#Density : 875899284120249087269503369/3000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 45, 26, 37, 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 :
72991605769515986358121301/250000000000000000000000000 68549888567994547598043057/500000000000000000000000000 -191688705335519830999222043/250000000000000000000000000 -19409844628961999268734969/100000000000000000000000000 138966880710713174729179659/500000000000000000000000000 -173728881399439443600587609/500000000000000000000000000
68549888567994547598043057/500000000000000000000000000 588351922513397339040697/800000000000000000000000 -664182033832587868957855609/1000000000000000000000000000 -54396552220257747087375953/62500000000000000000000000 -62364159512591359189615119/500000000000000000000000000 -447587096977732729042745759/500000000000000000000000000
-191688705335519830999222043/250000000000000000000000000 -664182033832587868957855609/1000000000000000000000000000 96050250900640017017718469/40000000000000000000000000 851657389167593809188937671/1000000000000000000000000000 -822868849456882241659831287/1000000000000000000000000000 1257664792452107524256161869/1000000000000000000000000000
-19409844628961999268734969/100000000000000000000000000 -54396552220257747087375953/62500000000000000000000000 851657389167593809188937671/1000000000000000000000000000 517154002750666057600776497/500000000000000000000000000 30243781112007343984287687/250000000000000000000000000 54018289126789974438355633/50000000000000000000000000
138966880710713174729179659/500000000000000000000000000 -62364159512591359189615119/500000000000000000000000000 -822868849456882241659831287/1000000000000000000000000000 30243781112007343984287687/250000000000000000000000000 267966828813192131675393181/500000000000000000000000000 -31772175963935097405153483/500000000000000000000000000
-173728881399439443600587609/500000000000000000000000000 -447587096977732729042745759/500000000000000000000000000 1257664792452107524256161869/1000000000000000000000000000 54018289126789974438355633/50000000000000000000000000 -31772175963935097405153483/500000000000000000000000000 606363278355853784766494213/500000000000000000000000000


--- 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 :
564792313339803362884759/5000000000000000000000000 8764756078201636615989341/50000000000000000000000000
8764756078201636615989341/50000000000000000000000000 136016279428636176282726559/500000000000000000000000000


--- 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 :
42272857584030764058197547/250000000000000000000000000 779369821205904636410811/40000000000000000000000000 485501454384244202872823091/1000000000000000000000000000 -74779944574188750639481389/125000000000000000000000000 -233369760538405173332808879/1000000000000000000000000000 221599354004573451311713431/1000000000000000000000000000
779369821205904636410811/40000000000000000000000000 47999192844919272827678627/1000000000000000000000000000 -16409074243088419569503071/200000000000000000000000000 23410712494642988198732823/500000000000000000000000000 -45817645910861473592102419/500000000000000000000000000 6793305930057361459765537/200000000000000000000000000
485501454384244202872823091/1000000000000000000000000000 -16409074243088419569503071/200000000000000000000000000 1810150051045878714339888887/1000000000000000000000000000 -1033397365299107499725448537/500000000000000000000000000 -59349734164427245569266051/125000000000000000000000000 610834575886441127751605167/1000000000000000000000000000
-74779944574188750639481389/125000000000000000000000000 23410712494642988198732823/500000000000000000000000000 -1033397365299107499725448537/500000000000000000000000000 150588057676011043280317131/62500000000000000000000000 330926678446411464173578461/500000000000000000000000000 -381339249307966654010825157/500000000000000000000000000
-233369760538405173332808879/1000000000000000000000000000 -45817645910861473592102419/500000000000000000000000000 -59349734164427245569266051/125000000000000000000000000 330926678446411464173578461/500000000000000000000000000 413699348275621091537993429/1000000000000000000000000000 -79442378419158146205838847/250000000000000000000000000
221599354004573451311713431/1000000000000000000000000000 6793305930057361459765537/200000000000000000000000000 610834575886441127751605167/1000000000000000000000000000 -381339249307966654010825157/500000000000000000000000000 -79442378419158146205838847/250000000000000000000000000 291966425505136039933043447/1000000000000000000000000000


--- 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 :
340040697706215699147693/1250000000000000000000000 2907059313634690776903171/12500000000000000000000000
2907059313634690776903171/12500000000000000000000000 24852889404113586941564237/125000000000000000000000000

