#Density : 2069152156976021894810680637/6000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 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 :
86214672725597399588100569/250000000000000000000000000 -127882019063180042044696121/250000000000000000000000000 49746385354988089765969907/250000000000000000000000000 4233070241370847042176977/6250000000000000000000000 -72162709187056263829462137/250000000000000000000000000 -41800191415306083770971153/125000000000000000000000000
-127882019063180042044696121/250000000000000000000000000 263623515540555597274687089/250000000000000000000000000 -255183099191190411847651403/250000000000000000000000000 -2711668926873280082429857/5000000000000000000000000 71583482323738787148932073/250000000000000000000000000 16668397203211625778968851/62500000000000000000000000
49746385354988089765969907/250000000000000000000000000 -255183099191190411847651403/250000000000000000000000000 492918693735966488867617961/250000000000000000000000000 -24180059893088953470588631/25000000000000000000000000 61747523217458143591327869/250000000000000000000000000 15023605608382832872467689/31250000000000000000000000
4233070241370847042176977/6250000000000000000000000 -2711668926873280082429857/5000000000000000000000000 -24180059893088953470588631/25000000000000000000000000 270564750106951226645275271/100000000000000000000000000 -2449824434376412260851691/2500000000000000000000000 -133923922792720530500844119/100000000000000000000000000
-72162709187056263829462137/250000000000000000000000000 71583482323738787148932073/250000000000000000000000000 61747523217458143591327869/250000000000000000000000000 -2449824434376412260851691/2500000000000000000000000 91423416560194726850601801/250000000000000000000000000 60604377684708209371906179/125000000000000000000000000
-41800191415306083770971153/125000000000000000000000000 16668397203211625778968851/62500000000000000000000000 15023605608382832872467689/31250000000000000000000000 -133923922792720530500844119/100000000000000000000000000 60604377684708209371906179/125000000000000000000000000 331449820478821790994655563/500000000000000000000000000


--- 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 :
135580209748934959359/15625000000000000000000000 -3328233143756836830489/62500000000000000000000000
-3328233143756836830489/62500000000000000000000000 81701716494715283800719/250000000000000000000000000


--- 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 :
704808477480399512982190539/500000000000000000000000000 -21119751685772771544700539/31250000000000000000000000 -69721790440542778474853169/100000000000000000000000000 473646541609224282285110553/500000000000000000000000000 -33556615746702573230291223/62500000000000000000000000 -69721790440542778474853169/100000000000000000000000000
-21119751685772771544700539/31250000000000000000000000 324023714492129237331797843/1000000000000000000000000000 66855559766500905681160033/200000000000000000000000000 -454174705562977640530987071/1000000000000000000000000000 64340874498007140274011397/250000000000000000000000000 66855559766500905681160033/200000000000000000000000000
-69721790440542778474853169/100000000000000000000000000 66855559766500905681160033/200000000000000000000000000 13794347625912567158181473/40000000000000000000000000 -93709869907187001809416251/200000000000000000000000000 13267422673752156023482907/50000000000000000000000000 13794347625912567158181473/40000000000000000000000000
473646541609224282285110553/500000000000000000000000000 -454174705562977640530987071/1000000000000000000000000000 -93709869907187001809416251/200000000000000000000000000 636604988749972712122180737/1000000000000000000000000000 -90153787478102970742565709/250000000000000000000000000 -93709869907187001809416251/200000000000000000000000000
-33556615746702573230291223/62500000000000000000000000 64340874498007140274011397/250000000000000000000000000 13267422673752156023482907/50000000000000000000000000 -90153787478102970742565709/250000000000000000000000000 13466453226365963887197563/62500000000000000000000000 13267422673752156023482907/50000000000000000000000000
-69721790440542778474853169/100000000000000000000000000 66855559766500905681160033/200000000000000000000000000 13794347625912567158181473/40000000000000000000000000 -93709869907187001809416251/200000000000000000000000000 13267422673752156023482907/50000000000000000000000000 13794347625912567158181473/40000000000000000000000000


--- 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 :
10212724790483679640963/31250000000000000000000000 37820078372448466590951/12500000000000000000000000
37820078372448466590951/12500000000000000000000000 3703129343036143897718089/125000000000000000000000000

