***************************************************************************** * 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: St001813 ----------------------------------------------------------------------------- Collection: Posets ----------------------------------------------------------------------------- Description: The product of the sizes of the principal order filters in a poset. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(P): return prod(len(P.principal_order_filter(x)) for x in P) ----------------------------------------------------------------------------- Statistic values: ([],1) => 1 ([],2) => 1 ([(0,1)],2) => 2 ([],3) => 1 ([(1,2)],3) => 2 ([(0,1),(0,2)],3) => 3 ([(0,2),(2,1)],3) => 6 ([(0,2),(1,2)],3) => 4 ([],4) => 1 ([(2,3)],4) => 2 ([(1,2),(1,3)],4) => 3 ([(0,1),(0,2),(0,3)],4) => 4 ([(0,2),(0,3),(3,1)],4) => 8 ([(0,1),(0,2),(1,3),(2,3)],4) => 16 ([(1,2),(2,3)],4) => 6 ([(0,3),(3,1),(3,2)],4) => 12 ([(1,3),(2,3)],4) => 4 ([(0,3),(1,3),(3,2)],4) => 18 ([(0,3),(1,3),(2,3)],4) => 8 ([(0,3),(1,2)],4) => 4 ([(0,3),(1,2),(1,3)],4) => 6 ([(0,2),(0,3),(1,2),(1,3)],4) => 9 ([(0,3),(2,1),(3,2)],4) => 24 ([(0,3),(1,2),(2,3)],4) => 12 ([],5) => 1 ([(3,4)],5) => 2 ([(2,3),(2,4)],5) => 3 ([(1,2),(1,3),(1,4)],5) => 4 ([(0,1),(0,2),(0,3),(0,4)],5) => 5 ([(0,2),(0,3),(0,4),(4,1)],5) => 10 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 20 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 40 ([(1,3),(1,4),(4,2)],5) => 8 ([(0,3),(0,4),(4,1),(4,2)],5) => 15 ([(1,2),(1,3),(2,4),(3,4)],5) => 16 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 90 ([(0,3),(0,4),(3,2),(4,1)],5) => 20 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 30 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 45 ([(2,3),(3,4)],5) => 6 ([(1,4),(4,2),(4,3)],5) => 12 ([(0,4),(4,1),(4,2),(4,3)],5) => 20 ([(2,4),(3,4)],5) => 4 ([(1,4),(2,4),(4,3)],5) => 18 ([(0,4),(1,4),(4,2),(4,3)],5) => 48 ([(1,4),(2,4),(3,4)],5) => 8 ([(0,4),(1,4),(2,4),(4,3)],5) => 54 ([(0,4),(1,4),(2,4),(3,4)],5) => 16 ([(0,4),(1,4),(2,3)],5) => 8 ([(0,4),(1,3),(2,3),(2,4)],5) => 12 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 18 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 27 ([(0,4),(1,4),(2,3),(4,2)],5) => 96 ([(0,4),(1,3),(2,3),(3,4)],5) => 36 ([(0,4),(1,4),(2,3),(2,4)],5) => 12 ([(0,4),(1,4),(2,3),(3,4)],5) => 24 ([(1,4),(2,3)],5) => 4 ([(1,4),(2,3),(2,4)],5) => 6 ([(0,4),(1,2),(1,4),(2,3)],5) => 16 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 48 ([(1,3),(1,4),(2,3),(2,4)],5) => 9 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 32 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 64 ([(0,4),(1,2),(1,4),(4,3)],5) => 24 ([(0,4),(1,2),(1,3)],5) => 6 ([(0,4),(1,2),(1,3),(1,4)],5) => 8 ([(0,2),(0,4),(3,1),(4,3)],5) => 30 ([(0,4),(1,2),(1,3),(3,4)],5) => 16 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 60 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 32 ([(0,3),(0,4),(1,2),(1,4)],5) => 9 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 16 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 24 ([(0,3),(1,2),(1,4),(3,4)],5) => 18 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 36 ([(1,4),(3,2),(4,3)],5) => 24 ([(0,3),(3,4),(4,1),(4,2)],5) => 60 ([(1,4),(2,3),(3,4)],5) => 12 ([(0,4),(1,2),(2,4),(4,3)],5) => 72 ([(0,3),(1,4),(4,2)],5) => 12 ([(0,4),(3,2),(4,1),(4,3)],5) => 40 ([(0,4),(1,2),(2,3),(2,4)],5) => 24 ([(0,4),(2,3),(3,1),(4,2)],5) => 120 ([(0,3),(1,2),(2,4),(3,4)],5) => 36 ([(0,4),(1,2),(2,3),(3,4)],5) => 48 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 80 ([],6) => 1 ([(4,5)],6) => 2 ([(3,4),(3,5)],6) => 3 ([(2,3),(2,4),(2,5)],6) => 4 ([(1,2),(1,3),(1,4),(1,5)],6) => 5 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 6 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 12 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 24 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 48 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 96 ([(1,3),(1,4),(1,5),(5,2)],6) => 10 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 18 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 20 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 40 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 324 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 48 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 72 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 108 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 162 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 72 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 216 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 108 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 24 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 36 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 54 ([(2,3),(2,4),(4,5)],6) => 8 ([(1,4),(1,5),(5,2),(5,3)],6) => 15 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 24 ([(2,3),(2,4),(3,5),(4,5)],6) => 16 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 90 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 288 ([(1,4),(1,5),(4,3),(5,2)],6) => 20 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 30 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 45 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 192 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 384 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 144 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 36 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 48 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 54 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 72 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 96 ([(3,4),(4,5)],6) => 6 ([(2,3),(3,4),(3,5)],6) => 12 ([(1,5),(5,2),(5,3),(5,4)],6) => 20 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 30 ([(2,3),(3,5),(5,4)],6) => 24 ([(1,4),(4,5),(5,2),(5,3)],6) => 60 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 120 ([(3,5),(4,5)],6) => 4 ([(2,5),(3,5),(5,4)],6) => 18 ([(1,5),(2,5),(5,3),(5,4)],6) => 48 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 100 ([(2,5),(3,5),(4,5)],6) => 8 ([(1,5),(2,5),(3,5),(5,4)],6) => 54 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 192 ([(1,5),(2,5),(3,5),(4,5)],6) => 16 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 162 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 32 ([(0,5),(1,5),(2,5),(3,4)],6) => 16 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 384 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 108 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 24 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 48 ([(1,5),(2,5),(3,4)],6) => 8 ([(1,5),(2,4),(3,4),(3,5)],6) => 12 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 48 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 144 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 18 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 64 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 192 ([(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) => 128 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 256 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 96 ([(1,5),(2,5),(3,4),(5,3)],6) => 96 ([(1,5),(2,4),(3,4),(4,5)],6) => 36 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 288 ([(0,5),(1,5),(2,3),(5,4)],6) => 36 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 200 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 96 ([(1,5),(2,5),(3,4),(3,5)],6) => 12 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 72 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 32 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 144 ([(0,5),(1,5),(2,3),(2,4)],6) => 12 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 300 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 54 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 144 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 16 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 60 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 96 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 216 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 32 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 120 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 192 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 64 ([(1,5),(2,5),(3,4),(4,5)],6) => 24 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 216 ([(0,5),(1,5),(2,3),(3,4)],6) => 24 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 600 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 108 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 80 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 120 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 48 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 96 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 160 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 240 ([(0,5),(1,5),(2,4),(3,4)],6) => 16 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 24 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 36 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 36 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 54 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 81 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 192 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 400 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 72 ([(2,5),(3,4)],6) => 4 ([(2,5),(3,4),(3,5)],6) => 6 ([(1,5),(2,3),(2,5),(3,4)],6) => 16 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 30 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 90 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 180 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 48 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 360 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 60 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 120 ([(2,4),(2,5),(3,4),(3,5)],6) => 9 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 32 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 75 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 64 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 100 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 150 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 225 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 18 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 150 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 450 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 300 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 64 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 128 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 27 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 96 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 72 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 54 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 108 ([(1,5),(2,3),(2,5),(5,4)],6) => 24 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 60 ([(1,5),(2,3),(2,4)],6) => 6 ([(1,5),(2,3),(2,4),(2,5)],6) => 8 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 20 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 60 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 40 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 120 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 30 ([(0,5),(1,2),(1,3),(1,4)],6) => 8 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 10 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 36 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 20 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 72 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 40 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 144 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 80 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 24 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 48 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 80 ([(1,3),(1,5),(4,2),(5,4)],6) => 30 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 72 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 72 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 96 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 288 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 108 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 144 ([(1,5),(2,3),(2,4),(4,5)],6) => 16 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 90 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 60 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 432 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 32 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 270 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 40 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 60 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 90 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 180 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 96 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 