#Density : 200570114035402978941720041/500000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 45, 26, 46, 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 :
24107067378205276451812337/62500000000000000000000000 -8562108159467561230561947/31250000000000000000000000 -903232065454684330179251/2500000000000000000000000 -42951808184129087321863627/62500000000000000000000000 5563115542924913993511229/31250000000000000000000000 21652785977411809926618089/31250000000000000000000000
-8562108159467561230561947/31250000000000000000000000 3041004323931115631434857/15625000000000000000000000 320800971606942930535281/1250000000000000000000000 15255195563509313585666937/31250000000000000000000000 -1975851987089950468549599/15625000000000000000000000 -7690420928595116004872259/15625000000000000000000000
-903232065454684330179251/2500000000000000000000000 320800971606942930535281/1250000000000000000000000 33841866837901207769273/100000000000000000000000 1609297796887502396593921/2500000000000000000000000 -208436151248406762431767/1250000000000000000000000 -811276224287133156379547/1250000000000000000000000
-42951808184129087321863627/62500000000000000000000000 15255195563509313585666937/31250000000000000000000000 1609297796887502396593921/2500000000000000000000000 76527675363537498300814217/62500000000000000000000000 -9911859786059431506638159/31250000000000000000000000 -38578989943613404320031219/31250000000000000000000000
5563115542924913993511229/31250000000000000000000000 -1975851987089950468549599/15625000000000000000000000 -208436151248406762431767/1250000000000000000000000 -9911859786059431506638159/31250000000000000000000000 1283783467246309119866393/15625000000000000000000000 4996748394517244987853013/15625000000000000000000000
21652785977411809926618089/31250000000000000000000000 -7690420928595116004872259/15625000000000000000000000 -811276224287133156379547/1250000000000000000000000 -38578989943613404320031219/31250000000000000000000000 4996748394517244987853013/15625000000000000000000000 19448368946256537764710433/15625000000000000000000000


--- 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 :
18447442886658738025424859/10000000000000000000000000 -25652815817706249350143563/50000000000000000000000000
-25652815817706249350143563/50000000000000000000000000 35672529977207654845839291/250000000000000000000000000


--- 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 :
1139174199215545123906044627/500000000000000000000000000 -136156583376772244814289637/250000000000000000000000000 91829108522394879442499157/250000000000000000000000000 -699900125227450337895875539/500000000000000000000000000 -380710180081075578593943937/500000000000000000000000000 -74359475850820558342920217/500000000000000000000000000
-136156583376772244814289637/250000000000000000000000000 720118311224963748802639047/1000000000000000000000000000 -1076540497831065019378046099/1000000000000000000000000000 -79616218772329509699830367/500000000000000000000000000 7679661661308766271185033/125000000000000000000000000 308385494655693097204277109/1000000000000000000000000000
91829108522394879442499157/250000000000000000000000000 -1076540497831065019378046099/1000000000000000000000000000 1753164123949733964654142401/1000000000000000000000000000 301733026747245958014797573/500000000000000000000000000 13278323274593697512968463/500000000000000000000000000 -382458693664229217198468977/1000000000000000000000000000
-699900125227450337895875539/500000000000000000000000000 -79616218772329509699830367/500000000000000000000000000 301733026747245958014797573/500000000000000000000000000 127349730925009248931094641/100000000000000000000000000 283340076670761588919014371/500000000000000000000000000 -33288544413304570307047551/250000000000000000000000000
-380710180081075578593943937/500000000000000000000000000 7679661661308766271185033/125000000000000000000000000 13278323274593697512968463/500000000000000000000000000 283340076670761588919014371/500000000000000000000000000 44349854112013697353540453/125000000000000000000000000 -73877297545324512634786751/500000000000000000000000000
-74359475850820558342920217/500000000000000000000000000 308385494655693097204277109/1000000000000000000000000000 -382458693664229217198468977/1000000000000000000000000000 -33288544413304570307047551/250000000000000000000000000 -73877297545324512634786751/500000000000000000000000000 401140226069201072225402901/1000000000000000000000000000


--- 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 :
8918132495102666362428631/62500000000000000000000000 1034997641221337232361621/12500000000000000000000000
1034997641221337232361621/12500000000000000000000000 120117089303392315561711/2500000000000000000000000

