#Density : 16003118882199968510875982897/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {5, 6, 7}
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 :
9244896369739298735222321/12500000000000000000000000 -10926273024925364800039007/6250000000000000000000000 22665983377062846580840949/50000000000000000000000000 9313390737673121874101269/12500000000000000000000000 1302837016343979963062343/5000000000000000000000000 3038691257704767866091227/6250000000000000000000000
-10926273024925364800039007/6250000000000000000000000 12913442989580880764477969/3125000000000000000000000 -26788263799996736835045083/25000000000000000000000000 -11007224518028553453006523/6250000000000000000000000 -1539785020646467105037481/2500000000000000000000000 -3591340453400063609146709/3125000000000000000000000
22665983377062846580840949/50000000000000000000000000 -26788263799996736835045083/25000000000000000000000000 55570855735160249894420681/200000000000000000000000000 22833913026343949470118761/50000000000000000000000000 3194203696228943121428067/20000000000000000000000000 7450048413804415638504263/25000000000000000000000000
9313390737673121874101269/12500000000000000000000000 -11007224518028553453006523/6250000000000000000000000 22833913026343949470118761/50000000000000000000000000 9382392572456872097311241/12500000000000000000000000 1312489585111258135458627/5000000000000000000000000 3061204569776473804008103/6250000000000000000000000
1302837016343979963062343/5000000000000000000000000 -1539785020646467105037481/2500000000000000000000000 3194203696228943121428067/20000000000000000000000000 1312489585111258135458627/5000000000000000000000000 183602305885441663069569/2000000000000000000000000 428227563992721656625741/2500000000000000000000000
3038691257704767866091227/6250000000000000000000000 -3591340453400063609146709/3125000000000000000000000 7450048413804415638504263/25000000000000000000000000 3061204569776473804008103/6250000000000000000000000 428227563992721656625741/2500000000000000000000000 998782916580358371815849/3125000000000000000000000


--- 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 0/1


--- 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 :
688898584720929587930827479/1000000000000000000000000000 152638257720408033153455083/250000000000000000000000000 592863263493850396606608029/1000000000000000000000000000 15898980442459011579354373/25000000000000000000000000 38501475223343151679294101/125000000000000000000000000 -135679181069101973759635069/200000000000000000000000000 656545247811910840215969251/1000000000000000000000000000 -734097821839523942821134153/1000000000000000000000000000 -608111809188897475946351199/1000000000000000000000000000 -27305181803589514260039683/50000000000000000000000000 -579499200487976081601808029/1000000000000000000000000000 -614654960310819004324931233/500000000000000000000000000
152638257720408033153455083/250000000000000000000000000 316154546864208766441048403/500000000000000000000000000 604537647119768955708871991/1000000000000000000000000000 656137627408723157623406497/1000000000000000000000000000 43076008375994439467748453/100000000000000000000000000 -703093556798321764661939481/1000000000000000000000000000 307836669814454900295197819/500000000000000000000000000 -232906269332309879059076369/500000000000000000000000000 -623894710475988728336965057/1000000000000000000000000000 -302249391884669082453591563/500000000000000000000000000 -157705363516421174616706151/200000000000000000000000000 -64944246934997397732992039/62500000000000000000000000
592863263493850396606608029/1000000000000000000000000000 604537647119768955708871991/1000000000000000000000000000 289412114330820949104237733/500000000000000000000000000 125507968386579316486783871/200000000000000000000000000 401927104878622186192165531/1000000000000000000000000000 -67216672180597885515904593/100000000000000000000000000 594332702356820436100371491/1000000000000000000000000000 -117867363731418420480323849/250000000000000000000000000 -119402980838904213039675237/200000000000000000000000000 -114899076743830344695034531/200000000000000000000000000 -368592980143877012927578313/500000000000000000000000000 -507112426402655723480451731/500000000000000000000000000
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-579499200487976081601808029/1000000000000000000000000000 -157705363516421174616706151/200000000000000000000000000 -368592980143877012927578313/500000000000000000000000000 -32554119524055336498503739/40000000000000000000000000 -734777046298182775154673319/1000000000000000000000000000 87772577220373693766838613/100000000000000000000000000 -654169095578401751572630147/1000000000000000000000000000 301867180891863775029371/5000000000000000000000000 767627911849191313753849173/1000000000000000000000000000 822676769222289863563899099/1000000000000000000000000000 5265429837123358618662681/4000000000000000000000000 441074321301171250239022999/500000000000000000000000000
-614654960310819004324931233/500000000000000000000000000 -64944246934997397732992039/62500000000000000000000000 -507112426402655723480451731/500000000000000000000000000 -270929821884972270536324717/250000000000000000000000000 -126367712124926072765796033/250000000000000000000000000 570792381456288420223084677/500000000000000000000000000 -596086810568667071566235101/500000000000000000000000000 706048313207126664839829187/500000000000000000000000000 519103118443416465498430273/500000000000000000000000000 22581764361604070320481831/25000000000000000000000000 441074321301171250239022999/500000000000000000000000000 295548381604083280530552917/125000000000000000000000000


