#Density : 24306865203852438508851367343/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {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 :
43375352304727045116425909/250000000000000000000000000 -117616867162847934211204387/250000000000000000000000000 11722132581383114916873423/100000000000000000000000000 176344246748844845982820093/500000000000000000000000000 -70477037311010730072068383/250000000000000000000000000 104797365455548825098414939/500000000000000000000000000
-117616867162847934211204387/250000000000000000000000000 318930607041903318367081541/250000000000000000000000000 -31785805473205958078591289/100000000000000000000000000 -478176124059538827875987099/500000000000000000000000000 191105959836477457630206569/250000000000000000000000000 -284169168822138525134233677/500000000000000000000000000
11722132581383114916873423/100000000000000000000000000 -31785805473205958078591289/100000000000000000000000000 3167891093775595803878781/40000000000000000000000000 47656803472898172737663271/200000000000000000000000000 -19046327727757025338049901/100000000000000000000000000 28321351799504021922676833/200000000000000000000000000
176344246748844845982820093/500000000000000000000000000 -478176124059538827875987099/500000000000000000000000000 47656803472898172737663271/200000000000000000000000000 716934657797084764184969861/1000000000000000000000000000 -286527241793630195919219191/500000000000000000000000000 426057922081895714129792403/1000000000000000000000000000
-70477037311010730072068383/250000000000000000000000000 191105959836477457630206569/250000000000000000000000000 -19046327727757025338049901/100000000000000000000000000 -286527241793630195919219191/500000000000000000000000000 114512333023662694112803421/250000000000000000000000000 -170276607401790171425694993/500000000000000000000000000
104797365455548825098414939/500000000000000000000000000 -284169168822138525134233677/500000000000000000000000000 28321351799504021922676833/200000000000000000000000000 426057922081895714129792403/1000000000000000000000000000 -170276607401790171425694993/500000000000000000000000000 253196509604533791455154069/1000000000000000000000000000


--- 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 :
50639302025010895695286573/200000000000000000000000000 -5407137834077490846484767/40000000000000000000000000 -3600198357713821334960543/8000000000000000000000000 -84082196038051700573793153/200000000000000000000000000 -7871961497053652436685211/200000000000000000000000000 8346721229095896979766321/40000000000000000000000000
-5407137834077490846484767/40000000000000000000000000 17094715902271094622939853/62500000000000000000000000 -135661776757935989167130671/500000000000000000000000000 183756690957151209075603109/500000000000000000000000000 -36167795309905564841212151/250000000000000000000000000 -86274355215908162288231699/500000000000000000000000000
-3600198357713821334960543/8000000000000000000000000 -135661776757935989167130671/500000000000000000000000000 32808127856624405165006787/15625000000000000000000000 95932965070393683928400957/250000000000000000000000000 245467845342139220448948783/500000000000000000000000000 -3367583835662143023455897/15625000000000000000000000
-84082196038051700573793153/200000000000000000000000000 183756690957151209075603109/500000000000000000000000000 95932965070393683928400957/250000000000000000000000000 99963123180951382683917441/125000000000000000000000000 -26184968498617684843225217/500000000000000000000000000 -97479832119644267186967767/250000000000000000000000000
-7871961497053652436685211/200000000000000000000000000 -36167795309905564841212151/250000000000000000000000000 245467845342139220448948783/500000000000000000000000000 -26184968498617684843225217/500000000000000000000000000 17807351861109902072796669/125000000000000000000000000 8938248818192013852375827/500000000000000000000000000
8346721229095896979766321/40000000000000000000000000 -86274355215908162288231699/500000000000000000000000000 -3367583835662143023455897/15625000000000000000000000 -97479832119644267186967767/250000000000000000000000000 8938248818192013852375827/500000000000000000000000000 2977160588457079585829307/15625000000000000000000000


--- 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 :
