#Density : 449514127673452643776104281/3200000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 9, 10, 13, 14, 15}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
337262205273794689341761769/1000000000000000000000000000 -7169597044948679867782149/250000000000000000000000000 137505598241818609095333639/500000000000000000000000000 -49603958771364061298712567/100000000000000000000000000 281658914673153259205082711/1000000000000000000000000000 27649255916921892534679581/500000000000000000000000000
-7169597044948679867782149/250000000000000000000000000 609651730708538672972641/250000000000000000000000000 -11692501743776559479376551/500000000000000000000000000 4217969172516244836844333/100000000000000000000000000 -1496892396143771299103139/62500000000000000000000000 -2351096812048848635892429/500000000000000000000000000
137505598241818609095333639/500000000000000000000000000 -11692501743776559479376551/500000000000000000000000000 224250322178742704209444561/1000000000000000000000000000 -80896369879117308449793563/200000000000000000000000000 3588609707507835731787363/15625000000000000000000000 45091651741458729892944219/1000000000000000000000000000
-49603958771364061298712567/100000000000000000000000000 4217969172516244836844333/100000000000000000000000000 -80896369879117308449793563/200000000000000000000000000 145913339076560370978049853/200000000000000000000000000 -20712960083523212121677799/50000000000000000000000000 -16266424510994456660522697/200000000000000000000000000
281658914673153259205082711/1000000000000000000000000000 -1496892396143771299103139/62500000000000000000000000 3588609707507835731787363/15625000000000000000000000 -20712960083523212121677799/50000000000000000000000000 235222752429243851718846909/1000000000000000000000000000 1443175979324990804225379/31250000000000000000000000
27649255916921892534679581/500000000000000000000000000 -2351096812048848635892429/500000000000000000000000000 45091651741458729892944219/1000000000000000000000000000 -16266424510994456660522697/200000000000000000000000000 1443175979324990804225379/31250000000000000000000000 20626980366033939731035401/1000000000000000000000000000


--- Term 2 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}
F5 : {1, 2}
F6 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

Flags :
F1 : {1}
F2 : {1, 2}
F3 : {1, 3}
F4 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {0, 1}
F2 : {0, 1, 2}
F3 : {0, 1, 3}
F4 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 7045599/1000000000


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {0, 1, 2}
F2 : {0, 1, 3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 7 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

