#Density : 42163537334382430072485479/93750000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {45, 46, 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 :
89948879435095435969173537/200000000000000000000000000 -7936134010738109087254679/62500000000000000000000000 40486137582781058997763317/500000000000000000000000000 -471293491859749530986049791/500000000000000000000000000 64769394385520665463140471/1000000000000000000000000000 4580899213543965439370269/31250000000000000000000000
-7936134010738109087254679/62500000000000000000000000 35850250049976721448483481/1000000000000000000000000000 -11430614046898510560211193/500000000000000000000000000 66531093363741829277641401/250000000000000000000000000 -18286603616402116732899949/1000000000000000000000000000 -8277399639740583849418041/200000000000000000000000000
40486137582781058997763317/500000000000000000000000000 -11430614046898510560211193/500000000000000000000000000 55588836471887171108919333/125000000000000000000000000 -8485198838536265974178989/50000000000000000000000000 -9197024721982050302973953/125000000000000000000000000 -61493356930053785818246219/500000000000000000000000000
-471293491859749530986049791/500000000000000000000000000 66531093363741829277641401/250000000000000000000000000 -8485198838536265974178989/50000000000000000000000000 493875091861771408126203153/250000000000000000000000000 -13574552242854945834482003/100000000000000000000000000 -76806221272343821636951509/250000000000000000000000000
64769394385520665463140471/1000000000000000000000000000 -18286603616402116732899949/1000000000000000000000000000 -9197024721982050302973953/125000000000000000000000000 -13574552242854945834482003/100000000000000000000000000 67105037066422226799311567/500000000000000000000000000 -66978592262809885139966687/1000000000000000000000000000
4580899213543965439370269/31250000000000000000000000 -8277399639740583849418041/200000000000000000000000000 -61493356930053785818246219/500000000000000000000000000 -76806221272343821636951509/250000000000000000000000000 -66978592262809885139966687/1000000000000000000000000000 471606043641689871138948729/1000000000000000000000000000


--- 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 :
0/1 0/1
0/1 89492461/200000000


--- 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 :
307719647443236602107635731/250000000000000000000000000 -2496045575781388067172153/62500000000000000000000000 -50744486152436033258096021/1000000000000000000000000000 -18438546036350658237324461/500000000000000000000000000 17716009004678732453693063/1000000000000000000000000000 -744030071630239897156848571/1000000000000000000000000000
-2496045575781388067172153/62500000000000000000000000 138671058184451453684968827/1000000000000000000000000000 -56176302244713713676031719/1000000000000000000000000000 -12234170022879342732826551/250000000000000000000000000 -58881108119491258806445011/1000000000000000000000000000 24140583644981767276116951/1000000000000000000000000000
-50744486152436033258096021/1000000000000000000000000000 -56176302244713713676031719/1000000000000000000000000000 32164419399998383051071131/50000000000000000000000000 -166458381556643242895956869/1000000000000000000000000000 -64416912184155279161626201/500000000000000000000000000 383419454028164218561631/12500000000000000000000000
-18438546036350658237324461/500000000000000000000000000 -12234170022879342732826551/250000000000000000000000000 -166458381556643242895956869/1000000000000000000000000000 21947642348694446329343407/50000000000000000000000000 -55894604034719516534043229/1000000000000000000000000000 22291122437445768456641861/1000000000000000000000000000
17716009004678732453693063/1000000000000000000000000000 -58881108119491258806445011/1000000000000000000000000000 -64416912184155279161626201/500000000000000000000000000 -55894604034719516534043229/1000000000000000000000000000 5696236925839116754680733/31250000000000000000000000 -5354404414246449015235961/500000000000000000000000000
-744030071630239897156848571/1000000000000000000000000000 24140583644981767276116951/1000000000000000000000000000 383419454028164218561631/12500000000000000000000000 22291122437445768456641861/1000000000000000000000000000 -5354404414246449015235961/500000000000000000000000000 44974439566148923967062943/100000000000000000000000000


--- 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 :
91220022929499992688419629/200000000000000000000000000 271974660963851968656111/25000000000000000000000000
271974660963851968656111/25000000000000000000000000 443649850524418989184406981/1000000000000000000000000000

