#Density : 478463142674294466594359209/1000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {26, 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 :
14951973142360953962242429/31250000000000000000000000 -3620617840117970186361911/31250000000000000000000000 948247485124267356040483/15625000000000000000000000 -29886227947492720833996689/31250000000000000000000000 928970729934462149263917/6250000000000000000000000 -9837279533262742581481037/62500000000000000000000000
-3620617840117970186361911/31250000000000000000000000 7013856121526227766452311/250000000000000000000000000 -3673887623587851233441299/250000000000000000000000000 11579112300458647597867549/50000000000000000000000000 -4499002189658096600140729/125000000000000000000000000 595523905728713189117643/15625000000000000000000000
948247485124267356040483/15625000000000000000000000 -3673887623587851233441299/250000000000000000000000000 108140979148969319021433423/250000000000000000000000000 -30325940565551522387181599/250000000000000000000000000 -12412728756739797742762993/125000000000000000000000000 -249550359278386253444323/12500000000000000000000000
-29886227947492720833996689/31250000000000000000000000 11579112300458647597867549/50000000000000000000000000 -30325940565551522387181599/250000000000000000000000000 955792643472829103719371787/500000000000000000000000000 -74273624540858308086660909/250000000000000000000000000 9831450863209346307820679/31250000000000000000000000
928970729934462149263917/6250000000000000000000000 -4499002189658096600140729/125000000000000000000000000 -12412728756739797742762993/125000000000000000000000000 -74273624540858308086660909/250000000000000000000000000 18754216127062981758215063/125000000000000000000000000 -3055966144494962716147723/62500000000000000000000000
-9837279533262742581481037/62500000000000000000000000 595523905728713189117643/15625000000000000000000000 -249550359278386253444323/12500000000000000000000000 9831450863209346307820679/31250000000000000000000000 -3055966144494962716147723/62500000000000000000000000 6472193849879367227205909/125000000000000000000000000


--- 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 26446327/40000000


--- 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 :
177829080316938891988419047/125000000000000000000000000 76458301856897916057056711/250000000000000000000000000 -207054557354919665061132751/125000000000000000000000000 306380480834723430625443561/500000000000000000000000000 -93919296066890712800373133/100000000000000000000000000 154262990885754240467620157/500000000000000000000000000
76458301856897916057056711/250000000000000000000000000 7483638195026107185577453/50000000000000000000000000 -20191374825613600159928039/62500000000000000000000000 52353904419537807101720321/500000000000000000000000000 -21842164475576385668515973/100000000000000000000000000 8755233364217900307095511/500000000000000000000000000
-207054557354919665061132751/125000000000000000000000000 -20191374825613600159928039/62500000000000000000000000 1144074145599572963283930893/500000000000000000000000000 -271728206575815524440916041/500000000000000000000000000 456901897727399924564377807/500000000000000000000000000 -13693725988796251659070581/31250000000000000000000000
306380480834723430625443561/500000000000000000000000000 52353904419537807101720321/500000000000000000000000000 -271728206575815524440916041/500000000000000000000000000 717182529115775719646664119/1000000000000000000000000000 -489536892772361828548280551/1000000000000000000000000000 -33463431301207474449336873/1000000000000000000000000000
-93919296066890712800373133/100000000000000000000000000 -21842164475576385668515973/100000000000000000000000000 456901897727399924564377807/500000000000000000000000000 -489536892772361828548280551/1000000000000000000000000000 709906805075197843182995991/1000000000000000000000000000 -164198402665425355317443903/1000000000000000000000000000
154262990885754240467620157/500000000000000000000000000 8755233364217900307095511/500000000000000000000000000 -13693725988796251659070581/31250000000000000000000000 -33463431301207474449336873/1000000000000000000000000000 -164198402665425355317443903/1000000000000000000000000000 276143569126228488264279649/1000000000000000000000000000


--- 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 :
164000144873213404978912011/250000000000000000000000000 5705842556489854776731881/31250000000000000000000000
5705842556489854776731881/31250000000000000000000000 337719691930905012166137297/500000000000000000000000000

