#Density : 1216574719934635099157978491/2400000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 26, 46, 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 :
1267265326979337710545751/2500000000000000000000000 -171382229323495369362854819/500000000000000000000000000 -64783676837974003524561993/500000000000000000000000000 279063679004337199048263543/250000000000000000000000000 -218004289616129768208469911/500000000000000000000000000 -83421110166434137320549827/500000000000000000000000000
-171382229323495369362854819/500000000000000000000000000 496574296786454010165445981/1000000000000000000000000000 -24214074574936434016868549/1000000000000000000000000000 -9623469365302426389822263/250000000000000000000000000 -7271201899881559761043391/62500000000000000000000000 -4307630571031386257570819/250000000000000000000000000
-64783676837974003524561993/500000000000000000000000000 -24214074574936434016868549/1000000000000000000000000000 111377076193960623530154553/200000000000000000000000000 -29390871018384710109775079/50000000000000000000000000 71270310233545600479511601/250000000000000000000000000 -3477523938269288921408873/25000000000000000000000000
279063679004337199048263543/250000000000000000000000000 -9623469365302426389822263/250000000000000000000000000 -29390871018384710109775079/50000000000000000000000000 21978785404968847430339503/5000000000000000000000000 -1036179820848681453183708029/500000000000000000000000000 -4494938523103669750568351/6250000000000000000000000
-218004289616129768208469911/500000000000000000000000000 -7271201899881559761043391/62500000000000000000000000 71270310233545600479511601/250000000000000000000000000 -1036179820848681453183708029/500000000000000000000000000 506726151073718363800830523/500000000000000000000000000 86358867139069850019642109/250000000000000000000000000
-83421110166434137320549827/500000000000000000000000000 -4307630571031386257570819/250000000000000000000000000 -3477523938269288921408873/25000000000000000000000000 -4494938523103669750568351/6250000000000000000000000 86358867139069850019642109/250000000000000000000000000 97690315195313665607750573/200000000000000000000000000


--- 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 :
0/1 0/1
0/1 0/1


--- 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 :
8368774501084984233313841/500000000000000000000000000 -1963636758026201216609/800000000000000000000000 6338595823697445981758571/500000000000000000000000000 1395484198694144966245889/31250000000000000000000000 9554377909673093029368511/500000000000000000000000000 -921106193135070649277709/10000000000000000000000000
-1963636758026201216609/800000000000000000000000 359956873480600898928107/1000000000000000000000000000 -1859098275216537774541289/1000000000000000000000000000 -6548686578215371425875261/1000000000000000000000000000 -2802281219079471283193391/1000000000000000000000000000 6753968198431830297704047/500000000000000000000000000
6338595823697445981758571/500000000000000000000000000 -1859098275216537774541289/1000000000000000000000000000 18640305430527340910402881/25000000000000000000000000 -49092303763561155619656713/200000000000000000000000000 -17635247069730170972613197/125000000000000000000000000 -2180172778045924931562689/31250000000000000000000000
1395484198694144966245889/31250000000000000000000000 -6548686578215371425875261/1000000000000000000000000000 -49092303763561155619656713/200000000000000000000000000 128033073609594198216585373/200000000000000000000000000 -20578919167897908929381919/1000000000000000000000000000 -122874778643407985996458501/500000000000000000000000000
9554377909673093029368511/500000000000000000000000000 -2802281219079471283193391/1000000000000000000000000000 -17635247069730170972613197/125000000000000000000000000 -20578919167897908929381919/1000000000000000000000000000 545769498099806270042287/3125000000000000000000000 -3286247533307214404323441/31250000000000000000000000
-921106193135070649277709/10000000000000000000000000 6753968198431830297704047/500000000000000000000000000 -2180172778045924931562689/31250000000000000000000000 -122874778643407985996458501/500000000000000000000000000 -3286247533307214404323441/31250000000000000000000000 15840816562392607555925789/31250000000000000000000000


--- 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 :
0/1 0/1
0/1 78014913/125000000