60 ([(0,4),(1,3),(1,5),(5,2)],6) => 16 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 48 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 30 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 48 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 288 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 32 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 96 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 576 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 180 ([(1,4),(1,5),(2,3),(2,5)],6) => 9 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 40 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 80 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 16 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 50 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 100 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 200 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 30 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 80 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 160 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 32 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 24 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 80 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 120 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 240 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 24 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 64 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 45 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 120 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 64 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 128 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 90 ([(0,4),(0,5),(1,2),(1,3)],6) => 9 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 12 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 15 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 30 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 60 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 16 ([(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) => 25 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 40 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 32 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 60 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 24 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 45 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 216 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 144 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 48 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 60 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 90 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 135 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 64 ([(1,4),(2,3),(2,5),(4,5)],6) => 18 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 96 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 36 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 160 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 320 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 48 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 192 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 96 ([(0,5),(1,3),(1,4),(5,2)],6) => 18 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 144 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 90 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 36 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 60 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 120 ([(2,5),(3,4),(4,5)],6) => 12 ([(1,5),(2,3),(3,5),(5,4)],6) => 72 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 240 ([(1,3),(2,4),(4,5)],6) => 12 ([(1,5),(4,3),(5,2),(5,4)],6) => 40 ([(1,5),(2,3),(3,4),(3,5)],6) => 24 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 120 ([(0,4),(1,5),(5,2),(5,3)],6) => 24 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 60 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 40 ([(1,5),(3,4),(4,2),(5,3)],6) => 120 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 360 ([(1,4),(2,3),(3,5),(4,5)],6) => 36 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 288 ([(0,5),(1,4),(4,2),(5,3)],6) => 36 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 180 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 72 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 144 ([(1,5),(2,3),(3,4),(4,5)],6) => 48 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 80 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 540 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 360 ([(0,5),(1,4),(2,3)],6) => 8 ([(0,5),(1,3),(2,4),(2,5)],6) => 12 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 16 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 60 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 180 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 32 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 240 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 96 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 120 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 48 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 18 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 24 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 32 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 27 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 36 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 48 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 64 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 72 ([(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) => 48 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 18 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 48 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 36 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 72 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 72 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 180 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 270 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 180 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 36 ([(0,5),(1,3),(4,2),(5,4)],6) => 48 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 120 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 80 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 240 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 240 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 120 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 720 ([(0,5),(1,3),(2,4),(4,5)],6) => 24 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 48 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 480 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 144 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 240 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 480 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 144 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 360 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 72 ([],7) => 1 ([(5,6)],7) => 2 ([(4,5),(4,6)],7) => 3 ([(3,4),(3,5),(3,6)],7) => 4 ([(2,3),(2,4),(2,5),(2,6)],7) => 5 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 7 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 14 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 28 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 56 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 112 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 224 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 12 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 21 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 24 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 48 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 96 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 1134 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 112 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 168 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 756 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 378 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 56 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 84 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 126 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 189 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 84 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 112 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 168 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 252 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 252 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 378 ([(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) => 567 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 504 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 252 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 126 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 28 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 42 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 63 ([(2,4),(2,5),(2,6),(6,3)],7) => 10 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 18 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 28 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 20 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 40 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 324 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 1344 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 48 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 72 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 108 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 162 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 896 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1792 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 448 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1344 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 672 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 336 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 1008 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 72 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 504 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 84 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 112 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 378 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 1008 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 216 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 2016 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 252 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 672 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 108 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 336 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 24 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 36 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 54 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 126 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 189 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 252 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 672 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 448 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 896 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 224 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 448 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 168 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 42 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 56 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 63 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 84 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 112 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 56 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 84 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 112 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 126 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 168 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 224 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 189 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 252 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 336 ([(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) => 448 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 168 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 504 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 126 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 336 ([(3,4),(3,5),(5,6)],7) => 8 ([(2,5),(2,6),(6,3),(6,4)],7) => 15 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 24 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 35 ([(3,4),(3,5),(4,6),(5,6)],7) => 16 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 90 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 288 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 700 ([(2,5),(2,6),(5,4),(6,3)],7) => 20 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 30 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 45 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 192 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 525 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 384 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 3150 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 700 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 1050 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1575 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 144 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 420 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 36 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 48 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 210 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 56 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 70 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 54 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 72 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 96 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 350 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 700 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 1400 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 280 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 560 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 224 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 63 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 84 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 105 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 112 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 140 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 175 ([(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) => 432 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 1680 ([(4,5),(5,6)],7) => 6 ([(3,4),(4,5),(4,6)],7) => 12 ([(2,6),(6,3),(6,4),(6,5)],7) => 20 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 30 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 42 ([(3,4),(4,6),(6,5)],7) => 24 ([(2,5),(5,6),(6,3),(6,4)],7) => 60 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 120 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 210 ([(4,6),(5,6)],7) => 4 ([(3,6),(4,6),(6,5)],7) => 18 ([(2,6),(3,6),(6,4),(6,5)],7) => 48 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 100 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 180 ([(3,6),(4,6),(5,6)],7) => 8 ([(2,6),(3,6),(4,6),(6,5)],7) => 54 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 192 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 500 ([(2,6),(3,6),(4,6),(5,6)],7) => 16 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 162 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 768 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 32 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 486 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 64 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 32 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1536 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 324 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 48 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 96 ([(1,6),(2,6),(3,6),(4,5)],7) => 16 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 384 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 108 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 108 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 1000 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 384 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 24 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 216 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 64 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 432 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 24 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 1500 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 162 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 576 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 32 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 64 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 128 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 48 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 648 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 48 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 3000 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 1152 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 324 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 96 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 480 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 960 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 1680 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 192 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 32 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 48 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 72 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 108 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 108 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 162 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 243 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 768 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 2000 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 216 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 48 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 72 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 384 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 800 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 1440 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 144 ([(2,6),(3,6),(4,5)],7) => 8 ([(2,6),(3,5),(4,5),(4,6)],7) => 12 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 48 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 120 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 144 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1440 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 180 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 360 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 720 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 18 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 64 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 150 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 450 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 900 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 192 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 300 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 600 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 27 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 128 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 375 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 256 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 500 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 750 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 1125 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 54 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 750 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 2250 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 256 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 1500 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 512 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 81 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 384 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 108 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 216 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 162 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 324 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 96 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 300 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 36 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 300 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 1800 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 900 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 128 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 1200 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 384 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 600 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 192 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 54 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 288 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 72 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 144 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 54 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 192 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 144 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 108 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 216 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 108 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 24 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 32 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 240 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 96 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 720 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 288 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 36 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 54 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 72 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 96 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 72 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 144 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 48 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 96 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 72 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 144 ([(2,6),(3,6),(4,5),(6,4)],7) => 96 ([(2,6),(3,5),(4,5),(5,6)],7) => 36 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 288 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 1200 ([(1,6),(2,6),(3,4),(6,5)],7) => 36 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 200 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 96 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 600 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 96 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 360 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 200 ([(2,6),(3,6),(4,5),(4,6)],7) => 12 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 72 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 240 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 32 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 144 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 180 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 480 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 60 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 270 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 720 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 120 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 1440 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 540 ([(1,6),(2,6),(3,4),(3,5)],7) => 12 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 300 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 54 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 144 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 800 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 384 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 54 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 540 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 144 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 300 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 16 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 90 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 40 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 180 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 80 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 360 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 16 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 720 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 72 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 192 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 400 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 20 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 72 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 112 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 252 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 40 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 144 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 224 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 504 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 