722433505973221623803630371/250000000000000000000000000 530683147077264233707982997/250000000000000000000000000 1380251549178347951910371783/1000000000000000000000000000 21596436979140141640379817/40000000000000000000000000 60408942364167735179264651/200000000000000000000000000 -458374727251261306460215877/500000000000000000000000000 -976324345634955209153725401/250000000000000000000000000 62477521336098055725482249/250000000000000000000000000 -2792297743356533780451384497/1000000000000000000000000000 120578854953864853725767541/200000000000000000000000000 -1568271949736801704897853053/1000000000000000000000000000 -1592328076050283253258705593/500000000000000000000000000
530683147077264233707982997/250000000000000000000000000 397442361196357847302611883/250000000000000000000000000 503386266503318775819717863/500000000000000000000000000 3820186710603726568095969/10000000000000000000000000 8693277979239352954504769/31250000000000000000000000 -89125311884394282216483037/125000000000000000000000000 -723905040486013463526315681/250000000000000000000000000 19071593137149490462043129/125000000000000000000000000 -1032470536821752406436824449/500000000000000000000000000 1790347304112508157649917/4000000000000000000000000 -576281234631819676462144051/500000000000000000000000000 -1142718351409590618175470643/500000000000000000000000000
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-1592328076050283253258705593/500000000000000000000000000 -1142718351409590618175470643/500000000000000000000000000 -1533742259465290677980843757/1000000000000000000000000000 -317394801507062358707246389/500000000000000000000000000 -29144042013625215414331199/125000000000000000000000000 871319022741942602552543629/1000000000000000000000000000 2128134235729030269190173313/500000000000000000000000000 -173018022507479551156898299/500000000000000000000000000 3052867512339147330662417097/1000000000000000000000000000 -340059626919547409155967223/500000000000000000000000000 431840279981165793208557053/250000000000000000000000000 380337240260498107695625041/100000000000000000000000000


--- 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 :
445464688350944025917544819/200000000000000000000000000 491668035104158484725166129/250000000000000000000000000 133465213906817868757985047/1000000000000000000000000000 1149223142893417991217342967/1000000000000000000000000000
491668035104158484725166129/250000000000000000000000000 176887992034882186289950271/62500000000000000000000000 29461630182527544040256921/250000000000000000000000000 339795194304601308513587321/250000000000000000000000000
133465213906817868757985047/1000000000000000000000000000 29461630182527544040256921/250000000000000000000000000 7997474901606262350654447/1000000000000000000000000000 68863512771965251887423087/1000000000000000000000000000
1149223142893417991217342967/1000000000000000000000000000 339795194304601308513587321/250000000000000000000000000 68863512771965251887423087/1000000000000000000000000000 3457241351231195181588282207/1000000000000000000000000000


--- 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 :
18678491015125960378455325367/1000000000000000000000000000 197378337757140812660786347/125000000000000000000000000 809422944403397357403773521/1000000000000000000000000000 -6884839075656442397779406727/500000000000000000000000000 558215599864497809429032691/500000000000000000000000000 -437262412725579178256700331/500000000000000000000000000 1724325102955112035925210343/1000000000000000000000000000 -238896151270290840164430329/500000000000000000000000000 -537467901671526207971578609/250000000000000000000000000 624452979275651580355765187/125000000000000000000000000
197378337757140812660786347/125000000000000000000000000 1080591939088837555447831017/1000000000000000000000000000 287420554940315147561935887/200000000000000000000000000 -632972022455368428963378023/500000000000000000000000000 -63801783287791348859105813/125000000000000000000000000 -615504481985356313354125553/1000000000000000000000000000 506978922544969381842554929/500000000000000000000000000 -1006840684299407870546830287/1000000000000000000000000000 -165633522828829766583191009/250000000000000000000000000 346395574403625026615041967/500000000000000000000000000
