Identifier
- St001125: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0]=>0
[1,0,1,0]=>1
[1,1,0,0]=>0
[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]=>0
[1,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,0]=>0
[1,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,0]=>0
[1,1,1,0,0,0,1,0]=>1
[1,1,1,0,0,1,0,0]=>0
[1,1,1,0,1,0,0,0]=>0
[1,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,0]=>0
[1,0,1,0,1,1,1,0,0,0]=>0
[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]=>0
[1,0,1,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,0]=>0
[1,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,0]=>0
[1,1,0,0,1,1,1,0,0,0]=>1
[1,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,0,0]=>0
[1,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,1,0,1,0,0,0]=>0
[1,1,0,1,1,1,0,0,0,0]=>0
[1,1,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,0,0,1,1,0,0]=>1
[1,1,1,0,0,1,0,0,1,0]=>0
[1,1,1,0,0,1,0,1,0,0]=>0
[1,1,1,0,0,1,1,0,0,0]=>0
[1,1,1,0,1,0,0,0,1,0]=>0
[1,1,1,0,1,0,0,1,0,0]=>0
[1,1,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,1,0,0,0,1,0,0]=>0
[1,1,1,1,0,0,1,0,0,0]=>0
[1,1,1,1,0,1,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,0]=>0
[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]=>0
[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]=>0
[1,0,1,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,1,0,0]=>1
[1,0,1,0,1,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,0,0,1,0,0]=>0
[1,0,1,0,1,1,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,1,1,0,0,0,0]=>0
[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]=>1
[1,0,1,1,0,0,1,1,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,0,0,1,0]=>1
[1,0,1,1,0,1,1,0,0,1,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,0,0,1,1,0,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,0,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,1,0,0,1,0,0]=>0
[1,0,1,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,0]=>0
[1,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,0]=>1
[1,1,0,0,1,0,1,1,0,1,0,0]=>0
[1,1,0,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,0]=>0
[1,1,0,0,1,1,0,1,1,0,0,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,0]=>2
[1,1,0,0,1,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,1,1,0,0,0]=>0
[1,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,1,0,0,0]=>0
[1,1,0,1,0,1,1,1,0,0,0,0]=>0
[1,1,0,1,1,0,0,0,1,0,1,0]=>0
[1,1,0,1,1,0,0,0,1,1,0,0]=>1
[1,1,0,1,1,0,0,1,0,0,1,0]=>0
[1,1,0,1,1,0,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,0]=>0
[1,1,0,1,1,0,1,0,0,0,1,0]=>0
[1,1,0,1,1,0,1,0,0,1,0,0]=>0
[1,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,1,0,1,1,0,1,1,0,0,0,0]=>0
[1,1,0,1,1,1,0,0,0,0,1,0]=>1
[1,1,0,1,1,1,0,0,0,1,0,0]=>0
[1,1,0,1,1,1,0,0,1,0,0,0]=>0
[1,1,0,1,1,1,0,1,0,0,0,0]=>0
[1,1,0,1,1,1,1,0,0,0,0,0]=>0
[1,1,1,0,0,0,1,0,1,0,1,0]=>0
[1,1,1,0,0,0,1,0,1,1,0,0]=>0
[1,1,1,0,0,0,1,1,0,0,1,0]=>2
[1,1,1,0,0,0,1,1,0,1,0,0]=>0
[1,1,1,0,0,0,1,1,1,0,0,0]=>1
[1,1,1,0,0,1,0,0,1,0,1,0]=>0
[1,1,1,0,0,1,0,0,1,1,0,0]=>0
[1,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,1,1,0,0,1,0,1,1,0,0,0]=>0
[1,1,1,0,0,1,1,0,0,0,1,0]=>1
[1,1,1,0,0,1,1,0,0,1,0,0]=>0
[1,1,1,0,0,1,1,0,1,0,0,0]=>0
[1,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,1,1,0,1,0,0,1,0,0,1,0]=>0
[1,1,1,0,1,0,0,1,0,1,0,0]=>0
[1,1,1,0,1,0,0,1,1,0,0,0]=>0
[1,1,1,0,1,0,1,0,0,0,1,0]=>0
[1,1,1,0,1,0,1,0,0,1,0,0]=>0
[1,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,1,1,0,1,1,0,0,0,0,1,0]=>1
[1,1,1,0,1,1,0,0,0,1,0,0]=>0
[1,1,1,0,1,1,0,0,1,0,0,0]=>0
[1,1,1,0,1,1,0,1,0,0,0,0]=>0
[1,1,1,0,1,1,1,0,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,0]=>0
[1,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,1,0,0,1,0]=>0
[1,1,1,1,0,0,0,1,0,1,0,0]=>0
[1,1,1,1,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,0,0,1,0,0,0,1,0]=>0
[1,1,1,1,0,0,1,0,0,1,0,0]=>0
[1,1,1,1,0,0,1,0,1,0,0,0]=>0
[1,1,1,1,0,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,1,0,0,0,0,1,0]=>0
[1,1,1,1,0,1,0,0,0,1,0,0]=>0
[1,1,1,1,0,1,0,0,1,0,0,0]=>0
[1,1,1,1,0,1,0,1,0,0,0,0]=>0
[1,1,1,1,0,1,1,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,0]=>0
[1,1,1,1,1,0,0,0,1,0,0,0]=>0
[1,1,1,1,1,0,0,1,0,0,0,0]=>0
[1,1,1,1,1,0,1,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>0
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>0
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>0
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>0
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>0
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>0
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>0
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>0
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>1
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>0
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>0
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>0
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>0
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>0
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>0
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>2
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>0
