***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St001533 ----------------------------------------------------------------------------- Collection: Posets ----------------------------------------------------------------------------- Description: The largest coefficient of the Poincare polynomial of the poset cone. For a poset $P$ on $\{1,\dots,n\}$, let $\mathcal K_P = \{\vec x\in\mathbb R^n| x_i < x_j \text{ for } i < _P j\}$. Furthermore let $\mathcal L(\mathcal A)$ be the intersection lattice of the braid arrangement $A_{n-1}$ and let $\mathcal L^{int} = \{ X \in \mathcal L(\mathcal A) | X \cap \mathcal K_P \neq \emptyset \}$. Then the Poincare polynomial of the poset cone is $Poin(t) = \sum_{X\in\mathcal L^{int}} |\mu(0, X)| t^{codim X}$. This statistic records its largest coefficient. ----------------------------------------------------------------------------- References: [1] Dorpalen-Barry, G., Kim, J. S., Reiner, V. Whitney Numbers for Poset Cones [[arXiv:1906.00036]] ----------------------------------------------------------------------------- Code: # code by Jang Soo Kim def delete_elements(P,A): "Return the poset obtained from P by deleting the elements in A" elms = [x for x in P.list() if x not in A] rels = [R for R in P.relations() if R[0] not in A and R[1] not in A] return Poset([elms,rels], cover_relations=False) def add_bottom(P): "Return the poset obtained from P by adding the minimum element 0." elms = ["zero_hat"] + P.list() rels = [["zero_hat",x] for x in P.list()] + P.relations() return Poset([elms,rels], cover_relations=False) def Poin(P,t,omega=0): """ Input: P: a poset or a list of numbers [a,b,c,...]. If P = [a,b,c,...], then P is set to be the cell poset of the partition [a,b,c,...]. t: a variable omega: a labeling of P which is given by default to the first lin ext of P. Output: The Poincare polynomial of the poset P. The bijection from linear extensions to P-transverse permutations is used. """ if type(P) == list: P = Partition(P).cell_poset().dual() if omega == 0: omega = P.linear_extensions()[0] poly = 0 for L in P.linear_extensions(): poly += t^(len(P)-len(get_P_transverse_permutation(P,omega,L))) return poly def get_P_transverse_permutation(P,omega,L): """ Input: P: a poset omega: a labeling of P L: a linear extension of P Output: The P-transverse permutation corresponding to L with respect to omega. """ Q = add_bottom(P) pi = [] while len(L)>0: N = next_level(Q,P,omega,L) pi = pi + N[-1] [Q, P, omega, L] = N[:-1] return pi def next_level(Q,P,omega,L): """ INPUT: Q,P,omega,L Q: poset containing P omega: labeling L: a linear extension of P OUTPUT: [Q1, P1, omega, L1, pi] Q1 = P P1 = P - minimal blocks omega = omega L1 = L restricted to P1 pi = P-transverse permutation of the minimal blocks in P. """ L1 = L pi = [] C = [] # the list of current level elements in P D = [] # the list of current level elements in P that are not minimal in Q B = [] for x in L: if x not in P.minimal_elements(): # If x is not a minimal element in P this level is done. break C.append(x) if x not in Q.minimal_elements(): D.append(x) if omega.index(x) == min([omega.index(d) for d in D]): if len(B)>0: pi.append(B) B = [x] else: B.append(x) pi.append(B) Q1 = P P1 = delete_elements(P,C) L1 = L[len(C):] return [Q1, P1, omega, L1, pi] statistic = lambda P: max(Poin(P, QQ["q"].gen()).list()) ----------------------------------------------------------------------------- Statistic values: ([],1) => 1 ([],2) => 1 ([(0,1)],2) => 1 ([],3) => 3 ([(1,2)],3) => 2 ([(0,1),(0,2)],3) => 1 ([(0,2),(2,1)],3) => 1 ([(0,2),(1,2)],3) => 1 ([],4) => 11 ([(2,3)],4) => 6 ([(1,2),(1,3)],4) => 4 ([(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) => 1 ([(1,2),(2,3)],4) => 3 ([(0,3),(3,1),(3,2)],4) => 1 ([(1,3),(2,3)],4) => 4 ([(0,3),(1,3),(3,2)],4) => 1 ([(0,3),(1,3),(2,3)],4) => 3 ([(0,3),(1,2)],4) => 4 ([(0,3),(1,2),(1,3)],4) => 3 ([(0,2),(0,3),(1,2),(1,3)],4) => 2 ([(0,3),(2,1),(3,2)],4) => 1 ([(0,3),(1,2),(2,3)],4) => 2 ([],5) => 50 ([(3,4)],5) => 26 ([(2,3),(2,4)],5) => 19 ([(1,2),(1,3),(1,4)],5) => 14 ([(0,1),(0,2),(0,3),(0,4)],5) => 11 ([(0,2),(0,3),(0,4),(4,1)],5) => 6 ([(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) => 3 ([(1,3),(1,4),(4,2)],5) => 8 ([(0,3),(0,4),(4,1),(4,2)],5) => 4 ([(1,2),(1,3),(2,4),(3,4)],5) => 5 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 1 ([(0,3),(0,4),(3,2),(4,1)],5) => 4 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 3 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 2 ([(2,3),(3,4)],5) => 12 ([(1,4),(4,2),(4,3)],5) => 5 ([(0,4),(4,1),(4,2),(4,3)],5) => 3 ([(2,4),(3,4)],5) => 19 ([(1,4),(2,4),(4,3)],5) => 5 ([(0,4),(1,4),(4,2),(4,3)],5) => 2 ([(1,4),(2,4),(3,4)],5) => 14 ([(0,4),(1,4),(2,4),(4,3)],5) => 3 ([(0,4),(1,4),(2,4),(3,4)],5) => 11 ([(0,4),(1,4),(2,3)],5) => 10 ([(0,4),(1,3),(2,3),(2,4)],5) => 7 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 6 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 5 ([(0,4),(1,4),(2,3),(4,2)],5) => 1 ([(0,4),(1,3),(2,3),(3,4)],5) => 4 ([(0,4),(1,4),(2,3),(2,4)],5) => 9 ([(0,4),(1,4),(2,3),(3,4)],5) => 6 ([(1,4),(2,3)],5) => 17 ([(1,4),(2,3),(2,4)],5) => 13 ([(0,4),(1,2),(1,4),(2,3)],5) => 5 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 3 ([(1,3),(1,4),(2,3),(2,4)],5) => 9 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 3 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 2 ([(0,4),(1,2),(1,4),(4,3)],5) => 4 ([(0,4),(1,2),(1,3)],5) => 10 ([(0,4),(1,2),(1,3),(1,4)],5) => 9 ([(0,2),(0,4),(3,1),(4,3)],5) => 3 ([(0,4),(1,2),(1,3),(3,4)],5) => 5 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 2 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4 ([(0,3),(0,4),(1,2),(1,4)],5) => 7 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 6 ([(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) => 4 ([(0,3),(1,2),(1,4),(3,4)],5) => 5 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 3 ([(1,4),(3,2),(4,3)],5) => 4 ([(0,3),(3,4),(4,1),(4,2)],5) => 1 ([(1,4),(2,3),(3,4)],5) => 8 ([(0,4),(1,2),(2,4),(4,3)],5) => 2 ([(0,3),(1,4),(4,2)],5) => 6 ([(0,4),(3,2),(4,1),(4,3)],5) => 2 ([(0,4),(1,2),(2,3),(2,4)],5) => 4 ([(0,4),(2,3),(3,1),(4,2)],5) => 1 ([(0,3),(1,2),(2,4),(3,4)],5) => 4 ([(0,4),(1,2),(2,3),(3,4)],5) => 3 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 1 ([],6) => 274 ([(4,5)],6) => 154 ([(3,4),(3,5)],6) => 107 ([(2,3),(2,4),(2,5)],6) => 78 ([(1,2),(1,3),(1,4),(1,5)],6) => 61 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 50 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 26 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 19 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 14 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 11 ([(1,3),(1,4),(1,5),(5,2)],6) => 31 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 19 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 23 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 17 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 3 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 10 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 7 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 6 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 5 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 9 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 4 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 5 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 17 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 13 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 9 ([(2,3),(2,4),(4,5)],6) => 40 ([(1,4),(1,5),(5,2),(5,3)],6) => 23 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 14 ([(2,3),(2,4),(3,5),(4,5)],6) => 29 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 6 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 2 ([(1,4),(1,5),(4,3),(5,2)],6) => 21 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 16 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 11 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 3 ([(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) => 4 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 10 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 9 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 7 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 6 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 5 ([(3,4),(4,5)],6) => 60 ([(2,3),(3,4),(3,5)],6) => 29 ([(1,5),(5,2),(5,3),(5,4)],6) => 17 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 11 ([(2,3),(3,5),(5,4)],6) => 20 ([(1,4),(4,5),(5,2),(5,3)],6) => 6 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 3 ([(3,5),(4,5)],6) => 107 ([(2,5),(3,5),(5,4)],6) => 29 ([(1,5),(2,5),(5,3),(5,4)],6) => 11 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 5 ([(2,5),(3,5),(4,5)],6) => 78 ([(1,5),(2,5),(3,5),(5,4)],6) => 17 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 5 ([(1,5),(2,5),(3,5),(4,5)],6) => 61 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 11 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 50 ([(0,5),(1,5),(2,5),(3,4)],6) => 37 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 3 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 14 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 35 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 26 ([(1,5),(2,5),(3,4)],6) => 52 ([(1,5),(2,4),(3,4),(3,5)],6) => 37 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 12 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 7 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 32 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 11 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 6 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 27 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 8 ([(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) => 9 ([(1,5),(2,5),(3,4),(5,3)],6) => 6 ([(1,5),(2,4),(3,4),(4,5)],6) => 23 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 4 ([(0,5),(1,5),(2,3),(5,4)],6) => 15 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 3 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 8 ([(1,5),(2,5),(3,4),(3,5)],6) => 47 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 12 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 20 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 9 ([(0,5),(1,5),(2,3),(2,4)],6) => 33 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 2 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 14 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 7 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 31 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 11 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 5 