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-----------------------------------------------------------------------------
Statistic identifier: St000524
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Collection: Posets
-----------------------------------------------------------------------------
Description: The number of posets with the same order polynomial.
The order polynomial of a poset $P$ is the polynomial $S$ such that $S(m)$ is the number of order-preserving maps from $P$ to $\{1,\dots,m\}$.
See sections 3.12 and 3.15 of [1].
-----------------------------------------------------------------------------
References: [1] Stanley, R. P. Enumerative combinatorics. Volume 1 [[MathSciNet:2868112]]
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Code:
@cached_function
def order_polynomial_multiplicities(n):
l = [P.order_polynomial() for P in Posets(n)]
return {p: l.count(p) for p in l}
def statistic(P):
return order_polynomial_multiplicities(P.cardinality())[P.order_polynomial()]
-----------------------------------------------------------------------------
Statistic values:
([],2) => 1
([(0,1)],2) => 1
([],3) => 1
([(1,2)],3) => 1
([(0,1),(0,2)],3) => 2
([(0,2),(2,1)],3) => 1
([(0,2),(1,2)],3) => 2
([],4) => 1
([(2,3)],4) => 1
([(1,2),(1,3)],4) => 2
([(0,1),(0,2),(0,3)],4) => 3
([(0,2),(0,3),(3,1)],4) => 2
([(0,1),(0,2),(1,3),(2,3)],4) => 3
([(1,2),(2,3)],4) => 1
([(0,3),(3,1),(3,2)],4) => 3
([(1,3),(2,3)],4) => 2
([(0,3),(1,3),(3,2)],4) => 3
([(0,3),(1,3),(2,3)],4) => 3
([(0,3),(1,2)],4) => 3
([(0,3),(1,2),(1,3)],4) => 1
([(0,2),(0,3),(1,2),(1,3)],4) => 1
([(0,3),(2,1),(3,2)],4) => 1
([(0,3),(1,2),(2,3)],4) => 2
([],5) => 1
([(3,4)],5) => 1
([(2,3),(2,4)],5) => 2
([(1,2),(1,3),(1,4)],5) => 3
([(0,1),(0,2),(0,3),(0,4)],5) => 2
([(0,2),(0,3),(0,4),(4,1)],5) => 2
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 4
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 5
([(1,3),(1,4),(4,2)],5) => 2
([(0,3),(0,4),(4,1),(4,2)],5) => 4
([(1,2),(1,3),(2,4),(3,4)],5) => 4
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4
([(0,3),(0,4),(3,2),(4,1)],5) => 5
([(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) => 1
([(1,4),(4,2),(4,3)],5) => 4
([(0,4),(4,1),(4,2),(4,3)],5) => 5
([(2,4),(3,4)],5) => 2
([(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) => 3
([(0,4),(1,4),(2,4),(4,3)],5) => 5
([(0,4),(1,4),(2,4),(3,4)],5) => 2
([(0,4),(1,4),(2,3)],5) => 2
([(0,4),(1,3),(2,3),(2,4)],5) => 2
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 2
([(0,4),(1,4),(2,3),(4,2)],5) => 4
([(0,4),(1,3),(2,3),(3,4)],5) => 4
([(0,4),(1,4),(2,3),(2,4)],5) => 2
([(0,4),(1,4),(2,3),(3,4)],5) => 2
([(1,4),(2,3)],5) => 3
([(1,4),(2,3),(2,4)],5) => 1
([(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) => 1
([(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) => 2
([(0,4),(1,2),(1,3)],5) => 2
([(0,4),(1,2),(1,3),(1,4)],5) => 2
([(0,2),(0,4),(3,1),(4,3)],5) => 2
([(0,4),(1,2),(1,3),(3,4)],5) => 1
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
([(0,3),(0,4),(1,2),(1,4)],5) => 2
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 2
([(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) => 4
([(1,4),(2,3),(3,4)],5) => 2
([(0,4),(1,2),(2,4),(4,3)],5) => 3
([(0,3),(1,4),(4,2)],5) => 4
([(0,4),(3,2),(4,1),(4,3)],5) => 3
([(0,4),(1,2),(2,3),(2,4)],5) => 2
([(0,4),(2,3),(3,1),(4,2)],5) => 1
([(0,3),(1,2),(2,4),(3,4)],5) => 5
([(0,4),(1,2),(2,3),(3,4)],5) => 2
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4
([],6) => 1
([(4,5)],6) => 1
([(3,4),(3,5)],6) => 2
([(2,3),(2,4),(2,5)],6) => 3
([(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 2
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 2
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 4
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 6
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 3
([(1,3),(1,4),(1,5),(5,2)],6) => 2
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 4
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 4
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 7
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 5
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 6
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 9
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 4
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 6
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 8
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 6
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 2
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(2,3),(2,4),(4,5)],6) => 2
([(1,4),(1,5),(5,2),(5,3)],6) => 4
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 6
([(2,3),(2,4),(3,5),(4,5)],6) => 4
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 7
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 6
([(1,4),(1,5),(4,3),(5,2)],6) => 5
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 5
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 4
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 5
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 4
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 6
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 5
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 9
([(3,4),(4,5)],6) => 1
([(2,3),(3,4),(3,5)],6) => 4
([(1,5),(5,2),(5,3),(5,4)],6) => 5
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 3
([(2,3),(3,5),(5,4)],6) => 1
([(1,4),(4,5),(5,2),(5,3)],6) => 7
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 7
([(3,5),(4,5)],6) => 2
([(2,5),(3,5),(5,4)],6) => 4
([(1,5),(2,5),(5,3),(5,4)],6) => 3
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 9
([(2,5),(3,5),(4,5)],6) => 3
([(1,5),(2,5),(3,5),(5,4)],6) => 5
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 9
([(1,5),(2,5),(3,5),(4,5)],6) => 2
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 3
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
([(0,5),(1,5),(2,5),(3,4)],6) => 3
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 7
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 6
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
([(1,5),(2,5),(3,4)],6) => 2
([(1,5),(2,4),(3,4),(3,5)],6) => 2
([(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) => 6
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 4
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 5
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 9
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 2
([(1,5),(2,5),(3,4),(5,3)],6) => 7
([(1,5),(2,4),(3,4),(4,5)],6) => 4
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 6
([(0,5),(1,5),(2,3),(5,4)],6) => 5
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 4
([(1,5),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 2
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 2
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 4
([(0,5),(1,5),(2,3),(2,4)],6) => 3
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 6
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 4
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 4
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 1
([(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) => 8
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 7
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 2
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 5
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 6
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
([(1,5),(2,5),(3,4),(4,5)],6) => 2
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 7
([(0,5),(1,5),(2,3),(3,4)],6) => 2
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 5
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 5
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 4
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 2
([(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) => 8
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 7
([(0,5),(1,5),(2,4),(3,4)],6) => 3
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 2
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 3
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 8
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 6
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 4
([(2,5),(3,4)],6) => 3
([(2,5),(3,4),(3,5)],6) => 1
([(1,5),(2,3),(2,5),(3,4)],6) => 2
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 4
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 5
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 2
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 5
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 3
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 6
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 9
([(2,4),(2,5),(3,4),(3,5)],6) => 1
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 2
([(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) => 3
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 9
([(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) => 1
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 4
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 6
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 2
([(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) => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2
([(1,5),(2,3),(2,5),(5,4)],6) => 4
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 4
([(1,5),(2,3),(2,4)],6) => 2
([(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 4
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 2
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 4
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 2
([(0,5),(1,2),(1,3),(1,4)],6) => 3
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 2
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 2
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 5
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 1
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 7
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 6
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 2
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 4
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(1,3),(1,5),(4,2),(5,4)],6) => 2
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 8
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 8
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 6
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 3
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 6
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 4
([(1,5),(2,3),(2,4),(4,5)],6) => 1
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 4
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 3
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 6
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 2
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 4
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 2
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 2
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
([(0,4),(1,3),(1,5),(5,2)],6) => 2
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 5
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 2
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 2
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 3
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 5
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 5
