*****************************************************************************
*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
*                                                                           *
*    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: St001472

-----------------------------------------------------------------------------
Collection: Posets

-----------------------------------------------------------------------------
Description: The permanent of the Coxeter matrix of the poset.

-----------------------------------------------------------------------------
References: [1]   Mare Permanent of the coxeter matrix [[MathOverflow:343203]]

-----------------------------------------------------------------------------
Code:
def statistic(P):
    return P.coxeter_transformation().permanent()


-----------------------------------------------------------------------------
Statistic values:

([],1)                                                                        => -1
([],2)                                                                        => 1
([(0,1)],2)                                                                   => -1
([],3)                                                                        => -1
([(1,2)],3)                                                                   => 1
([(0,1),(0,2)],3)                                                             => 3
([(0,2),(2,1)],3)                                                             => -1
([(0,2),(1,2)],3)                                                             => -3
([],4)                                                                        => 1
([(2,3)],4)                                                                   => -1
([(1,2),(1,3)],4)                                                             => -3
([(0,1),(0,2),(0,3)],4)                                                       => -5
([(0,2),(0,3),(3,1)],4)                                                       => 3
([(0,1),(0,2),(1,3),(2,3)],4)                                                 => 1
([(1,2),(2,3)],4)                                                             => 1
([(0,3),(3,1),(3,2)],4)                                                       => 3
([(1,3),(2,3)],4)                                                             => 3
([(0,3),(1,3),(3,2)],4)                                                       => -3
([(0,3),(1,3),(2,3)],4)                                                       => -11
([(0,3),(1,2)],4)                                                             => 1
([(0,3),(1,2),(1,3)],4)                                                       => 5
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => 21
([(0,3),(2,1),(3,2)],4)                                                       => -1
([(0,3),(1,2),(2,3)],4)                                                       => -3
([],5)                                                                        => -1
([(3,4)],5)                                                                   => 1
([(2,3),(2,4)],5)                                                             => 3
([(1,2),(1,3),(1,4)],5)                                                       => 5
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => 7
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => -5
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                           => 5
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                     => 13
([(1,3),(1,4),(4,2)],5)                                                       => -3
([(0,3),(0,4),(4,1),(4,2)],5)                                                 => -9
([(1,2),(1,3),(2,4),(3,4)],5)                                                 => -1
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => 1
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => 3
([(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)                                     => -109
([(2,3),(3,4)],5)                                                             => -1
([(1,4),(4,2),(4,3)],5)                                                       => -3
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => -5
([(2,4),(3,4)],5)                                                             => -3
([(1,4),(2,4),(4,3)],5)                                                       => 3
([(0,4),(1,4),(4,2),(4,3)],5)                                                 => 9
([(1,4),(2,4),(3,4)],5)                                                       => 11
([(0,4),(1,4),(2,4),(4,3)],5)                                                 => -11
([(0,4),(1,4),(2,4),(3,4)],5)                                                 => -53
([(0,4),(1,4),(2,3)],5)                                                       => 3
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => 7
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                           => 45
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                     => 191
([(0,4),(1,4),(2,3),(4,2)],5)                                                 => -3
([(0,4),(1,3),(2,3),(3,4)],5)                                                 => -9
([(0,4),(1,4),(2,3),(2,4)],5)                                                 => 17
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => -11
([(1,4),(2,3)],5)                                                             => -1
([(1,4),(2,3),(2,4)],5)                                                       => -5
([(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)                                                 => -21
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                           => 21
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                     => -1
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => 5
([(0,4),(1,2),(1,3)],5)                                                       => -3
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => -7
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => 3
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => 9
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                           => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                           => 11
([(0,3),(0,4),(1,2),(1,4)],5)                                                 => -11
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                           => -27
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                     => -55
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                           => 25
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => 5
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                           => 21
([(1,4),(3,2),(4,3)],5)                                                       => 1
([(0,3),(3,4),(4,1),(4,2)],5)                                                 => 3
([(1,4),(2,3),(3,4)],5)                                                       => 3
([(0,4),(1,2),(2,4),(4,3)],5)                                                 => -3
([(0,3),(1,4),(4,2)],5)                                                       => 1
([(0,4),(3,2),(4,1),(4,3)],5)                                                 => 3
([(0,4),(1,2),(2,3),(2,4)],5)                                                 => 5
([(0,4),(2,3),(3,1),(4,2)],5)                                                 => -1
([(0,3),(1,2),(2,4),(3,4)],5)                                                 => -3
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => -3
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => 1
([],6)                                                                        => 1
([(4,5)],6)                                                                   => -1
([(3,4),(3,5)],6)                                                             => -3
([(2,3),(2,4),(2,5)],6)                                                       => -5
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => -7
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => -9
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => 7
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => -11
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                               => 9
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)                         => 115
([(1,3),(1,4),(1,5),(5,2)],6)                                                 => 5
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => 15
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                           => -5
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                     => -13
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                               => 13
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                                     => 5
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)                               => -9
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => -337
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => -2637
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => -55
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)                               => 7
([(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)                                           => -5
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => -7
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 67
([(2,3),(2,4),(4,5)],6)                                                       => 3
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => 9
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => 15
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => 1
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                           => -1
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                     => -3
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => -3
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 3
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 109
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                               => -109
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => -1
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                     => -3
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                           => -9
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                                     => 5
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => 17
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)                               => 171
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 609
([(3,4),(4,5)],6)                                                             => 1
([(2,3),(3,4),(3,5)],6)                                                       => 3
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => 5
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => 7
([(2,3),(3,5),(5,4)],6)                                                       => -1
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => -3
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => -5
([(3,5),(4,5)],6)                                                             => 3
([(2,5),(3,5),(5,4)],6)                                                       => -3
([(1,5),(2,5),(5,3),(5,4)],6)                                                 => -9
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                           => -15
([(2,5),(3,5),(4,5)],6)                                                       => -11
([(1,5),(2,5),(3,5),(5,4)],6)                                                 => 11
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                           => 33
([(1,5),(2,5),(3,5),(4,5)],6)                                                 => 53
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => -53
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                           => -309
([(0,5),(1,5),(2,5),(3,4)],6)                                                 => 11
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                           => -11
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                           => -33
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)                                           => 75
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                           => -53
([(1,5),(2,5),(3,4)],6)                                                       => -3
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => -7
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => 7
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => 5
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => -45
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                                     => 45
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                               => 3
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => -191
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => 191
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 3
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                     => 45
([(1,5),(2,5),(3,4),(5,3)],6)                                                 => 3
([(1,5),(2,4),(3,4),(4,5)],6)                                                 => 9
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                           => -9
([(0,5),(1,5),(2,3),(5,4)],6)                                                 => 3
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => 9
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => 15
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => -17
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => 17
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => 17
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => 11
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => -9
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                           => 9
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => 15
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 63
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                                           => -23
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => 9
