Identifier
Values
=>
[1]=>1
[-1]=>2
[1,2]=>1
[1,-2]=>2
[-1,2]=>4
[-1,-2]=>8
[2,1]=>2
[2,-1]=>3
[-2,1]=>3
[-2,-1]=>4
[1,2,3]=>1
[1,2,-3]=>2
[1,-2,3]=>4
[1,-2,-3]=>8
[-1,2,3]=>6
[-1,2,-3]=>12
[-1,-2,3]=>24
[-1,-2,-3]=>48
[1,3,2]=>2
[1,3,-2]=>3
[1,-3,2]=>3
[1,-3,-2]=>4
[-1,3,2]=>12
[-1,3,-2]=>18
[-1,-3,2]=>18
[-1,-3,-2]=>24
[2,1,3]=>2
[2,1,-3]=>4
[2,-1,3]=>5
[2,-1,-3]=>10
[-2,1,3]=>5
[-2,1,-3]=>10
[-2,-1,3]=>12
[-2,-1,-3]=>24
[2,3,1]=>3
[2,3,-1]=>4
[2,-3,1]=>5
[2,-3,-1]=>6
[-2,3,1]=>9
[-2,3,-1]=>11
[-2,-3,1]=>14
[-2,-3,-1]=>16
[3,1,2]=>3
[3,1,-2]=>5
[3,-1,2]=>9
[3,-1,-2]=>14
[-3,1,2]=>4
[-3,1,-2]=>6
[-3,-1,2]=>11
[-3,-1,-2]=>16
[3,2,1]=>6
[3,2,-1]=>8
[3,-2,1]=>6
[3,-2,-1]=>7
[-3,2,1]=>8
[-3,2,-1]=>10
[-3,-2,1]=>7
[-3,-2,-1]=>8
[1,2,3,4]=>1
[1,2,3,-4]=>2
[1,2,-3,4]=>4
[1,2,-3,-4]=>8
[1,-2,3,4]=>6
[1,-2,3,-4]=>12
[1,-2,-3,4]=>24
[1,-2,-3,-4]=>48
[-1,2,3,4]=>8
[-1,2,3,-4]=>16
[-1,2,-3,4]=>32
[-1,2,-3,-4]=>64
[-1,-2,3,4]=>48
[-1,-2,3,-4]=>96
[-1,-2,-3,4]=>192
[-1,-2,-3,-4]=>384
[1,2,4,3]=>2
[1,2,4,-3]=>3
[1,2,-4,3]=>3
[1,2,-4,-3]=>4
[1,-2,4,3]=>12
[1,-2,4,-3]=>18
[1,-2,-4,3]=>18
[1,-2,-4,-3]=>24
[-1,2,4,3]=>16
[-1,2,4,-3]=>24
[-1,2,-4,3]=>24
[-1,2,-4,-3]=>32
[-1,-2,4,3]=>96
[-1,-2,4,-3]=>144
[-1,-2,-4,3]=>144
[-1,-2,-4,-3]=>192
[1,3,2,4]=>2
[1,3,2,-4]=>4
[1,3,-2,4]=>5
[1,3,-2,-4]=>10
[1,-3,2,4]=>5
[1,-3,2,-4]=>10
[1,-3,-2,4]=>12
[1,-3,-2,-4]=>24
[-1,3,2,4]=>16
[-1,3,2,-4]=>32
[-1,3,-2,4]=>40
[-1,3,-2,-4]=>80
[-1,-3,2,4]=>40
[-1,-3,2,-4]=>80
[-1,-3,-2,4]=>96
[-1,-3,-2,-4]=>192
[1,3,4,2]=>3
[1,3,4,-2]=>4
[1,3,-4,2]=>5
[1,3,-4,-2]=>6
[1,-3,4,2]=>9
[1,-3,4,-2]=>11
[1,-3,-4,2]=>14
[1,-3,-4,-2]=>16
[-1,3,4,2]=>24
[-1,3,4,-2]=>32
[-1,3,-4,2]=>40
[-1,3,-4,-2]=>48
[-1,-3,4,2]=>72
[-1,-3,4,-2]=>88
[-1,-3,-4,2]=>112
[-1,-3,-4,-2]=>128
[1,4,2,3]=>3
[1,4,2,-3]=>5
[1,4,-2,3]=>9
[1,4,-2,-3]=>14
[1,-4,2,3]=>4
[1,-4,2,-3]=>6
[1,-4,-2,3]=>11
[1,-4,-2,-3]=>16
[-1,4,2,3]=>24
[-1,4,2,-3]=>40
[-1,4,-2,3]=>72
[-1,4,-2,-3]=>112
[-1,-4,2,3]=>32
[-1,-4,2,-3]=>48
[-1,-4,-2,3]=>88
[-1,-4,-2,-3]=>128
[1,4,3,2]=>6
[1,4,3,-2]=>8
[1,4,-3,2]=>6
[1,4,-3,-2]=>7
[1,-4,3,2]=>8
[1,-4,3,-2]=>10
[1,-4,-3,2]=>7
[1,-4,-3,-2]=>8
[-1,4,3,2]=>48
[-1,4,3,-2]=>64
[-1,4,-3,2]=>48
[-1,4,-3,-2]=>56
[-1,-4,3,2]=>64
[-1,-4,3,-2]=>80
[-1,-4,-3,2]=>56
[-1,-4,-3,-2]=>64
[2,1,3,4]=>2
[2,1,3,-4]=>4
[2,1,-3,4]=>8
[2,1,-3,-4]=>16
[2,-1,3,4]=>7
[2,-1,3,-4]=>14
[2,-1,-3,4]=>28
[2,-1,-3,-4]=>56
[-2,1,3,4]=>7
[-2,1,3,-4]=>14
[-2,1,-3,4]=>28
[-2,1,-3,-4]=>56
[-2,-1,3,4]=>24
[-2,-1,3,-4]=>48
[-2,-1,-3,4]=>96
[-2,-1,-3,-4]=>192
[2,1,4,3]=>4
[2,1,4,-3]=>6
[2,1,-4,3]=>6
[2,1,-4,-3]=>8
[2,-1,4,3]=>14
[2,-1,4,-3]=>21
[2,-1,-4,3]=>21
[2,-1,-4,-3]=>28
[-2,1,4,3]=>14
[-2,1,4,-3]=>21
[-2,1,-4,3]=>21
[-2,1,-4,-3]=>28
