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-----------------------------------------------------------------------------
Statistic identifier: St001631
-----------------------------------------------------------------------------
Collection: Posets
-----------------------------------------------------------------------------
Description: The number of simple modules $S$ with $dim Ext^1(S,A)=1$ in the incidence algebra $A$ of the poset.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
gap('LoadPackage("QPA");')
def incidence_algebra_gap(P):
P = P.relabel()
return gap("PosetAlgebra(GF(3), Poset(%s, %s))" % (list(P), P.cover_relations()))
def statistic(P):
A = incidence_algebra_gap(P)
simples = A.SimpleModules()
projective = A.IndecProjectiveModules().DirectSumOfQPAModules()
return sum(1 for M in simples if M.ExtOverAlgebra(projective)[2].Size().sage() == 1)
-----------------------------------------------------------------------------
Statistic values:
([],1) => 0
([],2) => 0
([(0,1)],2) => 1
([],3) => 0
([(1,2)],3) => 1
([(0,1),(0,2)],3) => 0
([(0,2),(2,1)],3) => 2
([(0,2),(1,2)],3) => 0
([],4) => 0
([(2,3)],4) => 1
([(1,2),(1,3)],4) => 0
([(0,1),(0,2),(0,3)],4) => 0
([(0,2),(0,3),(3,1)],4) => 1
([(0,1),(0,2),(1,3),(2,3)],4) => 0
([(1,2),(2,3)],4) => 2
([(0,3),(3,1),(3,2)],4) => 1
([(1,3),(2,3)],4) => 0
([(0,3),(1,3),(3,2)],4) => 1
([(0,3),(1,3),(2,3)],4) => 0
([(0,3),(1,2)],4) => 2
([(0,3),(1,2),(1,3)],4) => 0
([(0,2),(0,3),(1,2),(1,3)],4) => 0
([(0,3),(2,1),(3,2)],4) => 3
([(0,3),(1,2),(2,3)],4) => 1
([],5) => 0
([(3,4)],5) => 1
([(2,3),(2,4)],5) => 0
([(1,2),(1,3),(1,4)],5) => 0
([(0,1),(0,2),(0,3),(0,4)],5) => 0
([(0,2),(0,3),(0,4),(4,1)],5) => 1
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 0
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 0
([(1,3),(1,4),(4,2)],5) => 1
([(0,3),(0,4),(4,1),(4,2)],5) => 0
([(1,2),(1,3),(2,4),(3,4)],5) => 0
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1
([(0,3),(0,4),(3,2),(4,1)],5) => 2
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 0
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 0
([(2,3),(3,4)],5) => 2
([(1,4),(4,2),(4,3)],5) => 1
([(0,4),(4,1),(4,2),(4,3)],5) => 1
([(2,4),(3,4)],5) => 0
([(1,4),(2,4),(4,3)],5) => 1
([(0,4),(1,4),(4,2),(4,3)],5) => 0
([(1,4),(2,4),(3,4)],5) => 0
([(0,4),(1,4),(2,4),(4,3)],5) => 1
([(0,4),(1,4),(2,4),(3,4)],5) => 0
([(0,4),(1,4),(2,3)],5) => 1
([(0,4),(1,3),(2,3),(2,4)],5) => 0
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 0
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 0
([(0,4),(1,4),(2,3),(4,2)],5) => 2
([(0,4),(1,3),(2,3),(3,4)],5) => 0
([(0,4),(1,4),(2,3),(2,4)],5) => 0
([(0,4),(1,4),(2,3),(3,4)],5) => 1
([(1,4),(2,3)],5) => 2
([(1,4),(2,3),(2,4)],5) => 0
([(0,4),(1,2),(1,4),(2,3)],5) => 1
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 0
([(1,3),(1,4),(2,3),(2,4)],5) => 0
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 1
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 2
([(0,4),(1,2),(1,4),(4,3)],5) => 1
([(0,4),(1,2),(1,3)],5) => 1
([(0,4),(1,2),(1,3),(1,4)],5) => 0
([(0,2),(0,4),(3,1),(4,3)],5) => 2
([(0,4),(1,2),(1,3),(3,4)],5) => 0
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 0
([(0,3),(0,4),(1,2),(1,4)],5) => 0
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 0
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 0
([(0,3),(1,2),(1,4),(3,4)],5) => 1
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 1
([(1,4),(3,2),(4,3)],5) => 3
([(0,3),(3,4),(4,1),(4,2)],5) => 2
([(1,4),(2,3),(3,4)],5) => 1
([(0,4),(1,2),(2,4),(4,3)],5) => 2
([(0,3),(1,4),(4,2)],5) => 3
([(0,4),(3,2),(4,1),(4,3)],5) => 2
([(0,4),(1,2),(2,3),(2,4)],5) => 1
([(0,4),(2,3),(3,1),(4,2)],5) => 4
([(0,3),(1,2),(2,4),(3,4)],5) => 2
([(0,4),(1,2),(2,3),(3,4)],5) => 2
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1
([],6) => 0
([(4,5)],6) => 1
([(3,4),(3,5)],6) => 0
([(2,3),(2,4),(2,5)],6) => 0
([(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 0
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 1
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 0
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 0
([(1,3),(1,4),(1,5),(5,2)],6) => 1
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 0
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 1
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 0
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 1
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 2
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 0
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(2,3),(2,4),(4,5)],6) => 1
([(1,4),(1,5),(5,2),(5,3)],6) => 0
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 0
([(2,3),(2,4),(3,5),(4,5)],6) => 0
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 0
([(1,4),(1,5),(4,3),(5,2)],6) => 2
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 0
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 1
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 1
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 1
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 0
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 0
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 0
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(3,4),(4,5)],6) => 2
([(2,3),(3,4),(3,5)],6) => 1
([(1,5),(5,2),(5,3),(5,4)],6) => 1
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 1
([(2,3),(3,5),(5,4)],6) => 3
([(1,4),(4,5),(5,2),(5,3)],6) => 2
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 2
([(3,5),(4,5)],6) => 0
([(2,5),(3,5),(5,4)],6) => 1
([(1,5),(2,5),(5,3),(5,4)],6) => 0
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 0
([(2,5),(3,5),(4,5)],6) => 0
([(1,5),(2,5),(3,5),(5,4)],6) => 1
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 0
([(1,5),(2,5),(3,5),(4,5)],6) => 0
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
([(0,5),(1,5),(2,5),(3,4)],6) => 1
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 2
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 0
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 1
([(1,5),(2,5),(3,4)],6) => 1
([(1,5),(2,4),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 1
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 1
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 1
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 1
([(1,5),(2,5),(3,4),(5,3)],6) => 2
([(1,5),(2,4),(3,4),(4,5)],6) => 0
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
([(0,5),(1,5),(2,3),(5,4)],6) => 2
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 1
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 0
([(1,5),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 1
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 1
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 0
([(0,5),(1,5),(2,3),(2,4)],6) => 0
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 1
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 0
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 1
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 2
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 0
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 0
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(1,5),(2,5),(3,4),(4,5)],6) => 1
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
([(0,5),(1,5),(2,3),(3,4)],6) => 2
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 3
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 1
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 1
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 1
([(0,5),(1,5),(2,4),(3,4)],6) => 0
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 0
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 0
([(2,5),(3,4)],6) => 2
([(2,5),(3,4),(3,5)],6) => 0
([(1,5),(2,3),(2,5),(3,4)],6) => 1
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 0
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 0
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 1
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 2
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 0
