#Density : 2666716707219855485428493063/6000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 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 :
27778298855964713100125553/62500000000000000000000000 -25822765406375272680010659/125000000000000000000000000 -29626741874518694592878463/125000000000000000000000000 44610883184847551995872513/62500000000000000000000000 -22268308331327249265410991/62500000000000000000000000 -5700994493189232954555759/125000000000000000000000000
-25822765406375272680010659/125000000000000000000000000 50228282654068747024944693/250000000000000000000000000 1012800390986349053252031/250000000000000000000000000 -9752687121163425198438777/125000000000000000000000000 4868225619817911050538069/125000000000000000000000000 -1499966177143670266676541/250000000000000000000000000
-29626741874518694592878463/125000000000000000000000000 1012800390986349053252031/250000000000000000000000000 58434908110748021415256687/250000000000000000000000000 -39832936989312512925571787/62500000000000000000000000 4970828074937293604659931/15625000000000000000000000 12959035239425972640549973/250000000000000000000000000
44610883184847551995872513/62500000000000000000000000 -9752687121163425198438777/125000000000000000000000000 -39832936989312512925571787/62500000000000000000000000 27501628022050935654577043/15625000000000000000000000 -54911688674579782367998109/62500000000000000000000000 -434496298154641482220441/3125000000000000000000000
-22268308331327249265410991/62500000000000000000000000 4868225619817911050538069/125000000000000000000000000 4970828074937293604659931/15625000000000000000000000 -54911688674579782367998109/62500000000000000000000000 1713133554468744131637593/3906250000000000000000000 54221620528451598681559/781250000000000000000000
-5700994493189232954555759/125000000000000000000000000 -1499966177143670266676541/250000000000000000000000000 12959035239425972640549973/250000000000000000000000000 -434496298154641482220441/3125000000000000000000000 54221620528451598681559/781250000000000000000000 61965476784157325381051191/250000000000000000000000000


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


--- 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 :
1732940993083006705796340921/1000000000000000000000000000 -883412978365056883819347911/1000000000000000000000000000 -60841933541912064198634641/200000000000000000000000000 1769772208593521406588613027/1000000000000000000000000000 1799036517037337769737747/500000000000000000000000000 -877616342713929853855016621/1000000000000000000000000000
-883412978365056883819347911/1000000000000000000000000000 450343372024115389093400729/1000000000000000000000000000 77539503688721150085307227/500000000000000000000000000 -902188674664481063036959081/1000000000000000000000000000 -1834213963406547539587217/1000000000000000000000000000 111847095526238876657896757/250000000000000000000000000
-60841933541912064198634641/200000000000000000000000000 77539503688721150085307227/500000000000000000000000000 142051394532526519665376471/250000000000000000000000000 -310675215230507169288052079/1000000000000000000000000000 -43751144995789520286853043/250000000000000000000000000 77030717539050528619559859/500000000000000000000000000
1769772208593521406588613027/1000000000000000000000000000 -902188674664481063036959081/1000000000000000000000000000 -310675215230507169288052079/1000000000000000000000000000 1807386219618364968155905953/1000000000000000000000000000 367454506076971017981407/100000000000000000000000000 -7170150717616288103079779/8000000000000000000000000
1799036517037337769737747/500000000000000000000000000 -1834213963406547539587217/1000000000000000000000000000 -43751144995789520286853043/250000000000000000000000000 367454506076971017981407/100000000000000000000000000 134011885819934231976408301/1000000000000000000000000000 -455544616623532580059841/250000000000000000000000000
-877616342713929853855016621/1000000000000000000000000000 111847095526238876657896757/250000000000000000000000000 77030717539050528619559859/500000000000000000000000000 -7170150717616288103079779/8000000000000000000000000 -455544616623532580059841/250000000000000000000000000 111113195439552023007190499/250000000000000000000000000


--- 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 :
1615750000001804127337/125000000000000000000000000 -601356389398624221/250000000000000000000000000
-601356389398624221/250000000000000000000000000 200458592599082814200691261/500000000000000000000000000

