Values
([],1) => 3
([],2) => 9
([(0,1)],2) => 6
([],3) => 27
([(1,2)],3) => 18
([(0,1),(0,2)],3) => 14
([(0,2),(2,1)],3) => 10
([(0,2),(1,2)],3) => 14
([],4) => 81
([(2,3)],4) => 54
([(1,2),(1,3)],4) => 42
([(0,1),(0,2),(0,3)],4) => 36
([(0,2),(0,3),(3,1)],4) => 25
([(0,1),(0,2),(1,3),(2,3)],4) => 20
([(1,2),(2,3)],4) => 30
([(0,3),(3,1),(3,2)],4) => 20
([(1,3),(2,3)],4) => 42
([(0,3),(1,3),(3,2)],4) => 20
([(0,3),(1,3),(2,3)],4) => 36
([(0,3),(1,2)],4) => 36
([(0,3),(1,2),(1,3)],4) => 31
([(0,2),(0,3),(1,2),(1,3)],4) => 26
([(0,3),(2,1),(3,2)],4) => 15
([(0,3),(1,2),(2,3)],4) => 25
([],5) => 243
([(3,4)],5) => 162
([(2,3),(2,4)],5) => 126
([(1,2),(1,3),(1,4)],5) => 108
([(0,1),(0,2),(0,3),(0,4)],5) => 98
([(0,2),(0,3),(0,4),(4,1)],5) => 67
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 53
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 46
([(1,3),(1,4),(4,2)],5) => 75
([(0,3),(0,4),(4,1),(4,2)],5) => 53
([(1,2),(1,3),(2,4),(3,4)],5) => 60
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 27
([(0,3),(0,4),(3,2),(4,1)],5) => 46
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 40
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 34
([(2,3),(3,4)],5) => 90
([(1,4),(4,2),(4,3)],5) => 60
([(0,4),(4,1),(4,2),(4,3)],5) => 46
([(2,4),(3,4)],5) => 126
([(1,4),(2,4),(4,3)],5) => 60
([(0,4),(1,4),(4,2),(4,3)],5) => 34
([(1,4),(2,4),(3,4)],5) => 108
([(0,4),(1,4),(2,4),(4,3)],5) => 46
([(0,4),(1,4),(2,4),(3,4)],5) => 98
([(0,4),(1,4),(2,3)],5) => 84
([(0,4),(1,3),(2,3),(2,4)],5) => 70
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 63
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 56
([(0,4),(1,4),(2,3),(4,2)],5) => 27
([(0,4),(1,3),(2,3),(3,4)],5) => 53
([(0,4),(1,4),(2,3),(2,4)],5) => 77
([(0,4),(1,4),(2,3),(3,4)],5) => 67
([(1,4),(2,3)],5) => 108
([(1,4),(2,3),(2,4)],5) => 93
([(0,4),(1,2),(1,4),(2,3)],5) => 54
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 40
([(1,3),(1,4),(2,3),(2,4)],5) => 78
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 41
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 34
([(0,4),(1,2),(1,4),(4,3)],5) => 47
([(0,4),(1,2),(1,3)],5) => 84
([(0,4),(1,2),(1,3),(1,4)],5) => 77
([(0,2),(0,4),(3,1),(4,3)],5) => 39
([(0,4),(1,2),(1,3),(3,4)],5) => 61
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 33
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 53
([(0,3),(0,4),(1,2),(1,4)],5) => 70
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 63
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 56
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 48
([(0,3),(1,2),(1,4),(3,4)],5) => 54
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 41
([(1,4),(3,2),(4,3)],5) => 45
([(0,3),(3,4),(4,1),(4,2)],5) => 27
([(1,4),(2,3),(3,4)],5) => 75
([(0,4),(1,2),(2,4),(4,3)],5) => 33
([(0,3),(1,4),(4,2)],5) => 60
([(0,4),(3,2),(4,1),(4,3)],5) => 33
([(0,4),(1,2),(2,3),(2,4)],5) => 47
([(0,4),(2,3),(3,1),(4,2)],5) => 21
([(0,3),(1,2),(2,4),(3,4)],5) => 46
([(0,4),(1,2),(2,3),(3,4)],5) => 39
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 27
([],6) => 729
([(4,5)],6) => 486
([(3,4),(3,5)],6) => 378
([(2,3),(2,4),(2,5)],6) => 324
([(1,2),(1,3),(1,4),(1,5)],6) => 294
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 276
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 187
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 147
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 127
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 116
([(1,3),(1,4),(1,5),(5,2)],6) => 201
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 147
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 159
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 138
>>> Load all 1200 entries. <<<([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 57
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 100
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 84
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 76
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 68
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 92
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 65
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 73
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 127
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 110
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 93
([(2,3),(2,4),(4,5)],6) => 225
([(1,4),(1,5),(5,2),(5,3)],6) => 159
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 127
([(2,3),(2,4),(3,5),(4,5)],6) => 180
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 81
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 43
([(1,4),(1,5),(4,3),(5,2)],6) => 138
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 120
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 102
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 51
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 43
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 58
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 100
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 92
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 84
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 76
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 68
([(3,4),(4,5)],6) => 270
([(2,3),(3,4),(3,5)],6) => 180
([(1,5),(5,2),(5,3),(5,4)],6) => 138
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 116
([(2,3),(3,5),(5,4)],6) => 135
([(1,4),(4,5),(5,2),(5,3)],6) => 81
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 57
([(3,5),(4,5)],6) => 378
([(2,5),(3,5),(5,4)],6) => 180
([(1,5),(2,5),(5,3),(5,4)],6) => 102
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 68
([(2,5),(3,5),(4,5)],6) => 324
([(1,5),(2,5),(3,5),(5,4)],6) => 138
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 68
([(1,5),(2,5),(3,5),(4,5)],6) => 294
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 116
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 276
([(0,5),(1,5),(2,5),(3,4)],6) => 216
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 57
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 127
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 205
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 187
([(1,5),(2,5),(3,4)],6) => 252
([(1,5),(2,4),(3,4),(3,5)],6) => 210
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 104
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 84
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 189
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 96
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 76
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 168
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 79
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 68
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 87
([(1,5),(2,5),(3,4),(5,3)],6) => 81
([(1,5),(2,4),(3,4),(4,5)],6) => 159
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 65
([(0,5),(1,5),(2,3),(5,4)],6) => 120
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 51
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 85
([(1,5),(2,5),(3,4),(3,5)],6) => 231
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 103
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 132
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 92
([(0,5),(1,5),(2,3),(2,4)],6) => 196
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 43
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 112
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 77
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 187
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 100
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 73
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 57
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 161
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 90
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 65
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 147
([(1,5),(2,5),(3,4),(4,5)],6) => 201
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 81
([(0,5),(1,5),(2,3),(3,4)],6) => 140
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 35
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 100
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 83
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 65
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 121
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 107
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 73
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 57
([(0,5),(1,5),(2,4),(3,4)],6) => 196
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 176
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 165
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 156
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 145
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 134
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 73
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 43
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 147
([(2,5),(3,4)],6) => 324
([(2,5),(3,4),(3,5)],6) => 279
([(1,5),(2,3),(2,5),(3,4)],6) => 162
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 112
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 76
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 60
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 120
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 50
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 84
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 68
([(2,4),(2,5),(3,4),(3,5)],6) => 234
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 123
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 77
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 102
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 68
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 60
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 52
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 156
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 59
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 43
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 51
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 105
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 93
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 138
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 88
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 129
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 106
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 114
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 95
([(1,5),(2,3),(2,5),(5,4)],6) => 141
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 85
([(1,5),(2,3),(2,4)],6) => 252
([(1,5),(2,3),(2,4),(2,5)],6) => 231
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 141
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 102
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 112
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 92
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 121
([(0,5),(1,2),(1,3),(1,4)],6) => 216
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 205
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 107