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 4 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 24 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 8 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 4 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 19 ([(1,5),(2,5),(3,4),(4,5)],6) => 31 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 6 ([(0,5),(1,5),(2,3),(3,4)],6) => 21 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 10 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 7 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 4 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 17 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 12 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 5 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 3 ([(0,5),(1,5),(2,4),(3,4)],6) => 33 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 28 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 25 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 23 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 20 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 17 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 5 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 19 ([(2,5),(3,4)],6) => 89 ([(2,5),(3,4),(3,5)],6) => 69 ([(1,5),(2,3),(2,5),(3,4)],6) => 28 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 14 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 6 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 4 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 16 ([(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) => 7 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 5 ([(2,4),(2,5),(3,4),(3,5)],6) => 49 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 17 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 7 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 11 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 5 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 4 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 3 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 25 ([(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) => 2 ([(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) => 13 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 9 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 21 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 19 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 14 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 11 ([(1,5),(2,3),(2,5),(5,4)],6) => 22 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 8 ([(1,5),(2,3),(2,4)],6) => 52 ([(1,5),(2,3),(2,4),(2,5)],6) => 47 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 22 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 12 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 14 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 9 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 17 ([(0,5),(1,2),(1,3),(1,4)],6) => 37 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 35 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 12 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 24 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 8 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 18 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 6 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 14 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 20 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 11 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 8 ([(1,3),(1,5),(4,2),(5,4)],6) => 15 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 5 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 6 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 5 ([(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) => 5 ([(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) => 30 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 7 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 10 ([(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) => 23 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 4 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 14 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 10 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 8 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 5 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 5 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 12 ([(0,4),(1,3),(1,5),(5,2)],6) => 24 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 8 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 17 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 14 ([(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) => 15 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 10 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 1 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 5 ([(1,4),(1,5),(2,3),(2,5)],6) => 37 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 32 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 13 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 8 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 27 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 11 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 7 ([(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),(1,5),(2,3)],6) => 15 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 9 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 6 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 15 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 23 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 7 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 5 ([(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) => 17 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 10 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 11 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 6 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 11 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 7 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 6 ([(0,4),(0,5),(1,2),(1,3)],6) => 33 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 28 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 25 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 18 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 13 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 23 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 20 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 17 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 14 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 16 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 10 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 20 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 13 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 3 ([(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) => 14 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 11 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 9 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 7 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 9 ([(1,4),(2,3),(2,5),(4,5)],6) => 28 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 6 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 17 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 4 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 3 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 9 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 5 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 7 ([(0,5),(1,3),(1,4),(5,2)],6) => 21 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 4 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 4 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 12 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 9 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 5 ([(2,5),(3,4),(4,5)],6) => 40 ([(1,5),(2,3),(3,5),(5,4)],6) => 10 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 3 ([(1,3),(2,4),(4,5)],6) => 33 ([(1,5),(4,3),(5,2),(5,4)],6) => 10 ([(1,5),(2,3),(3,4),(3,5)],6) => 22 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 5 ([(0,4),(1,5),(5,2),(5,3)],6) => 15 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 6 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 12 ([(1,5),(3,4),(4,2),(5,3)],6) => 5 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 1 ([(1,4),(2,3),(3,5),(4,5)],6) => 21 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 4 ([(0,5),(1,4),(4,2),(5,3)],6) => 9 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 3 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 7 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 5 ([(1,5),(2,3),(3,4),(4,5)],6) => 15 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 6 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 1 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 3 ([(0,5),(1,4),(2,3)],6) => 43 ([(0,5),(1,3),(2,4),(2,5)],6) => 34 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 29 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 7 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 5 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 20 ([(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) => 13 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 5 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 17 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 26 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 21 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 19 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 19 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 17 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 15 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 13 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 11 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 18 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 29 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 16 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 17 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 13 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 7 ([(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) => 2 ([(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) => 22 ([(0,5),(1,3),(4,2),(5,4)],6) => 8 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 4 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 6 ([(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) => 2 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 5 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1 ([(0,5),(1,3),(2,4),(4,5)],6) => 24 