#Density : 346988719194232372894680647/800000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 46, 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 :
108433974460818585421102617/250000000000000000000000000 -62340251795604806180696907/250000000000000000000000000 -118219010410211908774559079/250000000000000000000000000 -75754540311015699232893441/125000000000000000000000000 -42601563317047926490063863/250000000000000000000000000 146085389865486682383770907/250000000000000000000000000
-62340251795604806180696907/250000000000000000000000000 61559026802699732517623337/50000000000000000000000000 127169287065028613899626951/250000000000000000000000000 -20285700510559693304150673/31250000000000000000000000 -118148505428835303473781981/250000000000000000000000000 -359101398619167351707469759/250000000000000000000000000
-118219010410211908774559079/250000000000000000000000000 127169287065028613899626951/250000000000000000000000000 470641838654418805549059/781250000000000000000000 107854922570108463096001149/250000000000000000000000000 10843148853403588203450693/125000000000000000000000000 -113138940787064007758030883/125000000000000000000000000
-75754540311015699232893441/125000000000000000000000000 -20285700510559693304150673/31250000000000000000000000 107854922570108463096001149/250000000000000000000000000 441436914672586640700577803/250000000000000000000000000 188167680446100897955646247/250000000000000000000000000 50617426869098145088864833/250000000000000000000000000
-42601563317047926490063863/250000000000000000000000000 -118148505428835303473781981/250000000000000000000000000 10843148853403588203450693/125000000000000000000000000 188167680446100897955646247/250000000000000000000000000 6002321184170576128550133/15625000000000000000000000 20457789123632042005033413/62500000000000000000000000
146085389865486682383770907/250000000000000000000000000 -359101398619167351707469759/250000000000000000000000000 -113138940787064007758030883/125000000000000000000000000 50617426869098145088864833/250000000000000000000000000 20457789123632042005033413/62500000000000000000000000 60107572646164685199368013/31250000000000000000000000


--- 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 :
3131236791114071977127/97656250000000000000000 -55870988956314223611213/390625000000000000000000
-55870988956314223611213/390625000000000000000000 996911960096749584803247/1562500000000000000000000


--- 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 :
1834111755395008010981907341/1000000000000000000000000000 -682643569271602734262121267/1000000000000000000000000000 -962141509933710095402573499/500000000000000000000000000 -164664334651507409091377547/500000000000000000000000000 -149826325070332882158013679/1000000000000000000000000000 424842045744259479577798017/1000000000000000000000000000
-682643569271602734262121267/1000000000000000000000000000 96664647323561337042691359/200000000000000000000000000 83193618016089204530368037/125000000000000000000000000 64710662022765912611027431/500000000000000000000000000 -202882364070105898511899243/1000000000000000000000000000 116040765064332937747627879/1000000000000000000000000000
-962141509933710095402573499/500000000000000000000000000 83193618016089204530368037/125000000000000000000000000 1016249784088053662245921937/500000000000000000000000000 48552687926962615820317279/125000000000000000000000000 105563276038828813824159291/500000000000000000000000000 -63819243448276465203424267/125000000000000000000000000
-164664334651507409091377547/500000000000000000000000000 64710662022765912611027431/500000000000000000000000000 48552687926962615820317279/125000000000000000000000000 218707047076874469840919723/250000000000000000000000000 -19949792759966521552117419/500000000000000000000000000 -73014419363799901505037533/500000000000000000000000000
-149826325070332882158013679/1000000000000000000000000000 -202882364070105898511899243/1000000000000000000000000000 105563276038828813824159291/500000000000000000000000000 -19949792759966521552117419/500000000000000000000000000 308334120840473485246915037/1000000000000000000000000000 -338381627000415846696165591/1000000000000000000000000000
424842045744259479577798017/1000000000000000000000000000 116040765064332937747627879/1000000000000000000000000000 -63819243448276465203424267/125000000000000000000000000 -73014419363799901505037533/500000000000000000000000000 -338381627000415846696165591/1000000000000000000000000000 433735896392473855263604963/1000000000000000000000000000


--- 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 :
4984559804866670053601769/7812500000000000000000000 23930208278659628466530763/31250000000000000000000000
23930208278659628466530763/31250000000000000000000000 114885745317152941397971601/125000000000000000000000000