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                     => -3
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                     => 1
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => 33
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                     => 11
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)                               => -5
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                     => 103
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => 11
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => -11
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => 3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => -3
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => -9
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                                           => 9
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                     => 5
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                                           => 17
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => -11
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 11
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                               => 13
([(0,5),(1,5),(2,4),(3,4)],6)                                                 => 9
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                           => 23
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 171
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => 85
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => 509
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 2169
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                           => -9
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 3
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                           => -33
([(2,5),(3,4)],6)                                                             => 1
([(2,5),(3,4),(3,5)],6)                                                       => 5
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => -5
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => -15
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => -5
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => -235
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => -3
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => 3
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => 5
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => -9
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => 21
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                           => -21
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                     => -63
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 1
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                     => 21
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => -1
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => 477
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => -21
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                     => 21
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                               => -1
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                               => -1
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                                     => 63
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                               => 7
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                     => -87
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)                               => 201
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => -233
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => 279
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => 45
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => 191
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => -5
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => -15
([(1,5),(2,3),(2,4)],6)                                                       => 3
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => 7
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => -7
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 3
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => 11
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 71
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => -7
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => 5
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => 9
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => -5
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => -15
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                                     => 5
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 11
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => 13
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 159
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                                           => -7
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => -27
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => -55
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => -3
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => -9
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => 3
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => -3
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => -1
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => -3
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => -145
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => -9
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                                           => 9
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => -1
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                     => 1
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => -11
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 11
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                                           => 9
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => -5
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => -331
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => 15
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => -15
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => -33
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => -3
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => -9
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => -15
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => 9
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                     => 1
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                                           => -1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                     => 11
([(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)                                     => 3
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => 11
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => 27
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                     => -27
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => -1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 55
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                               => -55
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                         => 23
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => 15
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                                     => -27
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => 23
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                         => 23
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                                           => -11
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => -25
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => 25
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => 25
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => 5
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => -11
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => -5
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                                     => -63
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                               => -21
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                                     => 41
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)                               => -9
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => 25
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => 9
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => 17
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => 33
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => -35
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => 27
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                     => 37
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                               => 65
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => 105
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => -63
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => -31
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => -135
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => -15
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                                     => -63
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                               => -109
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                     => -3
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                                     => -13
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                     => 29
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                               => -73
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                         => -1411
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                     => 33
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => -5
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => 5
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                           => -21
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                     => 21
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                               => -1
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                           => 5
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => 3
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => 25
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => -3
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                           => 3
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                           => -9
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                                           => -11
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => -27
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => 25
([(2,5),(3,4),(4,5)],6)                                                       => -3
([(1,5),(2,3),(3,5),(5,4)],6)                                                 => 3
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                           => 9
([(1,3),(2,4),(4,5)],6)                                                       => -1
([(1,5),(4,3),(5,2),(5,4)],6)                                                 => -3
([(1,5),(2,3),(3,4),(3,5)],6)                                                 => -5
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                           => 5
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => -3
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => -5
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => -7
([(1,5),(3,4),(4,2),(5,3)],6)                                                 => 1
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                           => 3
([(1,4),(2,3),(3,5),(4,5)],6)                                                 => 3
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => -3
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => 1
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => 3
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 5
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => 21
([(1,5),(2,3),(3,4),(4,5)],6)                                                 => 3
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                           => -1
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                                     => 1
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                                           => -3
([(0,5),(1,4),(2,3)],6)                                                       => -1
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => -5
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                                           => -9
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                           => 5
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => 3
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => 15
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                     => 3
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 29
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => 5
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => 15
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => -17
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => -33
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => -95
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)                                     => -61
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)                               => -163
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => -389
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => -827
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                     => 39
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => -55
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                     => 85
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                           => -27