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624452979275651580355765187/125000000000000000000000000 346395574403625026615041967/500000000000000000000000000 1017233798145467995361563973/1000000000000000000000000000 -3742359562517008410816952011/1000000000000000000000000000 46637388724791182729620511/1000000000000000000000000000 -452994786948394488948234027/1000000000000000000000000000 240474350460661039141648047/250000000000000000000000000 -693213198635647614999565143/1000000000000000000000000000 -164792135478806210579772381/200000000000000000000000000 1494338919620705159732192791/1000000000000000000000000000


--- 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 :
109981518392187047814755047/100000000000000000000000000 87424676344539333966891003/250000000000000000000000000 63227107947796248637636501/100000000000000000000000000 -336905406639561492376052827/1000000000000000000000000000 50511296889530460277369739/1000000000000000000000000000 -115161059633392255589820223/1000000000000000000000000000
87424676344539333966891003/250000000000000000000000000 185058381222865097632316563/125000000000000000000000000 470835341256042081892719861/500000000000000000000000000 -232329161534069715301088679/1000000000000000000000000000 183787808097592256412066041/1000000000000000000000000000 -326055205979275765512691859/1000000000000000000000000000
63227107947796248637636501/100000000000000000000000000 470835341256042081892719861/500000000000000000000000000 4002708525214156011147918019/1000000000000000000000000000 -410063239295359997222779837/1000000000000000000000000000 2755216462171898405833621/5000000000000000000000000 31534799514771623273550013/200000000000000000000000000
-336905406639561492376052827/1000000000000000000000000000 -232329161534069715301088679/1000000000000000000000000000 -410063239295359997222779837/1000000000000000000000000000 290758887003856335997432001/500000000000000000000000000 -21941926198918325466309137/1000000000000000000000000000 5407282547673596182437799/40000000000000000000000000
50511296889530460277369739/1000000000000000000000000000 183787808097592256412066041/1000000000000000000000000000 2755216462171898405833621/5000000000000000000000000 -21941926198918325466309137/1000000000000000000000000000 116266849651634002145274273/200000000000000000000000000 5177657054131184102952551/15625000000000000000000000
-115161059633392255589820223/1000000000000000000000000000 -326055205979275765512691859/1000000000000000000000000000 31534799514771623273550013/200000000000000000000000000 5407282547673596182437799/40000000000000000000000000 5177657054131184102952551/15625000000000000000000000 3393735824509472099658093/6250000000000000000000000


--- 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 :
221870290438709357968837621/1000000000000000000000000000 96097479495648865066603443/1000000000000000000000000000 2455036459325578373144379/50000000000000000000000000 -36173653672077708135332493/1000000000000000000000000000 -256258071170244058301481629/1000000000000000000000000000 -80499744066949092463777911/500000000000000000000000000 15709106724318319639222913/62500000000000000000000000 -41945962083468316325816873/250000000000000000000000000 -1051303422166114249108551/8000000000000000000000000
96097479495648865066603443/1000000000000000000000000000 41622181803415921196151477/1000000000000000000000000000 5316683393281273740869067/250000000000000000000000000 -15667699047530721005718063/1000000000000000000000000000 -110991673068007304336529273/1000000000000000000000000000 -17433209489672890335910959/250000000000000000000000000 13608000948213127141454721/125000000000000000000000000 -36335655605542907151569271/500000000000000000000000000 -56918171004074820432152433/1000000000000000000000000000
2455036459325578373144379/50000000000000000000000000 5316683393281273740869067/250000000000000000000000000 26018205450390951741495009/100000000000000000000000000 -11625646723761761729460351/250000000000000000000000000 -14177718589607877554147553/250000000000000000000000000 -20259216086935103453790009/500000000000000000000000000 6952968720894291318700401/125000000000000000000000000 -18565598160439128057275211/500000000000000000000000000 -14541087498074022248558469/500000000000000000000000000