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 161
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 90
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 139
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 81
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 127
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 132
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 96
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 79
([(1,3),(1,5),(4,2),(5,4)],6) => 117
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 73
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 73
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 66
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 50
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 66
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 59
([(1,5),(2,3),(2,4),(4,5)],6) => 183
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 83
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 99
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 42
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 159
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 65
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 111
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 94
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 85
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 74
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 74
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 102
([(0,4),(1,3),(1,5),(5,2)],6) => 150
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 90
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 122
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 111
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 49
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 120
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 100
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 35
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 73
([(1,4),(1,5),(2,3),(2,5)],6) => 210
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 189
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 104
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 85
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 168
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 95
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 77
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 68
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 114
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 86
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 76
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 113
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 144
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 77
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 68
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 59
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 123
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 94
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 96
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 69
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 95
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 84
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 76
([(0,4),(0,5),(1,2),(1,3)],6) => 196
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 176
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 165
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 124
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 104
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 156
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 145
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 134
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 106
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 115
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 88
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 133
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 105
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 51
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 58
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 112
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 95
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 86
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 77
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 86
([(1,4),(2,3),(2,5),(4,5)],6) => 162
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 75
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 123
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 60
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 51
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 93
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 66
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 77
([(0,5),(1,3),(1,4),(5,2)],6) => 140
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 56
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 65
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 104
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 87
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 68
([(2,5),(3,4),(4,5)],6) => 225
([(1,5),(2,3),(3,5),(5,4)],6) => 99
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 51
([(1,3),(2,4),(4,5)],6) => 180
([(1,5),(4,3),(5,2),(5,4)],6) => 99
([(1,5),(2,3),(3,4),(3,5)],6) => 141
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 67
([(0,4),(1,5),(5,2),(5,3)],6) => 120
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 81
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 103
([(1,5),(3,4),(4,2),(5,3)],6) => 63
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 35
([(1,4),(2,3),(3,5),(4,5)],6) => 138
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 57
([(0,5),(1,4),(4,2),(5,3)],6) => 100
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 49
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 84
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 68
([(1,5),(2,3),(3,4),(4,5)],6) => 117
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 81
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 35
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 49
([(0,5),(1,4),(2,3)],6) => 216
([(0,5),(1,3),(2,4),(2,5)],6) => 186
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 167
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 83
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 66
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 133
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 58
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 110
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 66
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 122
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 157
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 138
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 129
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 129
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 120
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 111
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 102
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 96
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 148
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 124
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 167
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 115
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 123
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 104
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 83
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 59
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 43
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 50
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 141
([(0,5),(1,3),(4,2),(5,4)],6) => 90
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 57
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 75
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 58
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 42
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 66
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 28
([(0,5),(1,3),(2,4),(4,5)],6) => 150
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 113
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 42
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 90
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 56
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 35
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 73
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 42
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 127
([],7) => 2187
([(5,6)],7) => 1458
([(4,5),(4,6)],7) => 1134
([(3,4),(3,5),(3,6)],7) => 972
([(2,3),(2,4),(2,5),(2,6)],7) => 882
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 828
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 794
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 535
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 419
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 361
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 329
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 310
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 561
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 419
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 441
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 381
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 348
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 135
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 244
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 232
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 147
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 159
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 283
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 237
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 214
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 191
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 260
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 222
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 200
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 188
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 178
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 166
([(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) => 154
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 169
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 182
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 205
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 361
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 312
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 263
([(2,4),(2,5),(2,6),(6,3)],7) => 603
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 441
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 361
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 477
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 414
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 171
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 81
