#Density : 3879829202314631911954704347/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 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 :
1003742936130776115055977/20000000000000000000000000 -205606099081958316879501/4000000000000000000000000
-205606099081958316879501/4000000000000000000000000 42116229622155232526913/800000000000000000000000


--- 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 :
273131950723184339581709039/1000000000000000000000000000 18014434700186967665158319/1000000000000000000000000000 -37044210139235740718525017/125000000000000000000000000 -45735805292375049525775223/1000000000000000000000000000 -23566613346453883585716889/500000000000000000000000000 -6023103298355828582379167/250000000000000000000000000
18014434700186967665158319/1000000000000000000000000000 6729552714501473014596983/1000000000000000000000000000 -5966041500033675809034287/250000000000000000000000000 -85899541487606833468807283/1000000000000000000000000000 -10206283893120459339405481/500000000000000000000000000 810768625685759320698059/12500000000000000000000000
-37044210139235740718525017/125000000000000000000000000 -5966041500033675809034287/250000000000000000000000000 32491463637553399131322421/100000000000000000000000000 57105417385675486174250071/500000000000000000000000000 1009758632820480464465501/15625000000000000000000000 -12820384714436016116279231/500000000000000000000000000
-45735805292375049525775223/1000000000000000000000000000 -85899541487606833468807283/1000000000000000000000000000 57105417385675486174250071/500000000000000000000000000 623671263114298593214464429/500000000000000000000000000 53341458789507084772202349/200000000000000000000000000 -39594720575926837994793771/40000000000000000000000000
-23566613346453883585716889/500000000000000000000000000 -10206283893120459339405481/500000000000000000000000000 1009758632820480464465501/15625000000000000000000000 53341458789507084772202349/200000000000000000000000000 105508353737722958920373253/1000000000000000000000000000 -203344272386948111588880459/1000000000000000000000000000
-6023103298355828582379167/250000000000000000000000000 810768625685759320698059/12500000000000000000000000 -12820384714436016116279231/500000000000000000000000000 -39594720575926837994793771/40000000000000000000000000 -203344272386948111588880459/1000000000000000000000000000 159794942902343745377510151/200000000000000000000000000


--- 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 :
472718364330963988600809259/500000000000000000000000000 699461413657642128300831/6250000000000000000000000
699461413657642128300831/6250000000000000000000000 228165310082647595963355691/500000000000000000000000000


--- 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 :
522568783961658397236182147/1000000000000000000000000000 9289187004186656468858757/100000000000000000000000000 -409661662858293285391426441/1000000000000000000000000000 562476339445524354782463267/1000000000000000000000000000 -37803356527726909139101861/100000000000000000000000000 1665622525784987494856767/125000000000000000000000000
9289187004186656468858757/100000000000000000000000000 12899143599255287865614397/250000000000000000000000000 -53292775842169511996195273/500000000000000000000000000 64060385503075984773334451/500000000000000000000000000 -9069541040666421106868643/125000000000000000000000000 17397761907082182342243/1562500000000000000000000
-409661662858293285391426441/1000000000000000000000000000 -53292775842169511996195273/500000000000000000000000000 355575379076527030143519069/200000000000000000000000000 -329363560039327942716834971/200000000000000000000000000 126456685593705192354221747/250000000000000000000000000 -44564097422792133356675991/125000000000000000000000000
562476339445524354782463267/1000000000000000000000000000 64060385503075984773334451/500000000000000000000000000 -329363560039327942716834971/200000000000000000000000000 323056111583728468901998929/200000000000000000000000000 -19119747435524933094891043/31250000000000000000000000 43450026221227617180917827/125000000000000000000000000
-37803356527726909139101861/100000000000000000000000000 -9069541040666421106868643/125000000000000000000000000 126456685593705192354221747/250000000000000000000000000 -19119747435524933094891043/31250000000000000000000000 194515792562841660823650671/500000000000000000000000000 -9308938977685707023288573/50000000000000000000000000
1665622525784987494856767/125000000000000000000000000 17397761907082182342243/1562500000000000000000000 -44564097422792133356675991/125000000000000000000000000 43450026221227617180917827/125000000000000000000000000 -9308938977685707023288573/50000000000000000000000000 67668452725570252935012527/250000000000000000000000000


--- 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 :
560832414325081873461935737/1000000000000000000000000000 25584581266605770520585171/250000000000000000000000000
25584581266605770520585171/250000000000000000000000000 14201108138306455116204843/15625000000000000000000000