[-2,-1,4,3]=>48
[-2,-1,4,-3]=>72
[-2,-1,-4,3]=>72
[-2,-1,-4,-3]=>96
[2,3,1,4]=>3
[2,3,1,-4]=>6
[2,3,-1,4]=>6
[2,3,-1,-4]=>12
[2,-3,1,4]=>9
[2,-3,1,-4]=>18
[2,-3,-1,4]=>16
[2,-3,-1,-4]=>32
[-2,3,1,4]=>13
[-2,3,1,-4]=>26
[-2,3,-1,4]=>23
[-2,3,-1,-4]=>46
[-2,-3,1,4]=>34
[-2,-3,1,-4]=>68
[-2,-3,-1,4]=>64
[-2,-3,-1,-4]=>128
[2,3,4,1]=>4
[2,3,4,-1]=>5
[2,3,-4,1]=>7
[2,3,-4,-1]=>8
[2,-3,4,1]=>13
[2,-3,4,-1]=>15
[2,-3,-4,1]=>22
[2,-3,-4,-1]=>24
[-2,3,4,1]=>18
[-2,3,4,-1]=>21
[-2,3,-4,1]=>31
[-2,3,-4,-1]=>34
[-2,-3,4,1]=>56
[-2,-3,4,-1]=>62
[-2,-3,-4,1]=>90
[-2,-3,-4,-1]=>96
[2,4,1,3]=>5
[2,4,1,-3]=>8
[2,4,-1,3]=>11
[2,4,-1,-3]=>17
[2,-4,1,3]=>7
[2,-4,1,-3]=>10
[2,-4,-1,3]=>14
[2,-4,-1,-3]=>20
[-2,4,1,3]=>20
[-2,4,1,-3]=>33
[-2,4,-1,3]=>44
[-2,4,-1,-3]=>67
[-2,-4,1,3]=>27
[-2,-4,1,-3]=>40
[-2,-4,-1,3]=>57
[-2,-4,-1,-3]=>80
[2,4,3,1]=>8
[2,4,3,-1]=>10
[2,4,-3,1]=>9
[2,4,-3,-1]=>10
[2,-4,3,1]=>11
[2,-4,3,-1]=>13
[2,-4,-3,1]=>11
[2,-4,-3,-1]=>12
[-2,4,3,1]=>36
[-2,4,3,-1]=>42
[-2,4,-3,1]=>38
[-2,4,-3,-1]=>41
[-2,-4,3,1]=>49
[-2,-4,3,-1]=>55
[-2,-4,-3,1]=>45
[-2,-4,-3,-1]=>48
[3,1,2,4]=>3
[3,1,2,-4]=>6
[3,1,-2,4]=>9
[3,1,-2,-4]=>18
[3,-1,2,4]=>13
[3,-1,2,-4]=>26
[3,-1,-2,4]=>34
[3,-1,-2,-4]=>68
[-3,1,2,4]=>6
[-3,1,2,-4]=>12
[-3,1,-2,4]=>16
[-3,1,-2,-4]=>32
[-3,-1,2,4]=>23
[-3,-1,2,-4]=>46
[-3,-1,-2,4]=>64
[-3,-1,-2,-4]=>128
[3,1,4,2]=>5
[3,1,4,-2]=>7
[3,1,-4,2]=>8
[3,1,-4,-2]=>10
[3,-1,4,2]=>20
[3,-1,4,-2]=>27
[3,-1,-4,2]=>33
[3,-1,-4,-2]=>40
[-3,1,4,2]=>11
[-3,1,4,-2]=>14
[-3,1,-4,2]=>17
[-3,1,-4,-2]=>20
[-3,-1,4,2]=>44
[-3,-1,4,-2]=>57
[-3,-1,-4,2]=>67
[-3,-1,-4,-2]=>80
[3,2,1,4]=>6
[3,2,1,-4]=>12
[3,2,-1,4]=>12
[3,2,-1,-4]=>24
[3,-2,1,4]=>10
[3,-2,1,-4]=>20
[3,-2,-1,4]=>17
[3,-2,-1,-4]=>34
[-3,2,1,4]=>12
[-3,2,1,-4]=>24
[-3,2,-1,4]=>22
[-3,2,-1,-4]=>44
[-3,-2,1,4]=>17
[-3,-2,1,-4]=>34
[-3,-2,-1,4]=>32
[-3,-2,-1,-4]=>64
[3,2,4,1]=>8
[3,2,4,-1]=>10
[3,2,-4,1]=>14
[3,2,-4,-1]=>16
[3,-2,4,1]=>14
[3,-2,4,-1]=>16
[3,-2,-4,1]=>24
[3,-2,-4,-1]=>26
[-3,2,4,1]=>17
[-3,2,4,-1]=>20
[-3,2,-4,1]=>29
[-3,2,-4,-1]=>32
[-3,-2,4,1]=>28
[-3,-2,4,-1]=>31
[-3,-2,-4,1]=>45
[-3,-2,-4,-1]=>48
[3,4,1,2]=>6
[3,4,1,-2]=>9
[3,4,-1,2]=>16
[3,4,-1,-2]=>22
[3,-4,1,2]=>9
[3,-4,1,-2]=>12
[3,-4,-1,2]=>22
[3,-4,-1,-2]=>28
[-3,4,1,2]=>16
[-3,4,1,-2]=>22
[-3,4,-1,2]=>40
[-3,4,-1,-2]=>52
[-3,-4,1,2]=>22
[-3,-4,1,-2]=>28
[-3,-4,-1,2]=>52
[-3,-4,-1,-2]=>64
[3,4,2,1]=>12
[3,4,2,-1]=>15
[3,4,-2,1]=>10
[3,4,-2,-1]=>11
[3,-4,2,1]=>18
[3,-4,2,-1]=>21
[3,-4,-2,1]=>13
[3,-4,-2,-1]=>14
[-3,4,2,1]=>32
[-3,4,2,-1]=>38
[-3,4,-2,1]=>24
[-3,4,-2,-1]=>26
[-3,-4,2,1]=>44
[-3,-4,2,-1]=>50
[-3,-4,-2,1]=>30
[-3,-4,-2,-1]=>32
[4,1,2,3]=>4
[4,1,2,-3]=>7
[4,1,-2,3]=>13
[4,1,-2,-3]=>22
[4,-1,2,3]=>18