--- 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 :
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 82260499/40000000


--- 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 :
8856159713708221269258186861/1000000000000000000000000000 1310017224480349079063915841/200000000000000000000000000 3276306236691504209156705017/500000000000000000000000000 -2434250764773673331418370443/1000000000000000000000000000 132789619027194660812433471/1000000000000000000000000000 -2290808137559355334661216171/1000000000000000000000000000 -81952974547960987845939547/200000000000000000000000000 -7834034880076376710576879881/1000000000000000000000000000 -5149927411329914784430308839/1000000000000000000000000000 -1682945508800065167168035807/1000000000000000000000000000
1310017224480349079063915841/200000000000000000000000000 7656475631651231414127340631/1000000000000000000000000000 7659831487384037921336883873/1000000000000000000000000000 -32335140508370972318857739/10000000000000000000000000 918671216552991382991237/8000000000000000000000000 -70993940076511520236082767/25000000000000000000000000 4310086358186201363435137/10000000000000000000000000 -1913796128398275487017600149/250000000000000000000000000 -1248109298972474434028481007/250000000000000000000000000 -119125529823714932616130471/100000000000000000000000000
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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 :
27374529332633201058151/62500000000000000000000000 -2608569037324502920343531/125000000000000000000000000 -11095654030179862859722071/500000000000000000000000000 -3059594825482907668561433/500000000000000000000000000 -193743568987957853244653/50000000000000000000000000 -12021150622349437794533667/500000000000000000000000000
-2608569037324502920343531/125000000000000000000000000 248575321233972217948714347/250000000000000000000000000 66082822360372444724537737/62500000000000000000000000 2915543983753538496279997/10000000000000000000000000 11538859511741286941767553/62500000000000000000000000 572758730803155377020007177/500000000000000000000000000
-11095654030179862859722071/500000000000000000000000000 66082822360372444724537737/62500000000000000000000000 3975016433559472239284846193/1000000000000000000000000000 3578000311508500798522023/8000000000000000000000000 38188067255199494220273377/62500000000000000000000000 1232395160239112620401119031/1000000000000000000000000000
-3059594825482907668561433/500000000000000000000000000 2915543983753538496279997/10000000000000000000000000 3578000311508500798522023/8000000000000000000000000 1444053997667806440288730817/1000000000000000000000000000 11400356772857995263848283/125000000000000000000000000 72675343137022597044500457/200000000000000000000000000
-193743568987957853244653/50000000000000000000000000 11538859511741286941767553/62500000000000000000000000 38188067255199494220273377/62500000000000000000000000 11400356772857995263848283/125000000000000000000000000 119007456184807852791675631/62500000000000000000000000 27909723549675042613861063/125000000000000000000000000
-12021150622349437794533667/500000000000000000000000000 572758730803155377020007177/500000000000000000000000000 1232395160239112620401119031/1000000000000000000000000000 72675343137022597044500457/200000000000000000000000000 27909723549675042613861063/125000000000000000000000000 1400521307593142136248097267/1000000000000000000000000000


