#Density : 2249922539148013578352905163/6000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 46, 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 :
9374677190210708338014977/25000000000000000000000000 -13776810896400231295089073/500000000000000000000000000 11589468302395356273914063/50000000000000000000000000 -140447778415879658176483123/500000000000000000000000000 -149277024763377090142614017/500000000000000000000000000 -3679264312906777785029041/125000000000000000000000000
-13776810896400231295089073/500000000000000000000000000 504607053324048937262110257/500000000000000000000000000 14040683958734921493517329/500000000000000000000000000 -254029906889659876083432273/500000000000000000000000000 -200001071998591938239105663/500000000000000000000000000 -124232467765230406075338373/125000000000000000000000000
11589468302395356273914063/50000000000000000000000000 14040683958734921493517329/500000000000000000000000000 42157186465322256684991317/125000000000000000000000000 -98654943696136331121163077/500000000000000000000000000 -101721587963796623787833459/500000000000000000000000000 -1962712650714236673850447/31250000000000000000000000
-140447778415879658176483123/500000000000000000000000000 -254029906889659876083432273/500000000000000000000000000 -98654943696136331121163077/500000000000000000000000000 243970749050690267101827489/500000000000000000000000000 222563992249836086386025167/500000000000000000000000000 68110798949117815941753209/125000000000000000000000000
-149277024763377090142614017/500000000000000000000000000 -200001071998591938239105663/500000000000000000000000000 -101721587963796623787833459/500000000000000000000000000 222563992249836086386025167/500000000000000000000000000 207231197579280172112581299/500000000000000000000000000 110174001248164255433662107/250000000000000000000000000
-3679264312906777785029041/125000000000000000000000000 -124232467765230406075338373/125000000000000000000000000 -1962712650714236673850447/31250000000000000000000000 68110798949117815941753209/125000000000000000000000000 110174001248164255433662107/250000000000000000000000000 246822439785085447197861201/250000000000000000000000000


--- 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 :
45667704870726360187022199/125000000000000000000000000 -10200459817313463999799197/25000000000000000000000000
-10200459817313463999799197/25000000000000000000000000 2278401789167288340835391/5000000000000000000000000


--- 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 :
37443910217436699589232313/20000000000000000000000000 -41172603311336752622573949/125000000000000000000000000 723582404104372134462793539/500000000000000000000000000 2573701152296317646831499/62500000000000000000000000 -14365399758706590450890541/10000000000000000000000000 7825268971959192436972641/250000000000000000000000000
-41172603311336752622573949/125000000000000000000000000 11479758568015445321411703/62500000000000000000000000 -52270867945955794943912607/125000000000000000000000000 -1556739481228082822488173/15625000000000000000000000 8043166870412737040348091/31250000000000000000000000 11194023234503850726829929/62500000000000000000000000
723582404104372134462793539/500000000000000000000000000 -52270867945955794943912607/125000000000000000000000000 665705321193449827694324967/500000000000000000000000000 593826412388720994215763/3906250000000000000000000 -139557242451329930047345869/125000000000000000000000000 -53993089105017229827542343/250000000000000000000000000
2573701152296317646831499/62500000000000000000000000 -1556739481228082822488173/15625000000000000000000000 593826412388720994215763/3906250000000000000000000 3366993264632902987173033/15625000000000000000000000 -2188210027880072243478681/62500000000000000000000000 -2108861049814495725467817/15625000000000000000000000
-14365399758706590450890541/10000000000000000000000000 8043166870412737040348091/31250000000000000000000000 -139557242451329930047345869/125000000000000000000000000 -2188210027880072243478681/62500000000000000000000000 275608050516224403582585781/250000000000000000000000000 -13433178850631700152579/781250000000000000000000
7825268971959192436972641/250000000000000000000000000 11194023234503850726829929/62500000000000000000000000 -53993089105017229827542343/250000000000000000000000000 -2108861049814495725467817/15625000000000000000000000 -13433178850631700152579/781250000000000000000000 33949606600521284441499287/125000000000000000000000000


--- 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 :
4746218759889465786559887/7812500000000000000000000 -12607937231003841241524909/31250000000000000000000000
-12607937231003841241524909/31250000000000000000000000 33491941535504531409184263/125000000000000000000000000