[4,-1,2,-3]=>31
[4,-1,-2,3]=>56
[4,-1,-2,-3]=>90
[-4,1,2,3]=>5
[-4,1,2,-3]=>8
[-4,1,-2,3]=>15
[-4,1,-2,-3]=>24
[-4,-1,2,3]=>21
[-4,-1,2,-3]=>34
[-4,-1,-2,3]=>62
[-4,-1,-2,-3]=>96
[4,1,3,2]=>8
[4,1,3,-2]=>11
[4,1,-3,2]=>9
[4,1,-3,-2]=>11
[4,-1,3,2]=>36
[4,-1,3,-2]=>49
[4,-1,-3,2]=>38
[4,-1,-3,-2]=>45
[-4,1,3,2]=>10
[-4,1,3,-2]=>13
[-4,1,-3,2]=>10
[-4,1,-3,-2]=>12
[-4,-1,3,2]=>42
[-4,-1,3,-2]=>55
[-4,-1,-3,2]=>41
[-4,-1,-3,-2]=>48
[4,2,1,3]=>8
[4,2,1,-3]=>14
[4,2,-1,3]=>17
[4,2,-1,-3]=>29
[4,-2,1,3]=>14
[4,-2,1,-3]=>24
[4,-2,-1,3]=>28
[4,-2,-1,-3]=>45
[-4,2,1,3]=>10
[-4,2,1,-3]=>16
[-4,2,-1,3]=>20
[-4,2,-1,-3]=>32
[-4,-2,1,3]=>16
[-4,-2,1,-3]=>26
[-4,-2,-1,3]=>31
[-4,-2,-1,-3]=>48
[4,2,3,1]=>12
[4,2,3,-1]=>15
[4,2,-3,1]=>16
[4,2,-3,-1]=>18
[4,-2,3,1]=>24
[4,-2,3,-1]=>27
[4,-2,-3,1]=>28
[4,-2,-3,-1]=>30
[-4,2,3,1]=>15
[-4,2,3,-1]=>18
[-4,2,-3,1]=>18
[-4,2,-3,-1]=>20
[-4,-2,3,1]=>27
[-4,-2,3,-1]=>30
[-4,-2,-3,1]=>30
[-4,-2,-3,-1]=>32
[4,3,1,2]=>12
[4,3,1,-2]=>18
[4,3,-1,2]=>32
[4,3,-1,-2]=>44
[4,-3,1,2]=>10
[4,-3,1,-2]=>13
[4,-3,-1,2]=>24
[4,-3,-1,-2]=>30
[-4,3,1,2]=>15
[-4,3,1,-2]=>21
[-4,3,-1,2]=>38
[-4,3,-1,-2]=>50
[-4,-3,1,2]=>11
[-4,-3,1,-2]=>14
[-4,-3,-1,2]=>26
[-4,-3,-1,-2]=>32
[4,3,2,1]=>24
[4,3,2,-1]=>30
[4,3,-2,1]=>20
[4,3,-2,-1]=>22
[4,-3,2,1]=>20
[4,-3,2,-1]=>23
[4,-3,-2,1]=>14
[4,-3,-2,-1]=>15
[-4,3,2,1]=>30
[-4,3,2,-1]=>36
[-4,3,-2,1]=>23
[-4,3,-2,-1]=>25
[-4,-3,2,1]=>22
[-4,-3,2,-1]=>25
[-4,-3,-2,1]=>15
[-4,-3,-2,-1]=>16
[1,2,3,4,5]=>1
[1,2,3,4,-5]=>2
[1,2,3,-4,5]=>4
[1,2,3,-4,-5]=>8
[1,2,-3,4,5]=>6
[1,2,-3,4,-5]=>12
[1,2,-3,-4,5]=>24
[1,2,-3,-4,-5]=>48
[1,-2,3,4,5]=>8
[1,-2,3,4,-5]=>16
[1,-2,3,-4,5]=>32
[1,-2,3,-4,-5]=>64
[1,-2,-3,4,5]=>48
[1,-2,-3,4,-5]=>96
[1,-2,-3,-4,5]=>192
[1,-2,-3,-4,-5]=>384
[-1,2,3,4,5]=>10
[-1,2,3,4,-5]=>20
[-1,2,3,-4,5]=>40
[-1,2,3,-4,-5]=>80
[-1,2,-3,4,5]=>60
[-1,2,-3,4,-5]=>120
[-1,2,-3,-4,5]=>240
[-1,2,-3,-4,-5]=>480
[-1,-2,3,4,5]=>80
[-1,-2,3,4,-5]=>160
[-1,-2,3,-4,5]=>320
[-1,-2,3,-4,-5]=>640
[-1,-2,-3,4,5]=>480
[-1,-2,-3,4,-5]=>960
[-1,-2,-3,-4,5]=>1920
[-1,-2,-3,-4,-5]=>3840
[1,2,3,5,4]=>2
[1,2,3,5,-4]=>3
[1,2,3,-5,4]=>3
[1,2,3,-5,-4]=>4
[1,2,-3,5,4]=>12
[1,2,-3,5,-4]=>18
[1,2,-3,-5,4]=>18
[1,2,-3,-5,-4]=>24
[1,-2,3,5,4]=>16
[1,-2,3,5,-4]=>24
[1,-2,3,-5,4]=>24
[1,-2,3,-5,-4]=>32
[1,-2,-3,5,4]=>96
[1,-2,-3,5,-4]=>144
[1,-2,-3,-5,4]=>144
[1,-2,-3,-5,-4]=>192
[-1,2,3,5,4]=>20
[-1,2,3,5,-4]=>30
[-1,2,3,-5,4]=>30
[-1,2,3,-5,-4]=>40
[-1,2,-3,5,4]=>120
[-1,2,-3,5,-4]=>180
[-1,2,-3,-5,4]=>180
[-1,2,-3,-5,-4]=>240
[-1,-2,3,5,4]=>160
[-1,-2,3,5,-4]=>240
[-1,-2,3,-5,4]=>240
[-1,-2,3,-5,-4]=>320
[-1,-2,-3,5,4]=>960
[-1,-2,-3,5,-4]=>1440
[-1,-2,-3,-5,4]=>1440
[-1,-2,-3,-5,-4]=>1920
[1,2,4,3,5]=>2
[1,2,4,3,-5]=>4