Flags :
F1  : {3}
F2  : {3, 4}
F3  : {3, 5}
F4  : {3, 4, 5}
F5  : {3, 6}
F6  : {3, 4, 6}
F7  : {3, 5, 6}
F8  : {3, 4, 5, 6}
F9  : {3, 7}
F10 : {3, 4, 7}
F11 : {3, 5, 7}
F12 : {3, 4, 5, 7}
F13 : {3, 6, 7}
F14 : {3, 4, 6, 7}
F15 : {3, 5, 6, 7}
F16 : {3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
228485784773921536158378321/250000000000000000000000000 222361887359431097337745003/1000000000000000000000000000 1783702271398667224770081/25000000000000000000000000 4881596588605397849196619/50000000000000000000000000 74102468926144581662162243/250000000000000000000000000 -150717938424456331659132021/500000000000000000000000000 -340243659013711535331434529/1000000000000000000000000000 -262971894454362955593031361/250000000000000000000000000 -7022125985414982736653759/40000000000000000000000000 91092699225725322879476711/1000000000000000000000000000 -63908547005532574990784213/500000000000000000000000000 -395452426862841196527794203/1000000000000000000000000000
222361887359431097337745003/1000000000000000000000000000 87314201541062312677106689/500000000000000000000000000 247970511096497504812692547/1000000000000000000000000000 184242599149840292238988467/1000000000000000000000000000 156654359267284056678160253/1000000000000000000000000000 -114186199875115534466997427/1000000000000000000000000000 -28901298796830663147272957/250000000000000000000000000 -228986662391473038872858189/1000000000000000000000000000 -92182573502139321249712647/250000000000000000000000000 800632115084016739074099/12500000000000000000000000 -16723288086218540731229367/62500000000000000000000000 -20562992723223097358820259/200000000000000000000000000
1783702271398667224770081/25000000000000000000000000 247970511096497504812692547/1000000000000000000000000000 223404823109831509214330631/500000000000000000000000000 314692409725086545649140401/1000000000000000000000000000 184890053261777463477174963/1000000000000000000000000000 -101686434189183265660736407/1000000000000000000000000000 -8936539114403403505552381/100000000000000000000000000 -6115403379641664529039403/200000000000000000000000000 -9960791985680650933082609/15625000000000000000000000 17451411856403078076049513/200000000000000000000000000 -92487267440016387495642463/200000000000000000000000000 -1359456715704531950996289/31250000000000000000000000
4881596588605397849196619/50000000000000000000000000 184242599149840292238988467/1000000000000000000000000000 314692409725086545649140401/1000000000000000000000000000 22412827376344949986193469/100000000000000000000000000 144230472396551683814656183/1000000000000000000000000000 -86590678338821630819318831/1000000000000000000000000000 -80053407003021780528878989/1000000000000000000000000000 -76499850687964401515582413/1000000000000000000000000000 -113215723671094562820753651/250000000000000000000000000 8188324216004553186753931/125000000000000000000000000 -328531873784484450168620231/1000000000000000000000000000 -51034535041323386146407291/1000000000000000000000000000
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-63908547005532574990784213/500000000000000000000000000 -16723288086218540731229367/62500000000000000000000000 -92487267440016387495642463/200000000000000000000000000 -328531873784484450168620231/1000000000000000000000000000 -207316519802962829265765559/1000000000000000000000000000 122298038788862029296134139/1000000000000000000000000000 111984493933157087998603421/1000000000000000000000000000 11782336066513259676430429/125000000000000000000000000 332098488730208765163890051/500000000000000000000000000 -23730750859723233834116913/250000000000000000000000000 481837252118667651122312619/1000000000000000000000000000 68257229627319782298765793/1000000000000000000000000000
-395452426862841196527794203/1000000000000000000000000000 -20562992723223097358820259/200000000000000000000000000 -1359456715704531950996289/31250000000000000000000000 -51034535041323386146407291/1000000000000000000000000000 -13288340505540423861594257/100000000000000000000000000 4128466972947712349084209/125000000000000000000000000 73586329421148920343149537/1000000000000000000000000000 56707994388245532459485837/125000000000000000000000000 2345414197027301324816339/25000000000000000000000000 -16527877008863382110170661/100000000000000000000000000 68257229627319782298765793/1000000000000000000000000000 72098801259977301902066269/100000000000000000000000000


--- Term 9 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {3, 5}
F2 : {3, 4, 5}
F3 : {3, 6}
F4 : {3, 4, 6}
F5 : {3, 5, 7}
F6 : {3, 4, 5, 7}
F7 : {3, 6, 7}
F8 : {3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
206245158637153452622953931/1000000000000000000000000000 62485815037047666425001671/500000000000000000000000000 163442515019660749953287207/500000000000000000000000000 -96395217204339411467979303/1000000000000000000000000000
62485815037047666425001671/500000000000000000000000000 18931242345975588277451251/250000000000000000000000000 49517956349587949759846227/250000000000000000000000000 -29204727329151990461541843/500000000000000000000000000
163442515019660749953287207/500000000000000000000000000 49517956349587949759846227/250000000000000000000000000 129522825614292066585303619/250000000000000000000000000 -76390043546451058098973011/500000000000000000000000000
-96395217204339411467979303/1000000000000000000000000000 -29204727329151990461541843/500000000000000000000000000 -76390043546451058098973011/500000000000000000000000000 1432531576804458633429286899/1000000000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

Flags :
F1  : {2, 3}
F2  : {2, 3, 4}
F3  : {2, 3, 5}
F4  : {2, 3, 4, 5}
F5  : {2, 3, 6}
F6  : {2, 3, 4, 6}
F7  : {2, 3, 5, 6}
F8  : {2, 3, 4, 5, 6}
F9  : {2, 3, 7}
F10 : {2, 3, 4, 7}
F11 : {2, 3, 5, 7}
F12 : {2, 3, 4, 5, 7}
F13 : {2, 3, 6, 7}
F14 : {2, 3, 4, 6, 7}
F15 : {2, 3, 5, 6, 7}
F16 : {2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)+(F3)
B3  : (F4)
B4  : (F5)+(F9)
B5  : (F6)+(F11)
B6  : (F7)+(F10)
B7  : (F8)+(F12)
B8  : (F13)
B9  : (F14)+(F15)
B10 : (F16)

