#Density : 891458234448970630108452979/1500000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 26, 46, 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 :
74288185552671254048383983/125000000000000000000000000 -109492536275577842742207927/250000000000000000000000000 54154268351324124939328737/62500000000000000000000000 -215089254301575878241658683/125000000000000000000000000 109548728193815498647502517/250000000000000000000000000 40640023592091996975906399/50000000000000000000000000
-109492536275577842742207927/250000000000000000000000000 324968069562459320082710979/1000000000000000000000000000 -34105921582072001004072219/50000000000000000000000000 318928406624748165637892157/250000000000000000000000000 -12996008570370284094474987/40000000000000000000000000 -629254407381093697102899201/1000000000000000000000000000
54154268351324124939328737/62500000000000000000000000 -34105921582072001004072219/50000000000000000000000000 132702848976713599088426243/62500000000000000000000000 -166221180994647415747594127/62500000000000000000000000 169459602659631699164822303/250000000000000000000000000 445567838397881609999854293/250000000000000000000000000
-215089254301575878241658683/125000000000000000000000000 318928406624748165637892157/250000000000000000000000000 -166221180994647415747594127/62500000000000000000000000 626062032233451685344749983/125000000000000000000000000 -318889076521900128910021307/250000000000000000000000000 -122903764871431723782002841/50000000000000000000000000
109548728193815498647502517/250000000000000000000000000 -12996008570370284094474987/40000000000000000000000000 169459602659631699164822303/250000000000000000000000000 -318889076521900128910021307/250000000000000000000000000 324857131937061553491709163/1000000000000000000000000000 626361780759037291330494873/1000000000000000000000000000
40640023592091996975906399/50000000000000000000000000 -629254407381093697102899201/1000000000000000000000000000 445567838397881609999854293/250000000000000000000000000 -122903764871431723782002841/50000000000000000000000000 626361780759037291330494873/1000000000000000000000000000 1526409146126392108063666227/1000000000000000000000000000


--- 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 :
40419531970814755612028287/50000000000000000000000000 83162579832165253156063789/100000000000000000000000000
83162579832165253156063789/100000000000000000000000000 171105758704356653356780183/200000000000000000000000000


--- 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 :
77304315084378630387784721/250000000000000000000000000 -80688021352521998267067/1600000000000000000000000 -718300807593335544632608347/1000000000000000000000000000 120547570653580472362506789/1000000000000000000000000000 -41195349095372432014279/4000000000000000000000000 -106760101801502127547638823/250000000000000000000000000
-80688021352521998267067/1600000000000000000000000 1645009701075830018906059/200000000000000000000000000 11683276988388631615872371/100000000000000000000000000 -3939373727767615184743151/200000000000000000000000000 161493361924620916548007/100000000000000000000000000 6969119182910214549218499/100000000000000000000000000
-718300807593335544632608347/1000000000000000000000000000 11683276988388631615872371/100000000000000000000000000 1885761631800722819865584081/1000000000000000000000000000 -63641998294368986883610663/250000000000000000000000000 3430832681609009233085033/50000000000000000000000000 480287763123466130603872953/500000000000000000000000000
120547570653580472362506789/1000000000000000000000000000 -3939373727767615184743151/200000000000000000000000000 -63641998294368986883610663/250000000000000000000000000 49979867660066909931448739/1000000000000000000000000000 122445440595666477200077/100000000000000000000000000 -85082281527027957392607021/500000000000000000000000000
-41195349095372432014279/4000000000000000000000000 161493361924620916548007/100000000000000000000000000 3430832681609009233085033/50000000000000000000000000 122445440595666477200077/100000000000000000000000000 477023127359421291180611/50000000000000000000000000 387809312805416195062027/50000000000000000000000000
-106760101801502127547638823/250000000000000000000000000 6969119182910214549218499/100000000000000000000000000 480287763123466130603872953/500000000000000000000000000 -85082281527027957392607021/500000000000000000000000000 387809312805416195062027/50000000000000000000000000 37144092938880321989838311/62500000000000000000000000


--- 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 :
0/1 0/1
0/1 0/1

