#Density : 392003054536907731141443051/1000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 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 :
392003051756005159666066607/1000000000000000000000000000 -153962640546804120265020081/1000000000000000000000000000 -421073905059330945386915363/1000000000000000000000000000 75911695634518317154798943/1000000000000000000000000000 -67829367001363873646382553/1000000000000000000000000000 23301577997190993280573189/125000000000000000000000000
-153962640546804120265020081/1000000000000000000000000000 753468439183033436221638813/1000000000000000000000000000 69608273247946240061002587/125000000000000000000000000 -90351655525586253957910713/125000000000000000000000000 1512989421602729450231097/7812500000000000000000000 -126939341900981688392324301/125000000000000000000000000
-421073905059330945386915363/1000000000000000000000000000 69608273247946240061002587/125000000000000000000000000 452978512584455745417354961/500000000000000000000000000 -473027000679561307643029349/1000000000000000000000000000 45603481452460153073577107/500000000000000000000000000 -183139225228110735422894477/250000000000000000000000000
75911695634518317154798943/1000000000000000000000000000 -90351655525586253957910713/125000000000000000000000000 -473027000679561307643029349/1000000000000000000000000000 707698617021447600375471143/1000000000000000000000000000 -5629914874536701716589411/31250000000000000000000000 978398488448102282474283083/1000000000000000000000000000
-67829367001363873646382553/1000000000000000000000000000 1512989421602729450231097/7812500000000000000000000 45603481452460153073577107/500000000000000000000000000 -5629914874536701716589411/31250000000000000000000000 5183618804498412986273747/40000000000000000000000000 -259362576883886291751495979/1000000000000000000000000000
23301577997190993280573189/125000000000000000000000000 -126939341900981688392324301/125000000000000000000000000 -183139225228110735422894477/250000000000000000000000000 978398488448102282474283083/1000000000000000000000000000 -259362576883886291751495979/1000000000000000000000000000 1369931631361613570749289561/1000000000000000000000000000


--- 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 44479791/100000000


--- 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 :
2260170262309377428991385703/1000000000000000000000000000 660274395497537121124773/3906250000000000000000000 -979328659208773674175016883/500000000000000000000000000 439556001374278428207798073/1000000000000000000000000000 -312401116217483539423689823/500000000000000000000000000 346629023223813528514260089/1000000000000000000000000000
660274395497537121124773/3906250000000000000000000 15902396826396252520559359/250000000000000000000000000 -36246433623723869711220067/250000000000000000000000000 -385546631471283077870333/10000000000000000000000000 -6277701291068754215213693/125000000000000000000000000 400291880114425061416407/10000000000000000000000000
-979328659208773674175016883/500000000000000000000000000 -36246433623723869711220067/250000000000000000000000000 106323446718764346340179937/62500000000000000000000000 -203711761311155660807709659/500000000000000000000000000 133138044487535579134731997/250000000000000000000000000 -26446629173455358046346539/100000000000000000000000000
439556001374278428207798073/1000000000000000000000000000 -385546631471283077870333/10000000000000000000000000 -203711761311155660807709659/500000000000000000000000000 543794521460251211351946179/1000000000000000000000000000 -29783303811672455635097333/500000000000000000000000000 -182610922872661641447385421/1000000000000000000000000000
-312401116217483539423689823/500000000000000000000000000 -6277701291068754215213693/125000000000000000000000000 133138044487535579134731997/250000000000000000000000000 -29783303811672455635097333/500000000000000000000000000 12094970112364309520090093/62500000000000000000000000 -3595442304249677616297781/20000000000000000000000000
346629023223813528514260089/1000000000000000000000000000 400291880114425061416407/10000000000000000000000000 -26446629173455358046346539/100000000000000000000000000 -182610922872661641447385421/1000000000000000000000000000 -3595442304249677616297781/20000000000000000000000000 392003052102172666233028571/1000000000000000000000000000


--- 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 :
82643555790253569517255021/125000000000000000000000000 -15630570892608571103930277/31250000000000000000000000
-15630570892608571103930277/31250000000000000000000000 1060543302212334719444286597/1000000000000000000000000000

