#Density : 3934547181897907714565613491/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 45, 26, 46, 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 :
81969732342004229957494017/250000000000000000000000000 -54054856680422660177420403/250000000000000000000000000 -19608797760763169963687469/125000000000000000000000000 -21749438082108889769980707/125000000000000000000000000 26944202874553721475349941/250000000000000000000000000 130636845741009574770922413/250000000000000000000000000
-54054856680422660177420403/250000000000000000000000000 39999390006255549927278877/250000000000000000000000000 -1464480889408686267716301/31250000000000000000000000 32082394783301343620789463/125000000000000000000000000 -35424506911543360357723569/250000000000000000000000000 -83974556218811376398974767/250000000000000000000000000
-19608797760763169963687469/125000000000000000000000000 -1464480889408686267716301/31250000000000000000000000 343161308462757724988922737/250000000000000000000000000 -142736012792082880740653307/125000000000000000000000000 139529193562264224809655381/250000000000000000000000000 -40633726613048548085554071/125000000000000000000000000
-21749438082108889769980707/125000000000000000000000000 32082394783301343620789463/125000000000000000000000000 -142736012792082880740653307/125000000000000000000000000 39033033408272321958666351/31250000000000000000000000 -39551922063758847679996533/62500000000000000000000000 -25803678657152740563613563/125000000000000000000000000
26944202874553721475349941/250000000000000000000000000 -35424506911543360357723569/250000000000000000000000000 139529193562264224809655381/250000000000000000000000000 -39551922063758847679996533/62500000000000000000000000 40236219914864477090643399/125000000000000000000000000 34124415152685217444920189/250000000000000000000000000
130636845741009574770922413/250000000000000000000000000 -83974556218811376398974767/250000000000000000000000000 -40633726613048548085554071/125000000000000000000000000 -25803678657152740563613563/125000000000000000000000000 34124415152685217444920189/250000000000000000000000000 209284161962408065832344377/250000000000000000000000000


--- 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 :
37795775211033125837985879/40000000000000000000000000 -17127195066463557770635167/40000000000000000000000000
-17127195066463557770635167/40000000000000000000000000 17368602605906005201475991/40000000000000000000000000


--- 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 :
791547110754785891268840799/500000000000000000000000000 -333782451413579467232837583/500000000000000000000000000 -677352265729327157956582447/500000000000000000000000000 -1395537404509966659160889953/1000000000000000000000000000 377555317328042790618181307/500000000000000000000000000 52740354495057741695871881/1000000000000000000000000000
-333782451413579467232837583/500000000000000000000000000 83467025290011574439726499/250000000000000000000000000 115754721875578337608617519/250000000000000000000000000 264582064689103569614616507/500000000000000000000000000 -35382825991396904221516767/100000000000000000000000000 54221535667441868699080299/500000000000000000000000000
-677352265729327157956582447/500000000000000000000000000 115754721875578337608617519/250000000000000000000000000 345745558950124854729445787/250000000000000000000000000 131679706123779881394655507/100000000000000000000000000 -286491029760422215995099323/500000000000000000000000000 -157620767090510412518322409/500000000000000000000000000
-1395537404509966659160889953/1000000000000000000000000000 264582064689103569614616507/500000000000000000000000000 131679706123779881394655507/100000000000000000000000000 1297377557056962767176681439/1000000000000000000000000000 -625542881004645804900464213/1000000000000000000000000000 -194504221337719090140132541/1000000000000000000000000000
377555317328042790618181307/500000000000000000000000000 -35382825991396904221516767/100000000000000000000000000 -286491029760422215995099323/500000000000000000000000000 -625542881004645804900464213/1000000000000000000000000000 192060119687634068566444039/500000000000000000000000000 -63211326254503538058757667/1000000000000000000000000000
52740354495057741695871881/1000000000000000000000000000 54221535667441868699080299/500000000000000000000000000 -157620767090510412518322409/500000000000000000000000000 -194504221337719090140132541/1000000000000000000000000000 -63211326254503538058757667/1000000000000000000000000000 327878929934540125940958707/1000000000000000000000000000


--- 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 :
17368602605117286313292183/40000000000000000000000000 82535760680482374168008743/200000000000000000000000000
82535760680482374168008743/200000000000000000000000000 392210700306932340749784503/1000000000000000000000000000