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 300
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 252
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 228
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 204
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 93
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 81
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 112
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 90
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 102
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 121
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 99
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 276
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 120
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 222
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 212
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 130
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 91
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 195
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 78
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 139
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 100
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 219
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 119
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 381
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 330
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 279
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 178
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 158
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 103
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 122
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 109
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 142
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 119
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 162
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 283
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 260
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 237
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 214
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 191
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 244
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 211
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 190
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 179
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 158
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 138
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 128
([(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) => 118
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 169
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 112
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 190
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 141
([(3,4),(3,5),(5,6)],7) => 675
([(2,5),(2,6),(6,3),(6,4)],7) => 477
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 381
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 329
([(3,4),(3,5),(4,6),(5,6)],7) => 540
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 243
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 129
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 81
([(2,5),(2,6),(5,4),(6,3)],7) => 414
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 360
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 306
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 153
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 91
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 129
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 53
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 81
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 72
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 63
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 174
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 100
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 300
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 276
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 140
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 244
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 232
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 252
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 228
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 204
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 111
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 91
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 81
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 121
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 100
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 131
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 222
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 200
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 188
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 178
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 166
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 154
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 297
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 126
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 62
([(4,5),(5,6)],7) => 810
([(3,4),(4,5),(4,6)],7) => 540
([(2,6),(6,3),(6,4),(6,5)],7) => 414
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 348
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 310
([(3,4),(4,6),(6,5)],7) => 405
([(2,5),(5,6),(6,3),(6,4)],7) => 243
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 171
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 135
([(4,6),(5,6)],7) => 1134
([(3,6),(4,6),(6,5)],7) => 540
([(2,6),(3,6),(6,4),(6,5)],7) => 306
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 204
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 154
([(3,6),(4,6),(5,6)],7) => 972
([(2,6),(3,6),(4,6),(6,5)],7) => 414
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 204
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 118
([(2,6),(3,6),(4,6),(5,6)],7) => 882
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 348
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 154
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 828
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 310
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 794
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 588
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 135
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 329
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 569
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 535
([(1,6),(2,6),(3,6),(4,5)],7) => 648
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 171
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 381
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 276
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 93
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 179
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 615
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 251
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 348
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 232
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 504
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 81
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 264
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 167
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 491
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 445
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 419
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 561
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 213
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 360
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 69
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 147
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 244
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 329
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 156
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 96
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 69
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 303
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 504
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 446
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 414
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 395
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 382
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 363
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 344
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 159
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 81
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 361
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 472
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 453
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 205
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 119
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 81
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 419
([(2,6),(3,6),(4,5)],7) => 756
([(2,6),(3,5),(4,5),(4,6)],7) => 630
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 312
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 184
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 252
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 99
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 158
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 136
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 114
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 567
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 288
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 174
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 126
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 104
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 228
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 138
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 116
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 504
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 237
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 131
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 204
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 118
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 106
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 94
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 336
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 105
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 81
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 211
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 93
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 191
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 310
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 186
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 297
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 258