Matrix :
505351692428344210491373683/500000000000000000000000000 691591491000575910329917017/1000000000000000000000000000 4988820445152412539145829/7812500000000000000000000 10940891167495545178516029/125000000000000000000000000 -202900612463572283189876221/1000000000000000000000000000 1988834347944784064976303/500000000000000000000000000 -428292615621776139617223777/1000000000000000000000000000 -68221214002227459650196623/250000000000000000000000000 -84428343908579754527570801/250000000000000000000000000 -556466071133397832483279643/1000000000000000000000000000
691591491000575910329917017/1000000000000000000000000000 774946766580579965686675607/500000000000000000000000000 694538600513908713228428371/500000000000000000000000000 -242823683252300980403568551/500000000000000000000000000 -449558665526608045973749439/1000000000000000000000000000 47062590517234914892132857/500000000000000000000000000 -361400121280508028678111511/1000000000000000000000000000 -241756209072868926589165673/500000000000000000000000000 -60812839631739447744961433/125000000000000000000000000 -626606384502825630811009531/1000000000000000000000000000
4988820445152412539145829/7812500000000000000000000 694538600513908713228428371/500000000000000000000000000 158553076390915067304526767/125000000000000000000000000 -27024439478486964238681157/500000000000000000000000000 -23396857744344353067517167/62500000000000000000000000 19762845597782419246182287/250000000000000000000000000 -329246688627925072223470179/500000000000000000000000000 -239223647825176509079312789/500000000000000000000000000 -46971332995072980556275203/100000000000000000000000000 -29248346603821242670949929/50000000000000000000000000
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--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

Flags :
F1  : {2, 3, 4}
F2  : {2, 3, 5}
F3  : {2, 3, 6}
F4  : {2, 3, 4, 6}
F5  : {2, 3, 5, 6}
F6  : {2, 3, 4, 5, 6}
F7  : {2, 3, 7}
F8  : {2, 3, 4, 7}
F9  : {2, 3, 5, 7}
F10 : {2, 3, 4, 5, 7}
F11 : {2, 3, 4, 6, 7}
F12 : {2, 3, 5, 6, 7}

Basis :
B1 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
4444322780430702329678777/250000000000000000000000000 -16374180385108114108990647/50000000000000000000000000 98314642881784464466149/31250000000000000000000000 -500286991376454759165047/125000000000000000000000000 18436938245208267886465369/62500000000000000000000000 -383733964588129959940333/250000000000000000000000000
-16374180385108114108990647/50000000000000000000000000 603272526614451325216752177/100000000000000000000000000 -579551674429293934077789/10000000000000000000000000 184320270362253999040287/2500000000000000000000000 -543416430337460781376324701/100000000000000000000000000 2827574878842312240640767/100000000000000000000000000
98314642881784464466149/31250000000000000000000000 -579551674429293934077789/10000000000000000000000000 1008578161058687724245863233/1000000000000000000000000000 19875020862861125715121989/62500000000000000000000000 52204913687056475976795159/1000000000000000000000000000 164817156719496368453245743/1000000000000000000000000000
-500286991376454759165047/125000000000000000000000000 184320270362253999040287/2500000000000000000000000 19875020862861125715121989/62500000000000000000000000 193836685004149546136516771/125000000000000000000000000 -8301609928195622423996339/125000000000000000000000000 13153711660879912131501391/125000000000000000000000000
18436938245208267886465369/62500000000000000000000000 -543416430337460781376324701/100000000000000000000000000 52204913687056475976795159/1000000000000000000000000000 -8301609928195622423996339/125000000000000000000000000 4894991960232827453496744583/1000000000000000000000000000 -25470257070455004538215437/1000000000000000000000000000
-383733964588129959940333/250000000000000000000000000 2827574878842312240640767/100000000000000000000000000 164817156719496368453245743/1000000000000000000000000000 13153711660879912131501391/125000000000000000000000000 -25470257070455004538215437/1000000000000000000000000000 492957425258885979284334979/1000000000000000000000000000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

