#Density : 3571238270763952634193470171/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 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 :
9541164855211782244281967/1000000000000000000000000000 -795664320534961057108981/62500000000000000000000000
-795664320534961057108981/62500000000000000000000000 66352664541431292095383/3906250000000000000000000


--- 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 :
288062022407839262468327463/1000000000000000000000000000 -230379648577536064074209949/1000000000000000000000000000 202340505498890963425444293/500000000000000000000000000 -470089162646004001771236149/1000000000000000000000000000 6166252213232889270843829/250000000000000000000000000 162143022095012152489929147/1000000000000000000000000000
-230379648577536064074209949/1000000000000000000000000000 21235359810024452711409059/100000000000000000000000000 -445340449252528036848686089/1000000000000000000000000000 492887426780890904911753351/1000000000000000000000000000 -15134197708291405879633729/1000000000000000000000000000 -213962136647569064580079783/1000000000000000000000000000
202340505498890963425444293/500000000000000000000000000 -445340449252528036848686089/1000000000000000000000000000 1095427961670703212520847669/1000000000000000000000000000 -291672510993052149911321269/250000000000000000000000000 14768523468004939741387089/1000000000000000000000000000 74091889692916017299939161/125000000000000000000000000
-470089162646004001771236149/1000000000000000000000000000 492887426780890904911753351/1000000000000000000000000000 -291672510993052149911321269/250000000000000000000000000 1253611272067299367370588369/1000000000000000000000000000 -5286823721112404648806559/250000000000000000000000000 -615265941301600078406225297/1000000000000000000000000000
6166252213232889270843829/250000000000000000000000000 -15134197708291405879633729/1000000000000000000000000000 14768523468004939741387089/1000000000000000000000000000 -5286823721112404648806559/250000000000000000000000000 27587386685472103476421319/1000000000000000000000000000 56419850201805768100159/500000000000000000000000000
162143022095012152489929147/1000000000000000000000000000 -213962136647569064580079783/1000000000000000000000000000 74091889692916017299939161/125000000000000000000000000 -615265941301600078406225297/1000000000000000000000000000 56419850201805768100159/500000000000000000000000000 344036427552660453835278011/1000000000000000000000000000


--- 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 :
1658360162528231298660447133/1000000000000000000000000000 31589320662210989847998913/62500000000000000000000000
31589320662210989847998913/62500000000000000000000000 2126600649896382978855453/3906250000000000000000000


--- 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 :
1440823048015075080606012331/1000000000000000000000000000 -234134887591481278230271043/1000000000000000000000000000 -396586098214137101347056381/1000000000000000000000000000 11247398216473352192733947/200000000000000000000000000 -822393210367017850616048381/1000000000000000000000000000 -258944647735739800754022363/500000000000000000000000000
-234134887591481278230271043/1000000000000000000000000000 106310832978329911757444723/1000000000000000000000000000 -9146217757490735999651603/1000000000000000000000000000 8620981232028699815945997/200000000000000000000000000 152536504121300075157807117/1000000000000000000000000000 21488354381411369640722257/500000000000000000000000000
-396586098214137101347056381/1000000000000000000000000000 -9146217757490735999651603/1000000000000000000000000000 181421563323544845312737147/500000000000000000000000000 -30400924250531854438567637/200000000000000000000000000 94327743016254674479764663/500000000000000000000000000 6402721909489523389530129/31250000000000000000000000
11247398216473352192733947/200000000000000000000000000 8620981232028699815945997/200000000000000000000000000 -30400924250531854438567637/200000000000000000000000000 19873526923112199788460343/200000000000000000000000000 623368366229263211474891/200000000000000000000000000 -9707170973017454407048827/100000000000000000000000000
-822393210367017850616048381/1000000000000000000000000000 152536504121300075157807117/1000000000000000000000000000 94327743016254674479764663/500000000000000000000000000 623368366229263211474891/200000000000000000000000000 242203526645457783530450127/500000000000000000000000000 16191495290681894077536741/62500000000000000000000000
-258944647735739800754022363/500000000000000000000000000 21488354381411369640722257/500000000000000000000000000 6402721909489523389530129/31250000000000000000000000 -9707170973017454407048827/100000000000000000000000000 16191495290681894077536741/62500000000000000000000000 140308451754470105569977647/500000000000000000000000000


--- 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 :
418424729411676577024623531/1000000000000000000000000000 47271304693103681775742443/1000000000000000000000000000
47271304693103681775742443/1000000000000000000000000000 23853008961224954325428451/1000000000000000000000000000

