#Density : 2316598113512529466144558369/6000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 26, 46, 37, 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 :
19304984175993559876342609/50000000000000000000000000 -2548344482801582452403677/100000000000000000000000000 -97704340801546320437138513/100000000000000000000000000 16292495882847729210264461/50000000000000000000000000 1149154903470207477575899/6250000000000000000000000 -33410686315985583436870849/50000000000000000000000000
-2548344482801582452403677/100000000000000000000000000 47625086825651667814659197/1000000000000000000000000000 113676567669511870391912881/1000000000000000000000000000 66935256869285555794483931/500000000000000000000000000 -1001398039451851427313899/6250000000000000000000000 -21442689982711161650929159/500000000000000000000000000
-97704340801546320437138513/100000000000000000000000000 113676567669511870391912881/1000000000000000000000000000 2525119590870939378625693493/1000000000000000000000000000 -329111037807886935178795817/500000000000000000000000000 -1949471099844719706353369/3125000000000000000000000 798905271830517624975753613/500000000000000000000000000
16292495882847729210264461/50000000000000000000000000 66935256869285555794483931/500000000000000000000000000 -329111037807886935178795817/500000000000000000000000000 200120084203630917374184743/250000000000000000000000000 -8641341663990326207997043/25000000000000000000000000 -214533312124212790892291827/250000000000000000000000000
1149154903470207477575899/6250000000000000000000000 -1001398039451851427313899/6250000000000000000000000 -1949471099844719706353369/3125000000000000000000000 -8641341663990326207997043/25000000000000000000000000 14122254899928936841671953/25000000000000000000000000 -945485331718104156258553/25000000000000000000000000
-33410686315985583436870849/50000000000000000000000000 -21442689982711161650929159/500000000000000000000000000 798905271830517624975753613/500000000000000000000000000 -214533312124212790892291827/250000000000000000000000000 -945485331718104156258553/25000000000000000000000000 330291848241784923976793903/250000000000000000000000000


--- 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 :
116583151511174127981948889/250000000000000000000000000 826927849547680108118299/2000000000000000000000000
826927849547680108118299/2000000000000000000000000 5865424458799346020609/16000000000000000000000


--- 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 :
404512886494211023878813219/250000000000000000000000000 -281029654866542730802766139/500000000000000000000000000 25679452609869210037050033/100000000000000000000000000 -1084805884253664812697675807/500000000000000000000000000 589440415045572453919029591/500000000000000000000000000 19905714963236837942880597/62500000000000000000000000
-281029654866542730802766139/500000000000000000000000000 207309169828807215960018819/1000000000000000000000000000 -25314164580143044508857209/200000000000000000000000000 704134491039912900148046727/1000000000000000000000000000 -413814346853260150484547231/1000000000000000000000000000 -6020145690530759621639877/125000000000000000000000000
25679452609869210037050033/100000000000000000000000000 -25314164580143044508857209/200000000000000000000000000 31293859567602252554711383/200000000000000000000000000 -7639639004927014014772097/40000000000000000000000000 40087648084529924378033133/200000000000000000000000000 -3572599688070031648603049/25000000000000000000000000
-1084805884253664812697675807/500000000000000000000000000 704134491039912900148046727/1000000000000000000000000000 -7639639004927014014772097/40000000000000000000000000 3112385861868202847304329531/1000000000000000000000000000 -1563055660089258077722736883/1000000000000000000000000000 -85426283682734878701842561/125000000000000000000000000
589440415045572453919029591/500000000000000000000000000 -413814346853260150484547231/1000000000000000000000000000 40087648084529924378033133/200000000000000000000000000 -1563055660089258077722736883/1000000000000000000000000000 860448123553554380816450859/1000000000000000000000000000 26217544029883407346600953/125000000000000000000000000
19905714963236837942880597/62500000000000000000000000 -6020145690530759621639877/125000000000000000000000000 -3572599688070031648603049/25000000000000000000000000 -85426283682734878701842561/125000000000000000000000000 26217544029883407346600953/125000000000000000000000000 6032807553169403957995151/15625000000000000000000000


--- 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 :
22911814288135140994336113/62500000000000000000000000 -39850096803708145339395621/62500000000000000000000000
-39850096803708145339395621/62500000000000000000000000 69310539763202860951844457/62500000000000000000000000