Flags :
F1  : {1, 2}
F2  : {1, 2, 4}
F3  : {1, 2, 5}
F4  : {1, 2, 4, 5}
F5  : {1, 2, 6}
F6  : {1, 2, 4, 6}
F7  : {1, 2, 5, 6}
F8  : {1, 2, 4, 5, 6}
F9  : {1, 2, 7}
F10 : {1, 2, 4, 7}
F11 : {1, 2, 5, 7}
F12 : {1, 2, 4, 5, 7}
F13 : {1, 2, 6, 7}
F14 : {1, 2, 4, 6, 7}
F15 : {1, 2, 5, 6, 7}
F16 : {1, 2, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F9)
B3 : (F3)+(F5)
B4 : (F4)+(F6)+(F11)+(F13)
B5 : (F7)
B6 : (F8)+(F15)
B7 : (F10)
B8 : (F12)+(F14)
B9 : (F16)

Matrix :
21477118828573558993120303/100000000000000000000000000 2534943992343959230822043/15625000000000000000000000 -5156832688605374131114563/125000000000000000000000000 3801516641242372958580189/100000000000000000000000000 -27107366433961546341633373/250000000000000000000000000 -64342938287431443304232553/250000000000000000000000000 40302435089028746649407363/500000000000000000000000000 -11643503872446433080561937/500000000000000000000000000 -2124501218967090305696357/20000000000000000000000000
2534943992343959230822043/15625000000000000000000000 126230645818621311844305793/1000000000000000000000000000 -6933855979726376050983231/250000000000000000000000000 16382378190588044482143411/500000000000000000000000000 -106795187384958999873970673/1000000000000000000000000000 -19453616535343692836498349/100000000000000000000000000 8843904035684691222943291/125000000000000000000000000 -26863541975793056474552731/1000000000000000000000000000 -8241845795063784166483361/100000000000000000000000000
-5156832688605374131114563/125000000000000000000000000 -6933855979726376050983231/250000000000000000000000000 694936695547714654756267/62500000000000000000000000 -220596553400255425447317/62500000000000000000000000 -591343525210760610178557/250000000000000000000000000 6165772245590533832235761/125000000000000000000000000 -786492987442886206923547/125000000000000000000000000 -1042002398623203953640889/250000000000000000000000000 71780375828819727683081/3906250000000000000000000
3801516641242372958580189/100000000000000000000000000 16382378190588044482143411/500000000000000000000000000 -220596553400255425447317/62500000000000000000000000 12112087480393147748791557/250000000000000000000000000 -4658302972810768308607221/100000000000000000000000000 -22843626987553044965575551/500000000000000000000000000 6280469924849360414599413/250000000000000000000000000 -1432685726635654706445831/100000000000000000000000000 -2155078810919053491780711/62500000000000000000000000
-27107366433961546341633373/250000000000000000000000000 -106795187384958999873970673/1000000000000000000000000000 -591343525210760610178557/250000000000000000000000000 -4658302972810768308607221/100000000000000000000000000 223131763098149561426595001/1000000000000000000000000000 13074618353701197122761233/100000000000000000000000000 -26856242604957465502124071/250000000000000000000000000 74494002240984086559068567/1000000000000000000000000000 34178662823743391274614003/500000000000000000000000000
-64342938287431443304232553/250000000000000000000000000 -19453616535343692836498349/100000000000000000000000000 6165772245590533832235761/125000000000000000000000000 -22843626987553044965575551/500000000000000000000000000 13074618353701197122761233/100000000000000000000000000 154213084592697393895635611/500000000000000000000000000 -48456927748546546935310297/500000000000000000000000000 1410380674472009463690661/50000000000000000000000000 12736594143495054025709729/100000000000000000000000000
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-11643503872446433080561937/500000000000000000000000000 -26863541975793056474552731/1000000000000000000000000000 -1042002398623203953640889/250000000000000000000000000 -1432685726635654706445831/100000000000000000000000000 74494002240984086559068567/1000000000000000000000000000 1410380674472009463690661/50000000000000000000000000 -2100107906324762168484633/62500000000000000000000000 25899073997682362730932969/1000000000000000000000000000 8502544603319742414199071/500000000000000000000000000
-2124501218967090305696357/20000000000000000000000000 -8241845795063784166483361/100000000000000000000000000 71780375828819727683081/3906250000000000000000000 -2155078810919053491780711/62500000000000000000000000 34178662823743391274614003/500000000000000000000000000 12736594143495054025709729/100000000000000000000000000 -5712949029856514220267139/125000000000000000000000000 8502544603319742414199071/500000000000000000000000000 56633439987549483511628093/250000000000000000000000000


