#Density : 533732994306212579237998233/1000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {45, 46, 37, 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 :
533732991154762686639811729/1000000000000000000000000000 -135587296923173564563655629/1000000000000000000000000000 52292300931126278991551737/200000000000000000000000000 -100170686589739022464329109/100000000000000000000000000 -200019238164309204786103997/500000000000000000000000000 195440207591030903621817599/500000000000000000000000000
-135587296923173564563655629/1000000000000000000000000000 26698620330301021083466009/125000000000000000000000000 -37909808573876760670272369/500000000000000000000000000 49813470885730312512446503/200000000000000000000000000 -321117186175919814422883/4000000000000000000000000 -855708174707515545088567/12500000000000000000000000
52292300931126278991551737/200000000000000000000000000 -37909808573876760670272369/500000000000000000000000000 253133747013588868542765511/500000000000000000000000000 -490425953382848732006842203/1000000000000000000000000000 -3728487699621817193132423/20000000000000000000000000 -10581052993881847013174439/500000000000000000000000000
-100170686589739022464329109/100000000000000000000000000 49813470885730312512446503/200000000000000000000000000 -490425953382848732006842203/1000000000000000000000000000 235020039474744668454235003/125000000000000000000000000 756275054315424742141179189/1000000000000000000000000000 -734532012472407460627782653/1000000000000000000000000000
-200019238164309204786103997/500000000000000000000000000 -321117186175919814422883/4000000000000000000000000 -3728487699621817193132423/20000000000000000000000000 756275054315424742141179189/1000000000000000000000000000 484537372903406901750216707/1000000000000000000000000000 -324284831786558127281069043/1000000000000000000000000000
195440207591030903621817599/500000000000000000000000000 -855708174707515545088567/12500000000000000000000000 -10581052993881847013174439/500000000000000000000000000 -734532012472407460627782653/1000000000000000000000000000 -324284831786558127281069043/1000000000000000000000000000 674908381858920699365049557/1000000000000000000000000000


--- 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 :
88275706124292815947299941/200000000000000000000000000 -89656904992598687096195823/200000000000000000000000000
-89656904992598687096195823/200000000000000000000000000 91059714679980005227475469/200000000000000000000000000


--- 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 :
1864586830978514333149350621/1000000000000000000000000000 243914579348674856453525777/500000000000000000000000000 -11681887789911493930811927/50000000000000000000000000 -140998846738782886635656313/500000000000000000000000000 -16868599419877082027817389/100000000000000000000000000 -62349553620385159472253757/62500000000000000000000000
243914579348674856453525777/500000000000000000000000000 127630037991031069147314979/1000000000000000000000000000 -97802093919529160294191/1600000000000000000000000 -73778649087265042833807007/1000000000000000000000000000 -11033268223066847979616063/250000000000000000000000000 -260998778131031608489522919/1000000000000000000000000000
-11681887789911493930811927/50000000000000000000000000 -97802093919529160294191/1600000000000000000000000 659552582894276489411536799/1000000000000000000000000000 -29147483351468811041016817/200000000000000000000000000 -6645884229794492723426247/50000000000000000000000000 125001074155677268703393807/1000000000000000000000000000
-140998846738782886635656313/500000000000000000000000000 -73778649087265042833807007/1000000000000000000000000000 -29147483351468811041016817/200000000000000000000000000 456675035416008725755634139/1000000000000000000000000000 -1565151278329763563906649/31250000000000000000000000 150874649706992546064869683/1000000000000000000000000000
-16868599419877082027817389/100000000000000000000000000 -11033268223066847979616063/250000000000000000000000000 -6645884229794492723426247/50000000000000000000000000 -1565151278329763563906649/31250000000000000000000000 180329887348669877249340133/1000000000000000000000000000 22562631591389938596547131/250000000000000000000000000
-62349553620385159472253757/62500000000000000000000000 -260998778131031608489522919/1000000000000000000000000000 125001074155677268703393807/1000000000000000000000000000 150874649706992546064869683/1000000000000000000000000000 22562631591389938596547131/250000000000000000000000000 533732993095861005191106447/1000000000000000000000000000


--- 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 :
0/1 0/1
0/1 28071773/62500000