[1,2,4,-3,5]=>5
[1,2,4,-3,-5]=>10
[1,2,-4,3,5]=>5
[1,2,-4,3,-5]=>10
[1,2,-4,-3,5]=>12
[1,2,-4,-3,-5]=>24
[1,-2,4,3,5]=>16
[1,-2,4,3,-5]=>32
[1,-2,4,-3,5]=>40
[1,-2,4,-3,-5]=>80
[1,-2,-4,3,5]=>40
[1,-2,-4,3,-5]=>80
[1,-2,-4,-3,5]=>96
[1,-2,-4,-3,-5]=>192
[-1,2,4,3,5]=>20
[-1,2,4,3,-5]=>40
[-1,2,4,-3,5]=>50
[-1,2,4,-3,-5]=>100
[-1,2,-4,3,5]=>50
[-1,2,-4,3,-5]=>100
[-1,2,-4,-3,5]=>120
[-1,2,-4,-3,-5]=>240
[-1,-2,4,3,5]=>160
[-1,-2,4,3,-5]=>320
[-1,-2,4,-3,5]=>400
[-1,-2,4,-3,-5]=>800
[-1,-2,-4,3,5]=>400
[-1,-2,-4,3,-5]=>800
[-1,-2,-4,-3,5]=>960
[-1,-2,-4,-3,-5]=>1920
[1,2,4,5,3]=>3
[1,2,4,5,-3]=>4
[1,2,4,-5,3]=>5
[1,2,4,-5,-3]=>6
[1,2,-4,5,3]=>9
[1,2,-4,5,-3]=>11
[1,2,-4,-5,3]=>14
[1,2,-4,-5,-3]=>16
[1,-2,4,5,3]=>24
[1,-2,4,5,-3]=>32
[1,-2,4,-5,3]=>40
[1,-2,4,-5,-3]=>48
[1,-2,-4,5,3]=>72
[1,-2,-4,5,-3]=>88
[1,-2,-4,-5,3]=>112
[1,-2,-4,-5,-3]=>128
[-1,2,4,5,3]=>30
[-1,2,4,5,-3]=>40
[-1,2,4,-5,3]=>50
[-1,2,4,-5,-3]=>60
[-1,2,-4,5,3]=>90
[-1,2,-4,5,-3]=>110
[-1,2,-4,-5,3]=>140
[-1,2,-4,-5,-3]=>160
[-1,-2,4,5,3]=>240
[-1,-2,4,5,-3]=>320
[-1,-2,4,-5,3]=>400
[-1,-2,4,-5,-3]=>480
[-1,-2,-4,5,3]=>720
[-1,-2,-4,5,-3]=>880
[-1,-2,-4,-5,3]=>1120
[-1,-2,-4,-5,-3]=>1280
[1,2,5,3,4]=>3
[1,2,5,3,-4]=>5
[1,2,5,-3,4]=>9
[1,2,5,-3,-4]=>14
[1,2,-5,3,4]=>4
[1,2,-5,3,-4]=>6
[1,2,-5,-3,4]=>11
[1,2,-5,-3,-4]=>16
[1,-2,5,3,4]=>24
[1,-2,5,3,-4]=>40
[1,-2,5,-3,4]=>72
[1,-2,5,-3,-4]=>112
[1,-2,-5,3,4]=>32
[1,-2,-5,3,-4]=>48
[1,-2,-5,-3,4]=>88
[1,-2,-5,-3,-4]=>128
[-1,2,5,3,4]=>30
[-1,2,5,3,-4]=>50
[-1,2,5,-3,4]=>90
[-1,2,5,-3,-4]=>140
[-1,2,-5,3,4]=>40
[-1,2,-5,3,-4]=>60
[-1,2,-5,-3,4]=>110
[-1,2,-5,-3,-4]=>160
[-1,-2,5,3,4]=>240
[-1,-2,5,3,-4]=>400
[-1,-2,5,-3,4]=>720
[-1,-2,5,-3,-4]=>1120
[-1,-2,-5,3,4]=>320
[-1,-2,-5,3,-4]=>480
[-1,-2,-5,-3,4]=>880
[-1,-2,-5,-3,-4]=>1280
[1,2,5,4,3]=>6
[1,2,5,4,-3]=>8
[1,2,5,-4,3]=>6
[1,2,5,-4,-3]=>7
[1,2,-5,4,3]=>8
[1,2,-5,4,-3]=>10
[1,2,-5,-4,3]=>7
[1,2,-5,-4,-3]=>8
[1,-2,5,4,3]=>48
[1,-2,5,4,-3]=>64
[1,-2,5,-4,3]=>48
[1,-2,5,-4,-3]=>56
[1,-2,-5,4,3]=>64
[1,-2,-5,4,-3]=>80
[1,-2,-5,-4,3]=>56
[1,-2,-5,-4,-3]=>64
[-1,2,5,4,3]=>60
[-1,2,5,4,-3]=>80
[-1,2,5,-4,3]=>60
[-1,2,5,-4,-3]=>70
[-1,2,-5,4,3]=>80
[-1,2,-5,4,-3]=>100
[-1,2,-5,-4,3]=>70
[-1,2,-5,-4,-3]=>80
[-1,-2,5,4,3]=>480
[-1,-2,5,4,-3]=>640
[-1,-2,5,-4,3]=>480
[-1,-2,5,-4,-3]=>560
[-1,-2,-5,4,3]=>640
[-1,-2,-5,4,-3]=>800
[-1,-2,-5,-4,3]=>560
[-1,-2,-5,-4,-3]=>640
[1,3,2,4,5]=>2
[1,3,2,4,-5]=>4
[1,3,2,-4,5]=>8
[1,3,2,-4,-5]=>16
[1,3,-2,4,5]=>7
[1,3,-2,4,-5]=>14
[1,3,-2,-4,5]=>28
[1,3,-2,-4,-5]=>56
[1,-3,2,4,5]=>7
[1,-3,2,4,-5]=>14
[1,-3,2,-4,5]=>28
[1,-3,2,-4,-5]=>56
[1,-3,-2,4,5]=>24
[1,-3,-2,4,-5]=>48
[1,-3,-2,-4,5]=>96
[1,-3,-2,-4,-5]=>192
[-1,3,2,4,5]=>20
