Identifier
Identifier
  • St001067: Dyck paths ⟶ ℤ (values match St000932The number of occurrences of the pattern UDU in a Dyck path., St001223Number of indecomposable projective non-injective modules P such that the modules X and Y in a an Auslander-Reiten sequence ending at P are torsionless.)
Values
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 1
[1,1,0,0] generating graphics... => 0
[1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0] generating graphics... => 1
[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... => 3
[1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0] generating graphics... => 1
[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... => 0
[1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[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... => 1
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[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... => 2
[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... => 1
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[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... => 1
[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... => 0
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[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... => 0
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[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... => 5
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[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... => 2
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 1
[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... => 2
[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... => 1
[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... => 1
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[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... => 0
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 3
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[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... => 3
[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... => 2
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[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... => 2
[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... => 1
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[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... => 1
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[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... => 2
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 1
[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... => 0
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 0
[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... => 1
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 1
[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... => 0
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 1
[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... => 0
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 0
click to show generating function       
Description
The number of simple modules of dominant dimension at least two in the corresponding Nakayama algebra.
Code
DeclareOperation("NumberOfdomdim2SimpleModules",[IsList]);

InstallMethod(NumberOfdomdim2SimpleModules, "for a representation of a quiver", [IsList],0,function(LIST)

local M, n, f, N, i, h,W;

L:=LIST[1];

A:=NakayamaAlgebra(L,GF(3));
simA:=SimpleModules(A);
U:=Filtered(simA,x->DominantDimensionOfModule(x,30)>=2);
return(Size(U));


end);
Created
Dec 30, 2017 at 14:59 by Rene Marczinzik
Updated
Dec 30, 2017 at 14:59 by Rene Marczinzik