#Density : 1372583002836420956178989829/2000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {37, 57, 67}
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 :
343145749876942104865607221/500000000000000000000000000 71694770297888247115431743/500000000000000000000000000 48769372679867332850405121/500000000000000000000000000 -3134801412406615425042687/250000000000000000000000000 -60660171690032571792913587/62500000000000000000000000 155502252924034368085531239/500000000000000000000000000
71694770297888247115431743/500000000000000000000000000 141254281210418227637506721/500000000000000000000000000 -26139870920596286849538651/250000000000000000000000000 -45212125512574717098959049/250000000000000000000000000 -12673964570150244937176577/62500000000000000000000000 -817066823681574684984647/62500000000000000000000000
48769372679867332850405121/500000000000000000000000000 -26139870920596286849538651/250000000000000000000000000 39317721456795480377682941/50000000000000000000000000 -1856427688480560683339/8000000000000000000000 -34485154026845431674887943/250000000000000000000000000 -3583483505245731743000121/25000000000000000000000000
-3134801412406615425042687/250000000000000000000000000 -45212125512574717098959049/250000000000000000000000000 -1856427688480560683339/8000000000000000000000 44665981673989426448733781/50000000000000000000000000 886655708490844416926379/50000000000000000000000000 -420036541047411528519553/2000000000000000000000000
-60660171690032571792913587/62500000000000000000000000 -12673964570150244937176577/62500000000000000000000000 -34485154026845431674887943/250000000000000000000000000 886655708490844416926379/50000000000000000000000000 8578643753061353976766859/6250000000000000000000000 -109956697512665460812867783/250000000000000000000000000
155502252924034368085531239/500000000000000000000000000 -817066823681574684984647/62500000000000000000000000 -3583483505245731743000121/25000000000000000000000000 -420036541047411528519553/2000000000000000000000000 -109956697512665460812867783/250000000000000000000000000 41219158556416637396335297/50000000000000000000000000


--- 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 :
195412501/250000000 0/1
0/1 0/1


--- 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 :
169901029820894269147628429/250000000000000000000000000 0/1 -21500150759135683122131723/100000000000000000000000000 -6849019764428100030484723/50000000000000000000000000 -1801653750323030662470069/31250000000000000000000000 -14668685517557477770568823/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-21500150759135683122131723/100000000000000000000000000 0/1 1024620916079372877345037063/1000000000000000000000000000 -195867416194008350192922323/1000000000000000000000000000 -171009953240294962618217381/1000000000000000000000000000 -108970497309941902670642123/1000000000000000000000000000
-6849019764428100030484723/50000000000000000000000000 0/1 -195867416194008350192922323/1000000000000000000000000000 183844837853122689679170577/250000000000000000000000000 -1322529435045119786316557/15625000000000000000000000 -59107485390447755396196949/500000000000000000000000000
-1801653750323030662470069/31250000000000000000000000 0/1 -171009953240294962618217381/1000000000000000000000000000 -1322529435045119786316557/15625000000000000000000000 654285850703767397187167/2500000000000000000000000 -34509404184117094640865023/500000000000000000000000000
-14668685517557477770568823/250000000000000000000000000 0/1 -108970497309941902670642123/1000000000000000000000000000 -59107485390447755396196949/500000000000000000000000000 -34509404184117094640865023/500000000000000000000000000 40603217110620374407726453/125000000000000000000000000


--- 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 :
0/1 0/1
0/1 725289629/1000000000

