Identifier
- St001295: Dyck paths ⟶ ℤ (values match St000012The area of a Dyck path.)
Values
=>
Cc0005;cc-rep
[1,0]=>0
[1,0,1,0]=>0
[1,1,0,0]=>1
[1,0,1,0,1,0]=>0
[1,0,1,1,0,0]=>1
[1,1,0,0,1,0]=>1
[1,1,0,1,0,0]=>2
[1,1,1,0,0,0]=>3
[1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,0]=>3
[1,1,0,1,1,0,0,0]=>4
[1,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,0,0]=>4
[1,1,1,0,1,0,0,0]=>5
[1,1,1,1,0,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,1,1,1,0,0,0,0]=>6
[1,1,0,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,1,0,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,1,0,0]=>3
[1,1,0,1,0,1,0,0,1,0]=>3
[1,1,0,1,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,1,0,0,0]=>5
[1,1,0,1,1,0,0,0,1,0]=>4
[1,1,0,1,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,1,0,0,0]=>6
[1,1,0,1,1,1,0,0,0,0]=>7
[1,1,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,0]=>4
[1,1,1,0,0,1,0,0,1,0]=>4
[1,1,1,0,0,1,0,1,0,0]=>5
[1,1,1,0,0,1,1,0,0,0]=>6
[1,1,1,0,1,0,0,0,1,0]=>5
[1,1,1,0,1,0,0,1,0,0]=>6
[1,1,1,0,1,0,1,0,0,0]=>7
[1,1,1,0,1,1,0,0,0,0]=>8
[1,1,1,1,0,0,0,0,1,0]=>6
[1,1,1,1,0,0,0,1,0,0]=>7
[1,1,1,1,0,0,1,0,0,0]=>8
[1,1,1,1,0,1,0,0,0,0]=>9
[1,1,1,1,1,0,0,0,0,0]=>10
[1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,1,0,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,1,0,1,0,0,0]=>5
[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]=>1
[1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,0]=>4
[1,0,1,1,0,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,0]=>3
[1,0,1,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,1,0,0,0]=>5
[1,0,1,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,0,1,1,0,1,0,0,0]=>6
[1,0,1,1,0,1,1,1,0,0,0,0]=>7
[1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,0,0]=>6
[1,0,1,1,1,0,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,0]=>6
[1,0,1,1,1,0,1,0,1,0,0,0]=>7
[1,0,1,1,1,0,1,1,0,0,0,0]=>8
[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]=>9
[1,0,1,1,1,1,1,0,0,0,0,0]=>10
[1,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,0,0]=>5
[1,1,0,0,1,1,1,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,0]=>6
[1,1,0,0,1,1,1,1,0,0,0,0]=>7
[1,1,0,1,0,0,1,0,1,0,1,0]=>2
[1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,1,0,0,0]=>5
[1,1,0,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,1,0,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,1,0,1,1,0,0,1,0,0]=>6
[1,1,0,1,0,1,1,0,1,0,0,0]=>7
[1,1,0,1,0,1,1,1,0,0,0,0]=>8
[1,1,0,1,1,0,0,0,1,0,1,0]=>4
[1,1,0,1,1,0,0,0,1,1,0,0]=>5
[1,1,0,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,0,1,0,0]=>6
[1,1,0,1,1,0,0,1,1,0,0,0]=>7
[1,1,0,1,1,0,1,0,0,0,1,0]=>6
[1,1,0,1,1,0,1,0,0,1,0,0]=>7
[1,1,0,1,1,0,1,0,1,0,0,0]=>8
[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]=>9
[1,1,0,1,1,1,0,1,0,0,0,0]=>10
[1,1,0,1,1,1,1,0,0,0,0,0]=>11
[1,1,1,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,0]=>4
[1,1,1,0,0,0,1,1,0,0,1,0]=>4
[1,1,1,0,0,0,1,1,0,1,0,0]=>5
[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]=>4
[1,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,1,1,0,0,1,0,1,0,1,0,0]=>6
[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]=>6
[1,1,1,0,0,1,1,0,0,1,0,0]=>7
[1,1,1,0,0,1,1,0,1,0,0,0]=>8
[1,1,1,0,0,1,1,1,0,0,0,0]=>9
[1,1,1,0,1,0,0,0,1,0,1,0]=>5
[1,1,1,0,1,0,0,0,1,1,0,0]=>6
[1,1,1,0,1,0,0,1,0,0,1,0]=>6
[1,1,1,0,1,0,0,1,0,1,0,0]=>7
[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]=>7
[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]=>9
[1,1,1,0,1,0,1,1,0,0,0,0]=>10
[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]=>9
[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]=>11
[1,1,1,0,1,1,1,0,0,0,0,0]=>12
[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]=>7
[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]=>8
[1,1,1,1,0,0,0,1,1,0,0,0]=>9
[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]=>9
[1,1,1,1,0,0,1,0,1,0,0,0]=>10
[1,1,1,1,0,0,1,1,0,0,0,0]=>11
[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]=>10
[1,1,1,1,0,1,0,0,1,0,0,0]=>11
[1,1,1,1,0,1,0,1,0,0,0,0]=>12
[1,1,1,1,0,1,1,0,0,0,0,0]=>13
[1,1,1,1,1,0,0,0,0,0,1,0]=>10
[1,1,1,1,1,0,0,0,0,1,0,0]=>11
[1,1,1,1,1,0,0,0,1,0,0,0]=>12
[1,1,1,1,1,0,0,1,0,0,0,0]=>13
[1,1,1,1,1,0,1,0,0,0,0,0]=>14
[1,1,1,1,1,1,0,0,0,0,0,0]=>15
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Description
Gives the vector space dimension of the homomorphism space between J^2 and J^2.
Code
DeclareOperation("hom1rads2", [IsList]); InstallMethod(hom1rads2, "for a representation of a quiver", [IsList],0,function(L) local A,RegA,J1,J2,J3; A:=L[1]; RegA:=DirectSumOfQPAModules(IndecProjectiveModules(A)); J1:=RadicalOfModule(RegA); J2:=RadicalOfModule(J1); return(Size(HomOverAlgebra(J2,J2))); end );
Created
Jul 20, 2018 at 18:31 by Rene Marczinzik
Updated
Jul 20, 2018 at 18:31 by Rene Marczinzik
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