#Density : 191654750976177485704551639/500000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {45, 26, 46, 37, 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 :
7666189998513256558458281/20000000000000000000000000 11973176218837223214662181/40000000000000000000000000 467595845075874444123187/250000000000000000000000000 -38478299858258527177992449/100000000000000000000000000 -94428226548203195509118053/500000000000000000000000000 -176664247089668430928794401/500000000000000000000000000
11973176218837223214662181/40000000000000000000000000 4990681525361769453336737/8000000000000000000000000 -302695392723016074680120673/1000000000000000000000000000 4679894585892940307492713/200000000000000000000000000 -241985477264391059331518477/500000000000000000000000000 -29027479307311312577518429/500000000000000000000000000
467595845075874444123187/250000000000000000000000000 -302695392723016074680120673/1000000000000000000000000000 215505676843319590743611363/500000000000000000000000000 -63602764499762156851848053/250000000000000000000000000 130722819824674421055827261/500000000000000000000000000 -17159422093261016690472427/100000000000000000000000000
-38478299858258527177992449/100000000000000000000000000 4679894585892940307492713/200000000000000000000000000 -63602764499762156851848053/250000000000000000000000000 65517164501698261781873567/100000000000000000000000000 -44899207127224813234812353/500000000000000000000000000 267786207334582885990912859/500000000000000000000000000
-94428226548203195509118053/500000000000000000000000000 -241985477264391059331518477/500000000000000000000000000 130722819824674421055827261/500000000000000000000000000 -44899207127224813234812353/500000000000000000000000000 95827374864557297796107801/250000000000000000000000000 -692228328889765310319187/50000000000000000000000000
-176664247089668430928794401/500000000000000000000000000 -29027479307311312577518429/500000000000000000000000000 -17159422093261016690472427/100000000000000000000000000 267786207334582885990912859/500000000000000000000000000 -692228328889765310319187/50000000000000000000000000 22368386572320350723724949/50000000000000000000000000


--- 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 :
2118261307564819881536859/2500000000000000000000000 -40409417006839275463633023/50000000000000000000000000
-40409417006839275463633023/50000000000000000000000000 770877972892710758981810131/1000000000000000000000000000


--- 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 :
22368386572320350723724949/50000000000000000000000000 -692228328889765310319187/50000000000000000000000000 267786207334582885990912859/500000000000000000000000000 -17159422093261016690472427/100000000000000000000000000 -29027479307311312577518429/500000000000000000000000000 -176664247089668430928794401/500000000000000000000000000
-692228328889765310319187/50000000000000000000000000 95827374864557297796107801/250000000000000000000000000 -44899207127224813234812353/500000000000000000000000000 130722819824674421055827261/500000000000000000000000000 -241985477264391059331518477/500000000000000000000000000 -94428226548203195509118053/500000000000000000000000000
267786207334582885990912859/500000000000000000000000000 -44899207127224813234812353/500000000000000000000000000 65517164501698261781873567/100000000000000000000000000 -63602764499762156851848053/250000000000000000000000000 4679894585892940307492713/200000000000000000000000000 -38478299858258527177992449/100000000000000000000000000
-17159422093261016690472427/100000000000000000000000000 130722819824674421055827261/500000000000000000000000000 -63602764499762156851848053/250000000000000000000000000 215505676843319590743611363/500000000000000000000000000 -302695392723016074680120673/1000000000000000000000000000 467595845075874444123187/250000000000000000000000000
-29027479307311312577518429/500000000000000000000000000 -241985477264391059331518477/500000000000000000000000000 4679894585892940307492713/200000000000000000000000000 -302695392723016074680120673/1000000000000000000000000000 4990681525361769453336737/8000000000000000000000000 11973176218837223214662181/40000000000000000000000000
-176664247089668430928794401/500000000000000000000000000 -94428226548203195509118053/500000000000000000000000000 -38478299858258527177992449/100000000000000000000000000 467595845075874444123187/250000000000000000000000000 11973176218837223214662181/40000000000000000000000000 7666189998513256558458281/20000000000000000000000000


--- 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 :
770877972892710758981810131/1000000000000000000000000000 -40409417006839275463633023/50000000000000000000000000
-40409417006839275463633023/50000000000000000000000000 2118261307564819881536859/2500000000000000000000000

