#Density : 431176985946295776312389671/1000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 45, 26, 46, 37, 57}
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 :
3449415862856074775577067/8000000000000000000000000 78106990886389416000087761/1000000000000000000000000000 -1389707607023464173356719/6250000000000000000000000 347138335040849937854851873/1000000000000000000000000000 -42334993782879115947338949/500000000000000000000000000 -241194965277409769646383653/1000000000000000000000000000
78106990886389416000087761/1000000000000000000000000000 111326935296268985943154243/1000000000000000000000000000 69821507287376366465398833/250000000000000000000000000 5525558625413098278815567/40000000000000000000000000 -4052916574075050166883423/500000000000000000000000000 -341569687822035405543177339/1000000000000000000000000000
-1389707607023464173356719/6250000000000000000000000 69821507287376366465398833/250000000000000000000000000 18783162140391926957372471/7812500000000000000000000 69876207288858607994634183/100000000000000000000000000 23869569995143351636740793/250000000000000000000000000 -100490770617790943476631047/50000000000000000000000000
347138335040849937854851873/1000000000000000000000000000 5525558625413098278815567/40000000000000000000000000 69876207288858607994634183/100000000000000000000000000 76941324073018178179911679/100000000000000000000000000 -3018912695931256018328747/62500000000000000000000000 -1012391795576096911513456137/1000000000000000000000000000
-42334993782879115947338949/500000000000000000000000000 -4052916574075050166883423/500000000000000000000000000 23869569995143351636740793/250000000000000000000000000 -3018912695931256018328747/62500000000000000000000000 2224901122558780199424869/125000000000000000000000000 -467575999205818428002303/500000000000000000000000000
-241194965277409769646383653/1000000000000000000000000000 -341569687822035405543177339/1000000000000000000000000000 -100490770617790943476631047/50000000000000000000000000 -1012391795576096911513456137/1000000000000000000000000000 -467575999205818428002303/500000000000000000000000000 2124280830842320346364924339/1000000000000000000000000000


--- 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 :
291677333/500000000 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 :
637599221366535932433514899/500000000000000000000000000 219855549377023711785229293/1000000000000000000000000000 -1622421448445878225527361947/1000000000000000000000000000 -1044459044661720317447827431/1000000000000000000000000000 1030082965499619467590294881/1000000000000000000000000000 12808288210766280736832829/250000000000000000000000000
219855549377023711785229293/1000000000000000000000000000 422277377864783453438028191/500000000000000000000000000 -402733840634961670578800141/1000000000000000000000000000 -410072181795271278727461521/500000000000000000000000000 -570650093399564423277629803/1000000000000000000000000000 294970785178283123750037021/500000000000000000000000000
-1622421448445878225527361947/1000000000000000000000000000 -402733840634961670578800141/1000000000000000000000000000 1126567363522617843884550811/500000000000000000000000000 1606146420081426716597506467/1000000000000000000000000000 -67845143547955911133938477/50000000000000000000000000 -1624740237952451200270503/10000000000000000000000000
-1044459044661720317447827431/1000000000000000000000000000 -410072181795271278727461521/500000000000000000000000000 1606146420081426716597506467/1000000000000000000000000000 1738237377412945081105813169/1000000000000000000000000000 -239945272876335128936767571/500000000000000000000000000 -555356899977640139131777353/1000000000000000000000000000
1030082965499619467590294881/1000000000000000000000000000 -570650093399564423277629803/1000000000000000000000000000 -67845143547955911133938477/50000000000000000000000000 -239945272876335128936767571/500000000000000000000000000 1697199940780493052813234941/1000000000000000000000000000 -475375400194704258872332389/1000000000000000000000000000
12808288210766280736832829/250000000000000000000000000 294970785178283123750037021/500000000000000000000000000 -1624740237952451200270503/10000000000000000000000000 -555356899977640139131777353/1000000000000000000000000000 -475375400194704258872332389/1000000000000000000000000000 215588490907481166427551423/500000000000000000000000000


--- 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 :
0/1 0/1
0/1 0/1