--- 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 :
476458171561738641590188433/1000000000000000000000000000 113420948984387198979561579/1000000000000000000000000000 -55250364864362024358624171/500000000000000000000000000 1255944953130930653570539/500000000000000000000000000 -707716084502679860748990757/1000000000000000000000000000 -138658977551186556477324419/1000000000000000000000000000 238957560586439628507090783/1000000000000000000000000000 116737065912197691587267879/1000000000000000000000000000 -275356682626085724241249189/500000000000000000000000000
113420948984387198979561579/1000000000000000000000000000 13017778567402833181285629/125000000000000000000000000 -6576179406391557362207099/250000000000000000000000000 -6996837249683404393505169/250000000000000000000000000 -168471934608067145109879181/1000000000000000000000000000 -11076548905946754871527499/125000000000000000000000000 56883888065835891492991319/1000000000000000000000000000 13894639235494535936225381/500000000000000000000000000 -131097410530175667295274689/1000000000000000000000000000
-55250364864362024358624171/500000000000000000000000000 -6576179406391557362207099/250000000000000000000000000 3203432116233081136808773/125000000000000000000000000 -72820038924930591482337/125000000000000000000000000 82067166066190583538266663/500000000000000000000000000 4019743797489494684667737/125000000000000000000000000 -27709656791536268537121491/500000000000000000000000000 -6768448806012608650508981/250000000000000000000000000 63861040028191540226061931/500000000000000000000000000
1255944953130930653570539/500000000000000000000000000 -6996837249683404393505169/250000000000000000000000000 -72820038924930591482337/125000000000000000000000000 732545237218818955751233/3906250000000000000000000 -1865541420899684904122109/500000000000000000000000000 -22813576771237026507773287/250000000000000000000000000 125978545060892150379297/100000000000000000000000000 15385960884746176725121/25000000000000000000000000 -1451681756971434943496771/500000000000000000000000000
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116737065912197691587267879/1000000000000000000000000000 13894639235494535936225381/500000000000000000000000000 -6768448806012608650508981/250000000000000000000000000 15385960884746176725121/25000000000000000000000000 -173397591089497094395115209/1000000000000000000000000000 -16986425308173212611627553/500000000000000000000000000 58547016643584971909002221/1000000000000000000000000000 715044014940509549374483/25000000000000000000000000 -134930338601277456437880523/1000000000000000000000000000
-275356682626085724241249189/500000000000000000000000000 -131097410530175667295274689/1000000000000000000000000000 63861040028191540226061931/500000000000000000000000000 -1451681756971434943496771/500000000000000000000000000 204503107409218813004500699/250000000000000000000000000 160268742735099076422556453/1000000000000000000000000000 -863120903087736235751391/3125000000000000000000000 -134930338601277456437880523/1000000000000000000000000000 636541104276290948090620387/1000000000000000000000000000


--- 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 :
139363827273813050050672477/1000000000000000000000000000 -248375062146512001/1000000000000000000000000000 631596583569700365937349/100000000000000000000000000 -6315965612740084671161283/1000000000000000000000000000 -6315966100818501808242003/1000000000000000000000000000 -6389346673274379574726053/250000000000000000000000000 -27956020743528949/250000000000000000000000000
-248375062146512001/1000000000000000000000000000 525566378573407405508406781/1000000000000000000000000000 134393205748623936835652961/500000000000000000000000000 -268786412274391886705114353/1000000000000000000000000000 268786413777553591157663349/1000000000000000000000000000 -266556432167219129/500000000000000000000000000 91390226145653366214079071/250000000000000000000000000
631596583569700365937349/100000000000000000000000000 134393205748623936835652961/500000000000000000000000000 1423618165314751675777865223/500000000000000000000000000 -37544447062441961288116659/31250000000000000000000000 17813726754700612276863287/500000000000000000000000000 -20069719116809716836968267/500000000000000000000000000 251084891399435991230368433/500000000000000000000000000
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-6389346673274379574726053/250000000000000000000000000 -266556432167219129/500000000000000000000000000 -20069719116809716836968267/500000000000000000000000000 20069719025770749445321699/500000000000000000000000000 627178724653886031493637/15625000000000000000000000 13469607810678862830355799/12500000000000000000000000 -474456138697358617/500000000000000000000000000
-27956020743528949/250000000000000000000000000 91390226145653366214079071/250000000000000000000000000 251084891399435991230368433/500000000000000000000000000 -251084891512062696139014391/500000000000000000000000000 12554244586791662805342999/25000000000000000000000000 -474456138697358617/500000000000000000000000000 284774135037511816090552557/500000000000000000000000000


--- 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 :
533287606427968694756039437/500000000000000000000000000 20534000190319628857281183/25000000000000000000000000 11311267529962150524059033/20000000000000000000000000 156130657030713105449499807/200000000000000000000000000 -22453725627768165913114051/125000000000000000000000000 145925126005749294347396531/1000000000000000000000000000 -175052504040159227609685181/125000000000000000000000000 -1271028298161688146978400049/1000000000000000000000000000 -230678259424312586942251047/250000000000000000000000000 -6122159156696318174464011/15625000000000000000000000 88372528179644337861077929/1000000000000000000000000000 87727087165190801050312011/200000000000000000000000000
20534000190319628857281183/25000000000000000000000000 5764115661482037973226829/2500000000000000000000000 76715029471015515203737663/500000000000000000000000000 263593030541542039821491393/500000000000000000000000000 -161507551287437104289830101/250000000000000000000000000 3921623339761804880879751/25000000000000000000000000 -1511531866158164115955657/1250000000000000000000000 -110477676855997529297658697/100000000000000000000000000 -371539231814867071853116291/500000000000000000000000000 -65822551717554659187973487/250000000000000000000000000 75321610294378267212105343/500000000000000000000000000 2210462509269150899388681/6250000000000000000000000
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87727087165190801050312011/200000000000000000000000000 2210462509269150899388681/6250000000000000000000000 57202173451451554830538267/250000000000000000000000000 333116463040117402901970537/1000000000000000000000000000 -68043351903724490429024949/1000000000000000000000000000 37040517653174322549254387/500000000000000000000000000 -308642396318484520419438799/500000000000000000000000000 -281276064048241349359225327/500000000000000000000000000 -389935766621952437316587061/1000000000000000000000000000 -148980306815630826035088861/1000000000000000000000000000 62459900535695690974007953/1000000000000000000000000000 185414550408803892588503161/1000000000000000000000000000


