#Density : 268663125755856553469845319/600000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {26, 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 :
111942968412078585735097503/250000000000000000000000000 -181804691969931904351356867/500000000000000000000000000 -2669493523507631572146537/3906250000000000000000000 -4914280880320183302276279/100000000000000000000000000 -55727160929022193057730553/250000000000000000000000000 101010137128508114771856357/500000000000000000000000000
-181804691969931904351356867/500000000000000000000000000 350398785474436347484294143/200000000000000000000000000 -103731029609572848582000303/125000000000000000000000000 -1359141842627052737098948941/1000000000000000000000000000 139229683770656739351062073/500000000000000000000000000 778716149777314396571593779/1000000000000000000000000000
-2669493523507631572146537/3906250000000000000000000 -103731029609572848582000303/125000000000000000000000000 147462221523813832585118833/62500000000000000000000000 175619972685981756215148027/125000000000000000000000000 15472980372296516038702161/62500000000000000000000000 -150566462897695563884513223/125000000000000000000000000
-4914280880320183302276279/100000000000000000000000000 -1359141842627052737098948941/1000000000000000000000000000 175619972685981756215148027/125000000000000000000000000 1349044999785856477756761339/1000000000000000000000000000 -6912560035922548172366691/100000000000000000000000000 -927607246087997133286837077/1000000000000000000000000000
-55727160929022193057730553/250000000000000000000000000 139229683770656739351062073/500000000000000000000000000 15472980372296516038702161/62500000000000000000000000 -6912560035922548172366691/100000000000000000000000000 5874332081661157077300759/50000000000000000000000000 -18751325408953047339006399/500000000000000000000000000
101010137128508114771856357/500000000000000000000000000 778716149777314396571593779/1000000000000000000000000000 -150566462897695563884513223/125000000000000000000000000 -927607246087997133286837077/1000000000000000000000000000 -18751325408953047339006399/500000000000000000000000000 803280219322063028055877131/1000000000000000000000000000


--- 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 :
34646525452564105249131821/1000000000000000000000000000 64072665118387070708731937/1000000000000000000000000000
64072665118387070708731937/1000000000000000000000000000 118491143390228514096981989/1000000000000000000000000000


--- 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 :
279202378268396319438227287/100000000000000000000000000 -339552708400335339634879883/1000000000000000000000000000 -492339293740977376417976371/500000000000000000000000000 -355798313249933258923267751/200000000000000000000000000 -596056924930092139185196673/1000000000000000000000000000 -98545505517253668746512791/250000000000000000000000000
-339552708400335339634879883/1000000000000000000000000000 389028552355195673337277029/500000000000000000000000000 118578631183193951353987347/250000000000000000000000000 -34456231929779417447110619/40000000000000000000000000 117937992631969831407633381/1000000000000000000000000000 566932819441270051037026539/1000000000000000000000000000
-492339293740977376417976371/500000000000000000000000000 118578631183193951353987347/250000000000000000000000000 770082584609671818186174711/1000000000000000000000000000 2174838849327946138180361/20000000000000000000000000 30977364084005358788810097/200000000000000000000000000 48597668066972507763272013/125000000000000000000000000
-355798313249933258923267751/200000000000000000000000000 -34456231929779417447110619/40000000000000000000000000 2174838849327946138180361/20000000000000000000000000 1355048153814802199638508037/500000000000000000000000000 19581615827782464213207103/62500000000000000000000000 -101607992451155693537467971/200000000000000000000000000
-596056924930092139185196673/1000000000000000000000000000 117937992631969831407633381/1000000000000000000000000000 30977364084005358788810097/200000000000000000000000000 19581615827782464213207103/62500000000000000000000000 39603243050512041349028649/200000000000000000000000000 116167192144231404450999393/1000000000000000000000000000
-98545505517253668746512791/250000000000000000000000000 566932819441270051037026539/1000000000000000000000000000 48597668066972507763272013/125000000000000000000000000 -101607992451155693537467971/200000000000000000000000000 116167192144231404450999393/1000000000000000000000000000 210622035574352249862867171/500000000000000000000000000


--- 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 :
29622785943706947769147359/250000000000000000000000000 4024325725815658724099397/50000000000000000000000000
4024325725815658724099397/50000000000000000000000000 75288647585931904229023031/250000000000000000000000000

