#Density : 2546526879590456911102225537/6000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 45, 26, 46, 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 :
212210572086778469057189733/500000000000000000000000000 -394527722571693364691228601/1000000000000000000000000000 253667258054539707312041271/1000000000000000000000000000 -70091580642631422406529613/125000000000000000000000000 20873173616373008143217427/40000000000000000000000000 188589347046125972922287493/500000000000000000000000000
-394527722571693364691228601/1000000000000000000000000000 197454109201984359944593113/200000000000000000000000000 -736900172028220573831096911/1000000000000000000000000000 -114187761494278326912591987/125000000000000000000000000 -386343547388748121718178843/500000000000000000000000000 777101769221312144088184779/1000000000000000000000000000
253667258054539707312041271/1000000000000000000000000000 -736900172028220573831096911/1000000000000000000000000000 556266221847248336068261701/1000000000000000000000000000 102932967350194745422600497/125000000000000000000000000 54414239791517642819185527/100000000000000000000000000 -685236099072118064798123109/1000000000000000000000000000
-70091580642631422406529613/125000000000000000000000000 -114187761494278326912591987/125000000000000000000000000 102932967350194745422600497/125000000000000000000000000 63408012765056913873819309/15625000000000000000000000 -305407641729902616793113/12500000000000000000000000 -388215812361891949453480473/125000000000000000000000000
20873173616373008143217427/40000000000000000000000000 -386343547388748121718178843/500000000000000000000000000 54414239791517642819185527/100000000000000000000000000 -305407641729902616793113/12500000000000000000000000 774899806122407202177404649/1000000000000000000000000000 -2357759013812775947497329/40000000000000000000000000
188589347046125972922287493/500000000000000000000000000 777101769221312144088184779/1000000000000000000000000000 -685236099072118064798123109/1000000000000000000000000000 -388215812361891949453480473/125000000000000000000000000 -2357759013812775947497329/40000000000000000000000000 1192316945370300390330942453/500000000000000000000000000


--- 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 :
165698013419568168157623/244140625000000000000000 4150237519670397925826001/15625000000000000000000000
4150237519670397925826001/15625000000000000000000000 103950983564693517826755687/1000000000000000000000000000


--- 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 :
66524930380402376517540053/1000000000000000000000000000 7013206213570094848738509/100000000000000000000000000 -129495715096132133771568749/500000000000000000000000000 141228210543915825173505707/1000000000000000000000000000 -83759947989105480166896843/1000000000000000000000000000 168026472080837739868250013/1000000000000000000000000000
7013206213570094848738509/100000000000000000000000000 2957699304248611076352933/40000000000000000000000000 -13649919305450468291938797/50000000000000000000000000 29974095491232403983580917/200000000000000000000000000 -4417393398485052103494627/50000000000000000000000000 8857562081026785016056507/50000000000000000000000000
-129495715096132133771568749/500000000000000000000000000 -13649919305450468291938797/50000000000000000000000000 252115425476363584024852037/250000000000000000000000000 -272601031963704661211520131/500000000000000000000000000 162936395855973609104439699/500000000000000000000000000 -327043161838863702663702549/500000000000000000000000000
141228210543915825173505707/1000000000000000000000000000 29974095491232403983580917/200000000000000000000000000 -272601031963704661211520131/500000000000000000000000000 212838459935865423650060179/500000000000000000000000000 -183731461515869889163201167/1000000000000000000000000000 358498605798382948407958497/1000000000000000000000000000
-83759947989105480166896843/1000000000000000000000000000 -4417393398485052103494627/50000000000000000000000000 162936395855973609104439699/500000000000000000000000000 -183731461515869889163201167/1000000000000000000000000000 105738078789749034682101753/1000000000000000000000000000 -211642182570147809532279183/1000000000000000000000000000
168026472080837739868250013/1000000000000000000000000000 8857562081026785016056507/50000000000000000000000000 -327043161838863702663702549/500000000000000000000000000 358498605798382948407958497/1000000000000000000000000000 -211642182570147809532279183/1000000000000000000000000000 424421145015000067369279593/1000000000000000000000000000


--- 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 :
103950982988290318588285383/1000000000000000000000000000 -387492229990400226850008279/1000000000000000000000000000
-387492229990400226850008279/1000000000000000000000000000 1444432981647196881485815527/1000000000000000000000000000

