#Density : 359281781509264663596813679/1200000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {45, 26, 46, 37, 57}
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 :
59880296160054337941331973/200000000000000000000000000 -21935376841350185879339/2500000000000000000000000 -101886595413614720209219241/200000000000000000000000000 -97562341015802403191766783/200000000000000000000000000 -10301432663411941789353443/200000000000000000000000000 50777548111194955896681011/200000000000000000000000000
-21935376841350185879339/2500000000000000000000000 155272018212532154286140917/250000000000000000000000000 -51658639789439665951436173/250000000000000000000000000 43197339180700180627682067/250000000000000000000000000 -17801579582718203766913589/50000000000000000000000000 57014347005586125393484099/250000000000000000000000000
-101886595413614720209219241/200000000000000000000000000 -51658639789439665951436173/250000000000000000000000000 1644329115294150906209267503/1000000000000000000000000000 640907224087222289432995533/1000000000000000000000000000 6969485506077733014935953/40000000000000000000000000 -1335403818331337164020280819/1000000000000000000000000000
-97562341015802403191766783/200000000000000000000000000 43197339180700180627682067/250000000000000000000000000 640907224087222289432995533/1000000000000000000000000000 860400990107877521101253103/1000000000000000000000000000 84665501119917556268967/200000000000000000000000000 -198047565743625609271939269/1000000000000000000000000000
-10301432663411941789353443/200000000000000000000000000 -17801579582718203766913589/50000000000000000000000000 6969485506077733014935953/40000000000000000000000000 84665501119917556268967/200000000000000000000000000 43435703095789927474762523/200000000000000000000000000 -26240231569649156086671293/200000000000000000000000000
50777548111194955896681011/200000000000000000000000000 57014347005586125393484099/250000000000000000000000000 -1335403818331337164020280819/1000000000000000000000000000 -198047565743625609271939269/1000000000000000000000000000 -26240231569649156086671293/200000000000000000000000000 1265836271668910401989371077/1000000000000000000000000000


--- 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 :
74016536027651439555846877/100000000000000000000000000 -27364611779406516975876061/50000000000000000000000000
-27364611779406516975876061/50000000000000000000000000 10116955183607694482558173/25000000000000000000000000


--- 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 :
485552251599482936975544067/500000000000000000000000000 -66336297875572464159762937/500000000000000000000000000 -1140837681349529672901404747/1000000000000000000000000000 376374509356996925637975287/1000000000000000000000000000 2396961049343541764871347/500000000000000000000000000 12381359532925550652391347/500000000000000000000000000
-66336297875572464159762937/500000000000000000000000000 38162444673311999530818799/100000000000000000000000000 129957343701787141739364373/1000000000000000000000000000 -843226742673928240492888433/1000000000000000000000000000 -112900177436169698757789757/500000000000000000000000000 98997148502581666413358763/500000000000000000000000000
-1140837681349529672901404747/1000000000000000000000000000 129957343701787141739364373/1000000000000000000000000000 692003805168701666270734433/500000000000000000000000000 -107460649829557988130117119/250000000000000000000000000 80322855804973251139661269/1000000000000000000000000000 -966645700966834104119099/10000000000000000000000000
376374509356996925637975287/1000000000000000000000000000 -843226742673928240492888433/1000000000000000000000000000 -107460649829557988130117119/250000000000000000000000000 1917070403424642575061524861/1000000000000000000000000000 104683452032757594810040129/250000000000000000000000000 -37306233317810742711231027/100000000000000000000000000
2396961049343541764871347/500000000000000000000000000 -112900177436169698757789757/500000000000000000000000000 80322855804973251139661269/1000000000000000000000000000 104683452032757594810040129/250000000000000000000000000 256052609167312376214039373/1000000000000000000000000000 -53339686916486965557142637/250000000000000000000000000
12381359532925550652391347/500000000000000000000000000 98997148502581666413358763/500000000000000000000000000 -966645700966834104119099/10000000000000000000000000 -37306233317810742711231027/100000000000000000000000000 -53339686916486965557142637/250000000000000000000000000 8988030456670208873307301/50000000000000000000000000


--- 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 :
80935641592012020527077/200000000000000000000000 1107474783584696733103989/2500000000000000000000000
1107474783584696733103989/2500000000000000000000000 15154020801597264062061573/31250000000000000000000000

