#Density : 5447345532735488991570822037/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 26, 46, 37}
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 :
113486364830232695756405061/250000000000000000000000000 -48914967319597739049125949/500000000000000000000000000 -232849663505383275673453647/250000000000000000000000000 584592911855055635526172017/500000000000000000000000000 -320678161641260704585197261/500000000000000000000000000 32752859632167296972306781/500000000000000000000000000
-48914967319597739049125949/500000000000000000000000000 21083361260681670779088647/1000000000000000000000000000 100363014515298922945645187/500000000000000000000000000 -251971619863188592784005599/1000000000000000000000000000 138218911322571663901475169/1000000000000000000000000000 -2823431834834823741393131/200000000000000000000000000
-232849663505383275673453647/250000000000000000000000000 100363014515298922945645187/500000000000000000000000000 95551506783529155659038897/50000000000000000000000000 -1199459186279434035489816183/500000000000000000000000000 657962761811897192222248527/500000000000000000000000000 -67201838195032733177235331/500000000000000000000000000
584592911855055635526172017/500000000000000000000000000 -251971619863188592784005599/1000000000000000000000000000 -1199459186279434035489816183/500000000000000000000000000 602273009805899015904874947/200000000000000000000000000 -1651882854496454278545134637/1000000000000000000000000000 168717092734200900148291023/1000000000000000000000000000
-320678161641260704585197261/500000000000000000000000000 138218911322571663901475169/1000000000000000000000000000 657962761811897192222248527/500000000000000000000000000 -1651882854496454278545134637/1000000000000000000000000000 906139548195515793623568861/1000000000000000000000000000 -92549680478461810513392801/1000000000000000000000000000
32752859632167296972306781/500000000000000000000000000 -2823431834834823741393131/200000000000000000000000000 -67201838195032733177235331/500000000000000000000000000 168717092734200900148291023/1000000000000000000000000000 -92549680478461810513392801/1000000000000000000000000000 220247620104742717827310247/1000000000000000000000000000


--- 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 :
388457051552223549943560561/1000000000000000000000000000 -442496335856851941554673/8000000000000000000000000
-442496335856851941554673/8000000000000000000000000 395838484770575140037149761/1000000000000000000000000000


--- 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 :
6476715678243846417410207/62500000000000000000000000 -33679563216590320196687/2500000000000000000000000 -508450901545684509383271/50000000000000000000000000 512496848634353868880269/3906250000000000000000000 369559477241198299323591/15625000000000000000000000 -10844492929824365024118187/50000000000000000000000000
-33679563216590320196687/2500000000000000000000000 437842663941005096780687/250000000000000000000000000 660998703057581646423147/500000000000000000000000000 -2132027511396239200931307/125000000000000000000000000 -1537396693384868767556559/500000000000000000000000000 7049054708561026781662013/250000000000000000000000000
-508450901545684509383271/50000000000000000000000000 660998703057581646423147/500000000000000000000000000 243499432961756363508438237/500000000000000000000000000 -3218661946509484276529721/250000000000000000000000000 -156129229193683553487967257/1000000000000000000000000000 4256703878298256025946579/200000000000000000000000000
512496848634353868880269/3906250000000000000000000 -2132027511396239200931307/125000000000000000000000000 -3218661946509484276529721/250000000000000000000000000 20763354892993739784727821/125000000000000000000000000 7486187059138070818937997/250000000000000000000000000 -17162304870790624167036801/62500000000000000000000000
369559477241198299323591/15625000000000000000000000 -1537396693384868767556559/500000000000000000000000000 -156129229193683553487967257/1000000000000000000000000000 7486187059138070818937997/250000000000000000000000000 127784493752263815840273843/1000000000000000000000000000 -12375671009813368964016327/250000000000000000000000000
-10844492929824365024118187/50000000000000000000000000 7049054708561026781662013/250000000000000000000000000 4256703878298256025946579/200000000000000000000000000 -17162304870790624167036801/62500000000000000000000000 -12375671009813368964016327/250000000000000000000000000 453945459193364491819034111/1000000000000000000000000000


--- 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 :
395838484428573765275184883/1000000000000000000000000000 275466533978490061564804149/1000000000000000000000000000
275466533978490061564804149/1000000000000000000000000000 578977804145392674619130347/1000000000000000000000000000

