#Density : 987160766670592822710910129/2400000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {26, 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 :
82263396679328066719168441/200000000000000000000000000 -204573866684610753308777909/1000000000000000000000000000 40119136956822745794985651/500000000000000000000000000 -491029876983292667188786389/500000000000000000000000000 -29969510224467383109108159/500000000000000000000000000 120167777973240260661861647/250000000000000000000000000
-204573866684610753308777909/1000000000000000000000000000 276900989244031354618845873/250000000000000000000000000 -123346066653164597119746093/100000000000000000000000000 108668244258757141585099913/500000000000000000000000000 -777768316441037397569113173/1000000000000000000000000000 -24801232586443629396282697/500000000000000000000000000
40119136956822745794985651/500000000000000000000000000 -123346066653164597119746093/100000000000000000000000000 743115820831425588070044307/500000000000000000000000000 65057978010148058088396153/500000000000000000000000000 47329226418051427341679591/50000000000000000000000000 -65526472574479956250462471/500000000000000000000000000
-491029876983292667188786389/500000000000000000000000000 108668244258757141585099913/500000000000000000000000000 65057978010148058088396153/500000000000000000000000000 1208916782239736864107565979/500000000000000000000000000 22548341461087953808489387/62500000000000000000000000 -599357659809059272395828877/500000000000000000000000000
-29969510224467383109108159/500000000000000000000000000 -777768316441037397569113173/1000000000000000000000000000 47329226418051427341679591/50000000000000000000000000 22548341461087953808489387/62500000000000000000000000 657122409659389707664013723/1000000000000000000000000000 -111081661746440326259914979/500000000000000000000000000
120167777973240260661861647/250000000000000000000000000 -24801232586443629396282697/500000000000000000000000000 -65526472574479956250462471/500000000000000000000000000 -599357659809059272395828877/500000000000000000000000000 -111081661746440326259914979/500000000000000000000000000 59740757214354717555379627/100000000000000000000000000


--- 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 :
765372804012870415910201787/1000000000000000000000000000 -447731557439998361515376391/500000000000000000000000000
-447731557439998361515376391/500000000000000000000000000 261916214525275425825672963/250000000000000000000000000


--- 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 :
868363805016776917331100743/1000000000000000000000000000 -2944342591816652864021931/7812500000000000000000000 -490041056008237855008924083/1000000000000000000000000000 -60743104457741341788856899/1000000000000000000000000000 -381681499857665404196252857/500000000000000000000000000 21439621362784651598514921/62500000000000000000000000
-2944342591816652864021931/7812500000000000000000000 20688944600151160821354261/125000000000000000000000000 14008266246455826793236597/62500000000000000000000000 45347539119784564296159/976562500000000000000000 82935196209876124219917561/250000000000000000000000000 -10318241904274375293998841/62500000000000000000000000
-490041056008237855008924083/1000000000000000000000000000 14008266246455826793236597/62500000000000000000000000 581640117336787909788151887/1000000000000000000000000000 214757384188736256933720991/1000000000000000000000000000 157258209742539410235750681/500000000000000000000000000 -18065155509447364887592879/62500000000000000000000000
-60743104457741341788856899/1000000000000000000000000000 45347539119784564296159/976562500000000000000000 214757384188736256933720991/1000000000000000000000000000 284906102588014928043769351/1000000000000000000000000000 107010937245371936121967/4000000000000000000000000 -23916137021525973622647341/125000000000000000000000000
-381681499857665404196252857/500000000000000000000000000 82935196209876124219917561/250000000000000000000000000 157258209742539410235750681/500000000000000000000000000 107010937245371936121967/4000000000000000000000000 182643731351303860383475821/250000000000000000000000000 -76297401604979380515193789/250000000000000000000000000
21439621362784651598514921/62500000000000000000000000 -10318241904274375293998841/62500000000000000000000000 -18065155509447364887592879/62500000000000000000000000 -23916137021525973622647341/125000000000000000000000000 -76297401604979380515193789/250000000000000000000000000 33833050858536409962325823/125000000000000000000000000


--- 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 :
65479053656093276525852837/62500000000000000000000000 29598397117279412393720421/62500000000000000000000000
29598397117279412393720421/62500000000000000000000000 38968425106626012687434461/125000000000000000000000000