-36173653672077708135332493/1000000000000000000000000000 -15667699047530721005718063/1000000000000000000000000000 -11625646723761761729460351/250000000000000000000000000 84387670831258407406788333/1000000000000000000000000000 41780225277427065034190913/1000000000000000000000000000 4891368496345630729108629/500000000000000000000000000 -10244828811535686006310011/250000000000000000000000000 6838854814752420920085213/250000000000000000000000000 21425517283443544511836047/1000000000000000000000000000
-256258071170244058301481629/1000000000000000000000000000 -110991673068007304336529273/1000000000000000000000000000 -14177718589607877554147553/250000000000000000000000000 41780225277427065034190913/1000000000000000000000000000 295975630220912364096749143/1000000000000000000000000000 4648821863407421599871457/25000000000000000000000000 -145150948548232880802908117/500000000000000000000000000 9689437297472814830633033/50000000000000000000000000 151780679291414144079701733/1000000000000000000000000000
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15709106724318319639222913/62500000000000000000000000 13608000948213127141454721/125000000000000000000000000 6952968720894291318700401/125000000000000000000000000 -10244828811535686006310011/250000000000000000000000000 -145150948548232880802908117/500000000000000000000000000 -18238823312030144229524691/100000000000000000000000000 8898028973165067728222273/31250000000000000000000000 -95036947033582688378408999/500000000000000000000000000 -37217776264214990340485109/250000000000000000000000000
-41945962083468316325816873/250000000000000000000000000 -36335655605542907151569271/500000000000000000000000000 -18565598160439128057275211/500000000000000000000000000 6838854814752420920085213/250000000000000000000000000 9689437297472814830633033/50000000000000000000000000 60875914579198474621420953/500000000000000000000000000 -95036947033582688378408999/500000000000000000000000000 15860291448924797616569777/125000000000000000000000000 12422216770552185211174101/125000000000000000000000000
-1051303422166114249108551/8000000000000000000000000 -56918171004074820432152433/1000000000000000000000000000 -14541087498074022248558469/500000000000000000000000000 21425517283443544511836047/1000000000000000000000000000 151780679291414144079701733/1000000000000000000000000000 47679691743852945722622819/500000000000000000000000000 -37217776264214990340485109/250000000000000000000000000 12422216770552185211174101/125000000000000000000000000 15567075295333144423533171/200000000000000000000000000


--- 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 :
2313802254490614263208229/100000000000000000000000000 -1664618747890581/25000000000000000000000000 11444456021377094246030951/500000000000000000000000000 -4577782159121073278369813/200000000000000000000000000 -11444457231476025672328009/500000000000000000000000000 -32639388343126245861920477/500000000000000000000000000 -144227358995749229/200000000000000000000000000
-1664618747890581/25000000000000000000000000 186913163537598475673913577/500000000000000000000000000 -1877267177778889398972651/125000000000000000000000000 3003627381763208227474863/200000000000000000000000000 -3754534474437555091117221/250000000000000000000000000 -37509136266514209/250000000000000000000000000 49977132847450226715335681/1000000000000000000000000000
11444456021377094246030951/500000000000000000000000000 -1877267177778889398972651/125000000000000000000000000 820499339539290356144519579/500000000000000000000000000 -328832618410501639725817931/1000000000000000000000000000 -34860566837613597068971761/125000000000000000000000000 -11423729322376961215556659/100000000000000000000000000 315489844041640830708536041/1000000000000000000000000000
-4577782159121073278369813/200000000000000000000000000 3003627381763208227474863/200000000000000000000000000 -328832618410501639725817931/1000000000000000000000000000 1640998679419505843563582681/1000000000000000000000000000 -516640763265250006085835983/500000000000000000000000000 14279661563752897672164909/125000000000000000000000000 -315489844737161896731426757/1000000000000000000000000000
-11444457231476025672328009/500000000000000000000000000 -3754534474437555091117221/250000000000000000000000000 -34860566837613597068971761/125000000000000000000000000 -516640763265250006085835983/500000000000000000000000000 164099867803545634520169281/100000000000000000000000000 2284745880041128298330203/20000000000000000000000000 39436230516650215838392089/125000000000000000000000000
