#Density : 828261880653095620576609177/2000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {04, 15, 26, 37, 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 :
27287420624619086441411783/1000000000000000000000000000 -35115036297428584899839759/1000000000000000000000000000
-35115036297428584899839759/1000000000000000000000000000 45188066367007151596733207/1000000000000000000000000000


--- 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 :
77368703162352202102875431/200000000000000000000000000 235927917830275374907799333/500000000000000000000000000 -448424171911464589649260071/500000000000000000000000000 77368703162352202102875431/200000000000000000000000000 -33292696785912397692366461/250000000000000000000000000 -49788880785776771791902343/125000000000000000000000000
235927917830275374907799333/500000000000000000000000000 101976140061760451499373337/125000000000000000000000000 -159467660597384330979267733/125000000000000000000000000 235927917830275374907799333/500000000000000000000000000 -67027990532288706254710687/250000000000000000000000000 -55063756183195933699014027/125000000000000000000000000
-448424171911464589649260071/500000000000000000000000000 -159467660597384330979267733/125000000000000000000000000 2216799772807936304142987817/1000000000000000000000000000 -448424171911464589649260071/500000000000000000000000000 48588007929610037563692263/125000000000000000000000000 88913083329670336474872739/100000000000000000000000000
77368703162352202102875431/200000000000000000000000000 235927917830275374907799333/500000000000000000000000000 -448424171911464589649260071/500000000000000000000000000 77368703162352202102875431/200000000000000000000000000 -33292696785912397692366461/250000000000000000000000000 -49788880785776771791902343/125000000000000000000000000
-33292696785912397692366461/250000000000000000000000000 -67027990532288706254710687/250000000000000000000000000 48588007929610037563692263/125000000000000000000000000 -33292696785912397692366461/250000000000000000000000000 37465397941211631238765343/250000000000000000000000000 7323686200461043704643049/62500000000000000000000000
-49788880785776771791902343/125000000000000000000000000 -55063756183195933699014027/125000000000000000000000000 88913083329670336474872739/100000000000000000000000000 -49788880785776771791902343/125000000000000000000000000 7323686200461043704643049/62500000000000000000000000 104668072018511966489584069/250000000000000000000000000


--- 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 :
51788193031094800265819703/200000000000000000000000000 392893016116246030019559/4000000000000000000000000
392893016116246030019559/4000000000000000000000000 8464126600746082267222823/12500000000000000000000000


--- 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 :
85799577152913040777581077/500000000000000000000000000 70157514613679394719023791/500000000000000000000000000 -105344448378759981051232499/500000000000000000000000000 146259503056854711903653201/500000000000000000000000000 -180771023509518949788059/781250000000000000000000 -123805458495170861651547339/500000000000000000000000000
70157514613679394719023791/500000000000000000000000000 135351172529496812334035731/500000000000000000000000000 -15929261932541754457200707/100000000000000000000000000 39412397058855523406682037/100000000000000000000000000 -227071016322770882000817533/500000000000000000000000000 -29598922732794432510363341/125000000000000000000000000
-105344448378759981051232499/500000000000000000000000000 -15929261932541754457200707/100000000000000000000000000 130175403658805238077186471/500000000000000000000000000 -169628517816540454835030849/500000000000000000000000000 125036094803394718059907613/500000000000000000000000000 7490204445359264839444149/25000000000000000000000000
146259503056854711903653201/500000000000000000000000000 39412397058855523406682037/100000000000000000000000000 -169628517816540454835030849/500000000000000000000000000 368019091983746835137371391/500000000000000000000000000 -400189808496062299878008237/500000000000000000000000000 -4746824751922644393330063/10000000000000000000000000
-180771023509518949788059/781250000000000000000000 -227071016322770882000817533/500000000000000000000000000 125036094803394718059907613/500000000000000000000000000 -400189808496062299878008237/500000000000000000000000000 1006172963835815992241585611/1000000000000000000000000000 423810082630061441320900869/1000000000000000000000000000
-123805458495170861651547339/500000000000000000000000000 -29598922732794432510363341/125000000000000000000000000 7490204445359264839444149/25000000000000000000000000 -4746824751922644393330063/10000000000000000000000000 423810082630061441320900869/1000000000000000000000000000 368942869729974856147134957/1000000000000000000000000000


--- 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 :
158909353031525816496277881/250000000000000000000000000 801187987758169837726089/6250000000000000000000000
801187987758169837726089/6250000000000000000000000 14430597166590255907569207/50000000000000000000000000