--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 7

Flags :
F1  : {1, 2, 4}
F2  : {1, 2, 5}
F3  : {1, 2, 4, 5}
F4  : {1, 2, 6}
F5  : {1, 2, 4, 6}
F6  : {1, 2, 4, 5, 6}
F7  : {1, 2, 7}
F8  : {1, 2, 5, 7}
F9  : {1, 2, 4, 5, 7}
F10 : {1, 2, 6, 7}
F11 : {1, 2, 4, 6, 7}
F12 : {1, 2, 5, 6, 7}

Basis :
B1 : (F7)-(F1)
B2 : (F4)-(F2)
B3 : (F5)-(F3)
B4 : (F8)-(F3)
B5 : (F10)-(F3)
B6 : (F12)-(F6)
B7 : (F11)-(F9)

Matrix :
34932600500215743271471861/1000000000000000000000000000 11401101938695177/20000000000000000000000000 1874797290251640287918141/500000000000000000000000000 -3749592688285857767664473/1000000000000000000000000000 -46869935084192719099837/12500000000000000000000000 -13729652320041235776844927/500000000000000000000000000 -110686791010933161/1000000000000000000000000000
11401101938695177/20000000000000000000000000 1035557573315702462394970843/1000000000000000000000000000 -56990133462542843030712643/1000000000000000000000000000 28495072999734514621539223/500000000000000000000000000 -14247534723299407532207419/250000000000000000000000000 -57856977204638819/500000000000000000000000000 -8057618444810374545266781/100000000000000000000000000
1874797290251640287918141/500000000000000000000000000 -56990133462542843030712643/1000000000000000000000000000 698569286393077680416283799/1000000000000000000000000000 25659422746073901719584151/500000000000000000000000000 -71571178016846302447703041/125000000000000000000000000 -1473712882365406892108461/500000000000000000000000000 -461100401990564731744419/500000000000000000000000000
-3749592688285857767664473/1000000000000000000000000000 28495072999734514621539223/500000000000000000000000000 25659422746073901719584151/500000000000000000000000000 698569154194262766225220567/1000000000000000000000000000 -177318798827291361862494731/1000000000000000000000000000 368428126409789204401157/125000000000000000000000000 184441846574287115068053/200000000000000000000000000
-46869935084192719099837/12500000000000000000000000 -14247534723299407532207419/250000000000000000000000000 -71571178016846302447703041/125000000000000000000000000 -177318798827291361862494731/1000000000000000000000000000 698569313529747943274336917/1000000000000000000000000000 2947425748161003839392987/1000000000000000000000000000 -922204424556334236614541/1000000000000000000000000000
-13729652320041235776844927/500000000000000000000000000 -57856977204638819/500000000000000000000000000 -1473712882365406892108461/500000000000000000000000000 368428126409789204401157/125000000000000000000000000 2947425748161003839392987/1000000000000000000000000000 21584806184475100801633663/1000000000000000000000000000 -320561688389259/500000000000000000000000000
-110686791010933161/1000000000000000000000000000 -8057618444810374545266781/100000000000000000000000000 -461100401990564731744419/500000000000000000000000000 184441846574287115068053/200000000000000000000000000 -922204424556334236614541/1000000000000000000000000000 -320561688389259/500000000000000000000000000 149798531351026743261987531/1000000000000000000000000000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

