#Density : 5096025022598505986183723333/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 45, 26, 46}
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 :
16986749999774395674116583/40000000000000000000000000 -33827414104204173538946359/200000000000000000000000000 -194320654305133633978914871/1000000000000000000000000000 79810162450871553163329239/500000000000000000000000000 -7069952357129956731726407/250000000000000000000000000 -144006485633430007904617713/1000000000000000000000000000
-33827414104204173538946359/200000000000000000000000000 145852261919368922112351467/1000000000000000000000000000 -14272363217545675698767353/1000000000000000000000000000 141009890909401247337255811/500000000000000000000000000 -38082557493236641191287839/250000000000000000000000000 -3676479246494397727570343/200000000000000000000000000
-194320654305133633978914871/1000000000000000000000000000 -14272363217545675698767353/1000000000000000000000000000 491007830945989061597611847/1000000000000000000000000000 -238328588815241046985460459/500000000000000000000000000 51000219147507357973875521/250000000000000000000000000 2778827918183905639362141/200000000000000000000000000
79810162450871553163329239/500000000000000000000000000 141009890909401247337255811/500000000000000000000000000 -238328588815241046985460459/500000000000000000000000000 395421114472289664078633467/250000000000000000000000000 -91368859134449049295255409/125000000000000000000000000 -193803958506226010923254047/500000000000000000000000000
-7069952357129956731726407/250000000000000000000000000 -38082557493236641191287839/250000000000000000000000000 51000219147507357973875521/250000000000000000000000000 -91368859134449049295255409/125000000000000000000000000 42857712320153643912757993/125000000000000000000000000 10465578858899947406285939/62500000000000000000000000
-144006485633430007904617713/1000000000000000000000000000 -3676479246494397727570343/200000000000000000000000000 2778827918183905639362141/200000000000000000000000000 -193803958506226010923254047/500000000000000000000000000 10465578858899947406285939/62500000000000000000000000 385227719753445199484484161/1000000000000000000000000000


--- 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 :
1633343203665682148257944117/1000000000000000000000000000 -261222987957288158948460171/250000000000000000000000000
-261222987957288158948460171/250000000000000000000000000 41777777802111313919701173/62500000000000000000000000


--- 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 :
1642876323706864243673636029/1000000000000000000000000000 -258453831331065270985954233/500000000000000000000000000 -49305130604100941694989281/100000000000000000000000000 6578885055349485239778601/15625000000000000000000000 116128808200311056531764571/1000000000000000000000000000 -66480954115850372287674473/100000000000000000000000000
-258453831331065270985954233/500000000000000000000000000 40659410550751514402382837/250000000000000000000000000 38782894789773028270737759/250000000000000000000000000 -16559620726709049564195951/125000000000000000000000000 -18269138677775529972807759/500000000000000000000000000 13073304007919408607749751/62500000000000000000000000
-49305130604100941694989281/100000000000000000000000000 38782894789773028270737759/250000000000000000000000000 151090268602092519100598217/250000000000000000000000000 -20777328781215800433633559/62500000000000000000000000 -59871345210274654730801711/500000000000000000000000000 49879776126017247404725647/250000000000000000000000000
6578885055349485239778601/15625000000000000000000000 -16559620726709049564195951/125000000000000000000000000 -20777328781215800433633559/62500000000000000000000000 584829693297296972857453969/1000000000000000000000000000 -44489210480396564215516483/1000000000000000000000000000 -42595591574255902484264681/250000000000000000000000000
116128808200311056531764571/1000000000000000000000000000 -18269138677775529972807759/500000000000000000000000000 -59871345210274654730801711/500000000000000000000000000 -44489210480396564215516483/1000000000000000000000000000 61037821031534038072256739/500000000000000000000000000 -23496455179134015766409959/500000000000000000000000000
-66480954115850372287674473/100000000000000000000000000 13073304007919408607749751/62500000000000000000000000 49879776126017247404725647/250000000000000000000000000 -42595591574255902484264681/250000000000000000000000000 -23496455179134015766409959/500000000000000000000000000 16813945442730742401533439/62500000000000000000000000


--- 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 :
1012282604658191678249318643/1000000000000000000000000000 -12140466175500323110676163/62500000000000000000000000
-12140466175500323110676163/62500000000000000000000000 304560814982113073722835409/500000000000000000000000000

