#Density : 32882889451549181246894143/62500000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 26, 46, 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 :
4110361162819463999557119/7812500000000000000000000 -9578381539013639967660711/15625000000000000000000000 -9551752655099040048846177/31250000000000000000000000 63328371505171921164524349/62500000000000000000000000 -34877390778383170525347429/62500000000000000000000000 2010944558493385121392077/3906250000000000000000000
-9578381539013639967660711/15625000000000000000000000 481381304704272619586215227/500000000000000000000000000 11448312970416415814097783/20000000000000000000000000 -422229873886992826967560959/500000000000000000000000000 141819984551798814052249119/250000000000000000000000000 -7916940852379470785815161/6250000000000000000000000
-9551752655099040048846177/31250000000000000000000000 11448312970416415814097783/20000000000000000000000000 268684477517246285387853981/500000000000000000000000000 -37013882356430863249357701/125000000000000000000000000 126014759290367569990362447/500000000000000000000000000 -54967809106556637270519861/62500000000000000000000000
63328371505171921164524349/62500000000000000000000000 -422229873886992826967560959/500000000000000000000000000 -37013882356430863249357701/125000000000000000000000000 2406062710395993967011611883/1000000000000000000000000000 -1186870089218216602984808553/1000000000000000000000000000 11174765540157829025049183/125000000000000000000000000
-34877390778383170525347429/62500000000000000000000000 141819984551798814052249119/250000000000000000000000000 126014759290367569990362447/500000000000000000000000000 -1186870089218216602984808553/1000000000000000000000000000 619553339744642474941068717/1000000000000000000000000000 -40438338692664137475511779/125000000000000000000000000
2010944558493385121392077/3906250000000000000000000 -7916940852379470785815161/6250000000000000000000000 -54967809106556637270519861/62500000000000000000000000 11174765540157829025049183/125000000000000000000000000 -40438338692664137475511779/125000000000000000000000000 35834040596561046709117287/15625000000000000000000000


--- 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 :
230276559144848270131/200000000000000000000000000 -383050670004463218989/100000000000000000000000000
-383050670004463218989/100000000000000000000000000 637180859118941554291/50000000000000000000000000


--- 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 :
38367703213538363878270939/125000000000000000000000000 -44836070206564214876165733/125000000000000000000000000 33452327322271464045555181/62500000000000000000000000 -71728106677979105394646167/250000000000000000000000000 5085900657750686403802051/12500000000000000000000000 -39763901845037252013120583/100000000000000000000000000
-44836070206564214876165733/125000000000000000000000000 10817477904544622479965051/25000000000000000000000000 -49025068209041364982147833/62500000000000000000000000 71281127817038575386356157/250000000000000000000000000 -26717553575018284005891303/62500000000000000000000000 238437426010712983819028913/500000000000000000000000000
33452327322271464045555181/62500000000000000000000000 -49025068209041364982147833/62500000000000000000000000 349855398407931377865982267/125000000000000000000000000 4422328551176460668877021/50000000000000000000000000 18280149366401037089003183/125000000000000000000000000 -418288667776113258120956179/500000000000000000000000000
-71728106677979105394646167/250000000000000000000000000 71281127817038575386356157/250000000000000000000000000 4422328551176460668877021/50000000000000000000000000 170011174099333768203554181/250000000000000000000000000 -139521289647743834136365367/250000000000000000000000000 163251154379235302459261853/500000000000000000000000000
5085900657750686403802051/12500000000000000000000000 -26717553575018284005891303/62500000000000000000000000 18280149366401037089003183/125000000000000000000000000 -139521289647743834136365367/250000000000000000000000000 88674884111660894543166979/125000000000000000000000000 -241933050918553322998832987/500000000000000000000000000
-39763901845037252013120583/100000000000000000000000000 238437426010712983819028913/500000000000000000000000000 -418288667776113258120956179/500000000000000000000000000 163251154379235302459261853/500000000000000000000000000 -241933050918553322998832987/500000000000000000000000000 526126227470387703079118693/1000000000000000000000000000


--- 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 :
796500611922825458011/62500000000000000000000000 121734675735172365329981/31250000000000000000000000
121734675735172365329981/31250000000000000000000000 18605549141478171518063851/15625000000000000000000000

