#Density : 168958769944125324610860937/500000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {04, 15, 26, 46, 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 :
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 :
10559923003648484531666137/31250000000000000000000000 309679413003573497801759/6250000000000000000000000 -12751465162962005384287829/31250000000000000000000000 3087458696590877795011169/7812500000000000000000000 15943495114961904827134071/62500000000000000000000000 -54071026775622532008663277/125000000000000000000000000
309679413003573497801759/6250000000000000000000000 227040809874048444982321/31250000000000000000000000 -1869741969348282923439419/31250000000000000000000000 226356384535829015168023/3906250000000000000000000 2337787977741643454174313/62500000000000000000000000 -1585682379179275595571863/25000000000000000000000000
-12751465162962005384287829/31250000000000000000000000 -1869741969348282923439419/31250000000000000000000000 3849456661427713776740041/7812500000000000000000000 -14912844344815899805761943/31250000000000000000000000 -2406538883645808739434963/7812500000000000000000000 8161574828915862958031683/15625000000000000000000000
3087458696590877795011169/7812500000000000000000000 226356384535829015168023/3906250000000000000000000 -14912844344815899805761943/31250000000000000000000000 14443137435545572473096979/31250000000000000000000000 3729184966999396180814373/12500000000000000000000000 -63236090564037264958400051/125000000000000000000000000
15943495114961904827134071/62500000000000000000000000 2337787977741643454174313/62500000000000000000000000 -2406538883645808739434963/7812500000000000000000000 3729184966999396180814373/12500000000000000000000000 6798808111765689771421743/31250000000000000000000000 -20409266975360721963156369/62500000000000000000000000
-54071026775622532008663277/125000000000000000000000000 -1585682379179275595571863/25000000000000000000000000 8161574828915862958031683/15625000000000000000000000 -63236090564037264958400051/125000000000000000000000000 -20409266975360721963156369/62500000000000000000000000 69216317570685651175658623/125000000000000000000000000


--- 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 :
136204516455866141858934819/250000000000000000000000000 527037954123175911413739/2500000000000000000000000
527037954123175911413739/2500000000000000000000000 25533794123728541230542543/125000000000000000000000000


--- 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 :
341782499202797143997392623/250000000000000000000000000 71329492292048343560666459/250000000000000000000000000 -489207179427907450740017143/250000000000000000000000000 384107414476024182263853711/250000000000000000000000000 -8036227864316203423189677/15625000000000000000000000 415465780368573981938513/6250000000000000000000000
71329492292048343560666459/250000000000000000000000000 20728222982438787381908691/100000000000000000000000000 -73952987428485858680321301/250000000000000000000000000 110417160767382911962611109/250000000000000000000000000 -160838668372990603272007731/500000000000000000000000000 115930025983078516548076771/500000000000000000000000000
-489207179427907450740017143/250000000000000000000000000 -73952987428485858680321301/250000000000000000000000000 722537360427746837447472903/250000000000000000000000000 -525799722479217837866373599/250000000000000000000000000 14155372989045468033739779/25000000000000000000000000 9711782893652176849712533/125000000000000000000000000
384107414476024182263853711/250000000000000000000000000 110417160767382911962611109/250000000000000000000000000 -525799722479217837866373599/250000000000000000000000000 457461594857826237250253127/250000000000000000000000000 -95088201499787980516273929/125000000000000000000000000 6512776948526953450927273/25000000000000000000000000
-8036227864316203423189677/15625000000000000000000000 -160838668372990603272007731/500000000000000000000000000 14155372989045468033739779/25000000000000000000000000 -95088201499787980516273929/125000000000000000000000000 258534079569281064833999427/500000000000000000000000000 -177046845069474009197212539/500000000000000000000000000
415465780368573981938513/6250000000000000000000000 115930025983078516548076771/500000000000000000000000000 9711782893652176849712533/125000000000000000000000000 6512776948526953450927273/25000000000000000000000000 -177046845069474009197212539/500000000000000000000000000 33791753637303242423303671/100000000000000000000000000


--- 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 :
279931857117978537767222379/1000000000000000000000000000 348343390425250323136420659/1000000000000000000000000000
348343390425250323136420659/1000000000000000000000000000 851558401429887189959871579/1000000000000000000000000000