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => 53
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                           => 7
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => 45
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => 5
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                     => 21
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                               => -109
([(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)                                           => 17
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => 1
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => 3
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => 5
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                     => 3
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                           => 3
([(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)                                                 => 3
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => 7
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                           => -3
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                           => -9
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                           => -3
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                                     => 1
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => -3
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                     => 1
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                           => -11
([],7)                                                                        => -1
([(5,6)],7)                                                                   => 1
([(4,5),(4,6)],7)                                                             => 3
([(3,4),(3,5),(3,6)],7)                                                       => 5
([(2,3),(2,4),(2,5),(2,6)],7)                                                 => 7
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                           => 9
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                     => 11
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                     => -9
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)                               => 17
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)                         => -31
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => -9
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => 971
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)                                           => -7
([(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)                                     => 11
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                               => -9
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                         => -115
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => 115
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => 9
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => -441
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                   => 35
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)                         => 9
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)                               => -11
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => -5
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 247
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 2255
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)                         => 21
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)                         => 3
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                   => -81
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => -1863
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => -741
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => -8523
([(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) => -53325
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                   => 51
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => 11
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => -11
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => 7
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)                               => 17
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => -25
([(2,4),(2,5),(2,6),(6,3)],7)                                                 => -5
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)                                           => -15
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                     => -25
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                           => 5
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                     => 13
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => -13
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)                         => -39
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                                     => -5
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                               => 9
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 337
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 2637
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => -2637
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)       => -13
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)                   => -337
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)             => -5
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => -337
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => -9
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => -3
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                               => 55
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => -55
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)                               => -15
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)                         => 97
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)                         => -37
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => -395
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)                               => -7
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                         => 7
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => 5
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => -21
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                                     => -5
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)                               => -15
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)                                           => 5
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                                     => 7
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)                               => -67
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => 67
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => 931
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)             => 3851
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)             => -2735
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => -475
([(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)                         => 67
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 3
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)                               => -7
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => 15
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => 9
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)                               => 5
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => -117
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => -499
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                     => -5
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)                               => -7
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => 15
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => 51
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 245
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 1309
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                   => 601
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)             => 2625
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 8645
([(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) => 23717
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => 511
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => -279
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => 141
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => -49
([(3,4),(3,5),(5,6)],7)                                                       => -3
([(2,5),(2,6),(6,3),(6,4)],7)                                                 => -9
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)                                           => -15
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => -21
([(3,4),(3,5),(4,6),(5,6)],7)                                                 => -1
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => 1
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => 3
([(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)                                                 => 3
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)                                           => -3
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => -109
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => 109
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)                         => 327
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 1
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)                   => -1
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)                         => -109
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => 3
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 3567
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => 3
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => 9
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => 9
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)                                     => -5
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => 5
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => 15
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => -7
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)                                     => -17
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)                               => -171
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => -609
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => 609
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)             => -43
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)       => -13
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)                         => 171
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => 3
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => 17
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                     => 27
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)                               => -31
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)                         => -233
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => -269
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => -795
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)             => -1789
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                           => 1
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => -1
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => -3
([(4,5),(5,6)],7)                                                             => -1
([(3,4),(4,5),(4,6)],7)                                                       => -3
([(2,6),(6,3),(6,4),(6,5)],7)                                                 => -5
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                           => -7
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => -9
([(3,4),(4,6),(6,5)],7)                                                       => 1
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => 3
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => 5
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 7
([(4,6),(5,6)],7)                                                             => -3
([(3,6),(4,6),(6,5)],7)                                                       => 3
([(2,6),(3,6),(6,4),(6,5)],7)                                                 => 9
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => 15
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => 21
([(3,6),(4,6),(5,6)],7)                                                       => 11
([(2,6),(3,6),(4,6),(6,5)],7)                                                 => -11
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => -33
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                     => -55
([(2,6),(3,6),(4,6),(5,6)],7)                                                 => -53
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                           => 53
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                     => 159
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                           => 309
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => -309
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                     => -2119
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)                                           => 53
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => -53
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                     => -159
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                     => 415
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                     => -309
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => -11
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => 11
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => 33