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 270
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 239
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 261
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 141
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 378
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 135
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 90
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 112
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 249
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 102
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 214
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 114
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 234
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 339
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 198
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 326
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 286
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 351
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 223
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 273
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 285
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 254
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 309
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 420
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 368
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 144
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 272
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 121
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 237
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 380
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 314
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 289
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 276
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 301
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 235
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 355
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 301
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 324
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 269
([(2,6),(3,6),(4,5),(6,4)],7) => 243
([(2,6),(3,5),(4,5),(5,6)],7) => 477
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 195
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 91
([(1,6),(2,6),(3,4),(6,5)],7) => 360
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 153
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 255
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 113
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 204
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 111
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 161
([(2,6),(3,6),(4,5),(4,6)],7) => 693
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 309
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 161
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 396
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 276
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 180
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 136
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 270
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 168
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 124
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 201
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 108
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 152
([(1,6),(2,6),(3,4),(3,5)],7) => 588
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 129
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 336
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 231
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 104
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 143
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 280
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 91
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 184
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 141
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 561
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 257
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 339
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 228
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 270
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 212
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 504
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 81
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 270
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 174
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 131
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 491
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 272
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 205
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 159
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 421
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 244
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 182
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 147
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 383
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 228
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 169
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 361
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 483
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 199
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 441
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 169
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 350
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 62
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 191
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 147
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 130
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 91
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 239
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 224
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 182
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 310
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 186
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 117
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 175
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 130
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 121
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 155
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 129
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 111
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 99
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 139
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 87
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 130
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 108
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 166
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 139
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 70
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 291
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 184
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 198
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 160
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 276
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 254
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 182
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 147
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 280
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 53
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 222
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 242
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 227
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 96
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 53
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 205
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 272
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 196
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 159
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 159
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 117
([(2,6),(3,6),(4,5),(5,6)],7) => 603
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 243
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 111
([(1,6),(2,6),(3,4),(4,5)],7) => 420
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 105
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 300
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 117
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 200
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 71
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 156
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 363
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 155
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 189
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 140
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 280
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 53
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 178
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 134
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 199
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 169
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 257
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 223
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 173
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 147
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 205
([(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) => 135
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 168
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 68
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 105
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 44
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 321
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 125
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 210
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 44
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 161
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 108
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 78
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 174
([(1,6),(2,6),(3,5),(4,5)],7) => 588
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 528
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 258
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 200
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 495
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 246
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 188
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 207
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 468
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 210
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 178
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 435
