#Density : 5889877599826009118776572127/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 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 :
245411565629232316317471319/500000000000000000000000000 -15610370861451506283852151/62500000000000000000000000 -11644657472165759655246789/250000000000000000000000000 -3089421197650291733299931/3906250000000000000000000 150533544175635609268917243/500000000000000000000000000 22461436048982641256652243/125000000000000000000000000
-15610370861451506283852151/62500000000000000000000000 1221895651270467942741072487/1000000000000000000000000000 -188786364229796742000454881/1000000000000000000000000000 -1298649858868325870422971673/1000000000000000000000000000 -324649889152137602226568989/500000000000000000000000000 10129208942230200787691099/200000000000000000000000000
-11644657472165759655246789/250000000000000000000000000 -188786364229796742000454881/1000000000000000000000000000 457471554201270801946663903/1000000000000000000000000000 405223381331797315341675223/1000000000000000000000000000 33858033972113418326792897/500000000000000000000000000 -44801907479960635024848613/200000000000000000000000000
-3089421197650291733299931/3906250000000000000000000 -1298649858868325870422971673/1000000000000000000000000000 405223381331797315341675223/1000000000000000000000000000 3917624282240771674778271467/1000000000000000000000000000 5714272321205759619722459/20000000000000000000000000 -510322643798736746508998469/1000000000000000000000000000
150533544175635609268917243/500000000000000000000000000 -324649889152137602226568989/500000000000000000000000000 33858033972113418326792897/500000000000000000000000000 5714272321205759619722459/20000000000000000000000000 204736199692689371786263901/500000000000000000000000000 4583666426394244124575363/100000000000000000000000000
22461436048982641256652243/125000000000000000000000000 10129208942230200787691099/200000000000000000000000000 -44801907479960635024848613/200000000000000000000000000 -510322643798736746508998469/1000000000000000000000000000 4583666426394244124575363/100000000000000000000000000 75491457112699111373092047/200000000000000000000000000


--- 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 :
233540596891799991102112731/250000000000000000000000000 280633017632446990762160409/250000000000000000000000000
280633017632446990762160409/250000000000000000000000000 337221415178538161153958051/250000000000000000000000000


--- 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 :
13189120930284257324073169/500000000000000000000000000 -8784968088006457329845193/250000000000000000000000000 -1041899982986953174351419/250000000000000000000000000 -4896225315224336370758431/100000000000000000000000000 -9452913739920853985175501/250000000000000000000000000 53651591800788512727531479/500000000000000000000000000
-8784968088006457329845193/250000000000000000000000000 731432980969988246146047/15625000000000000000000000 2775941739109772699143361/500000000000000000000000000 65225246683443534280390543/1000000000000000000000000000 50370935823731506671668973/1000000000000000000000000000 -2233505194982495229275387/15625000000000000000000000
-1041899982986953174351419/250000000000000000000000000 2775941739109772699143361/500000000000000000000000000 115269694967221240467699387/250000000000000000000000000 -3641870807273712142995391/25000000000000000000000000 -17516181694332527319977199/250000000000000000000000000 -8476621245666376977489993/500000000000000000000000000
-4896225315224336370758431/100000000000000000000000000 65225246683443534280390543/1000000000000000000000000000 -3641870807273712142995391/25000000000000000000000000 509279140892261876645976669/1000000000000000000000000000 -8052586398511673573659263/1000000000000000000000000000 -199171941611366871226353543/1000000000000000000000000000
-9452913739920853985175501/250000000000000000000000000 50370935823731506671668973/1000000000000000000000000000 -17516181694332527319977199/250000000000000000000000000 -8052586398511673573659263/1000000000000000000000000000 160951028965101508125739059/1000000000000000000000000000 -153812789153644635886984503/1000000000000000000000000000
53651591800788512727531479/500000000000000000000000000 -2233505194982495229275387/15625000000000000000000000 -8476621245666376977489993/500000000000000000000000000 -199171941611366871226353543/1000000000000000000000000000 -153812789153644635886984503/1000000000000000000000000000 218247547958179097901705517/500000000000000000000000000


--- 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 :
514702192590017568015161/625000000000000000000000 3562300688746103666767307/10000000000000000000000000
3562300688746103666767307/10000000000000000000000000 10569313690270498710156097/20000000000000000000000000