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)                                           => 11
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => 33
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => 55
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => -75
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => 75
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                     => 75
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 53
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)                                           => -33
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                     => 33
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)                                     => 55
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                               => 231
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => -97
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 159
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 905
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                           => 53
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => -53
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)                                           => 11
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                     => -11
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                     => -33
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)                                     => -33
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                     => 75
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => -11
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => 11
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                         => 13
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                     => -53
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => 33
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                     => 75
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                               => 307
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 2169
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 1211
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 6889
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 29259
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                     => -33
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 11
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)                                     => -121
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                     => 97
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 843
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => -33
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 33
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 39
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                     => -159
([(2,6),(3,6),(4,5)],7)                                                       => 3
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => 7
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => -7
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => -21
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                     => -5
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 5
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => 7
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => -11
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => -361
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => 45
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => -45
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => -135
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => -5
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                   => 1757
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => -3
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                               => 45
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => -13
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 191
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => -191
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => -573
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => -3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 191
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)                   => -17
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => -1701
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                               => -191
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                         => 191
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                   => 3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)                         => 573
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)                   => 3
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 53
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                         => -891
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => 2077
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => -2551
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => 3729
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                         => 509
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                   => 2169
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                     => -45
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                               => -135
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                     => -45
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => 45
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => 3
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)                         => 3
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 135
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => 3
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 27
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => 45
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => 135
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => -175
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => 417
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => -599
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                         => 1073
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => -261
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                         => 543
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                         => 733
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 85
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => 509
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 171
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => -7
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => -11
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => 7
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 21
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 5
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                               => 47
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => -37
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => -133
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => -299
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => -919
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => -445
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)                               => 75
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => -99
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 177
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => 23
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 85
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => -3
([(2,6),(3,5),(4,5),(5,6)],7)                                                 => -9
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                           => 9
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)                                     => 27
([(1,6),(2,6),(3,4),(6,5)],7)                                                 => -3
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => -9
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                           => -15
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)                                     => 15
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)                                           => -9
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)                                     => -15
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => -21
([(2,6),(3,6),(4,5),(4,6)],7)                                                 => 17
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                           => -17
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => -51
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => -17
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => -11
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => 17
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => -33
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                     => -51
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)                               => -17
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => -831
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => 17
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => 11
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => 11
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => 9
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                           => -9
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                           => -15
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => -63
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => 63
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => 15
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)                                           => -9
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)                                     => -27
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)                                     => -33
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                               => -81
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                           => 23
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                     => -23
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                     => -23
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                               => 7
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                               => 39
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 271
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)                                           => 15
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)                                     => -15
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)                                     => -21
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => -81
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                         => -165
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                     => 29
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => -15
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => 5
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => 5
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                     => -55
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => 11
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => -17
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => 13
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                               => 3
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => 159
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => -153
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 1523
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                           => -33
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => 33
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => -103
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => 103
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)                                           => -9
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)                                     => 9
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => 15
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => 75
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => 9
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)                         => -3
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)                                     => 27
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => -27
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => -15
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => -51
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => 9
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => 15
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => -33
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => 15
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => -247
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => -671
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => -15
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)                         => -289
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                   => 3
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => -3
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                         => -1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)                         => -5
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => -13
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => -9
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => -11
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => -1
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => 33
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => 107
