#Density : 312810443729573429165717701/1000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 15, 26, 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 :
312810440237835155174502843/1000000000000000000000000000 -41940752686003433438391069/1000000000000000000000000000 28347692261263972632646999/125000000000000000000000000 -454653273372421917749209087/1000000000000000000000000000 -11898550752765834068071427/250000000000000000000000000 4504372537938291103138989/40000000000000000000000000
-41940752686003433438391069/1000000000000000000000000000 493191622690748425722093563/1000000000000000000000000000 -215111327530286081310326743/250000000000000000000000000 673208573139808503672153261/1000000000000000000000000000 -68703597522945687062143841/250000000000000000000000000 -646584349175612346126271859/1000000000000000000000000000
28347692261263972632646999/125000000000000000000000000 -215111327530286081310326743/250000000000000000000000000 788737729097376163587108607/500000000000000000000000000 -685956300212232262027917139/500000000000000000000000000 27762765724320304452576751/62500000000000000000000000 289171232901916276190252081/250000000000000000000000000
-454653273372421917749209087/1000000000000000000000000000 673208573139808503672153261/1000000000000000000000000000 -685956300212232262027917139/500000000000000000000000000 1429629533532001644117558353/1000000000000000000000000000 -70981945512340668801819757/250000000000000000000000000 -191328410515164912168222553/200000000000000000000000000
-11898550752765834068071427/250000000000000000000000000 -68703597522945687062143841/250000000000000000000000000 27762765724320304452576751/62500000000000000000000000 -70981945512340668801819757/250000000000000000000000000 21176962205712213385117189/125000000000000000000000000 86765978281120993444192813/250000000000000000000000000
4504372537938291103138989/40000000000000000000000000 -646584349175612346126271859/1000000000000000000000000000 289171232901916276190252081/250000000000000000000000000 -191328410515164912168222553/200000000000000000000000000 86765978281120993444192813/250000000000000000000000000 917487959932362929880528491/1000000000000000000000000000


--- 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 :
300840782760973307894433119/250000000000000000000000000 52098141070704560582135931/62500000000000000000000000
52098141070704560582135931/62500000000000000000000000 9022102249945136576592519/15625000000000000000000000


--- 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 :
307498064228659634420748059/500000000000000000000000000 -231434664777446902844298153/500000000000000000000000000 -64784794618673340831306527/250000000000000000000000000 267696130497343493503072931/500000000000000000000000000 -4275081509499323156943101/20000000000000000000000000 -15173507686668068146866417/50000000000000000000000000
-231434664777446902844298153/500000000000000000000000000 45620518363835429951906263/100000000000000000000000000 27023627060824372741652919/250000000000000000000000000 -178980074453069299206256841/500000000000000000000000000 102124157506290120616257651/500000000000000000000000000 23950135146042144658995031/250000000000000000000000000
-64784794618673340831306527/250000000000000000000000000 27023627060824372741652919/250000000000000000000000000 305266746013814712775631497/1000000000000000000000000000 -52375306288079520148169323/200000000000000000000000000 2911273989440812748010143/100000000000000000000000000 234787721620503371939685441/1000000000000000000000000000
267696130497343493503072931/500000000000000000000000000 -178980074453069299206256841/500000000000000000000000000 -52375306288079520148169323/200000000000000000000000000 60608530445633265716449889/125000000000000000000000000 -167989166254284977637210427/1000000000000000000000000000 -159761033304323742640167353/500000000000000000000000000
-4275081509499323156943101/20000000000000000000000000 102124157506290120616257651/500000000000000000000000000 2911273989440812748010143/100000000000000000000000000 -167989166254284977637210427/1000000000000000000000000000 115567643945249820259316203/1000000000000000000000000000 52145786999303037485932671/1000000000000000000000000000
-15173507686668068146866417/50000000000000000000000000 23950135146042144658995031/250000000000000000000000000 234787721620503371939685441/1000000000000000000000000000 -159761033304323742640167353/500000000000000000000000000 52145786999303037485932671/1000000000000000000000000000 156405220255960569134694833/500000000000000000000000000


--- 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 :
144353636031188638213049313/250000000000000000000000000 4722919171168715141843709/12500000000000000000000000
4722919171168715141843709/12500000000000000000000000 101704860432290727204347763/250000000000000000000000000