[-1,3,2,4,-5]=>40
[-1,3,2,-4,5]=>80
[-1,3,2,-4,-5]=>160
[-1,3,-2,4,5]=>70
[-1,3,-2,4,-5]=>140
[-1,3,-2,-4,5]=>280
[-1,3,-2,-4,-5]=>560
[-1,-3,2,4,5]=>70
[-1,-3,2,4,-5]=>140
[-1,-3,2,-4,5]=>280
[-1,-3,2,-4,-5]=>560
[-1,-3,-2,4,5]=>240
[-1,-3,-2,4,-5]=>480
[-1,-3,-2,-4,5]=>960
[-1,-3,-2,-4,-5]=>1920
[1,3,2,5,4]=>4
[1,3,2,5,-4]=>6
[1,3,2,-5,4]=>6
[1,3,2,-5,-4]=>8
[1,3,-2,5,4]=>14
[1,3,-2,5,-4]=>21
[1,3,-2,-5,4]=>21
[1,3,-2,-5,-4]=>28
[1,-3,2,5,4]=>14
[1,-3,2,5,-4]=>21
[1,-3,2,-5,4]=>21
[1,-3,2,-5,-4]=>28
[1,-3,-2,5,4]=>48
[1,-3,-2,5,-4]=>72
[1,-3,-2,-5,4]=>72
[1,-3,-2,-5,-4]=>96
[-1,3,2,5,4]=>40
[-1,3,2,5,-4]=>60
[-1,3,2,-5,4]=>60
[-1,3,2,-5,-4]=>80
[-1,3,-2,5,4]=>140
[-1,3,-2,5,-4]=>210
[-1,3,-2,-5,4]=>210
[-1,3,-2,-5,-4]=>280
[-1,-3,2,5,4]=>140
[-1,-3,2,5,-4]=>210
[-1,-3,2,-5,4]=>210
[-1,-3,2,-5,-4]=>280
[-1,-3,-2,5,4]=>480
[-1,-3,-2,5,-4]=>720
[-1,-3,-2,-5,4]=>720
[-1,-3,-2,-5,-4]=>960
[1,3,4,2,5]=>3
[1,3,4,2,-5]=>6
[1,3,4,-2,5]=>6
[1,3,4,-2,-5]=>12
[1,3,-4,2,5]=>9
[1,3,-4,2,-5]=>18
[1,3,-4,-2,5]=>16
[1,3,-4,-2,-5]=>32
[1,-3,4,2,5]=>13
[1,-3,4,2,-5]=>26
[1,-3,4,-2,5]=>23
[1,-3,4,-2,-5]=>46
[1,-3,-4,2,5]=>34
[1,-3,-4,2,-5]=>68
[1,-3,-4,-2,5]=>64
[1,-3,-4,-2,-5]=>128
[-1,3,4,2,5]=>30
[-1,3,4,2,-5]=>60
[-1,3,4,-2,5]=>60
[-1,3,4,-2,-5]=>120
[-1,3,-4,2,5]=>90
[-1,3,-4,2,-5]=>180
[-1,3,-4,-2,5]=>160
[-1,3,-4,-2,-5]=>320
[-1,-3,4,2,5]=>130
[-1,-3,4,2,-5]=>260
[-1,-3,4,-2,5]=>230
[-1,-3,4,-2,-5]=>460
[-1,-3,-4,2,5]=>340
[-1,-3,-4,2,-5]=>680
[-1,-3,-4,-2,5]=>640
[-1,-3,-4,-2,-5]=>1280
[1,3,4,5,2]=>4
[1,3,4,5,-2]=>5
[1,3,4,-5,2]=>7
[1,3,4,-5,-2]=>8
[1,3,-4,5,2]=>13
[1,3,-4,5,-2]=>15
[1,3,-4,-5,2]=>22
[1,3,-4,-5,-2]=>24
[1,-3,4,5,2]=>18
[1,-3,4,5,-2]=>21
[1,-3,4,-5,2]=>31
[1,-3,4,-5,-2]=>34
[1,-3,-4,5,2]=>56
[1,-3,-4,5,-2]=>62
[1,-3,-4,-5,2]=>90
[1,-3,-4,-5,-2]=>96
[-1,3,4,5,2]=>40
[-1,3,4,5,-2]=>50
[-1,3,4,-5,2]=>70
[-1,3,4,-5,-2]=>80
[-1,3,-4,5,2]=>130
[-1,3,-4,5,-2]=>150
[-1,3,-4,-5,2]=>220
[-1,3,-4,-5,-2]=>240
[-1,-3,4,5,2]=>180
[-1,-3,4,5,-2]=>210
[-1,-3,4,-5,2]=>310
[-1,-3,4,-5,-2]=>340
[-1,-3,-4,5,2]=>560
[-1,-3,-4,5,-2]=>620
[-1,-3,-4,-5,2]=>900
[-1,-3,-4,-5,-2]=>960
[1,3,5,2,4]=>5
[1,3,5,2,-4]=>8
[1,3,5,-2,4]=>11
[1,3,5,-2,-4]=>17
[1,3,-5,2,4]=>7
[1,3,-5,2,-4]=>10
[1,3,-5,-2,4]=>14
[1,3,-5,-2,-4]=>20
[1,-3,5,2,4]=>20
[1,-3,5,2,-4]=>33
[1,-3,5,-2,4]=>44
[1,-3,5,-2,-4]=>67
[1,-3,-5,2,4]=>27
[1,-3,-5,2,-4]=>40
[1,-3,-5,-2,4]=>57
[1,-3,-5,-2,-4]=>80
[-1,3,5,2,4]=>50
[-1,3,5,2,-4]=>80
[-1,3,5,-2,4]=>110
[-1,3,5,-2,-4]=>170
[-1,3,-5,2,4]=>70
[-1,3,-5,2,-4]=>100
[-1,3,-5,-2,4]=>140
[-1,3,-5,-2,-4]=>200
[-1,-3,5,2,4]=>200
[-1,-3,5,2,-4]=>330
[-1,-3,5,-2,4]=>440
[-1,-3,5,-2,-4]=>670
[-1,-3,-5,2,4]=>270
[-1,-3,-5,2,-4]=>400
[-1,-3,-5,-2,4]=>570
