Identifier
Identifier
Values
[1,0] generating graphics... => 1
[1,0,1,0] generating graphics... => 1
[1,1,0,0] generating graphics... => 2
[1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0] generating graphics... => 1
[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... => 3
[1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0] generating graphics... => 2
[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... => 4
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[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... => 5
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 4
[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... => 6
click to show generating function       
Description
Number of indecomposable projective module with injective dimension equal to the global dimension in the Nakayama algebra corresponding to the Dyck path.
Code
DeclareOperation("numbersprojinjdimgsmall", [IsList]);

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


local list, n, temp1, Liste_d, j, i, k, r, kk;


list:=L;

A:=NakayamaAlgebra(GF(3),list);
g:=gldim(list);
R:=IndecProjectiveModules(A);
RR:=Filtered(R,x->InjDimensionOfModule(x,g)=g);
return(Size(RR));
end
);
Created
Oct 27, 2017 at 21:22 by Rene Marczinzik
Updated
Oct 27, 2017 at 21:22 by Rene Marczinzik