Identifier
Identifier
Values
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 0
[1,1,0,0] generating graphics... => 0
[1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[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... => 0
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 0
[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... => 2
[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... => 0
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 0
[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... => 0
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[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... => 3
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[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... => 0
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 1
[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... => 3
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[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... => 0
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 0
[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... => 2
[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... => 0
[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... => 2
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 0
[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... => 0
[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... => 2
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[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... => 2
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[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... => 0
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[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... => 0
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 0
[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... => 2
[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... => 0
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[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... => 1
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 2
[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... => 1
[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... => 3
[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... => 3
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 0
[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... => 0
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 1
[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... => 3
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[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... => 4
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 4
[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... => 0
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 3
[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... => 3
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 1
[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... => 3
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
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Description
The vector space dimension of the first extension group between the Jacobson radical J and J^2.
The vector space dimension of $Ext_A^1(J,J^2)$.
Code



DeclareOperation("ext1rads", [IsList]);

InstallMethod(ext1rads, "for a representation of a quiver", [IsList],0,function(L)


local A,RegA,J1,J2;



A:=L[1];
RegA:=DirectSumOfQPAModules(IndecProjectiveModules(A));
J1:=RadicalOfModule(RegA);
J2:=RadicalOfModule(J1);
return(Size(ExtOverAlgebra(J1,J2)[2]));
end
);

Created
Jul 20, 2018 at 18:14 by Rene Marczinzik
Updated
Jul 20, 2018 at 18:14 by Rene Marczinzik