80 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 288 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 448 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 160 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 32 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 270 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 64 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 810 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 32 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 1440 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 144 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 384 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 768 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 1600 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 144 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 96 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 140 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 60 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 144 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 864 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 216 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 336 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 420 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 288 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 336 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 448 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 896 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 224 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 1260 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 280 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 840 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 192 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 576 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 1680 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 80 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 540 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 192 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 280 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 120 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 240 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 384 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 560 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 64 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 2880 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 288 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 120 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 180 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 1152 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 2800 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 360 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 120 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 192 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 280 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 432 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 672 ([(2,6),(3,6),(4,5),(5,6)],7) => 24 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 216 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 960 ([(1,6),(2,6),(3,4),(4,5)],7) => 24 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 600 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 108 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1152 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 108 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 1080 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 288 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 48 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 360 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 160 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 720 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 48 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 2160 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 216 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 576 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 120 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 168 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 80 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 160 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 240 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 336 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 320 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 480 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 672 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 240 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2160 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 480 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 3780 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 96 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 1080 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 96 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 4320 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 432 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 480 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 840 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 240 ([(1,6),(2,6),(3,5),(4,5)],7) => 16 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 24 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 96 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 432 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 36 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 128 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 576 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 288 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 36 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 192 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 576 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 54 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 256 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 768 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 384 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 81 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 512 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 1024 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 144 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 192 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 400 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1800 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 3240 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 72 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 864 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 72 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 400 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 720 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 192 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 324 ([(0,6),(1,6),(2,5),(3,4)],7) => 16 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 192 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 720 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 400 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 72 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 192 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 2400 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 576 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 24 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 480 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 144 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 64 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 960 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 288 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 36 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 96 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 36 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 216 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 48 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 96 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 72 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 72 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 144 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 24 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 36 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 48 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 64 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 360 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 144 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 600 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 108 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 288 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 288 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 1080 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 600 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 108 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 32 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 64 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 480 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 960 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 192 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 36 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 54 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 72 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 96 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 128 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 216 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 81 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 288 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 81 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 108 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 144 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 108 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 144 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 192 ([(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) => 256 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 192 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 450 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 900 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 1620 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 162 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 432 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 48 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 64 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 300 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 576 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 900 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 1296 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 1728 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 2304 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 128 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 600 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 1152 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 256 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 240 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 480 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 96 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 48 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 1920 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 432 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 144 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 48 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1200 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 576 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 2160 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 1200 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 216 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 96 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 960 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 2400 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 288 ([(3,6),(4,5)],7) => 4 ([(3,6),(4,5),(4,6)],7) => 6 ([(2,6),(3,4),(3,6),(4,5)],7) => 16 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 30 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 48 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 144 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 288 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 480 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 90 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 180 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 576 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 108 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 216 