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 5
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 8
([(1,4),(1,5),(2,3),(2,5)],6) => 2
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 4
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 2
([(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) => 9
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 2
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 2
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 5
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 2
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 1
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 2
([(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) => 4
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 2
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 2
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 4
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 1
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 2
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 6
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 1
([(0,4),(0,5),(1,2),(1,3)],6) => 3
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 3
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 2
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 2
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 2
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 2
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 4
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 4
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 2
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 2
([(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) => 1
([(1,4),(2,3),(2,5),(4,5)],6) => 2
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 2
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2
([(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) => 6
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 6
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 2
([(0,5),(1,3),(1,4),(5,2)],6) => 2
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 2
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 6
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 3
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 2
([(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) => 3
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6
([(1,3),(2,4),(4,5)],6) => 4
([(1,5),(4,3),(5,2),(5,4)],6) => 3
([(1,5),(2,3),(3,4),(3,5)],6) => 4
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
([(0,4),(1,5),(5,2),(5,3)],6) => 5
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 7
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 2
([(1,5),(3,4),(4,2),(5,3)],6) => 1
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 5
([(1,4),(2,3),(3,5),(4,5)],6) => 5
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 7
([(0,5),(1,4),(4,2),(5,3)],6) => 5
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 3
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 6
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 9
([(1,5),(2,3),(3,4),(4,5)],6) => 2
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 7
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 5
([(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) => 2
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 4
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 6
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 4
([(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) => 6
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 2
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 1
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 2
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 1
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 4
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 2
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 2
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 2
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 2
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 2
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 4
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 6
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 3
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 4
([(0,5),(1,3),(4,2),(5,4)],6) => 5
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 7
([(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) => 4
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 4
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 6
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
([(0,5),(1,3),(2,4),(4,5)],6) => 2
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 2
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 4
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 5
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 5
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 8
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 4
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 6
([],7) => 1
([(5,6)],7) => 1
([(4,5),(4,6)],7) => 2
([(3,4),(3,5),(3,6)],7) => 3
([(2,3),(2,4),(2,5),(2,6)],7) => 2
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 2
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 2
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 6
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 3
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 2
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 4
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 4
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 6
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 6
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 9
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 10
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 7
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 11
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 6
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 8
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 8
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 6
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 2
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(2,4),(2,5),(2,6),(6,3)],7) => 2
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 4
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 6
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 4
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 7
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 20
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 5
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 6
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 5
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 12
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 10
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 20
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 12
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 8
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 8
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 10
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 9
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 4
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 6
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 2
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 10
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 13
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 6
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 8
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 10
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 8
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 8
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 6
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 6
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 2
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 11
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 8
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 6
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 6
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 6
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 4
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 6
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 12
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 4
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 4
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 4
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 4
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 6
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 2
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 4
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 2
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 8
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 6
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 6
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 4
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 5
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 2
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 12
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 4
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 4
([(3,4),(3,5),(5,6)],7) => 2
([(2,5),(2,6),(6,3),(6,4)],7) => 4
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 6
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
([(3,4),(3,5),(4,6),(5,6)],7) => 4
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 7
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 6
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 20
([(2,5),(2,6),(5,4),(6,3)],7) => 5
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 8
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 6
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 13
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 6
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 10
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 20
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 6
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 4
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 4
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 8
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 5
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 9
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 4
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 4
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 6
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 5
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 12
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 6
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 13
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 20
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 4
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 8
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 6
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 6
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 7
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 4
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 11
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 4
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 6
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 3
