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-----------------------------------------------------------------------------
Statistic identifier: St000307
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Collection: Posets
-----------------------------------------------------------------------------
Description: The number of rowmotion orbits of a poset.
Rowmotion is an operation on order ideals in a poset $P$. It sends an order ideal $I$ to the order ideal generated by the minimal antichain of $P \setminus I$.
-----------------------------------------------------------------------------
References: [1] Striker, J., Williams, N. Promotion and rowmotion [[MathSciNet:2950491]]
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Code:
def statistic(P):
return len(P.rowmotion_orbits())
-----------------------------------------------------------------------------
Statistic values:
([],1) => 1
([],2) => 2
([(0,1)],2) => 1
([],3) => 4
([(1,2)],3) => 1
([(0,1),(0,2)],3) => 2
([(0,2),(2,1)],3) => 1
([(0,2),(1,2)],3) => 2
([],4) => 8
([(2,3)],4) => 2
([(1,2),(1,3)],4) => 3
([(0,1),(0,2),(0,3)],4) => 4
([(0,2),(0,3),(3,1)],4) => 1
([(0,1),(0,2),(1,3),(2,3)],4) => 2
([(1,2),(2,3)],4) => 2
([(0,3),(3,1),(3,2)],4) => 2
([(1,3),(2,3)],4) => 3
([(0,3),(1,3),(3,2)],4) => 2
([(0,3),(1,3),(2,3)],4) => 4
([(0,3),(1,2)],4) => 3
([(0,3),(1,2),(1,3)],4) => 2
([(0,2),(0,3),(1,2),(1,3)],4) => 3
([(0,3),(2,1),(3,2)],4) => 1
([(0,3),(1,2),(2,3)],4) => 1
([],5) => 16
([(3,4)],5) => 4
([(2,3),(2,4)],5) => 6
([(1,2),(1,3),(1,4)],5) => 7
([(0,1),(0,2),(0,3),(0,4)],5) => 8
([(0,2),(0,3),(0,4),(4,1)],5) => 2
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 3
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 4
([(1,3),(1,4),(4,2)],5) => 1
([(0,3),(0,4),(4,1),(4,2)],5) => 3
([(1,2),(1,3),(2,4),(3,4)],5) => 4
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
([(0,3),(0,4),(3,2),(4,1)],5) => 3
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 3
([(2,3),(3,4)],5) => 4
([(1,4),(4,2),(4,3)],5) => 4
([(0,4),(4,1),(4,2),(4,3)],5) => 4
([(2,4),(3,4)],5) => 6
([(1,4),(2,4),(4,3)],5) => 4
([(0,4),(1,4),(4,2),(4,3)],5) => 3
([(1,4),(2,4),(3,4)],5) => 7
([(0,4),(1,4),(2,4),(4,3)],5) => 4
([(0,4),(1,4),(2,4),(3,4)],5) => 8
([(0,4),(1,4),(2,3)],5) => 4
([(0,4),(1,3),(2,3),(2,4)],5) => 3
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 4
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 5
([(0,4),(1,4),(2,3),(4,2)],5) => 2
([(0,4),(1,3),(2,3),(3,4)],5) => 3
([(0,4),(1,4),(2,3),(2,4)],5) => 3
([(0,4),(1,4),(2,3),(3,4)],5) => 2
([(1,4),(2,3)],5) => 3
([(1,4),(2,3),(2,4)],5) => 2
([(0,4),(1,2),(1,4),(2,3)],5) => 2
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2
([(1,3),(1,4),(2,3),(2,4)],5) => 5
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 2
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 3
([(0,4),(1,2),(1,4),(4,3)],5) => 1
([(0,4),(1,2),(1,3)],5) => 4
([(0,4),(1,2),(1,3),(1,4)],5) => 3
([(0,2),(0,4),(3,1),(4,3)],5) => 2
([(0,4),(1,2),(1,3),(3,4)],5) => 2
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 3
([(0,3),(0,4),(1,2),(1,4)],5) => 3
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 4
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 5
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 1
([(0,3),(1,2),(1,4),(3,4)],5) => 2
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 2
([(1,4),(3,2),(4,3)],5) => 1
([(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) => 1
([(0,3),(1,4),(4,2)],5) => 1
([(0,4),(3,2),(4,1),(4,3)],5) => 1
([(0,4),(1,2),(2,3),(2,4)],5) => 1
([(0,4),(2,3),(3,1),(4,2)],5) => 1
([(0,3),(1,2),(2,4),(3,4)],5) => 3
([(0,4),(1,2),(2,3),(3,4)],5) => 2
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
([],6) => 32
([(4,5)],6) => 8
([(3,4),(3,5)],6) => 12
([(2,3),(2,4),(2,5)],6) => 14
([(1,2),(1,3),(1,4),(1,5)],6) => 15
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 16
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 4
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 6
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 7
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 8
([(1,3),(1,4),(1,5),(5,2)],6) => 3
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 6
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 5
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 8
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 4
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 3
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 4
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 3
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(2,3),(2,4),(4,5)],6) => 2
([(1,4),(1,5),(5,2),(5,3)],6) => 5
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 7
([(2,3),(2,4),(3,5),(4,5)],6) => 8
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 3
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 3
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 6
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 2
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3
([(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) => 4
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5
([(3,4),(4,5)],6) => 8
([(2,3),(3,4),(3,5)],6) => 8
([(1,5),(5,2),(5,3),(5,4)],6) => 8
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 8
([(2,3),(3,5),(5,4)],6) => 2
([(1,4),(4,5),(5,2),(5,3)],6) => 3
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 4
([(3,5),(4,5)],6) => 12
([(2,5),(3,5),(5,4)],6) => 8
([(1,5),(2,5),(5,3),(5,4)],6) => 6
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 5
([(2,5),(3,5),(4,5)],6) => 14
([(1,5),(2,5),(3,5),(5,4)],6) => 8
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 5
([(1,5),(2,5),(3,5),(4,5)],6) => 15
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 8
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 16
([(0,5),(1,5),(2,5),(3,4)],6) => 6
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 4
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 7
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 4
([(1,5),(2,5),(3,4)],6) => 5
([(1,5),(2,4),(3,4),(3,5)],6) => 5
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 3
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 6
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 4
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 5
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
([(1,5),(2,5),(3,4),(5,3)],6) => 3
([(1,5),(2,4),(3,4),(4,5)],6) => 5
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 3
([(0,5),(1,5),(2,3),(5,4)],6) => 2
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 2
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 3
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 4
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 4
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 3
([(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) => 3
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 6
([(1,5),(2,5),(3,4),(4,5)],6) => 3
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 2
([(0,5),(1,5),(2,3),(3,4)],6) => 3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 4
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 4
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4
([(0,5),(1,5),(2,4),(3,4)],6) => 7
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 6
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 7
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 8
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 4
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 3
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
([(2,5),(3,4)],6) => 6
([(2,5),(3,4),(3,5)],6) => 4
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 3
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 3