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 360 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 48 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 360 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 1440 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 60 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 120 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 144 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 240 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 60 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 180 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 1728 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 216 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 720 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 432 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 144 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 432 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 864 ([(3,5),(3,6),(4,5),(4,6)],7) => 9 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 32 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 75 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 144 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 64 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 450 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 100 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 150 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 225 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 216 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 288 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 324 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 432 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 576 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 18 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 24 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 80 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 160 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 240 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 480 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 32 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 100 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 200 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 600 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 300 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 150 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 90 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 150 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 432 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 576 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 1152 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 864 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 864 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 648 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 64 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 300 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 128 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 1350 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 200 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 300 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 450 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 900 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 64 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 288 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 576 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 150 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 128 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 300 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 450 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 128 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 96 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 400 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 600 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 1200 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 96 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 256 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 225 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 600 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 36 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 160 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 320 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 90 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 320 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 640 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 72 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 320 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 960 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 480 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 72 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 256 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 256 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 512 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 135 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 480 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 270 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 27 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 432 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 1728 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 864 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 1296 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 96 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 225 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 192 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 300 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 450 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 675 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 36 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 128 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 300 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 45 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 90 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 180 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 216 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 315 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 1008 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 72 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 256 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 135 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 648 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 945 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 432 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 630 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 144 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 180 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 270 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 405 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 54 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 384 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 192 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 768 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 108 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 640 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 1280 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 54 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 864 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 3456 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 2592 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 1728 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 192 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 384 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 270 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 378 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 108 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 384 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 180 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 360 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 216 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 540 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 756 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 540 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 810 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 1134 ([(2,6),(3,4),(3,6),(6,5)],7) => 24 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 60 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 120 ([(2,6),(3,4),(3,5)],7) => 6 ([(2,6),(3,4),(3,5),(3,6)],7) => 8 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 20 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 36 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 108 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 216 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 60 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 432 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 72 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 144 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 40 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 120 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 1296 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 144 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 288 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 216 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 648 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 48 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 72 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 216 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 432 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 216 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 108 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 324 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 648 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 144 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 288 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 30 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 72 ([(1,6),(2,3),(2,4),(2,5)],7) => 8 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 10 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 24 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 72 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 48 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 144 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 96 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 288 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 36 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 10 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 12 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 42 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 24 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 84 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 48 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 168 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 96 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 336 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 192 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 30 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 60 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 100 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 150 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 36 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 84 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 20 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 108 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 72 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 504 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 40 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 324 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 144 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 1512 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 80 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 972 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 96 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 648 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 224 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 144 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 48 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 216 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 112 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 72 ----------------------------------------------------------------------------- Created: Jul 07, 2022 at 23:30 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jul 07, 2022 at 23:30 by Martin Rubey