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 5
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 12
([(4,5),(5,6)],7) => 1
([(3,4),(4,5),(4,6)],7) => 4
([(2,6),(6,3),(6,4),(6,5)],7) => 5
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 3
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 3
([(3,4),(4,6),(6,5)],7) => 1
([(2,5),(5,6),(6,3),(6,4)],7) => 7
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 7
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 4
([(4,6),(5,6)],7) => 2
([(3,6),(4,6),(6,5)],7) => 4
([(2,6),(3,6),(6,4),(6,5)],7) => 3
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 12
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 6
([(3,6),(4,6),(5,6)],7) => 3
([(2,6),(3,6),(4,6),(6,5)],7) => 5
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 12
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 5
([(2,6),(3,6),(4,6),(5,6)],7) => 2
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 6
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 4
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 4
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
([(1,6),(2,6),(3,6),(4,5)],7) => 3
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 7
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 6
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 9
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 10
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 6
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 6
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 20
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 6
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 6
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 3
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 8
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 9
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 9
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 6
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 2
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 2
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 12
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 9
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 6
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 10
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 20
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 6
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 6
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 20
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
([(2,6),(3,6),(4,5)],7) => 2
([(2,6),(3,5),(4,5),(4,6)],7) => 2
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 4
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 6
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 10
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 8
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 5
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 5
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 5
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 6
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 4
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 5
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 4
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 2
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 4
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 20
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 10
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 8
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 8
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 12
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 4
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 2
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 2
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 2
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 2
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 4
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 2
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 8
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 2
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 2
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2
([(2,6),(3,6),(4,5),(6,4)],7) => 7
([(2,6),(3,5),(4,5),(5,6)],7) => 4
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 13
([(1,6),(2,6),(3,4),(6,5)],7) => 8
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 6
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 4
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 6
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 12
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 6
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 4
([(2,6),(3,6),(4,5),(4,6)],7) => 2
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 2
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 4
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 2
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 9
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 2
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 5
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 4
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 4
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 4
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 2
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 6
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 4
([(1,6),(2,6),(3,4),(3,5)],7) => 3
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 6
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 4
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 6
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 6
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 13
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 4
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 1
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 4
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 6
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 20
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 4
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 2
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 8
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 10
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 1
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 1
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 8
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 9
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 4
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 6
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 2
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 4
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 12
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 4
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 4
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 10
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 13
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 4
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 2
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 8
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 2
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 2
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 2
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 2
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 10
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 8
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 2
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 4
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 6
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 10
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 10
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 12
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 10
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 6
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 2
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 10
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 4
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 11
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 4
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 8
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 9
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 6
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 10
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 6
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 12
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 10
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 8
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 2
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 2
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 10
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 10
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 8
([(2,6),(3,6),(4,5),(5,6)],7) => 2
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 7
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 6
([(1,6),(2,6),(3,4),(4,5)],7) => 2
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 5
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 5
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 8
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 7
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 9
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 5
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 5
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 2
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 4
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 6
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 10
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 11
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 2
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 6
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 4
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 2
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 9
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 8
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 10
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 4
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 2
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 3
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 5
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 6
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 3
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 2
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 6
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 4
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 2
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 8
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 2
([(1,6),(2,6),(3,5),(4,5)],7) => 3
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 2
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 7
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 2
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 4
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 3
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 4
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 11
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 6