--- 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 :
15559229779608151340286509359/1000000000000000000000000000 79968375006313279433824119/8000000000000000000000000 -8989501709016665459694389/1000000000000000000000000000 -163097820979580442516261569/1000000000000000000000000000
79968375006313279433824119/8000000000000000000000000 11814498243106106014071116087/1000000000000000000000000000 -1695284199996298450166177929/1000000000000000000000000000 -1015034245948461825449376021/1000000000000000000000000000
-8989501709016665459694389/1000000000000000000000000000 -1695284199996298450166177929/1000000000000000000000000000 1758188738292752843485327903/1000000000000000000000000000 936663580858292681356271127/1000000000000000000000000000
-163097820979580442516261569/1000000000000000000000000000 -1015034245948461825449376021/1000000000000000000000000000 936663580858292681356271127/1000000000000000000000000000 543505406022763973787024023/1000000000000000000000000000


--- 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 :
1117030105447021643469/8000000000000000000000000 32565463500961261537031/100000000000000000000000000 0/1 -22659749315229074718717/50000000000000000000000000 -212437466104654630083723/200000000000000000000000000 138750494302625229083701/100000000000000000000000000
32565463500961261537031/100000000000000000000000000 5906008337879104464045531/500000000000000000000000000 0/1 -264245424523802528691623/250000000000000000000000000 -309665982218505732878409/125000000000000000000000000 323606255739506337338361/100000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-22659749315229074718717/50000000000000000000000000 -264245424523802528691623/250000000000000000000000000 0/1 183867645652591423557243/125000000000000000000000000 430944493225411537157103/125000000000000000000000000 -1125860942486737061668321/250000000000000000000000000
-212437466104654630083723/200000000000000000000000000 -309665982218505732878409/125000000000000000000000000 0/1 430944493225411537157103/125000000000000000000000000 8080297350071141731540779/1000000000000000000000000000 -20615354338009153806207/1953125000000000000000000
138750494302625229083701/100000000000000000000000000 323606255739506337338361/100000000000000000000000000 0/1 -1125860942486737061668321/250000000000000000000000000 -20615354338009153806207/1953125000000000000000000 6893887488025595851216779/500000000000000000000000000


--- 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 :
1501563638763706139198661029/250000000000000000000000000 -1196610002916857575973687201/200000000000000000000000000 -11602271182627006298495699/1000000000000000000000000000 -1818847434943201840915397733/1000000000000000000000000000 909423721898020464878511101/500000000000000000000000000 -909423721430053931145281257/500000000000000000000000000 0/1 -35223092603705362842875921/250000000000000000000000000 35223092603705362842875921/250000000000000000000000000 763745655744595589/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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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 :
13335932336615585377149337/40000000000000000000000000 8038404401844180096846227/25000000000000000000000000 -2154297205294424855752317/25000000000000000000000000 -31878786011037152558384101/100000000000000000000000000 -6657001402768732898625957/20000000000000000000000000 -30836407824372124347735221/50000000000000000000000000
8038404401844180096846227/25000000000000000000000000 77524023003837442243257739/250000000000000000000000000 -20776484698061700594216117/250000000000000000000000000 -38430694956810559426945399/125000000000000000000000000 -8025186095489645052317997/25000000000000000000000000 -37174081291927348415141459/62500000000000000000000000
-2154297205294424855752317/25000000000000000000000000 -20776484698061700594216117/250000000000000000000000000 23146529929168022034678027/250000000000000000000000000 10299449316185440304399337/125000000000000000000000000 2150754690635032352688819/25000000000000000000000000 9962676098097999338238477/62500000000000000000000000
-31878786011037152558384101/100000000000000000000000000 -38430694956810559426945399/125000000000000000000000000 10299449316185440304399337/125000000000000000000000000 76204420649858021447974861/250000000000000000000000000 15913182358564319973600213/50000000000000000000000000 73712675017343776446736301/125000000000000000000000000
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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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