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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]=>4 [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]=>5 [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]=>5 [1,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,0,1,0]=>5 [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]=>5 [1,1,1,0,0,1,0,0]=>5 [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]=>5 [1,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,0]=>6 [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]=>6 [1,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,0]=>6 [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]=>6 [1,0,1,1,1,0,0,1,0,0]=>6 [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]=>6 [1,1,0,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,1,0,0,1,0]=>6 [1,1,0,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,1,1,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,0]=>6 [1,1,0,1,0,1,0,0,1,0]=>6 [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]=>6 [1,1,0,1,1,0,0,1,0,0]=>6 [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]=>6 [1,1,1,0,0,0,1,1,0,0]=>6 [1,1,1,0,0,1,0,0,1,0]=>6 [1,1,1,0,0,1,0,1,0,0]=>6 [1,1,1,0,0,1,1,0,0,0]=>6 [1,1,1,0,1,0,0,0,1,0]=>6 [1,1,1,0,1,0,0,1,0,0]=>6 [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]=>6 [1,1,1,1,0,0,0,1,0,0]=>6 [1,1,1,1,0,0,1,0,0,0]=>6 [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]=>5 [1,0,1,0,1,0,1,0,1,1,0,0]=>6 [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]=>6 [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]=>7 [1,0,1,0,1,1,0,0,1,1,0,0]=>7 [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]=>7 [1,0,1,0,1,1,1,0,0,0,1,0]=>7 [1,0,1,0,1,1,1,0,0,1,0,0]=>7 [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]=>7 [1,0,1,1,0,0,1,0,1,1,0,0]=>7 [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]=>7 [1,0,1,1,0,0,1,1,1,0,0,0]=>7 [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]=>7 [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]=>7 [1,0,1,1,0,1,1,0,0,1,0,0]=>7 [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]=>7 [1,0,1,1,1,0,0,0,1,1,0,0]=>7 [1,0,1,1,1,0,0,1,0,0,1,0]=>7 [1,0,1,1,1,0,0,1,0,1,0,0]=>7 [1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,0,1,1,1,0,1,0,0,0,1,0]=>7 [1,0,1,1,1,0,1,0,0,1,0,0]=>7 [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]=>7 [1,0,1,1,1,1,0,0,0,1,0,0]=>7 [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]=>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]=>7 [1,1,0,0,1,0,1,1,0,0,1,0]=>7 [1,1,0,0,1,0,1,1,0,1,0,0]=>7 [1,1,0,0,1,0,1,1,1,0,0,0]=>7 [1,1,0,0,1,1,0,0,1,0,1,0]=>7 [1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,1,0,0,1,1,0,1,0,0,1,0]=>7 [1,1,0,0,1,1,0,1,0,1,0,0]=>7 [1,1,0,0,1,1,0,1,1,0,0,0]=>7 [1,1,0,0,1,1,1,0,0,0,1,0]=>7 [1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,1,0,0,1,1,1,0,1,0,0,0]=>7 [1,1,0,0,1,1,1,1,0,0,0,0]=>7 [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]=>7 [1,1,0,1,0,0,1,1,0,0,1,0]=>7 [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]=>7 [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]=>7 [1,1,0,1,0,1,0,1,0,0,1,0]=>7 [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]=>7 [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]=>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]=>7 [1,1,0,1,1,0,0,0,1,1,0,0]=>7 [1,1,0,1,1,0,0,1,0,0,1,0]=>7 [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]=>7 [1,1,0,1,1,0,1,0,0,0,1,0]=>7 [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]=>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]=>7 [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]=>7 [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]=>7 [1,1,1,0,0,0,1,0,1,1,0,0]=>7 [1,1,1,0,0,0,1,1,0,0,1,0]=>7 [1,1,1,0,0,0,1,1,0,1,0,0]=>7 [1,1,1,0,0,0,1,1,1,0,0,0]=>7 [1,1,1,0,0,1,0,0,1,0,1,0]=>7 [1,1,1,0,0,1,0,0,1,1,0,0]=>7 [1,1,1,0,0,1,0,1,0,0,1,0]=>7 [1,1,1,0,0,1,0,1,0,1,0,0]=>7 [1,1,1,0,0,1,0,1,1,0,0,0]=>7 [1,1,1,0,0,1,1,0,0,0,1,0]=>7 [1,1,1,0,0,1,1,0,0,1,0,0]=>7 [1,1,1,0,0,1,1,0,1,0,0,0]=>7 [1,1,1,0,0,1,1,1,0,0,0,0]=>7 [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]=>7 [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]=>7 [1,1,1,0,1,0,0,1,1,0,0,0]=>7 [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]=>7 [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]=>7 [1,1,1,0,1,1,0,0,0,1,0,0]=>7 [1,1,1,0,1,1,0,0,1,0,0,0]=>7 [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]=>7 [1,1,1,1,0,0,0,0,1,1,0,0]=>7 [1,1,1,1,0,0,0,1,0,0,1,0]=>7 [1,1,1,1,0,0,0,1,0,1,0,0]=>7 [1,1,1,1,0,0,0,1,1,0,0,0]=>7 [1,1,1,1,0,0,1,0,0,0,1,0]=>7 [1,1,1,1,0,0,1,0,0,1,0,0]=>7 [1,1,1,1,0,0,1,0,1,0,0,0]=>7 [1,1,1,1,0,0,1,1,0,0,0,0]=>7 [1,1,1,1,0,1,0,0,0,0,1,0]=>7 [1,1,1,1,0,1,0,0,0,1,0,0]=>7 [1,1,1,1,0,1,0,0,1,0,0,0]=>7 [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]=>7 [1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,0,0,0,1,0,0,0]=>7 [1,1,1,1,1,0,0,1,0,0,0,0]=>7 [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
Number of simple modules with projective dimension at most 4 in the corresponding Nakayama algebra.
Code

DeclareOperation("numbersimplesprojdimatmostt",[IsList]);

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

local A,t,simA,TT;

A:=LIST[1];
t:=LIST[2];
simA:=SimpleModules(A);
TT:=Filtered(simA,x->ProjDimensionOfModule(x,30)<=t);
return(Size(TT));

end);
Created
May 09, 2018 at 22:33 by Rene Marczinzik
Updated
May 09, 2018 at 22:33 by Rene Marczinzik