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => -105
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => -49
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                               => -237
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => 103
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => -127
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                   => -73
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)                                     => -3
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)                               => 3
([(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)                               => -17
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => -1491
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => 3
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                         => -1
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                               => 11
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => 33
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => -33
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                         => -39
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                               => 11
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                         => -5
([(2,6),(3,6),(4,5),(5,6)],7)                                                 => -11
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => 11
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => 33
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => -3
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => 3
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => 9
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                     => -9
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)                                           => 3
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)                                     => 9
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)                                     => 15
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => -17
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => 17
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => 17
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => 11
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)                                           => -9
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)                                     => 9
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)                                     => 15
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => 63
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => -15
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => -11
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => -23
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 33
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                               => 11
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                         => 9
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 103
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 159
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                   => 115
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => 3
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => -3
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                                     => -1
([(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)                                           => 11
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => -11
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => 3
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)                                     => -3
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)                                     => -9
([(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)                               => 5
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => 17
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => -9
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                           => -23
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => 23
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => 17
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => -171
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => 171
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => 13
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 171
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => -85
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 85
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 7
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => -509
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => 509
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => 21
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                         => 509
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => -2169
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => 2169
([(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)                                     => 23
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                           => 9
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                                     => -3
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                     => -9
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)                               => 3
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                           => 33
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => -33
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)                                           => 9
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)                                     => 27
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)                               => 15
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)                                     => 51
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                     => -27
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => -3
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => 3
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => 9
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => 15
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)                                           => 9
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                                     => 21
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                     => -9
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                     => -27
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)                                           => -17
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => 17
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => 51
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)                                     => 51
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => 11
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 105
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => -109
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                               => 199
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => -57
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => 131
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => -205
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 375
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => 75
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => 23
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 171
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => -15
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                     => -27
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => -65
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => -151
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => 39
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                               => 139
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => 15
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 21
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => 135
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => 15
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => -9
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => 75
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 51
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => -29
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                     => 55
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => 29
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => -15
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 245
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)                                     => -63
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)                               => -129
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)                         => -275
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => -605
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => -1709
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)                         => 433
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)                         => -741
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => 2529
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                         => -551
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                   => -1531
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => -3907
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                   => -1193
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => -3049
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => -7173
([(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) => -15565
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => 693
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => 201
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)                               => 63
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)                         => -327
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                               => 135
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => 573
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                               => -105
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => -337
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => 63
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)                         => -21
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                         => -3
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)                         => -1
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => 1
([(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)                               => 231
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => 7
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                   => 1
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 53
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => 15
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => -5
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)                                     => 55
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)                                           => 11
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => -11
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => -33
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                     => -53
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)                                           => 9
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)                                     => -9
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                     => -9
([(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)                               => 9
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => -33
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)                                     => 23
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => -9
([(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)                                     => -33
([(3,6),(4,5)],7)                                                             => -1
([(3,6),(4,5),(4,6)],7)                                                       => -5
([(2,6),(3,4),(3,6),(4,5)],7)                                                 => 5
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                           => 15
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)                                     => 25
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => 7
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => 325
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => 1267
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                     => 5
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 235
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => -5
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => -15
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => 31
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => 365
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => 3
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => -3
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => -9
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => -5
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => 9
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => -15
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => 15
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => -5
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => -3
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => 3
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => 5
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => -9
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => -9