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 15 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 8 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 4 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 1 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 6 ([(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) => 17 ([],7) => 1764 ([(5,6)],7) => 1044 ([(4,5),(4,6)],7) => 702 ([(3,4),(3,5),(3,6)],7) => 508 ([(2,3),(2,4),(2,5),(2,6)],7) => 396 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 324 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 274 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 154 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 107 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 78 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 61 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 50 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 180 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 107 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 126 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 92 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 72 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 11 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 37 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 35 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 14 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 17 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 52 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 37 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 32 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 27 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 47 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 33 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 28 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 25 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 23 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 20 ([(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) => 17 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 19 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 23 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 29 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 89 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 69 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 49 ([(2,4),(2,5),(2,6),(6,3)],7) => 216 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 126 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 78 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 153 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 112 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 20 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 5 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 62 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 44 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 38 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 32 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 8 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 5 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 11 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 6 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 9 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 12 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 7 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 56 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 12 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 33 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 31 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 14 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 7 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 27 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 4 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 15 ([(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) => 34 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 11 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 106 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 82 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 58 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 25 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 21 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 10 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 13 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 9 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 17 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 11 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 22 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 52 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 47 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 37 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 32 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 27 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 43 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 34 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 29 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 26 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 21 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 17 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 15 ([(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) => 13 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 24 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 11 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 29 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 17 ([(3,4),(3,5),(5,6)],7) => 268 ([(2,5),(2,6),(6,3),(6,4)],7) => 153 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 92 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 61 ([(3,4),(3,5),(4,6),(5,6)],7) => 194 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 41 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 13 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 5 ([(2,5),(2,6),(5,4),(6,3)],7) => 131 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 101 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 71 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 20 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 7 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 13 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 2 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 5 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 4 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 3 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 26 ([(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) => 62 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 56 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 17 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 37 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 35 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 44 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 38 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 32 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 11 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 7 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 5 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 13 ([(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) => 15 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 33 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 28 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 25 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 23 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 20 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 17 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 60 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 12 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 3 ([(4,5),(5,6)],7) => 360 ([(3,4),(4,5),(4,6)],7) => 194 ([(2,6),(6,3),(6,4),(6,5)],7) => 112 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 72 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 50 ([(3,4),(4,6),(6,5)],7) => 120 ([(2,5),(5,6),(6,3),(6,4)],7) => 41 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 20 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 11 ([(4,6),(5,6)],7) => 702 ([(3,6),(4,6),(6,5)],7) => 194 ([(2,6),(3,6),(6,4),(6,5)],7) => 71 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 32 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 17 ([(3,6),(4,6),(5,6)],7) => 508 ([(2,6),(3,6),(4,6),(6,5)],7) => 112 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 32 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 13 ([(2,6),(3,6),(4,6),(5,6)],7) => 396 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 72 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 17 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 324 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 50 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 274 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 200 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 11 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 61 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 189 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 154 ([(1,6),(2,6),(3,6),(4,5)],7) => 247 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 20 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 92 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 53 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 8 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 24 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 227 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 46 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 97 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 35 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 176 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 5 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 51 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 22 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 171 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 133 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 107 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 180 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 26 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 99 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 3 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 14 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 37 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 86 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 