[-1,-3,-5,-2,-4]=>800
[1,3,5,4,2]=>8
[1,3,5,4,-2]=>10
[1,3,5,-4,2]=>9
[1,3,5,-4,-2]=>10
[1,3,-5,4,2]=>11
[1,3,-5,4,-2]=>13
[1,3,-5,-4,2]=>11
[1,3,-5,-4,-2]=>12
[1,-3,5,4,2]=>36
[1,-3,5,4,-2]=>42
[1,-3,5,-4,2]=>38
[1,-3,5,-4,-2]=>41
[1,-3,-5,4,2]=>49
[1,-3,-5,4,-2]=>55
[1,-3,-5,-4,2]=>45
[1,-3,-5,-4,-2]=>48
[-1,3,5,4,2]=>80
[-1,3,5,4,-2]=>100
[-1,3,5,-4,2]=>90
[-1,3,5,-4,-2]=>100
[-1,3,-5,4,2]=>110
[-1,3,-5,4,-2]=>130
[-1,3,-5,-4,2]=>110
[-1,3,-5,-4,-2]=>120
[-1,-3,5,4,2]=>360
[-1,-3,5,4,-2]=>420
[-1,-3,5,-4,2]=>380
[-1,-3,5,-4,-2]=>410
[-1,-3,-5,4,2]=>490
[-1,-3,-5,4,-2]=>550
[-1,-3,-5,-4,2]=>450
[-1,-3,-5,-4,-2]=>480
[1,4,2,3,5]=>3
[1,4,2,3,-5]=>6
[1,4,2,-3,5]=>9
[1,4,2,-3,-5]=>18
[1,4,-2,3,5]=>13
[1,4,-2,3,-5]=>26
[1,4,-2,-3,5]=>34
[1,4,-2,-3,-5]=>68
[1,-4,2,3,5]=>6
[1,-4,2,3,-5]=>12
[1,-4,2,-3,5]=>16
[1,-4,2,-3,-5]=>32
[1,-4,-2,3,5]=>23
[1,-4,-2,3,-5]=>46
[1,-4,-2,-3,5]=>64
[1,-4,-2,-3,-5]=>128
[-1,4,2,3,5]=>30
[-1,4,2,3,-5]=>60
[-1,4,2,-3,5]=>90
[-1,4,2,-3,-5]=>180
[-1,4,-2,3,5]=>130
[-1,4,-2,3,-5]=>260
[-1,4,-2,-3,5]=>340
[-1,4,-2,-3,-5]=>680
[-1,-4,2,3,5]=>60
[-1,-4,2,3,-5]=>120
[-1,-4,2,-3,5]=>160
[-1,-4,2,-3,-5]=>320
[-1,-4,-2,3,5]=>230
[-1,-4,-2,3,-5]=>460
[-1,-4,-2,-3,5]=>640
[-1,-4,-2,-3,-5]=>1280
[1,4,2,5,3]=>5
[1,4,2,5,-3]=>7
[1,4,2,-5,3]=>8
[1,4,2,-5,-3]=>10
[1,4,-2,5,3]=>20
[1,4,-2,5,-3]=>27
[1,4,-2,-5,3]=>33
[1,4,-2,-5,-3]=>40
[1,-4,2,5,3]=>11
[1,-4,2,5,-3]=>14
[1,-4,2,-5,3]=>17
[1,-4,2,-5,-3]=>20
[1,-4,-2,5,3]=>44
[1,-4,-2,5,-3]=>57
[1,-4,-2,-5,3]=>67
[1,-4,-2,-5,-3]=>80
[-1,4,2,5,3]=>50
[-1,4,2,5,-3]=>70
[-1,4,2,-5,3]=>80
[-1,4,2,-5,-3]=>100
[-1,4,-2,5,3]=>200
[-1,4,-2,5,-3]=>270
[-1,4,-2,-5,3]=>330
[-1,4,-2,-5,-3]=>400
[-1,-4,2,5,3]=>110
[-1,-4,2,5,-3]=>140
[-1,-4,2,-5,3]=>170
[-1,-4,2,-5,-3]=>200
[-1,-4,-2,5,3]=>440
[-1,-4,-2,5,-3]=>570
[-1,-4,-2,-5,3]=>670
[-1,-4,-2,-5,-3]=>800
[1,4,3,2,5]=>6
[1,4,3,2,-5]=>12
[1,4,3,-2,5]=>12
[1,4,3,-2,-5]=>24
[1,4,-3,2,5]=>10
[1,4,-3,2,-5]=>20
[1,4,-3,-2,5]=>17
[1,4,-3,-2,-5]=>34
[1,-4,3,2,5]=>12
[1,-4,3,2,-5]=>24
[1,-4,3,-2,5]=>22
[1,-4,3,-2,-5]=>44
[1,-4,-3,2,5]=>17
[1,-4,-3,2,-5]=>34
[1,-4,-3,-2,5]=>32
[1,-4,-3,-2,-5]=>64
[-1,4,3,2,5]=>60
[-1,4,3,2,-5]=>120
[-1,4,3,-2,5]=>120
[-1,4,3,-2,-5]=>240
[-1,4,-3,2,5]=>100
[-1,4,-3,2,-5]=>200
[-1,4,-3,-2,5]=>170
[-1,4,-3,-2,-5]=>340
[-1,-4,3,2,5]=>120
[-1,-4,3,2,-5]=>240
[-1,-4,3,-2,5]=>220
[-1,-4,3,-2,-5]=>440
[-1,-4,-3,2,5]=>170
[-1,-4,-3,2,-5]=>340
[-1,-4,-3,-2,5]=>320
[-1,-4,-3,-2,-5]=>640
[1,4,3,5,2]=>8
[1,4,3,5,-2]=>10
[1,4,3,-5,2]=>14
[1,4,3,-5,-2]=>16
[1,4,-3,5,2]=>14
[1,4,-3,5,-2]=>16
[1,4,-3,-5,2]=>24
[1,4,-3,-5,-2]=>26
[1,-4,3,5,2]=>17
[1,-4,3,5,-2]=>20
[1,-4,3,-5,2]=>29
[1,-4,3,-5,-2]=>32
[1,-4,-3,5,2]=>28
[1,-4,-3,5,-2]=>31
