#Density : 969957300371084992595198189/3000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 15, 26, 37, 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 :
42116229622155232526913/800000000000000000000000 -205606099081958316879501/4000000000000000000000000
-205606099081958316879501/4000000000000000000000000 1003742936130776115055977/20000000000000000000000000


--- 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 :
135336905208849660882342031/500000000000000000000000000 -23272347688610112940883681/125000000000000000000000000 86900052359041649440413679/250000000000000000000000000 -89128194378916630396854451/250000000000000000000000000 1391821087572436785831431/125000000000000000000000000 6662491398012758958900391/500000000000000000000000000
-23272347688610112940883681/125000000000000000000000000 12157237070718556557577287/31250000000000000000000000 -122366383547665208376428341/200000000000000000000000000 7903542841189243079733163/15625000000000000000000000 -18139082740863140882402651/250000000000000000000000000 -23627097753517587721141269/62500000000000000000000000
86900052359041649440413679/250000000000000000000000000 -122366383547665208376428341/200000000000000000000000000 1615280557519969334364180017/1000000000000000000000000000 -1646817799749662905222683083/1000000000000000000000000000 64060385499761315053450117/500000000000000000000000000 562476336990883321730044777/1000000000000000000000000000
-89128194378916630396854451/250000000000000000000000000 7903542841189243079733163/15625000000000000000000000 -1646817799749662905222683083/1000000000000000000000000000 111117305918536760720200287/62500000000000000000000000 -13323193715646430933103527/125000000000000000000000000 -51207707665852218186666631/125000000000000000000000000
1391821087572436785831431/125000000000000000000000000 -18139082740863140882402651/250000000000000000000000000 64060385499761315053450117/500000000000000000000000000 -13323193715646430933103527/125000000000000000000000000 25798287126244032498705691/500000000000000000000000000 46445936240854365137316149/500000000000000000000000000
6662491398012758958900391/500000000000000000000000000 -23627097753517587721141269/62500000000000000000000000 562476336990883321730044777/1000000000000000000000000000 -51207707665852218186666631/125000000000000000000000000 46445936240854365137316149/500000000000000000000000000 130642194729857641301378409/250000000000000000000000000


--- 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 :
181774184265766484386087121/200000000000000000000000000 511691577033001228959221/5000000000000000000000000
511691577033001228959221/5000000000000000000000000 112166483271595548461458667/200000000000000000000000000


--- 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 :
798974719006251326464035717/1000000000000000000000000000 -203344280331315281828990431/1000000000000000000000000000 -989868019049040960681698083/1000000000000000000000000000 -25640768272215213414039547/1000000000000000000000000000 32430744615581198437545093/500000000000000000000000000 -6023103708580473480656349/250000000000000000000000000
-203344280331315281828990431/1000000000000000000000000000 105508355634379189876790549/1000000000000000000000000000 266707303557684910933329579/1000000000000000000000000000 64624552845495109646944213/1000000000000000000000000000 -5103142032806580810789623/250000000000000000000000000 -11783306634366236855472369/250000000000000000000000000
-989868019049040960681698083/1000000000000000000000000000 266707303557684910933329579/1000000000000000000000000000 249468506139454999006568817/200000000000000000000000000 14276354117843015383260181/125000000000000000000000000 -42949770163535523332893019/500000000000000000000000000 -9147160614437877340129701/200000000000000000000000000
-25640768272215213414039547/1000000000000000000000000000 64624552845495109646944213/1000000000000000000000000000 14276354117843015383260181/125000000000000000000000000 324914635838954377220056431/1000000000000000000000000000 -23864165676378979054953779/1000000000000000000000000000 -37044210144453814024801089/125000000000000000000000000
32430744615581198437545093/500000000000000000000000000 -5103142032806580810789623/250000000000000000000000000 -42949770163535523332893019/500000000000000000000000000 -23864165676378979054953779/1000000000000000000000000000 1682388131860208343114269/250000000000000000000000000 3602886891793440699613263/200000000000000000000000000
-6023103708580473480656349/250000000000000000000000000 -11783306634366236855472369/250000000000000000000000000 -9147160614437877340129701/200000000000000000000000000 -37044210144453814024801089/125000000000000000000000000 3602886891793440699613263/200000000000000000000000000 136565975651972709116836863/500000000000000000000000000


--- 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 :
456330622471538963290831003/1000000000000000000000000000 111913830587467403143874337/1000000000000000000000000000
111913830587467403143874337/1000000000000000000000000000 945436723847223718516125043/1000000000000000000000000000

