#Density : 129478006149248149199822363/300000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 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 :
431593351785166497939320137/1000000000000000000000000000 89568865931902772904001223/1000000000000000000000000000 -36353617161112772406356923/250000000000000000000000000 -73687277205733280132960303/1000000000000000000000000000 -2724766282036620000851767/100000000000000000000000000 -46793258933203586738877079/125000000000000000000000000
89568865931902772904001223/1000000000000000000000000000 799402287506579488436828189/1000000000000000000000000000 8299418951896592766575539/125000000000000000000000000 -426918258846207286478192059/1000000000000000000000000000 -6224080469517591820427149/7812500000000000000000000 30194988464672672912138053/125000000000000000000000000
-36353617161112772406356923/250000000000000000000000000 8299418951896592766575539/125000000000000000000000000 165089555159933476349266153/500000000000000000000000000 -13042002956713957575835259/500000000000000000000000000 -1731565425510477928189/19531250000000000000000 82805989714163152043846317/500000000000000000000000000
-73687277205733280132960303/1000000000000000000000000000 -426918258846207286478192059/1000000000000000000000000000 -13042002956713957575835259/500000000000000000000000000 114789938268553872626977799/500000000000000000000000000 421662310552253297955146657/1000000000000000000000000000 -26096627917859553035795603/250000000000000000000000000
-2724766282036620000851767/100000000000000000000000000 -6224080469517591820427149/7812500000000000000000000 -1731565425510477928189/19531250000000000000000 421662310552253297955146657/1000000000000000000000000000 803094968260951413430941487/1000000000000000000000000000 -149895351087420843236184761/500000000000000000000000000
-46793258933203586738877079/125000000000000000000000000 30194988464672672912138053/125000000000000000000000000 82805989714163152043846317/500000000000000000000000000 -26096627917859553035795603/250000000000000000000000000 -149895351087420843236184761/500000000000000000000000000 45522186837301153007949043/100000000000000000000000000


--- 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 :
3451517683081426315822789/15625000000000000000000000 -1750215137482844210680963/3906250000000000000000000
-1750215137482844210680963/3906250000000000000000000 887509005817782065039221/976562500000000000000000


--- 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 :
125106548324216112098997647/62500000000000000000000000 18428863927686668368596067/250000000000000000000000000 -424607669810497442542265997/250000000000000000000000000 50587542881501995435017463/125000000000000000000000000 -3834181858739755266530537/3906250000000000000000000 -78142680330087384701940773/250000000000000000000000000
18428863927686668368596067/250000000000000000000000000 445238186130495615945849/20000000000000000000000000 -9841943365573713455144613/250000000000000000000000000 19635846349074365610949727/500000000000000000000000000 -287653525962132408094551/3906250000000000000000000 -367497117169680175186907/20000000000000000000000000
-424607669810497442542265997/250000000000000000000000000 -9841943365573713455144613/250000000000000000000000000 734295510786726074743692851/500000000000000000000000000 -157244640136983116980379853/500000000000000000000000000 197094808898509710820709277/250000000000000000000000000 64268599555138951253492627/250000000000000000000000000
50587542881501995435017463/125000000000000000000000000 19635846349074365610949727/500000000000000000000000000 -157244640136983116980379853/500000000000000000000000000 98754492034927959318103859/250000000000000000000000000 -30648336350299323322155169/125000000000000000000000000 -35875863624849585229036753/500000000000000000000000000
-3834181858739755266530537/3906250000000000000000000 -287653525962132408094551/3906250000000000000000000 197094808898509710820709277/250000000000000000000000000 -30648336350299323322155169/125000000000000000000000000 5532223968924823549616049/10000000000000000000000000 20804600550572827547601973/125000000000000000000000000
-78142680330087384701940773/250000000000000000000000000 -367497117169680175186907/20000000000000000000000000 64268599555138951253492627/250000000000000000000000000 -35875863624849585229036753/500000000000000000000000000 20804600550572827547601973/125000000000000000000000000 5121892785297540250126173/100000000000000000000000000


--- 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 :
2366597621374637234024069/2500000000000000000000000 11270823650266296822132463/12500000000000000000000000
11270823650266296822132463/12500000000000000000000000 53676833192123263451646701/62500000000000000000000000

