Identifier
Identifier
Values
[1,0] generating graphics... => 1
[1,0,1,0] generating graphics... => 2
[1,1,0,0] generating graphics... => 2
[1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,0] generating graphics... => 6
[1,1,1,1,0,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 8
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 6
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 8
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 8
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 6
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 7
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 7
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 7
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 7
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 6
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 7
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 8
[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... => 6
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 10
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 9
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 9
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 12
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 8
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 8
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 8
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 11
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 8
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 7
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 10
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 6
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 7
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 8
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 9
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 8
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 10
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 7
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 7
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 7
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 10
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 7
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 7
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 7
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 7
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 8
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 7
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 10
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 9
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 7
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 7
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 7
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 9
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 8
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 9
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 9
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 8
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 9
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 9
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 7
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 8
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 11
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 11
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 7
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 6
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 8
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 7
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 7
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 7
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 7
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 7
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 7
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 9
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 9
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 7
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 8
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 8
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 8
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 8
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 8
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 8
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 8
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 8
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 8
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 8
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 10
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 10
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 10
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 8
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 6
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 6
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 7
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 7
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 7
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 8
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 8
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 8
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 8
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 9
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 9
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 9
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 9
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 9
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 6
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 7
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 8
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 9
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 10
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 6
click to show generating function       
Description
Sum of projective dimension of the indecomposable injective modules of the Nakayama algebra corresponding to the Dyck path.
Code


DeclareOperation("Sumprojdiminj", [IsList]);

InstallMethod(Sumprojdiminj, "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);
R:=IndecInjectiveModules(A);
temp2:=[];for i in R do Append(temp2,[ProjDimensionOfModule(i,1000)]);od;
return(Sum(temp2));
end
);


Created
Oct 30, 2017 at 10:52 by Rene Marczinzik
Updated
Oct 30, 2017 at 10:52 by Rene Marczinzik