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 2
([(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) => 2
([(2,4),(2,5),(3,4),(3,5)],6) => 10
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 4
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 6
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 3
([(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) => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 5
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
([(1,5),(2,3),(2,5),(5,4)],6) => 2
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 4
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 1
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 2
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 7
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
([(1,3),(1,5),(4,2),(5,4)],6) => 3
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 4
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 1
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 2
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 2
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 2
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 1
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 1
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 5
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 3
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 1
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 2
([(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) => 4
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 4
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 3
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 2
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 1
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 2
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 1
([(0,4),(0,5),(1,2),(1,3)],6) => 7
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 7
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 9
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 2
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 1
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 4
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 2
([(1,4),(2,3),(2,5),(4,5)],6) => 3
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 3
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 3
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
([(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) => 3
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 2
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 3
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 1
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 3
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 2
([(2,5),(3,4),(4,5)],6) => 2
([(1,5),(2,3),(3,5),(5,4)],6) => 2
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 2
([(1,3),(2,4),(4,5)],6) => 2
([(1,5),(4,3),(5,2),(5,4)],6) => 2
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 2
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 2
([(1,5),(3,4),(4,2),(5,3)],6) => 2
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
([(1,4),(2,3),(3,5),(4,5)],6) => 4
([(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) => 2
([(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) => 4
([(1,5),(2,3),(3,4),(4,5)],6) => 3
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 3
([(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) => 2
([(0,5),(1,4),(2,3)],6) => 9
([(0,5),(1,3),(2,4),(2,5)],6) => 4
([(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) => 2
([(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) => 2
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 2
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 7
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 2
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 2
([(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) => 3
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 3
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 2
([(0,5),(1,3),(4,2),(5,4)],6) => 1
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 3
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 3
([(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) => 1
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 2
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
([(0,5),(1,3),(2,4),(4,5)],6) => 1
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
([(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) => 1
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 1
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 32
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 8
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 12
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 14
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 5
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 9
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 15
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 7
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 16
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 8
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 16
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 8
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 15
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 8
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 7
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 6
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 8
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 8
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 14
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 12
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 4
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 4
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 3
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 4
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 7
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 3
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 5
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 3
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 2
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 5
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 2
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 8
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 2
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => 2
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 2
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 8
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => 2
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => 3
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 3
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 3
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 1
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => 1
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 5
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 3
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => 1
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 7
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 6
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 4
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 4
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 4
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 4
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => 4
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 2
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => 4
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 2
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => 4
