#Density : 3219834872756224916462652071/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 26, 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 :
268319570608310943156497661/1000000000000000000000000000 -6455249860980034921296519/40000000000000000000000000 -37789615878105882189199359/62500000000000000000000000 174134202913497758293172523/1000000000000000000000000000 79759857547307738721504531/250000000000000000000000000 -133023312011603748803814261/1000000000000000000000000000
-6455249860980034921296519/40000000000000000000000000 20620247565244460410724149/200000000000000000000000000 214671408493691852172744227/500000000000000000000000000 -170354720653799944485816323/1000000000000000000000000000 -21950593751725829616767429/100000000000000000000000000 113306467099026926446513633/1000000000000000000000000000
-37789615878105882189199359/62500000000000000000000000 214671408493691852172744227/500000000000000000000000000 1038508914507367761928432999/500000000000000000000000000 -69139778599311829382580463/62500000000000000000000000 -25484304824722721149960051/25000000000000000000000000 330996102449811319119972337/500000000000000000000000000
174134202913497758293172523/1000000000000000000000000000 -170354720653799944485816323/1000000000000000000000000000 -69139778599311829382580463/62500000000000000000000000 6609294376901918348492191/8000000000000000000000000 50720626173574017622890827/100000000000000000000000000 -448216277286956612055966547/1000000000000000000000000000
79759857547307738721504531/250000000000000000000000000 -21950593751725829616767429/100000000000000000000000000 -25484304824722721149960051/25000000000000000000000000 50720626173574017622890827/100000000000000000000000000 252839102028782563173816163/500000000000000000000000000 -77620384631065070841758173/250000000000000000000000000
-133023312011603748803814261/1000000000000000000000000000 113306467099026926446513633/1000000000000000000000000000 330996102449811319119972337/500000000000000000000000000 -448216277286956612055966547/1000000000000000000000000000 -77620384631065070841758173/250000000000000000000000000 379456492406695985582528123/1000000000000000000000000000


--- 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 :
118394128048415485463621347/1000000000000000000000000000 126854252558108187954838227/1000000000000000000000000000
126854252558108187954838227/1000000000000000000000000000 135918914707456754176250307/1000000000000000000000000000


--- 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 :
714640307105731792336775563/500000000000000000000000000 194651212623741410108829317/1000000000000000000000000000 46381186141322800094879873/1000000000000000000000000000 -1608800451801869864974999571/1000000000000000000000000000 1751101902837944848217053/62500000000000000000000000 409329143874671144502696311/1000000000000000000000000000
194651212623741410108829317/1000000000000000000000000000 30960936904403953071675761/1000000000000000000000000000 1097061939654291332103999/100000000000000000000000000 -31148479662142963937362191/125000000000000000000000000 37287730664666585763341/62500000000000000000000000 40840398295540335800512551/500000000000000000000000000
46381186141322800094879873/1000000000000000000000000000 1097061939654291332103999/100000000000000000000000000 229557995717825735973937093/1000000000000000000000000000 -83662275139362304858856953/1000000000000000000000000000 -18810522619348460864215553/250000000000000000000000000 40396666128837155180867903/1000000000000000000000000000
-1608800451801869864974999571/1000000000000000000000000000 -31148479662142963937362191/125000000000000000000000000 -83662275139362304858856953/1000000000000000000000000000 2014226424822508791245899633/1000000000000000000000000000 -488990601516136694792687/50000000000000000000000000 -636029556947672344931788211/1000000000000000000000000000
1751101902837944848217053/62500000000000000000000000 37287730664666585763341/62500000000000000000000000 -18810522619348460864215553/250000000000000000000000000 -488990601516136694792687/50000000000000000000000000 705621782117156131758789/10000000000000000000000000 -2682447726836051648358523/250000000000000000000000000
409329143874671144502696311/1000000000000000000000000000 40840398295540335800512551/500000000000000000000000000 40396666128837155180867903/1000000000000000000000000000 -636029556947672344931788211/1000000000000000000000000000 -2682447726836051648358523/250000000000000000000000000 268319570982580903077527421/1000000000000000000000000000


--- 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 :
3318332871616931146651/24414062500000000000000 -17372074477502598789318289/500000000000000000000000000
-17372074477502598789318289/500000000000000000000000000 5459326063431297387851813/12500000000000000000000000