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 198
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 166
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 185
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 402
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 173
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 154
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 232
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 219
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 129
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 87
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 53
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 441
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 169
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 280
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 133
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 91
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 227
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 222
([(0,6),(1,6),(2,5),(3,4)],7) => 504
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 162
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 81
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 123
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 318
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 217
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 78
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 182
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 462
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 132
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 280
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 327
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 120
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 260
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 433
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 299
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 393
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 220
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 380
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 338
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 387
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 311
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 280
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 434
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 353
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 328
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 303
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 135
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 259
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 110
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 257
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 204
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 153
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 72
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 114
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 305
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 409
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 353
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 162
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 100
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 312
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 364
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 313
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 288
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 264
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 251
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 222
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 286
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 210
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 275
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 262
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 249
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 251
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 238
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 225
([(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) => 212
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 236
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 126
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 101
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 63
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 244
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 191
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 340
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 327
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 156
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 101
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 119
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 81
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 72
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 63
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 285
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 142
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 91
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 263
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 176
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 110
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 334
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 402
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 96
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 228
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 361
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 350
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 96
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 139
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 62
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 100
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 283
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 295
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 116
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 62
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 254
([(3,6),(4,5)],7) => 972
([(3,6),(4,5),(4,6)],7) => 837
([(2,6),(3,4),(3,6),(4,5)],7) => 486
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 336
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 264
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 168
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 126
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 106
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 228
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 180
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 101
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 178
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 136
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 116
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 360
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 150
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 72
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 252
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 204
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 156
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 136
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 249
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 198
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 79
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 131
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 92
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 112
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 153
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 111
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 92
([(3,5),(3,6),(4,5),(4,6)],7) => 702
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 369
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 231
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 167
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 306
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 129
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 204
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 180
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 156
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 134
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 124
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 114
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 104
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 94
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 468
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 414
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 224
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 184
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 173
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 158
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 387
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 213
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 174
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 148
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 162
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 189
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 212
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 177
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 101
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 92
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 73
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 83
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 82
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 92
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 315
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 153
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 279
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 109
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 171
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 158
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 135
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 122
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 246
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 122
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 102
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 186
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 204
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 148
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 135
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 414
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 201
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 264
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 129
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 116
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 103
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 213
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 172