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 3
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 2
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 2
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 1
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 3
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => 3
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => 3
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 1
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => 1
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => 2
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 9
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 3
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 4
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 2
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 3
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 2
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 4
([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 5
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 10
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 10
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 33
([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 10
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 15
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 11
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 34
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 33
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 34
([(4,6),(4,7),(5,6),(5,7)],8) => 40
([],8) => 128
([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 5
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) => 5
([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) => 5
([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8) => 5
([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8) => 3
([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8) => 3
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) => 5
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) => 3
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8) => 3
([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8) => 3
([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) => 5
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => 5
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 8
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 11
([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 16
([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 12
([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 7
([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => 8
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 31
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 26
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 29
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => 7
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 5
([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 6
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 8
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8) => 8
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8) => 11
([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => 9
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 10
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => 8
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => 15
([(4,7),(5,6)],8) => 24
([(0,7),(1,6),(2,5),(3,4)],8) => 27
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => 10
([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => 7
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => 3
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => 7
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => 7
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8) => 8
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8) => 6
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8) => 8
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8) => 10
([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => 7
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8) => 27
([(2,7),(3,7),(4,6),(5,6)],8) => 22
([(2,5),(3,4),(4,6),(5,7)],8) => 16
([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8) => 10
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8) => 6
([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8) => 4
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => 3
([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => 8
([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 12
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8) => 9
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8) => 8
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8) => 8
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => 10
([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 13
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 11
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 10
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 26
([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 8
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => 9
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => 11
([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8) => 8
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8) => 8
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => 8
([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8) => 8
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8) => 6
([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8) => 4
([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8) => 10
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => 15
([(2,6),(2,7),(3,4),(3,5)],8) => 22
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => 7
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => 5
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8) => 31
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8) => 29
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8) => 27
([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => 9
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9) => 12
([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => 8
([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => 17
([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => 23
([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11) => 16
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11) => 16
([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],11) => 27
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11) => 19
([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => 33
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13) => 45
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13) => 31
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(11,9),(12,10)],13) => 30
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(11,12),(12,10)],13) => 47
([(0,7),(1,7),(2,8),(3,8),(4,11),(5,10),(6,9),(7,10),(8,11),(10,12),(11,12),(12,9)],13) => 32
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13) => 26
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(10,12),(11,10)],13) => 47
([(0,10),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(7,12),(8,11),(9,10),(10,12),(12,11)],13) => 28
([(0,7),(1,7),(2,8),(3,8),(4,9),(5,10),(6,11),(7,10),(8,11),(9,12),(10,12),(11,9)],13) => 23
([(0,10),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,11),(9,10),(10,12),(11,12)],13) => 31
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Created: Dec 07, 2015 at 16:50 by Austin Lambert
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Last Updated: Jan 20, 2018 at 20:06 by Martin Rubey