Flags :
F1  : {1, 2, 3}
F2  : {1, 2, 3, 4}
F3  : {1, 2, 3, 5}
F4  : {1, 2, 3, 4, 5}
F5  : {1, 2, 3, 6}
F6  : {1, 2, 3, 4, 6}
F7  : {1, 2, 3, 5, 6}
F8  : {1, 2, 3, 4, 5, 6}
F9  : {1, 2, 3, 7}
F10 : {1, 2, 3, 4, 7}
F11 : {1, 2, 3, 5, 7}
F12 : {1, 2, 3, 4, 5, 7}
F13 : {1, 2, 3, 6, 7}
F14 : {1, 2, 3, 4, 6, 7}
F15 : {1, 2, 3, 5, 6, 7}
F16 : {1, 2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
11953741056222551984555048529/1000000000000000000000000000 105852501535270609198111731/500000000000000000000000000 -680569096532711815347354713/1000000000000000000000000000 6012386619042996654008681617/1000000000000000000000000000 -86718470701442892840917913/125000000000000000000000000 25449144622220824414418681/500000000000000000000000000 -1732973960019164605180857139/250000000000000000000000000 -1147589750415142988610906147/200000000000000000000000000 -265640589300676712093357357/125000000000000000000000000 -1320516542620820582000221711/1000000000000000000000000000 40184707980568660223416013/40000000000000000000000000 372966445895362147923219893/125000000000000000000000000
105852501535270609198111731/500000000000000000000000000 16430859163695561140017293/25000000000000000000000000 -64833976279750291148894357/500000000000000000000000000 26620375948341704086066271/250000000000000000000000000 -6143259766145817631499763/500000000000000000000000000 7042394175195569777671/7812500000000000000000000 -12276633954874733687926841/100000000000000000000000000 -50810555809124556947975937/500000000000000000000000000 -9078878489693034575736467/250000000000000000000000000 -5312495808196385553201809/250000000000000000000000000 -5082023823675358590743461/50000000000000000000000000 -22823842019339184518614121/500000000000000000000000000
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40184707980568660223416013/40000000000000000000000000 -5082023823675358590743461/50000000000000000000000000 -193804146957072549248099/1600000000000000000000000 505293697443642756885193891/1000000000000000000000000000 -7288003888990806999379699/125000000000000000000000000 2138800332306787365693543/500000000000000000000000000 -291285599251620438201544443/500000000000000000000000000 -96445871666264796676617551/200000000000000000000000000 -52958163091918593785462101/250000000000000000000000000 -125045834210079390084362453/1000000000000000000000000000 704902426141504384804387359/1000000000000000000000000000 75298026372833757284222047/500000000000000000000000000
372966445895362147923219893/125000000000000000000000000 -22823842019339184518614121/500000000000000000000000000 -168620991796257062639086337/1000000000000000000000000000 1500730831157078986380480313/1000000000000000000000000000 -173163957490311866954730633/1000000000000000000000000000 397017011640639475639857/31250000000000000000000000 -1730246317086956958099074933/1000000000000000000000000000 -22378583648036138761413259/15625000000000000000000000 -115196631028032682516843463/200000000000000000000000000 -350278853813380395385070761/1000000000000000000000000000 75298026372833757284222047/500000000000000000000000000 204745441421833944965075673/200000000000000000000000000


--- Term 15 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
848155677455262253591935129/200000000000000000000000000 838416526595616657754393491/500000000000000000000000000 1375878831200114227203013701/1000000000000000000000000000 168431785943374514751123237/125000000000000000000000000
838416526595616657754393491/500000000000000000000000000 330353705719346039623444699/125000000000000000000000000 -178843627619775684439808407/1000000000000000000000000000 -73403511939653646121679761/250000000000000000000000000
1375878831200114227203013701/1000000000000000000000000000 -178843627619775684439808407/1000000000000000000000000000 1559113112878839253160979409/1000000000000000000000000000 1205855928238722555771860911/1000000000000000000000000000
168431785943374514751123237/125000000000000000000000000 -73403511939653646121679761/250000000000000000000000000 1205855928238722555771860911/1000000000000000000000000000 820384053612007429548287447/500000000000000000000000000


