Identifier
Identifier
Values
[1,0] generating graphics... => 1
[1,0,1,0] generating graphics... => 2
[1,1,0,0] generating graphics... => 3
[1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,1,0,0,0] generating graphics... => 7
[1,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,0,0] generating graphics... => 7
[1,1,0,1,1,0,0,0] generating graphics... => 8
[1,1,1,0,0,0,1,0] generating graphics... => 7
[1,1,1,0,0,1,0,0] generating graphics... => 8
[1,1,1,0,1,0,0,0] generating graphics... => 9
[1,1,1,1,0,0,0,0] generating graphics... => 10
[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... => 6
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 8
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 7
[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... => 8
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 9
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 8
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 9
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 10
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 11
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 7
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 7
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 8
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 9
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 7
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 8
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 8
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 9
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 10
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 9
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 10
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 11
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 12
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 8
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 9
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 9
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 10
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 11
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 10
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 11
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 12
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 13
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 11
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 12
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 13
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 14
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 15
[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... => 7
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 7
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 8
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 9
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 7
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 8
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 8
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 9
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 10
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 9
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 10
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 11
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 12
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 7
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 8
[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... => 9
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 10
[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... => 9
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 9
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 10
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 11
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 10
[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... => 12
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 13
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 9
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 10
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 10
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 11
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 12
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 11
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 12
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 13
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 14
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 12
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 13
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 14
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 15
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 16
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 7
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 8
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 8
[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... => 10
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 8
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 9
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 9
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 10
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 11
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 10
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 11
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 12
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 13
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 8
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 9
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 9
[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... => 11
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 9
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 10
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 10
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 11
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 12
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 11
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 12
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 13
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 14
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 10
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 11
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 11
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 12
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 13
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 12
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 13
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 14
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 15
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 13
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 14
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 15
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 16
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 17
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 9
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 10
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 10
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 11
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 12
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 10
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 11
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 11
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 12
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 13
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 12
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 13
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 14
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 15
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 11
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 12
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 12
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 13
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 14
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 13
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 14
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 15
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 16
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 14
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 15
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 16
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 17
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 18
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 12
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 13
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 13
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 14
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 15
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 14
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 15
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 16
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 17
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 15
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 16
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 17
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 18
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 19
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 16
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 17
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 18
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 19
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 20
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 21
click to show generating function       
Description
The vector space dimension of the space of module homomorphisms between J and itself when J denotes the Jacobson radical of the corresponding Nakayama algebra.
Code
DeclareOperation("dimhomjj",[IsList]);

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

local A,simA,M,g,n,U,RegA,J;

A:=LIST[1];
RegA:=DirectSumOfQPAModules(IndecProjectiveModules(A));
J:=RadicalOfModule(RegA);

return(Size(HomOverAlgebra(J,J)));
end);

Created
Jul 19, 2018 at 23:34 by Rene Marczinzik
Updated
Jul 19, 2018 at 23:34 by Rene Marczinzik