#Density : 1561959218287891154454206791/6000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 45, 26, 46, 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 :
142259994580723538123930843/1000000000000000000000000000 -23681837969187355783959443/500000000000000000000000000 -6757101302674436988172421/125000000000000000000000000 27546639087399793251449119/250000000000000000000000000 2868449291650548029578893/250000000000000000000000000 -81454040310068731402343661/500000000000000000000000000
-23681837969187355783959443/500000000000000000000000000 447206913117194918809669739/1000000000000000000000000000 -6083903905851390903049861/62500000000000000000000000 -103783521179476615877820559/200000000000000000000000000 -248546660544831248484155217/1000000000000000000000000000 2759188496175493212838071/7812500000000000000000000
-6757101302674436988172421/125000000000000000000000000 -6083903905851390903049861/62500000000000000000000000 211395623621632278885743/1000000000000000000000000 5020520131526665602269069/125000000000000000000000000 1910400239513556029810763/31250000000000000000000000 36551672514562434251349/1953125000000000000000000
27546639087399793251449119/250000000000000000000000000 -103783521179476615877820559/200000000000000000000000000 5020520131526665602269069/125000000000000000000000000 1733783532941752425629157503/1000000000000000000000000000 280821560572940977818181557/1000000000000000000000000000 -13294166640515225329342677/10000000000000000000000000
2868449291650548029578893/250000000000000000000000000 -248546660544831248484155217/1000000000000000000000000000 1910400239513556029810763/31250000000000000000000000 280821560572940977818181557/1000000000000000000000000000 139745219473956217692265287/1000000000000000000000000000 -45362571897748186001288991/250000000000000000000000000
-81454040310068731402343661/500000000000000000000000000 2759188496175493212838071/7812500000000000000000000 36551672514562434251349/1953125000000000000000000 -13294166640515225329342677/10000000000000000000000000 -45362571897748186001288991/250000000000000000000000000 268630136341408501087992999/250000000000000000000000000


--- 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 :
3552689007245608331115339/12500000000000000000000000 9378855339738716313581229/25000000000000000000000000
9378855339738716313581229/25000000000000000000000000 24759534905629943802581019/50000000000000000000000000


--- 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 :
17630374392818355928900267/1000000000000000000000000000 26475563111512613622562057/500000000000000000000000000 47379531271074081991671003/1000000000000000000000000000 1502214439498606563903881/62500000000000000000000000 -69680669310720353032034773/1000000000000000000000000000 -60628987705653775247074351/1000000000000000000000000000
26475563111512613622562057/500000000000000000000000000 190453923759403484656993229/500000000000000000000000000 64362527315098132105899537/500000000000000000000000000 40113911902828446202064237/500000000000000000000000000 -259612964945707591578421321/500000000000000000000000000 -37428291967142916913466629/500000000000000000000000000
47379531271074081991671003/1000000000000000000000000000 64362527315098132105899537/500000000000000000000000000 128157384714277423773287619/1000000000000000000000000000 16025117154035884365768537/250000000000000000000000000 -168295224829288305126953517/1000000000000000000000000000 -169494178729710231672579807/1000000000000000000000000000
1502214439498606563903881/62500000000000000000000000 40113911902828446202064237/500000000000000000000000000 16025117154035884365768537/250000000000000000000000000 44008110539410734954646867/250000000000000000000000000 -13278313469521240390281997/125000000000000000000000000 -4923095004180498471188177/62500000000000000000000000
-69680669310720353032034773/1000000000000000000000000000 -259612964945707591578421321/500000000000000000000000000 -168295224829288305126953517/1000000000000000000000000000 -13278313469521240390281997/125000000000000000000000000 708378951124320652340183899/1000000000000000000000000000 89820318064970568683956177/1000000000000000000000000000
-60628987705653775247074351/1000000000000000000000000000 -37428291967142916913466629/500000000000000000000000000 -169494178729710231672579807/1000000000000000000000000000 -4923095004180498471188177/62500000000000000000000000 89820318064970568683956177/1000000000000000000000000000 260326533087947006466602467/1000000000000000000000000000


--- 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 :
495190698594853003318828179/1000000000000000000000000000 -447832194581272017047062707/1000000000000000000000000000
-447832194581272017047062707/1000000000000000000000000000 405002911146285473439211731/1000000000000000000000000000