([(2,4),(2,5),(3,4),(3,5)],6) => 0
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 1
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 0
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 3
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 1
([(1,5),(2,3),(2,5),(5,4)],6) => 1
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
([(1,5),(2,3),(2,4)],6) => 1
([(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 1
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 0
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 1
([(0,5),(1,2),(1,3),(1,4)],6) => 1
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 2
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 0
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 1
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 1
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 1
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
([(1,3),(1,5),(4,2),(5,4)],6) => 2
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 1
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 3
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 0
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 1
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 0
([(1,5),(2,3),(2,4),(4,5)],6) => 0
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 1
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 2
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 1
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 0
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 0
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 0
([(0,4),(1,3),(1,5),(5,2)],6) => 2
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 1
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 0
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 1
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 1
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 0
([(1,4),(1,5),(2,3),(2,5)],6) => 0
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 1
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 0
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 1
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 1
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 1
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 1
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 1
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 1
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 0
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 0
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 0
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 1
([(0,4),(0,5),(1,2),(1,3)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 0
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 0
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 0
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 1
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 0
([(1,4),(2,3),(2,5),(4,5)],6) => 1
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 2
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 1
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 2
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 2
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 1
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 1
([(0,5),(1,3),(1,4),(5,2)],6) => 2
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 3
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 1
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
([(2,5),(3,4),(4,5)],6) => 1
([(1,5),(2,3),(3,5),(5,4)],6) => 2
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 1
([(1,3),(2,4),(4,5)],6) => 3
([(1,5),(4,3),(5,2),(5,4)],6) => 2
([(1,5),(2,3),(3,4),(3,5)],6) => 1
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 2
([(0,4),(1,5),(5,2),(5,3)],6) => 2
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 2
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 1
([(1,5),(3,4),(4,2),(5,3)],6) => 4
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 3
([(1,4),(2,3),(3,5),(4,5)],6) => 2
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 3
([(0,5),(1,4),(4,2),(5,3)],6) => 4
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 3
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(1,5),(2,3),(3,4),(4,5)],6) => 2
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 1
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 3
([(0,5),(1,4),(2,3)],6) => 3
([(0,5),(1,3),(2,4),(2,5)],6) => 1
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 2
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 1
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 0
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 1
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 2
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 0
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 0
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 1
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 1
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 2
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 1
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 1
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 1
([(0,5),(1,3),(4,2),(5,4)],6) => 4
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 3
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 2
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 1
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 2
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 5
([(0,5),(1,3),(2,4),(4,5)],6) => 2
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 1
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 3
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 3
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 3
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 2
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 1
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 2
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 2
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 1
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 1
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 1
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 2
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7) => 1
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => 2
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7) => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7) => 1
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => 2
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => 1
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => 3
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => 1
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => 3
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => 3
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 1
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => 2
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => 3
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => 1
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => 3
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7) => 1
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => 1
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => 3
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => 1
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => 3
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 6
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => 2
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => 3
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => 3
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => 1
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => 3
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 3
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => 3
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Created: Oct 03, 2020 at 21:07 by Rene Marczinzik
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Last Updated: Nov 13, 2022 at 12:11 by Martin Rubey