20 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 6 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 3 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 60 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 170 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 141 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 124 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 113 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 107 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 96 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 85 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 17 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 5 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 78 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 153 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 142 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 29 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 11 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 5 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 107 ([(2,6),(3,6),(4,5)],7) => 322 ([(2,6),(3,5),(4,5),(4,6)],7) => 259 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 77 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 29 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 44 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 7 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 23 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 18 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 13 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 218 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 71 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 27 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 16 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 11 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 38 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 19 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 14 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 177 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 52 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 17 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 32 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 9 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 100 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 11 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 41 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 8 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 89 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 33 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 84 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 61 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 63 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 50 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 58 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 19 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 121 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 17 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 6 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 11 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 54 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 9 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 32 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 12 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 46 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 104 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 35 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 99 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 73 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 109 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 45 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 67 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 69 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 56 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 78 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 142 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 117 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 18 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 59 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 12 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 37 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 124 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 92 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 82 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 77 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 87 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 47 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 114 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 79 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 84 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 62 ([(2,6),(3,6),(4,5),(6,4)],7) => 41 ([(2,6),(3,5),(4,5),(5,6)],7) => 153 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 27 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 7 ([(1,6),(2,6),(3,4),(6,5)],7) => 95 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 20 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 51 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 12 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 33 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 11 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 23 ([(2,6),(3,6),(4,5),(4,6)],7) => 292 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 76 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 23 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 128 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 56 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 29 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 18 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 59 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 26 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 15 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 35 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 9 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 20 ([(1,6),(2,6),(3,4),(3,5)],7) => 229 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 13 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 89 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 45 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 11 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 18 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 60 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 7 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 29 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 19 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 216 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 54 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 96 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 39 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 57 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 31 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 176 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 5 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 59 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 27 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 17 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 171 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 52 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 29 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 21 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 126 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 38 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 23 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 17 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 97 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 31 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 19 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 78 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 162 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 29 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 126 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 19 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 98 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 3 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 32 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 21 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 14 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 7 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 41 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 36 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 23 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 81 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 30 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 11 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 27 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 14 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 13 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 22 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 14 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 11 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 7 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 15 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 5 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 14 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 9 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 25 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 16 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 65 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 24 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 29 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 18 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 59 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 40 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 23 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 14 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 58 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 2 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 33 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 45 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 39 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 29 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 52 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 28 