#Density : 4488705105811018369252340911/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 45, 26, 37}
Number of terms              : 5


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 1
Number of flags    : 2
Matrix dimension   : 2

Flags :
F1 : {}
F2 : {01}

Basis :
B1 : (F1)
B2 : (F2)

Matrix :
0/1 0/1
0/1 0/1


--- Term 2 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {02}
F3 : {13}
F4 : {02, 13}
F5 : {23}
F6 : {02, 23}
F7 : {13, 23}
F8 : {02, 13, 23}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)
B4 : (F5)
B5 : (F6)+(F7)
B6 : (F8)

Matrix :
74811751309875391602991359/200000000000000000000000000 -6114025706103591174997683/31250000000000000000000000 394755508171195840908039951/1000000000000000000000000000 -281395296957341294778275987/1000000000000000000000000000 141742130804138890994125129/500000000000000000000000000 -6340437423689577978069887/20000000000000000000000000
-6114025706103591174997683/31250000000000000000000000 655761712914285277912874529/1000000000000000000000000000 584245871440806779203944081/1000000000000000000000000000 -271724875695242429866477163/250000000000000000000000000 -226324602711593429915235599/500000000000000000000000000 122906427530759592611748751/500000000000000000000000000
394755508171195840908039951/1000000000000000000000000000 584245871440806779203944081/1000000000000000000000000000 386587633751134389091754403/250000000000000000000000000 -2060177322354926770024754723/1000000000000000000000000000 -33927624905295838487306839/250000000000000000000000000 -27533269511028765232407869/125000000000000000000000000
-281395296957341294778275987/1000000000000000000000000000 -271724875695242429866477163/250000000000000000000000000 -2060177322354926770024754723/1000000000000000000000000000 2963542775821405802056495451/1000000000000000000000000000 232730742107718977227332347/500000000000000000000000000 30052226305713417009142427/500000000000000000000000000
141742130804138890994125129/500000000000000000000000000 -226324602711593429915235599/500000000000000000000000000 -33927624905295838487306839/250000000000000000000000000 232730742107718977227332347/500000000000000000000000000 47780175795722506709136553/125000000000000000000000000 -35531860492336170607316177/125000000000000000000000000
-6340437423689577978069887/20000000000000000000000000 122906427530759592611748751/500000000000000000000000000 -27533269511028765232407869/125000000000000000000000000 30052226305713417009142427/500000000000000000000000000 -35531860492336170607316177/125000000000000000000000000 5546965917809372861974579/12500000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 2

Flags :
F1 : {02}
F2 : {13}
F3 : {02, 23}
F4 : {13, 23}

Basis :
B1 : (F2)-(F1)
B2 : (F4)-(F3)

Matrix :
225447219158106839698999063/250000000000000000000000000 205734575997740209668100853/250000000000000000000000000
205734575997740209668100853/250000000000000000000000000 187745565986715870213423343/250000000000000000000000000


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 6

Flags :
F1 : {01}
F2 : {01, 02}
F3 : {01, 13}
F4 : {01, 02, 13}
F5 : {01, 23}
F6 : {01, 02, 23}
F7 : {01, 13, 23}
F8 : {01, 02, 13, 23}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)
B4 : (F5)
B5 : (F6)+(F7)
B6 : (F8)

Matrix :
63405058485081199927540331/1000000000000000000000000000 953073060509024514842313/1000000000000000000000000000 -16786838877733120396551023/500000000000000000000000000 5587036684574788462728253/62500000000000000000000000 4248745410391788990369353/250000000000000000000000000 -76989509671066363040771339/500000000000000000000000000
953073060509024514842313/1000000000000000000000000000 85050795581449180566817091/1000000000000000000000000000 -12958404594216170691852717/500000000000000000000000000 -820084193026886521789289/6250000000000000000000000 157796503454295590593369/31250000000000000000000000 -2761849951863665265763729/500000000000000000000000000
-16786838877733120396551023/500000000000000000000000000 -12958404594216170691852717/500000000000000000000000000 79681576598857666414315463/250000000000000000000000000 -482575711751814036245231/62500000000000000000000000 -24122646468726300840472597/250000000000000000000000000 20623152543466822789322363/250000000000000000000000000
5587036684574788462728253/62500000000000000000000000 -820084193026886521789289/6250000000000000000000000 -482575711751814036245231/62500000000000000000000000 166332625912329849119464301/500000000000000000000000000 4121892831043525382612123/250000000000000000000000000 -53021782787620797465319359/250000000000000000000000000
4248745410391788990369353/250000000000000000000000000 157796503454295590593369/31250000000000000000000000 -24122646468726300840472597/250000000000000000000000000 4121892831043525382612123/250000000000000000000000000 22066087839269782198199959/250000000000000000000000000 -518164861727563589246043/12500000000000000000000000
-76989509671066363040771339/500000000000000000000000000 -2761849951863665265763729/500000000000000000000000000 20623152543466822789322363/250000000000000000000000000 -53021782787620797465319359/250000000000000000000000000 -518164861727563589246043/12500000000000000000000000 18702937847769411711054209/50000000000000000000000000


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 2

Flags :
F1 : {01, 02}
F2 : {01, 13}
F3 : {01, 02, 23}
F4 : {01, 13, 23}

Basis :
B1 : (F2)-(F1)
B2 : (F4)-(F3)

Matrix :
29384809521982499928414253/62500000000000000000000000 4234572126372802315380279/15625000000000000000000000
4234572126372802315380279/15625000000000000000000000 295505462305019463934853299/500000000000000000000000000