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => -15
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => -5
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => -235
([(3,5),(3,6),(4,5),(4,6)],7)                                                 => -21
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                           => 21
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => 63
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)                               => 105
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                     => -1
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 1
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => -21
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 1
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => -477
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => -63
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => 3
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => 23
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)                   => -883
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)             => -7209
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => 21
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                     => 33
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                               => -33
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => -3
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 21
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                   => -59
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 95
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => -95
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => 63
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => -1
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => 3
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => -95
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)                               => -33
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => -21
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)                               => 21
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)                         => -1
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)                   => 477
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)                   => 693
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => -1
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => -1
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => -63
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 1
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => -7
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => 7
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => 63
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => -29
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => 63
([(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)                                     => -21
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)                               => -63
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)                         => -13
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => -105
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)                               => 1
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)                         => -3
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 2069
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 87
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => -87
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => -201
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => 201
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => 201
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => -87
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => -1
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => -535
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => -17
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 233
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => -233
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => -1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => -233
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => 201
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 31
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => -279
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => 279
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => 7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => 279
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => -87
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => -45
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => 333
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)                   => -7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => -613
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => -191
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => 279
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)                                     => 63
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)                               => -63
([(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)                         => -1
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)                   => 477
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)                               => -105
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => -441
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                         => -5
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 211
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => -61
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 8711
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)                               => 129
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => -243
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => -1103
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                         => 275
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)                         => -369
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => 277
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => -63
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)                         => 327
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)                         => -109
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => -135
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => 321
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => -573
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                   => -1411
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)             => 11507
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)                         => -73
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => 737
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)                         => -201
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => 383
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => -1363
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => -20625
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                                     => -45
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => 45
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => 45
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => 3
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => -191
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => 191
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => 3
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => -21
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => 21
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)                         => -1
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)                         => -1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)                         => -1
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)                               => 63
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => 7
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => -63
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => 67
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)                               => -87
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => 201
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => -233
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => 279
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => 45
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => -73
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => -337
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => 191
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                   => -1411
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)             => -2637
([(2,6),(3,4),(3,6),(6,5)],7)                                                 => 5
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                           => 15
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => 25
([(2,6),(3,4),(3,5)],7)                                                       => -3
([(2,6),(3,4),(3,5),(3,6)],7)                                                 => -7
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => 7
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)                                     => 21
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                               => -5
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 193
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => -3
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => 3
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => -7
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => -1
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                                     => -11
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => -71
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => 71
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => 11
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => -181
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => 11
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => 21
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => -7
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)                               => -17
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => -15
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => -903
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => -137
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => 25
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => -575
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => -6175
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => 3
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => -43
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => 7
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => 21
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => -5
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => -9
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => 9
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)                               => -9
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)                               => -17
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => -49
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)                         => 31
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 753
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => 9
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => -7
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => -11
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => 7
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => 21
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => -11
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                               => -33
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => 9
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => -53
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => 115
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 1545
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => 9
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => 33
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => 65
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => 105
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => 5
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => 15
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                           => 15
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => -15
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => -5
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => 5
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => -11
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                               => 11
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                               => -13
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => 13
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => -159
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                         => 159
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                               => 11
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => 101
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => -183
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                         => -409
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => -15
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => 3
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => -3
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                               => -1

-----------------------------------------------------------------------------
Created: Oct 05, 2019 at 15:04 by Martin Rubey

-----------------------------------------------------------------------------
Last Updated: Mar 06, 2022 at 10:25 by Martin Rubey