#Density : 5333433407357655408913026239/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {04, 15, 26, 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 :
22222639127523137782357089/50000000000000000000000000 -5694266519409061622313/3125000000000000000000000 -8962688398447920402397377/10000000000000000000000000 7703070827603417122772547/50000000000000000000000000 22369419144697736635654203/50000000000000000000000000 -438808172144816611017633/500000000000000000000000
-5694266519409061622313/3125000000000000000000000 13401187349524603200309339/100000000000000000000000000 73490372824613061051483/20000000000000000000000000 -875022742771779162833253/5000000000000000000000000 -22927508589488663247291/12500000000000000000000000 89951181310037578632303/25000000000000000000000000
-8962688398447920402397377/10000000000000000000000000 73490372824613061051483/20000000000000000000000000 180738621697238175127637509/100000000000000000000000000 -15533758889377828625071641/50000000000000000000000000 -45109433739553142132814843/50000000000000000000000000 8848861044491149824891353/5000000000000000000000000
7703070827603417122772547/50000000000000000000000000 -875022742771779162833253/5000000000000000000000000 -15533758889377828625071641/50000000000000000000000000 5682055007143232878258701/10000000000000000000000000 7753949435223552038477121/50000000000000000000000000 -3802620396928948620189909/12500000000000000000000000
22369419144697736635654203/50000000000000000000000000 -22927508589488663247291/12500000000000000000000000 -45109433739553142132814843/50000000000000000000000000 7753949435223552038477121/50000000000000000000000000 22517168640489080538607377/50000000000000000000000000 -11042662249180085224968867/12500000000000000000000000
-438808172144816611017633/500000000000000000000000 89951181310037578632303/25000000000000000000000000 8848861044491149824891353/5000000000000000000000000 -3802620396928948620189909/12500000000000000000000000 -11042662249180085224968867/12500000000000000000000000 10830881226354610809932657/6250000000000000000000000


--- 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 :
50114648125000000000058167/125000000000000000000000000 -1202712777/500000000000000000
-1202712777/500000000000000000 646300000000721650933/50000000000000000000000000


--- 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 :
61965472345420632056798913/250000000000000000000000000 6940366154407260566517813/100000000000000000000000000 -69519394713353198291229831/500000000000000000000000000 12959033320132711914696207/250000000000000000000000000 -749984986767495732186681/125000000000000000000000000 -22803966477467953962115827/500000000000000000000000000
6940366154407260566517813/100000000000000000000000000 17542487648271014350703107/40000000000000000000000000 -175717404040838628974871339/200000000000000000000000000 31813299690286286000839013/100000000000000000000000000 77891610304207078379631/2000000000000000000000000 -71258586712719130979172047/200000000000000000000000000
-69519394713353198291229831/500000000000000000000000000 -175717404040838628974871339/200000000000000000000000000 1760104193996370100228659793/1000000000000000000000000000 -318663495606357762788848241/500000000000000000000000000 -3901074870547563001661487/50000000000000000000000000 713774130709954252661615589/1000000000000000000000000000
12959033320132711914696207/250000000000000000000000000 31813299690286286000839013/100000000000000000000000000 -318663495606357762788848241/500000000000000000000000000 58434907988691351615478607/250000000000000000000000000 40512015509457693066531/10000000000000000000000000 -118506967215380673131088733/500000000000000000000000000
-749984986767495732186681/125000000000000000000000000 77891610304207078379631/2000000000000000000000000 -3901074870547563001661487/50000000000000000000000000 40512015509457693066531/10000000000000000000000000 200913130560360963449120121/1000000000000000000000000000 -51645530870541490184227881/250000000000000000000000000
-22803966477467953962115827/500000000000000000000000000 -71258586712719130979172047/200000000000000000000000000 713774130709954252661615589/1000000000000000000000000000 -118506967215380673131088733/500000000000000000000000000 -51645530870541490184227881/250000000000000000000000000 444452781602454395346368233/1000000000000000000000000000


--- 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 :
6463/500000000 0/1
0/1 0/1

