#Density : 2405765135353481363139476347/6000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 26, 37, 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 :
25060053387559100811450069/62500000000000000000000000 -63111136309432321635256677/125000000000000000000000000 1531066831574482463067699/15625000000000000000000000 2094051055434847570839771/62500000000000000000000000 2667605980834055715290703/7812500000000000000000000 -78738686095705495927428621/125000000000000000000000000
-63111136309432321635256677/125000000000000000000000000 166683612732350263377424599/250000000000000000000000000 -53078640348652654567132107/500000000000000000000000000 -25611298006856340243630213/500000000000000000000000000 -9331266874058393836636557/20000000000000000000000000 393525131826632128890033249/500000000000000000000000000
1531066831574482463067699/15625000000000000000000000 -53078640348652654567132107/500000000000000000000000000 75235465077448436333586327/500000000000000000000000000 791003470457682859981491/250000000000000000000000000 15771758859087716564262189/250000000000000000000000000 -78674554434167698303737381/500000000000000000000000000
2094051055434847570839771/62500000000000000000000000 -25611298006856340243630213/500000000000000000000000000 791003470457682859981491/250000000000000000000000000 2716905727293490859955993/500000000000000000000000000 3920639562216126883735101/100000000000000000000000000 -3178027578641242978755603/62500000000000000000000000
2667605980834055715290703/7812500000000000000000000 -9331266874058393836636557/20000000000000000000000000 15771758859087716564262189/250000000000000000000000000 3920639562216126883735101/100000000000000000000000000 167016031079414904120402081/500000000000000000000000000 -6614745167055814098532767/12500000000000000000000000
-78738686095705495927428621/125000000000000000000000000 393525131826632128890033249/500000000000000000000000000 -78674554434167698303737381/500000000000000000000000000 -3178027578641242978755603/62500000000000000000000000 -6614745167055814098532767/12500000000000000000000000 495400475423196409680358797/500000000000000000000000000


--- 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 :
1291487269925679506335117161/1000000000000000000000000000 -105107373866007058231030149/100000000000000000000000000
-105107373866007058231030149/100000000000000000000000000 8554137774539838300142641/10000000000000000000000000


--- 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 :
2331041427317097767047913879/1000000000000000000000000000 86114778090491357401408051/1000000000000000000000000000 -170181838726173965818042599/1000000000000000000000000000 275829639456431640101536007/1000000000000000000000000000 -137070452792965312796477047/125000000000000000000000000 -197210993942003604846900499/250000000000000000000000000
86114778090491357401408051/1000000000000000000000000000 16556412304062973800139171/250000000000000000000000000 -16562665349357416771630349/125000000000000000000000000 -58605081766027931548267623/1000000000000000000000000000 1684531820918350495691303/100000000000000000000000000 -30264471458782807602537383/250000000000000000000000000
-170181838726173965818042599/1000000000000000000000000000 -16562665349357416771630349/125000000000000000000000000 132552371829620830973370497/500000000000000000000000000 117589603218258989459621903/1000000000000000000000000000 -17384125581233391265120077/500000000000000000000000000 120803015917567778729907189/500000000000000000000000000
275829639456431640101536007/1000000000000000000000000000 -58605081766027931548267623/1000000000000000000000000000 117589603218258989459621903/1000000000000000000000000000 320449522704266809257379171/1000000000000000000000000000 -48085531991369492083623887/250000000000000000000000000 54351525229571245304503/7812500000000000000000000
-137070452792965312796477047/125000000000000000000000000 1684531820918350495691303/100000000000000000000000000 -17384125581233391265120077/500000000000000000000000000 -48085531991369492083623887/250000000000000000000000000 142005675344706297208845731/250000000000000000000000000 71866214252170278929120119/250000000000000000000000000
-197210993942003604846900499/250000000000000000000000000 -30264471458782807602537383/250000000000000000000000000 120803015917567778729907189/500000000000000000000000000 54351525229571245304503/7812500000000000000000000 71866214252170278929120119/250000000000000000000000000 200480426683623658823392303/500000000000000000000000000


--- 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 :
113437445285183585316927273/250000000000000000000000000 -2760683845403414036577627/125000000000000000000000000
-2760683845403414036577627/125000000000000000000000000 67185709931241131287473/62500000000000000000000000