[1,-4,-3,-5,2]=>45
[1,-4,-3,-5,-2]=>48
[-1,4,3,5,2]=>80
[-1,4,3,5,-2]=>100
[-1,4,3,-5,2]=>140
[-1,4,3,-5,-2]=>160
[-1,4,-3,5,2]=>140
[-1,4,-3,5,-2]=>160
[-1,4,-3,-5,2]=>240
[-1,4,-3,-5,-2]=>260
[-1,-4,3,5,2]=>170
[-1,-4,3,5,-2]=>200
[-1,-4,3,-5,2]=>290
[-1,-4,3,-5,-2]=>320
[-1,-4,-3,5,2]=>280
[-1,-4,-3,5,-2]=>310
[-1,-4,-3,-5,2]=>450
[-1,-4,-3,-5,-2]=>480
[1,4,5,2,3]=>6
[1,4,5,2,-3]=>9
[1,4,5,-2,3]=>16
[1,4,5,-2,-3]=>22
[1,4,-5,2,3]=>9
[1,4,-5,2,-3]=>12
[1,4,-5,-2,3]=>22
[1,4,-5,-2,-3]=>28
[1,-4,5,2,3]=>16
[1,-4,5,2,-3]=>22
[1,-4,5,-2,3]=>40
[1,-4,5,-2,-3]=>52
[1,-4,-5,2,3]=>22
[1,-4,-5,2,-3]=>28
[1,-4,-5,-2,3]=>52
[1,-4,-5,-2,-3]=>64
[-1,4,5,2,3]=>60
[-1,4,5,2,-3]=>90
[-1,4,5,-2,3]=>160
[-1,4,5,-2,-3]=>220
[-1,4,-5,2,3]=>90
[-1,4,-5,2,-3]=>120
[-1,4,-5,-2,3]=>220
[-1,4,-5,-2,-3]=>280
[-1,-4,5,2,3]=>160
[-1,-4,5,2,-3]=>220
[-1,-4,5,-2,3]=>400
[-1,-4,5,-2,-3]=>520
[-1,-4,-5,2,3]=>220
[-1,-4,-5,2,-3]=>280
[-1,-4,-5,-2,3]=>520
[-1,-4,-5,-2,-3]=>640
[1,4,5,3,2]=>12
[1,4,5,3,-2]=>15
[1,4,5,-3,2]=>10
[1,4,5,-3,-2]=>11
[1,4,-5,3,2]=>18
[1,4,-5,3,-2]=>21
[1,4,-5,-3,2]=>13
[1,4,-5,-3,-2]=>14
[1,-4,5,3,2]=>32
[1,-4,5,3,-2]=>38
[1,-4,5,-3,2]=>24
[1,-4,5,-3,-2]=>26
[1,-4,-5,3,2]=>44
[1,-4,-5,3,-2]=>50
[1,-4,-5,-3,2]=>30
[1,-4,-5,-3,-2]=>32
[-1,4,5,3,2]=>120
[-1,4,5,3,-2]=>150
[-1,4,5,-3,2]=>100
[-1,4,5,-3,-2]=>110
[-1,4,-5,3,2]=>180
[-1,4,-5,3,-2]=>210
[-1,4,-5,-3,2]=>130
[-1,4,-5,-3,-2]=>140
[-1,-4,5,3,2]=>320
[-1,-4,5,3,-2]=>380
[-1,-4,5,-3,2]=>240
[-1,-4,5,-3,-2]=>260
[-1,-4,-5,3,2]=>440
[-1,-4,-5,3,-2]=>500
[-1,-4,-5,-3,2]=>300
[-1,-4,-5,-3,-2]=>320
[1,5,2,3,4]=>4
[1,5,2,3,-4]=>7
[1,5,2,-3,4]=>13
[1,5,2,-3,-4]=>22
[1,5,-2,3,4]=>18
[1,5,-2,3,-4]=>31
[1,5,-2,-3,4]=>56
[1,5,-2,-3,-4]=>90
[1,-5,2,3,4]=>5
[1,-5,2,3,-4]=>8
[1,-5,2,-3,4]=>15
[1,-5,2,-3,-4]=>24
[1,-5,-2,3,4]=>21
[1,-5,-2,3,-4]=>34
[1,-5,-2,-3,4]=>62
[1,-5,-2,-3,-4]=>96
[-1,5,2,3,4]=>40
[-1,5,2,3,-4]=>70
[-1,5,2,-3,4]=>130
[-1,5,2,-3,-4]=>220
[-1,5,-2,3,4]=>180
[-1,5,-2,3,-4]=>310
[-1,5,-2,-3,4]=>560
[-1,5,-2,-3,-4]=>900
[-1,-5,2,3,4]=>50
[-1,-5,2,3,-4]=>80
[-1,-5,2,-3,4]=>150
[-1,-5,2,-3,-4]=>240
[-1,-5,-2,3,4]=>210
[-1,-5,-2,3,-4]=>340
[-1,-5,-2,-3,4]=>620
[-1,-5,-2,-3,-4]=>960
[1,5,2,4,3]=>8
[1,5,2,4,-3]=>11
[1,5,2,-4,3]=>9
[1,5,2,-4,-3]=>11
[1,5,-2,4,3]=>36
[1,5,-2,4,-3]=>49
[1,5,-2,-4,3]=>38
[1,5,-2,-4,-3]=>45
[1,-5,2,4,3]=>10
[1,-5,2,4,-3]=>13
[1,-5,2,-4,3]=>10
[1,-5,2,-4,-3]=>12
[1,-5,-2,4,3]=>42
[1,-5,-2,4,-3]=>55
[1,-5,-2,-4,3]=>41
[1,-5,-2,-4,-3]=>48
[-1,5,2,4,3]=>80
[-1,5,2,4,-3]=>110
[-1,5,2,-4,3]=>90
[-1,5,2,-4,-3]=>110
[-1,5,-2,4,3]=>360
[-1,5,-2,4,-3]=>490
[-1,5,-2,-4,3]=>380
[-1,5,-2,-4,-3]=>450
[-1,-5,2,4,3]=>100
[-1,-5,2,4,-3]=>130
[-1,-5,2,-4,3]=>100
[-1,-5,2,-4,-3]=>120