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 17 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 21 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 10 ([(2,6),(3,6),(4,5),(5,6)],7) => 216 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 36 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 11 ([(1,6),(2,6),(3,4),(4,5)],7) => 134 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 7 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 62 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 10 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 33 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 4 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 22 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 108 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 22 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 32 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 17 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 60 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 2 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 28 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 29 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 19 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 54 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 36 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 22 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 14 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 29 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 17 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 11 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 24 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 4 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 7 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 1 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 72 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 12 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 36 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 21 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 9 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 4 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 27 ([(1,6),(2,6),(3,5),(4,5)],7) => 227 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 193 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 52 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 28 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 173 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 50 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 25 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 34 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 159 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 37 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 23 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 139 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 35 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 20 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 30 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 119 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 28 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 17 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 41 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 34 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 13 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 5 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 2 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 126 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 19 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 56 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 16 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 7 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 39 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 33 ([(0,6),(1,6),(2,5),(3,4)],7) => 189 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 21 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 5 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 14 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 74 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 37 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 4 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 23 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 168 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 15 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 61 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 89 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 12 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 47 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 153 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 77 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 131 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 39 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 126 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 95 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 115 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 79 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 66 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 151 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 109 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 99 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 89 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 17 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 56 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 10 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 51 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 34 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 20 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 4 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 13 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 71 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 141 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 101 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 22 ([(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) => 69 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 113 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 91 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 81 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 72 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 67 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 44 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 79 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 42 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 75 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 70 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 65 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 66 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 61 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 56 ([(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) => 51 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 51 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 16 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 9 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 3 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 48 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 31 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 104 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 99 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 22 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 9 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 11 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 4 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 3 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 68 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 17 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 7 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 49 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 27 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 10 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 88 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 121 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 6 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 31 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 89 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 94 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 6 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 15 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 3 ([(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) => 52 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 72 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 10 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 3 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 40 ([(3,6),(4,5)],7) => 554 ([(3,6),(4,5),(4,6)],7) => 434 ([(2,6),(3,4),(3,6),(4,5)],7) => 183 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 89 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 51 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 26 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 16 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 12 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 42 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 28 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 9 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 28 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 18 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 14 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 101 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 19 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 4 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 49 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 35 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 22 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 18 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 48 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 33 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 5 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 15 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 8 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 12 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 20 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 11 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 8 ([(3,5),(3,6),(4,5),(4,6)],7) => 314 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 112 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 