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 2
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 8
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 6
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 12
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 10
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 6
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 6
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 6
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 13
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 4
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 6
([(0,6),(1,6),(2,5),(3,4)],7) => 6
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 12
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 20
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 8
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 4
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 4
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 8
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 8
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 2
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 2
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 4
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 2
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 2
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 2
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 8
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 2
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 6
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 4
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 4
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 14
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 6
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 4
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 2
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 12
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 8
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 2
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 4
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 2
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 8
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 4
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 8
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 4
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 13
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 2
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 6
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 2
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 2
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 12
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 12
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 10
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 12
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 8
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 2
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 6
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 12
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 4
([(3,6),(4,5)],7) => 3
([(3,6),(4,5),(4,6)],7) => 1
([(2,6),(3,4),(3,6),(4,5)],7) => 2
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 4
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 6
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 4
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 4
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 2
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 5
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 6
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 11
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 5
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 2
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 8
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 4
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 6
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 6
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 12
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 5
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 5
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 4
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 11
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 10
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 6
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 2
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 3
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 14
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 2
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 4
([(3,5),(3,6),(4,5),(4,6)],7) => 1
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 6
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 3
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 6
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 12
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 5
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 3
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 3
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 2
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 2
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 4
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 2
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 8
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 2
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 6
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 6
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 2
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 2
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 6
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 3
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 2
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 8
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 2
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 12
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 2
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 2
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 2
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 2
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 2
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 2
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 6
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 4
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 2
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 2
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 2
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 6
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 4
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 13
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 6
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 4
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 1
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 10
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 9
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 11
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 8
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 2
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 2
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 2
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 12
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 2
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 8
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 20
([(2,6),(3,4),(3,6),(6,5)],7) => 4
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 4
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 6
([(2,6),(3,4),(3,5)],7) => 2
([(2,6),(3,4),(3,5),(3,6)],7) => 2
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 4
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 4
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 2
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 2
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 2
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 10
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 2
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 2
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 4
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 9
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 6
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 11
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 5
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 14
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 10
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 6
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 2
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 2
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 11
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 2
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 6
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 4
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 2
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 6
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 2
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 4
([(1,6),(2,3),(2,4),(2,5)],7) => 3
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 4
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 2
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 6
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 2
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 2
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 2
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 4
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 1
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 3
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 4
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 2
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 2
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 4
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 2
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 2
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 8
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 4
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 5
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 6
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 1
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 2
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 7
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 12
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 6
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 9
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 2
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 4
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 2
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 2
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 11
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 2
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 2
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 4
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Created: Jun 06, 2016 at 08:36 by Martin Rubey
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Last Updated: Jun 06, 2016 at 09:24 by Martin Rubey