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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>1 [1,0,1,0]=>2 [1,1,0,0]=>2 [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]=>3 [1,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,0]=>4 [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]=>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]=>4 [1,1,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,0,0]=>6 [1,1,1,1,0,0,0,0]=>4 [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]=>8 [1,0,1,0,1,1,1,0,0,0]=>5 [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]=>7 [1,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,1,0,0,0]=>7 [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]=>9 [1,0,1,1,1,1,0,0,0,0]=>5 [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]=>5 [1,1,0,0,1,1,0,1,0,0]=>7 [1,1,0,0,1,1,1,0,0,0]=>5 [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]=>8 [1,1,0,1,1,0,1,0,0,0]=>8 [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]=>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]=>7 [1,1,1,0,1,0,0,1,0,0]=>7 [1,1,1,0,1,0,1,0,0,0]=>7 [1,1,1,0,1,1,0,0,0,0]=>7 [1,1,1,1,0,0,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,0]=>6 [1,1,1,1,0,0,1,0,0,0]=>7 [1,1,1,1,0,1,0,0,0,0]=>8 [1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,0,1,0,1,0,1,0]=>6 [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]=>6 [1,0,1,0,1,0,1,1,0,1,0,0]=>10 [1,0,1,0,1,0,1,1,1,0,0,0]=>6 [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]=>9 [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]=>9 [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]=>7 [1,0,1,0,1,1,1,0,1,0,0,0]=>12 [1,0,1,0,1,1,1,1,0,0,0,0]=>6 [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]=>6 [1,0,1,1,0,0,1,1,0,1,0,0]=>8 [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]=>8 [1,0,1,1,0,1,0,0,1,1,0,0]=>8 [1,0,1,1,0,1,0,1,0,0,1,0]=>7 [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]=>8 [1,0,1,1,0,1,1,0,0,1,0,0]=>11 [1,0,1,1,0,1,1,0,1,0,0,0]=>10 [1,0,1,1,0,1,1,1,0,0,0,0]=>8 [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]=>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]=>10 [1,0,1,1,1,0,1,0,0,1,0,0]=>9 [1,0,1,1,1,0,1,0,1,0,0,0]=>8 [1,0,1,1,1,0,1,1,0,0,0,0]=>10 [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]=>7 [1,0,1,1,1,1,0,0,1,0,0,0]=>8 [1,0,1,1,1,1,0,1,0,0,0,0]=>12 [1,0,1,1,1,1,1,0,0,0,0,0]=>6 [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]=>6 [1,1,0,0,1,0,1,1,0,1,0,0]=>9 [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]=>6 [1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,1,0,0,1,1,0,1,0,0,1,0]=>8 [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]=>8 [1,1,0,0,1,1,1,0,0,0,1,0]=>6 [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]=>10 [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]=>7 [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]=>10 [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]=>7 [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]=>8 [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]=>10 [1,1,0,1,0,1,1,0,1,0,0,0]=>9 [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]=>9 [1,1,0,1,1,0,0,1,0,1,0,0]=>8 [1,1,0,1,1,0,0,1,1,0,0,0]=>9 [1,1,0,1,1,0,1,0,0,0,1,0]=>9 [1,1,0,1,1,0,1,0,0,1,0,0]=>8 [1,1,0,1,1,0,1,0,1,0,0,0]=>9 [1,1,0,1,1,0,1,1,0,0,0,0]=>9 [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]=>8 [1,1,0,1,1,1,0,0,1,0,0,0]=>11 [1,1,0,1,1,1,0,1,0,0,0,0]=>11 [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]=>6 [1,1,1,0,0,0,1,1,0,1,0,0]=>8 [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]=>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]=>9 [1,1,1,0,0,1,1,0,1,0,0,0]=>9 [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]=>8 [1,1,1,0,1,0,0,0,1,1,0,0]=>8 [1,1,1,0,1,0,0,1,0,0,1,0]=>8 [1,1,1,0,1,0,0,1,0,1,0,0]=>8 [1,1,1,0,1,0,0,1,1,0,0,0]=>8 [1,1,1,0,1,0,1,0,0,0,1,0]=>8 [1,1,1,0,1,0,1,0,0,1,0,0]=>8 [1,1,1,0,1,0,1,0,1,0,0,0]=>8 [1,1,1,0,1,0,1,1,0,0,0,0]=>8 [1,1,1,0,1,1,0,0,0,0,1,0]=>8 [1,1,1,0,1,1,0,0,0,1,0,0]=>10 [1,1,1,0,1,1,0,0,1,0,0,0]=>10 [1,1,1,0,1,1,0,1,0,0,0,0]=>10 [1,1,1,0,1,1,1,0,0,0,0,0]=>8 [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]=>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]=>8 [1,1,1,1,0,0,1,0,0,1,0,0]=>8 [1,1,1,1,0,0,1,0,1,0,0,0]=>8 [1,1,1,1,0,0,1,1,0,0,0,0]=>8 [1,1,1,1,0,1,0,0,0,0,1,0]=>9 [1,1,1,1,0,1,0,0,0,1,0,0]=>9 [1,1,1,1,0,1,0,0,1,0,0,0]=>9 [1,1,1,1,0,1,0,1,0,0,0,0]=>9 [1,1,1,1,0,1,1,0,0,0,0,0]=>9 [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]=>7 [1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,1,1,1,1,0,1,0,0,0,0,0]=>10 [1,1,1,1,1,1,0,0,0,0,0,0]=>6
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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