Identifier
Identifier
Values
[1,0] generating graphics... => 1
[1,0,1,0] generating graphics... => 2
[1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0] generating graphics... => 24
[1,0,1,0,1,1,0,0] generating graphics... => 6
[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... => 2
[1,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 120
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 24
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 12
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 24
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 12
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 24
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 24
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 24
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 24
[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... => 24
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 18
[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... => 4
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 6
[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... => 6
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[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... => 2
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 6
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 6
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[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... => 2
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 720
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 120
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 48
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 120
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 24
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 36
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 12
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 120
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 120
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 24
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 12
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 12
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 24
[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... => 48
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 12
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 8
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 12
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 120
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 24
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 120
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 72
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 24
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 12
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 24
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 24
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 12
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 12
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 12
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 24
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 24
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 24
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 6
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[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... => 6
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 120
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 24
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 12
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 24
[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... => 12
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 24
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 24
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 120
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 24
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 12
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 24
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 120
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 24
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 72
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 72
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 18
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 12
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 24
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 18
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 6
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 12
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 24
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 24
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 6
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 24
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 24
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 18
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 6
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[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... => 6
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 6
[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... => 24
[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... => 4
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 24
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 24
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 18
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 6
[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... => 24
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 6
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 24
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 18
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 6
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 24
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 18
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 18
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 6
[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... => 6
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 6
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 6
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 2
[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... => 2
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 6
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 6
[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... => 6
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 6
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 6
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 6
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 6
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 6
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 6
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[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... => 2
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 1
click to show generating function       
Description
The product of all non-zero projective dimensions of simple modules of the corresponding Nakayama algebra.
Code
DeclareOperation("productpdsim",[IsList]);

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

local A,simA,U;

A:=LIST[1];
simA:=Filtered(SimpleModules(A),x->IsProjectiveModule(x)=false);
U:=[];for i in simA do Append(U,[ProjDimensionOfModule(i,110)]);od;
return(Product(U));
end);

Created
Dec 05, 2018 at 13:45 by Rene Marczinzik
Updated
Dec 05, 2018 at 13:45 by Rene Marczinzik