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>0
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>0
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>0
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>0
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>0
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>0
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>0
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>0
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>0
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>0
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>0
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>0
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>0
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>0
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>0
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>0
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>0
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>0
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>0
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>0
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>0
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>0
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>0
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>0
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>0
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>0
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>0
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>0
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>0
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>0
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>0
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>0
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>0
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>0
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>0
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>0
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>0
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>0
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>0
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>0
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>0
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>0
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>0
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>0
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>0
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>0
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>0
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>0
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>0
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>0
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>0
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>0
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>0
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>0
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>0
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>0
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>0
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>0
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>0
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>0
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>0
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>0
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>0
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>0
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>0
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>0
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>0
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>0
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0
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Description
The number of simple modules that satisfy the 2-regular condition in the corresponding Nakayama algebra.
References
[1] Enomoto, H. Classifications of exact structures and Cohen-Macaulay-finite algebras arXiv:1705.02163
Code
DeclareOperation("has2regularcondition",[IsList]);
InstallMethod(has2regularcondition, "for a representation of a quiver", [IsList],0,function(LIST)
local M, n, f, N, i, h,A,g,r,L,LL,subsets1,subsets2,W,simA,G1,G2,G3,g1,g2,g3,WU,O,OF,RegA;
A:=LIST[1];
M:=LIST[2];
RegA:=DirectSumOfQPAModules(IndecProjectiveModules(A));
g1:=ProjDimensionOfModule(M,30)-2;
g2:=Size(HomOverAlgebra(M,RegA))+Size(ExtOverAlgebra(M,RegA)[2]);
g3:=Size(ExtOverAlgebra(NthSyzygy(M,1),RegA)[2])-1;
return([g1,g2,g3]);
end);
# has 2-redular condition iff output is [0,0,0].
DeclareOperation("numberofsim2ausreg",[IsList]);
InstallMethod(numberofsim2ausreg, "for a representation of a quiver", [IsList],0,function(LIST)
local M, n, f, N, i, h,A,g,r,L,LL,subsets1,subsets2,W,simA,G1,G2,G3,g1,g2,g3,WU,O,OF,RegA;
A:=LIST[1];
simA:=SimpleModules(A);
WU:=Filtered(simA,x->has2regularcondition([A,x])=[0,0,0]);
return(Size(WU));
end);
Created
Mar 21, 2018 at 17:18 by Rene Marczinzik
Updated
Mar 21, 2018 at 17:18 by Rene Marczinzik
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