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 154
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 117
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 387
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 190
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 161
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 228
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 164
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 148
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 318
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 151
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 123
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 138
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 239
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 174
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 175
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 158
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 202
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 139
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 170
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 364
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 101
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 63
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 82
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 73
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 225
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 165
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 194
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 151
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 138
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 125
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 340
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 203
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 144
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 327
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 266
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 234
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 156
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 119
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 81
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 277
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 162
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 237
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 122
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 91
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 133
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 100
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 244
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 221
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 206
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 191
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 342
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 147
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 171
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 132
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 285
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 126
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 111
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 260
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 80
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 53
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 62
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 71
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 195
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 178
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 135
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 109
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 212
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 149
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 189
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 158
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 179
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 112
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 90
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 143
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 101
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 81
([(2,6),(3,4),(3,6),(6,5)],7) => 423
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 255
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 179
([(2,6),(3,4),(3,5)],7) => 756
([(2,6),(3,4),(3,5),(3,6)],7) => 693
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 423
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 305
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 203
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 158
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 306
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 130
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 225
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 180
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 336
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 276
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 108
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 178
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 156
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 153
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 130
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 264
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 229
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 157
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 135
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 178
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 194
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 146
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 124
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 189
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 146
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 363
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 227
([(1,6),(2,3),(2,4),(2,5)],7) => 648
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 615
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 387
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 276
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 305
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 248
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 264
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 232
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 329
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 588
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 569
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 303
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 445
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 254
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 383
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 228
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 349
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 213
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 329
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 348
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 246
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 198
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 173
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 321
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 205
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 483
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 223
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 270
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 116
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 417
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 173
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 243
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 96
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 381
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 147
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 261
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 160
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 184
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 248
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 303
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 198
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 208
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 278
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,0,0,1 1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1 1,0,0,0,0,3,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
$F_{1} = q^{3}$
$F_{2} = q^{6} + q^{9}$
$F_{3} = q^{10} + 2\ q^{14} + q^{18} + q^{27}$
$F_{4} = q^{15} + 3\ q^{20} + 2\ q^{25} + q^{26} + q^{30} + q^{31} + 3\ q^{36} + 2\ q^{42} + q^{54} + q^{81}$
$F_{5} = q^{21} + 4\ q^{27} + 3\ q^{33} + 3\ q^{34} + 2\ q^{39} + 2\ q^{40} + 2\ q^{41} + q^{45} + 5\ q^{46} + 2\ q^{47} + q^{48} + 4\ q^{53} + 2\ q^{54} + 2\ q^{56} + 4\ q^{60} + q^{61} + 2\ q^{63} + 2\ q^{67} + 2\ q^{70} + 2\ q^{75} + 2\ q^{77} + q^{78} + 2\ q^{84} + q^{90} + q^{93} + 2\ q^{98} + 3\ q^{108} + 2\ q^{126} + q^{162} + q^{243}$
$F_{6} = q^{28} + 5\ q^{35} + 4\ q^{42} + 6\ q^{43} + 3\ q^{49} + 3\ q^{50} + 6\ q^{51} + q^{52} + 2\ q^{56} + 7\ q^{57} + 4\ q^{58} + 4\ q^{59} + 3\ q^{60} + q^{63} + 6\ q^{65} + 6\ q^{66} + q^{67} + 11\ q^{68} + q^{69} + 8\ q^{73} + 2\ q^{74} + 2\ q^{75} + 6\ q^{76} + 6\ q^{77} + 2\ q^{79} + 7\ q^{81} + 4\ q^{83} + 6\ q^{84} + 4\ q^{85} + 3\ q^{86} + 2\ q^{87} + 2\ q^{88} + 5\ q^{90} + 4\ q^{92} + 3\ q^{93} + 2\ q^{94} + 4\ q^{95} + 4\ q^{96} + 3\ q^{99} + 6\ q^{100} + 6\ q^{102} + 2\ q^{103} + 5\ q^{104} + 2\ q^{105} + 2\ q^{106} + 2\ q^{107} + 2\ q^{110} + 3\ q^{111} + 4\ q^{112} + 2\ q^{113} + 2\ q^{114} + 2\ q^{115} + 3\ q^{116} + 2\ q^{117} + 6\ q^{120} + 2\ q^{121} + 2\ q^{122} + 4\ q^{123} + 2\ q^{124} + 6\ q^{127} + 3\ q^{129} + 2\ q^{132} + 2\ q^{133} + 2\ q^{134} + q^{135} + 7\ q^{138} + q^{139} + 2\ q^{140} + 4\ q^{141} + q^{144} + 2\ q^{145} + 4\ q^{147} + q^{148} + 2\ q^{150} + 3\ q^{156} + q^{157} + 4\ q^{159} + 2\ q^{161} + 2\ q^{162} + 2\ q^{165} + 2\ q^{167} + 2\ q^{168} + 2\ q^{176} + 4\ q^{180} + q^{183} + q^{186} + 3\ q^{187} + 2\ q^{189} + 3\ q^{196} + 2\ q^{201} + 2\ q^{205} + 2\ q^{210} + 3\ q^{216} + 2\ q^{225} + 2\ q^{231} + q^{234} + 2\ q^{252} + q^{270} + 2\ q^{276} + q^{279} + 2\ q^{294} + 3\ q^{324} + 2\ q^{378} + q^{486} + q^{729}$
Description
The number of homomorphisms to the three element chain of a poset.
This is the evaluation of the order polynomial at $3$.
This is the evaluation of the order polynomial at $3$.
References
[1] Campo, F. a. A recursive approach for the enumeration of the homomorphisms from a poset $P$ to the chain $C_3$ arXiv:2104.03079
Code
def statistic(P):
return P.order_polynomial().subs(q=3)
Created
Apr 08, 2021 at 15:24 by Martin Rubey
Updated
Apr 08, 2021 at 15:24 by Martin Rubey
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