--- Term 16 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

Flags :
F1  : {0, 1, 2, 3}
F2  : {0, 1, 2, 3, 4}
F3  : {0, 1, 2, 3, 5}
F4  : {0, 1, 2, 3, 4, 5}
F5  : {0, 1, 2, 3, 6}
F6  : {0, 1, 2, 3, 4, 6}
F7  : {0, 1, 2, 3, 5, 6}
F8  : {0, 1, 2, 3, 4, 5, 6}
F9  : {0, 1, 2, 3, 7}
F10 : {0, 1, 2, 3, 4, 7}
F11 : {0, 1, 2, 3, 5, 7}
F12 : {0, 1, 2, 3, 4, 5, 7}
F13 : {0, 1, 2, 3, 6, 7}
F14 : {0, 1, 2, 3, 4, 6, 7}
F15 : {0, 1, 2, 3, 5, 6, 7}
F16 : {0, 1, 2, 3, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F7)+(F10)
B5 : (F8)+(F12)+(F14)+(F15)
B6 : (F16)

Matrix :
449012777831923869737114703/1000000000000000000000000000 21255860587102299119997493/500000000000000000000000000 -530868882032907469672969/50000000000000000000000000 -24753195022405232612606991/250000000000000000000000000 -8970270268667594028531033/250000000000000000000000000 -7474509340913344886944523/500000000000000000000000000
21255860587102299119997493/500000000000000000000000000 5388099859974596531948729/50000000000000000000000000 -712749190949058445370501/125000000000000000000000000 -5016211817230089991822027/250000000000000000000000000 -4920892793131854903826121/125000000000000000000000000 -396403302024250602530049/50000000000000000000000000
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-7474509340913344886944523/500000000000000000000000000 -396403302024250602530049/50000000000000000000000000 -4303161254025604665035019/500000000000000000000000000 -2513795168235098293038001/250000000000000000000000000 -1580835071004332424313103/500000000000000000000000000 1090704048542118207397789/20000000000000000000000000


--- Term 17 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

Flags :
F1  : {0, 1, 2, 3, 4}
F2  : {0, 1, 2, 3, 5}
F3  : {0, 1, 2, 3, 4, 5}
F4  : {0, 1, 2, 3, 6}
F5  : {0, 1, 2, 3, 4, 6}
F6  : {0, 1, 2, 3, 5, 6}
F7  : {0, 1, 2, 3, 4, 5, 6}
F8  : {0, 1, 2, 3, 7}
F9  : {0, 1, 2, 3, 4, 7}
F10 : {0, 1, 2, 3, 5, 7}
F11 : {0, 1, 2, 3, 4, 5, 7}
F12 : {0, 1, 2, 3, 6, 7}
F13 : {0, 1, 2, 3, 4, 6, 7}
F14 : {0, 1, 2, 3, 5, 6, 7}

Basis :
B1  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
123170924359531923808081853/200000000000000000000000000 -448748913165373225786099171/1000000000000000000000000000 -83552859425005286870121393/1000000000000000000000000000 -18134590705536007251924103/500000000000000000000000000 36269183410337557998685861/1000000000000000000000000000 -36269182100794387141387409/1000000000000000000000000000 4777956099837401273185433/250000000000000000000000000 -26850460052019436181933261/1000000000000000000000000000 702841639535226830788501/125000000000000000000000000 1326732993875771757022109/125000000000000000000000000
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--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

Flags :
F1  : {}
F2  : {4}
F3  : {5}
F4  : {4, 5}
F5  : {6}
F6  : {4, 6}
F7  : {5, 6}
F8  : {4, 5, 6}
F9  : {7}
F10 : {4, 7}
F11 : {5, 7}
F12 : {4, 5, 7}
F13 : {6, 7}
F14 : {4, 6, 7}
F15 : {5, 6, 7}
F16 : {4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F7)+(F10)
B5 : (F8)+(F12)+(F14)+(F15)
B6 : (F16)

Matrix :
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

Flags :
F1  : {4}
F2  : {5}
F3  : {4, 5}
F4  : {6}
F5  : {4, 6}
F6  : {5, 6}
F7  : {4, 5, 6}
F8  : {7}
F9  : {4, 7}
F10 : {5, 7}
F11 : {4, 5, 7}
F12 : {6, 7}
F13 : {4, 6, 7}
F14 : {5, 6, 7}

Basis :
B1  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
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