45 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 22 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 71 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 13 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 35 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 28 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 21 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 17 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 11 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 9 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 170 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 143 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 45 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 29 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 27 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 21 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 130 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 43 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 27 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 19 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 24 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 34 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 40 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 9 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 8 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 7 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 8 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 85 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 20 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 58 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 9 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 27 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 23 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 17 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 13 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 51 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 10 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 31 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 33 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 21 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 17 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 143 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 38 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 65 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 18 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 14 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 42 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 26 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 23 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 15 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 130 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 36 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 23 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 50 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 25 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 19 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 92 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 23 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 19 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 52 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 27 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 28 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 21 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 39 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 113 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 9 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 5 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 47 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 27 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 31 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 23 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 19 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 104 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 41 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 22 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 99 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 68 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 49 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 22 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 11 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 70 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 26 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 53 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 14 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 7 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 17 ([(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) => 50 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 43 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 37 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 31 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 98 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 20 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 27 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 15 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 72 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 11 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 56 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 2 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 32 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 25 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 17 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 9 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 40 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 22 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 34 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 24 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 28 ([(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) => 6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 19 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 9 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 5 ([(2,6),(3,4),(3,6),(6,5)],7) => 142 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 51 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 24 ([(2,6),(3,4),(3,5)],7) => 322 ([(2,6),(3,4),(3,5),(3,6)],7) => 292 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 142 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 71 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 35 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 23 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 75 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 15 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 41 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 29 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 89 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 56 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 9 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 28 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 23 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 20 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 14 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 51 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 41 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 23 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 18 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 28 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 31 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 20 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 15 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 31 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 21 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 108 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 39 ([(1,6),(2,3),(2,4),(2,5)],7) => 247 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 227 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 115 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 59 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 71 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 44 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 51 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 35 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 86 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 200 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 189 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 60 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 133 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 40 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 97 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 31 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 75 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 26 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 61 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 97 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 50 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 35 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 28 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 72 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 29 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 162 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 36 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 48 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 10 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 119 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 22 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 36 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 6 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 92 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 14 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 47 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 18 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 24 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 44 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 69 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 29 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 30 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 60 ----------------------------------------------------------------------------- Created: May 03, 2020 at 17:53 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: May 03, 2020 at 17:53 by Martin Rubey