[-1,-5,-2,4,3]=>420
[-1,-5,-2,4,-3]=>550
[-1,-5,-2,-4,3]=>410
[-1,-5,-2,-4,-3]=>480
[1,5,3,2,4]=>8
[1,5,3,2,-4]=>14
[1,5,3,-2,4]=>17
[1,5,3,-2,-4]=>29
[1,5,-3,2,4]=>14
[1,5,-3,2,-4]=>24
[1,5,-3,-2,4]=>28
[1,5,-3,-2,-4]=>45
[1,-5,3,2,4]=>10
[1,-5,3,2,-4]=>16
[1,-5,3,-2,4]=>20
[1,-5,3,-2,-4]=>32
[1,-5,-3,2,4]=>16
[1,-5,-3,2,-4]=>26
[1,-5,-3,-2,4]=>31
[1,-5,-3,-2,-4]=>48
[-1,5,3,2,4]=>80
[-1,5,3,2,-4]=>140
[-1,5,3,-2,4]=>170
[-1,5,3,-2,-4]=>290
[-1,5,-3,2,4]=>140
[-1,5,-3,2,-4]=>240
[-1,5,-3,-2,4]=>280
[-1,5,-3,-2,-4]=>450
[-1,-5,3,2,4]=>100
[-1,-5,3,2,-4]=>160
[-1,-5,3,-2,4]=>200
[-1,-5,3,-2,-4]=>320
[-1,-5,-3,2,4]=>160
[-1,-5,-3,2,-4]=>260
[-1,-5,-3,-2,4]=>310
[-1,-5,-3,-2,-4]=>480
[1,5,3,4,2]=>12
[1,5,3,4,-2]=>15
[1,5,3,-4,2]=>16
[1,5,3,-4,-2]=>18
[1,5,-3,4,2]=>24
[1,5,-3,4,-2]=>27
[1,5,-3,-4,2]=>28
[1,5,-3,-4,-2]=>30
[1,-5,3,4,2]=>15
[1,-5,3,4,-2]=>18
[1,-5,3,-4,2]=>18
[1,-5,3,-4,-2]=>20
[1,-5,-3,4,2]=>27
[1,-5,-3,4,-2]=>30
[1,-5,-3,-4,2]=>30
[1,-5,-3,-4,-2]=>32
[-1,5,3,4,2]=>120
[-1,5,3,4,-2]=>150
[-1,5,3,-4,2]=>160
[-1,5,3,-4,-2]=>180
[-1,5,-3,4,2]=>240
[-1,5,-3,4,-2]=>270
[-1,5,-3,-4,2]=>280
[-1,5,-3,-4,-2]=>300
[-1,-5,3,4,2]=>150
[-1,-5,3,4,-2]=>180
[-1,-5,3,-4,2]=>180
[-1,-5,3,-4,-2]=>200
[-1,-5,-3,4,2]=>270
[-1,-5,-3,4,-2]=>300
[-1,-5,-3,-4,2]=>300
[-1,-5,-3,-4,-2]=>320
[1,5,4,2,3]=>12
[1,5,4,2,-3]=>18
[1,5,4,-2,3]=>32
[1,5,4,-2,-3]=>44
[1,5,-4,2,3]=>10
[1,5,-4,2,-3]=>13
[1,5,-4,-2,3]=>24
[1,5,-4,-2,-3]=>30
[1,-5,4,2,3]=>15
[1,-5,4,2,-3]=>21
[1,-5,4,-2,3]=>38
[1,-5,4,-2,-3]=>50
[1,-5,-4,2,3]=>11
[1,-5,-4,2,-3]=>14
[1,-5,-4,-2,3]=>26
[1,-5,-4,-2,-3]=>32
[-1,5,4,2,3]=>120
[-1,5,4,2,-3]=>180
[-1,5,4,-2,3]=>320
[-1,5,4,-2,-3]=>440
[-1,5,-4,2,3]=>100
[-1,5,-4,2,-3]=>130
[-1,5,-4,-2,3]=>240
[-1,5,-4,-2,-3]=>300
[-1,-5,4,2,3]=>150
[-1,-5,4,2,-3]=>210
[-1,-5,4,-2,3]=>380
[-1,-5,4,-2,-3]=>500
[-1,-5,-4,2,3]=>110
[-1,-5,-4,2,-3]=>140
[-1,-5,-4,-2,3]=>260
[-1,-5,-4,-2,-3]=>320
[1,5,4,3,2]=>24
[1,5,4,3,-2]=>30
[1,5,4,-3,2]=>20
[1,5,4,-3,-2]=>22
[1,5,-4,3,2]=>20
[1,5,-4,3,-2]=>23
[1,5,-4,-3,2]=>14
[1,5,-4,-3,-2]=>15
[1,-5,4,3,2]=>30
[1,-5,4,3,-2]=>36
[1,-5,4,-3,2]=>23
[1,-5,4,-3,-2]=>25
[1,-5,-4,3,2]=>22
[1,-5,-4,3,-2]=>25
[1,-5,-4,-3,2]=>15
[1,-5,-4,-3,-2]=>16
[-1,5,4,3,2]=>240
[-1,5,4,3,-2]=>300
[-1,5,4,-3,2]=>200
[-1,5,4,-3,-2]=>220
[-1,5,-4,3,2]=>200
[-1,5,-4,3,-2]=>230
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Description
The number of signed permutations less than or equal to a signed permutation in left weak order.
Code
def statistic(pi):
return pi.binary_factorizations().cardinality()
Created
Nov 27, 2022 at 20:05 by Martin Rubey
Updated
Nov 27, 2022 at 20:05 by Martin Rubey
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