#Density : 307298261347311117674875669/1000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 45, 26, 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 :
8814837799210128267579681/500000000000000000000000000 -13199312157828076064475873/500000000000000000000000000
-13199312157828076064475873/500000000000000000000000000 19764611148647518985295009/500000000000000000000000000


--- 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 :
289668582880465925290162563/1000000000000000000000000000 -53347013680865133468898137/200000000000000000000000000 -76216722298276693633538681/200000000000000000000000000 57585938010379483425996011/250000000000000000000000000 8099611787991383704358051/100000000000000000000000000 -60879444802329164711665561/1000000000000000000000000000
-53347013680865133468898137/200000000000000000000000000 264926867872345955923095531/500000000000000000000000000 24141433341785572710810867/31250000000000000000000000 -407185799808261053431991553/500000000000000000000000000 -146101422992381830616325183/500000000000000000000000000 2456168858808438454706343/15625000000000000000000000
-76216722298276693633538681/200000000000000000000000000 24141433341785572710810867/31250000000000000000000000 181742006884712437265469991/100000000000000000000000000 -215084046665165377353812507/100000000000000000000000000 -210660375259747099384389387/500000000000000000000000000 249500677760244251149978123/500000000000000000000000000
57585938010379483425996011/250000000000000000000000000 -407185799808261053431991553/500000000000000000000000000 -215084046665165377353812507/100000000000000000000000000 694562793997268337692319949/250000000000000000000000000 32150899821429392943108207/62500000000000000000000000 -317143634442318834098483177/500000000000000000000000000
8099611787991383704358051/100000000000000000000000000 -146101422992381830616325183/500000000000000000000000000 -210660375259747099384389387/500000000000000000000000000 32150899821429392943108207/62500000000000000000000000 47339173505265833461451471/250000000000000000000000000 -45663312470999718302101483/500000000000000000000000000
-60879444802329164711665561/1000000000000000000000000000 2456168858808438454706343/15625000000000000000000000 249500677760244251149978123/500000000000000000000000000 -317143634442318834098483177/500000000000000000000000000 -45663312470999718302101483/500000000000000000000000000 149788530203019237409581741/500000000000000000000000000


--- 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 :
317033041332721929386528763/1000000000000000000000000000 317033041332721929386528763/1000000000000000000000000000
317033041332721929386528763/1000000000000000000000000000 317033041332721929386528763/1000000000000000000000000000


--- 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 :
57378602715665665545890819/500000000000000000000000000 -1146948192683523688734241/10000000000000000000000000 -15312462290925976434080113/500000000000000000000000000 68656959368630415268887781/250000000000000000000000000 7656736318565531158059561/500000000000000000000000000 -2736660205905099161461899/15625000000000000000000000
-1146948192683523688734241/10000000000000000000000000 211529499234420613258687757/500000000000000000000000000 4693530903802073325265819/125000000000000000000000000 -3387202910104778972639461/4000000000000000000000000 340461931034360257673937/62500000000000000000000000 93448748216686258289319309/500000000000000000000000000
-15312462290925976434080113/500000000000000000000000000 4693530903802073325265819/125000000000000000000000000 272453665651765030990103293/1000000000000000000000000000 -43083541757811485990947159/500000000000000000000000000 -5033072420015896251895653/62500000000000000000000000 47007335465230523961035901/1000000000000000000000000000
68656959368630415268887781/250000000000000000000000000 -3387202910104778972639461/4000000000000000000000000 -43083541757811485990947159/500000000000000000000000000 859614788325040973234630091/500000000000000000000000000 -465455278521642254518851/250000000000000000000000000 -110282157768278992918232637/250000000000000000000000000
7656736318565531158059561/500000000000000000000000000 340461931034360257673937/62500000000000000000000000 -5033072420015896251895653/62500000000000000000000000 -465455278521642254518851/250000000000000000000000000 36367097661632296248289557/500000000000000000000000000 -2257483862716684910013729/100000000000000000000000000
-2736660205905099161461899/15625000000000000000000000 93448748216686258289319309/500000000000000000000000000 47007335465230523961035901/1000000000000000000000000000 -110282157768278992918232637/250000000000000000000000000 -2257483862716684910013729/100000000000000000000000000 267769035481589537297750013/1000000000000000000000000000


--- 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 :
12681321643669327578672683/40000000000000000000000000 91404330479644519353542499/1000000000000000000000000000
91404330479644519353542499/1000000000000000000000000000 80628118640113633742745439/200000000000000000000000000

