#Density : 245412185723517694068141851/500000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 26, 57, 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 :
490824369312597175543272477/1000000000000000000000000000 -153707449620925732746967851/250000000000000000000000000 5407320240487985377393359/100000000000000000000000000 4574907944874189590777739/200000000000000000000000000 3796526786480975280805437/500000000000000000000000000 61725095080187507150748921/1000000000000000000000000000
-153707449620925732746967851/250000000000000000000000000 260334418443545789666358189/200000000000000000000000000 -6679037624816541207601761/40000000000000000000000000 -3097405423992628336217637/500000000000000000000000000 -382884975353805421914898227/1000000000000000000000000000 -11396620396445029682799357/125000000000000000000000000
5407320240487985377393359/100000000000000000000000000 -6679037624816541207601761/40000000000000000000000000 56761555135314173808549873/125000000000000000000000000 -418352608781944835270559/250000000000000000000000000 2822064067513539527626821/40000000000000000000000000 -34089244577115940671936501/200000000000000000000000000
4574907944874189590777739/200000000000000000000000000 -3097405423992628336217637/500000000000000000000000000 -418352608781944835270559/250000000000000000000000000 2015057542957332890898777/1000000000000000000000000000 -1927885873459493719991919/125000000000000000000000000 2291287570774578566859543/1000000000000000000000000000
3796526786480975280805437/500000000000000000000000000 -382884975353805421914898227/1000000000000000000000000000 2822064067513539527626821/40000000000000000000000000 -1927885873459493719991919/125000000000000000000000000 262405171642212579013237041/1000000000000000000000000000 133581091455766895933259/12500000000000000000000000
61725095080187507150748921/1000000000000000000000000000 -11396620396445029682799357/125000000000000000000000000 -34089244577115940671936501/200000000000000000000000000 2291287570774578566859543/1000000000000000000000000000 133581091455766895933259/12500000000000000000000000 34655881997680581077754807/125000000000000000000000000


--- 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 :
3357067505982241188912957/3125000000000000000000000 -5565138846421219680878991/6250000000000000000000000
-5565138846421219680878991/6250000000000000000000000 9225542925412456215196533/12500000000000000000000000


--- 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 :
69931064485391136310480157/40000000000000000000000000 -445427022962821241501518273/1000000000000000000000000000 -2199289342878685422879447/3906250000000000000000000 140312707854457935235879663/250000000000000000000000000 -164095320397387253444175191/500000000000000000000000000 -231583781515492949735285511/250000000000000000000000000
-445427022962821241501518273/1000000000000000000000000000 113486179136866583862201967/1000000000000000000000000000 17930762677555663109009651/125000000000000000000000000 -7149792131565803551387207/50000000000000000000000000 16723323865863437081781579/200000000000000000000000000 118006125175992592485135323/500000000000000000000000000
-2199289342878685422879447/3906250000000000000000000 17930762677555663109009651/125000000000000000000000000 84162091183262734445912449/125000000000000000000000000 -527525139427313114670981/1562500000000000000000000 -1396620666294127143981457/100000000000000000000000000 37289823939896202770689753/125000000000000000000000000
140312707854457935235879663/250000000000000000000000000 -7149792131565803551387207/50000000000000000000000000 -527525139427313114670981/1562500000000000000000000 74841484316251102235590721/125000000000000000000000000 -22145648600890904317573141/125000000000000000000000000 -3717277603583055026847973/12500000000000000000000000
-164095320397387253444175191/500000000000000000000000000 16723323865863437081781579/200000000000000000000000000 -1396620666294127143981457/100000000000000000000000000 -22145648600890904317573141/125000000000000000000000000 200026835045856361916579983/1000000000000000000000000000 34778766302503688204598373/200000000000000000000000000
-231583781515492949735285511/250000000000000000000000000 118006125175992592485135323/500000000000000000000000000 37289823939896202770689753/125000000000000000000000000 -3717277603583055026847973/12500000000000000000000000 34778766302503688204598373/200000000000000000000000000 245412184725290101112506649/500000000000000000000000000


--- 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 :
671900411704487333410556697/500000000000000000000000000 -102651494051774455139831869/500000000000000000000000000
-102651494051774455139831869/500000000000000000000000000 432768194425420810617145389/1000000000000000000000000000

