#Density : 1241071356912083440675482349/3000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {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 :
20684522393750244682173933/50000000000000000000000000 -88102226290763984443253331/250000000000000000000000000 -114283535934998569447958919/250000000000000000000000000 2225304711385716528074961/3906250000000000000000000 -40676847357161325585210273/250000000000000000000000000 -24536937669944064462227043/50000000000000000000000000
-88102226290763984443253331/250000000000000000000000000 159109612377157154282192429/250000000000000000000000000 53417895561648396073517933/250000000000000000000000000 -26692822675197640000202703/250000000000000000000000000 -20076258866716420839098763/250000000000000000000000000 132812827697566321730078277/250000000000000000000000000
-114283535934998569447958919/250000000000000000000000000 53417895561648396073517933/250000000000000000000000000 149250102086750752097401121/250000000000000000000000000 -103418769011816699719779279/125000000000000000000000000 73554004511048960239376523/250000000000000000000000000 24155064245839273365471333/50000000000000000000000000
2225304711385716528074961/3906250000000000000000000 -26692822675197640000202703/250000000000000000000000000 -103418769011816699719779279/125000000000000000000000000 2265627900814074274119690681/1000000000000000000000000000 -472371748380630857772486027/500000000000000000000000000 -18131788435039758195260031/62500000000000000000000000
-40676847357161325585210273/250000000000000000000000000 -20076258866716420839098763/250000000000000000000000000 73554004511048960239376523/250000000000000000000000000 -472371748380630857772486027/500000000000000000000000000 104924245076107602417739107/250000000000000000000000000 403805109939997660216137/125000000000000000000000000
-24536937669944064462227043/50000000000000000000000000 132812827697566321730078277/250000000000000000000000000 24155064245839273365471333/50000000000000000000000000 -18131788435039758195260031/62500000000000000000000000 403805109939997660216137/125000000000000000000000000 85431980241213023182179117/125000000000000000000000000


--- 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 :
154017378535095645237477/390625000000000000000000 151822630528507761352101/312500000000000000000000
151822630528507761352101/312500000000000000000000 149659157686178850151013/250000000000000000000000


--- 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 :
1626150418548644180584038451/1000000000000000000000000000 -769864106736358572031541091/1000000000000000000000000000 -669218644814360923404784007/500000000000000000000000000 55440842633769012388878617/31250000000000000000000000 -438591637933405921193939943/500000000000000000000000000 -359329596629749939346653603/1000000000000000000000000000
-769864106736358572031541091/1000000000000000000000000000 407683915073108113456413453/1000000000000000000000000000 184728143612904659159557309/250000000000000000000000000 -117152665705716273603824699/125000000000000000000000000 8586866986427488788628031/20000000000000000000000000 22273773626520797432961117/200000000000000000000000000
-669218644814360923404784007/500000000000000000000000000 184728143612904659159557309/250000000000000000000000000 696728671227533694906532099/500000000000000000000000000 -212764357725587949663302433/125000000000000000000000000 182212771076490414169644027/250000000000000000000000000 15472326654209638619159909/62500000000000000000000000
55440842633769012388878617/31250000000000000000000000 -117152665705716273603824699/125000000000000000000000000 -212764357725587949663302433/125000000000000000000000000 67354363652869078363544309/31250000000000000000000000 -3077853392157651531034529/3125000000000000000000000 -6817678547270730332229917/25000000000000000000000000
-438591637933405921193939943/500000000000000000000000000 8586866986427488788628031/20000000000000000000000000 182212771076490414169644027/250000000000000000000000000 -3077853392157651531034529/3125000000000000000000000 124732081923658649572497251/250000000000000000000000000 50653688763478577437072631/500000000000000000000000000
-359329596629749939346653603/1000000000000000000000000000 22273773626520797432961117/200000000000000000000000000 15472326654209638619159909/62500000000000000000000000 -6817678547270730332229917/25000000000000000000000000 50653688763478577437072631/500000000000000000000000000 413690449116006863819272861/1000000000000000000000000000


--- 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 :
584606084348132631801131/976562500000000000000000 6000139195086825502003431/7812500000000000000000000
6000139195086825502003431/7812500000000000000000000 61582784244472901290795731/62500000000000000000000000