-32639388343126245861920477/500000000000000000000000000 -37509136266514209/250000000000000000000000000 -11423729322376961215556659/100000000000000000000000000 14279661563752897672164909/125000000000000000000000000 2284745880041128298330203/20000000000000000000000000 475372596246363260741475149/1000000000000000000000000000 7869065804476551/40000000000000000000000000
-144227358995749229/200000000000000000000000000 49977132847450226715335681/1000000000000000000000000000 315489844041640830708536041/1000000000000000000000000000 -315489844737161896731426757/1000000000000000000000000000 39436230516650215838392089/125000000000000000000000000 7869065804476551/40000000000000000000000000 226158198709142187946695579/500000000000000000000000000


--- 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 :
46209441639048502916507/160000000000000000000000 27602733136219836775754273/200000000000000000000000000 187293330917245700918763421/500000000000000000000000000 8076791442619001466217123/100000000000000000000000000 -186823212411830354778161441/1000000000000000000000000000 232216065373941699393888363/1000000000000000000000000000 190801730669837555552237691/250000000000000000000000000 -131893328869216904489500101/1000000000000000000000000000 -770217879249365898796871/5000000000000000000000000 -279587894378709348803351049/1000000000000000000000000000 -1325157344216599395444985839/1000000000000000000000000000 -268687759382505937757217069/1000000000000000000000000000
27602733136219836775754273/200000000000000000000000000 212294110422529481336225707/200000000000000000000000000 13697839179694096807014893/1000000000000000000000000000 -37664313805857004737083929/1000000000000000000000000000 -151221549032638412720088413/1000000000000000000000000000 3518788503026172711348941/200000000000000000000000000 222618583881117575966495879/1000000000000000000000000000 -223622744419479505685478093/500000000000000000000000000 -17137795342797274676334389/500000000000000000000000000 -32468085189083089381144307/200000000000000000000000000 -198148580816015591031687787/500000000000000000000000000 113105622888020334215475923/1000000000000000000000000000
187293330917245700918763421/500000000000000000000000000 13697839179694096807014893/1000000000000000000000000000 586096300587949255854397187/500000000000000000000000000 47150785382013269567970073/500000000000000000000000000 -304706690942636011936279413/1000000000000000000000000000 58543211825303178442799003/200000000000000000000000000 30531083813393515134072761/31250000000000000000000000 -8236611677130710800448837/40000000000000000000000000 -13290597395824188061501/61035156250000000000000 -73046595051995570102752561/200000000000000000000000000 -1697242979965082370621541479/1000000000000000000000000000 -326584585476527882684935277/1000000000000000000000000000
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190801730669837555552237691/250000000000000000000000000 222618583881117575966495879/1000000000000000000000000000 30531083813393515134072761/31250000000000000000000000 54865426746258677136131971/250000000000000000000000000 -20138664777408729040546443/40000000000000000000000000 679227630777372199143490849/1000000000000000000000000000 1058319445032343434209104383/500000000000000000000000000 -78723570552894607436587601/1000000000000000000000000000 -26403064330158423759505291/62500000000000000000000000 -143732233356280869820688691/200000000000000000000000000 -3668266411883226733709448207/1000000000000000000000000000 -879631353624107411038752499/1000000000000000000000000000
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-268687759382505937757217069/1000000000000000000000000000 113105622888020334215475923/1000000000000000000000000000 -326584585476527882684935277/1000000000000000000000000000 -85379686262191420652056429/1000000000000000000000000000 190407820888602729961877677/1000000000000000000000000000 -327484483579000146150144073/1000000000000000000000000000 -879631353624107411038752499/1000000000000000000000000000 -33587198302657456781422819/100000000000000000000000000 84719800813248964222337487/500000000000000000000000000 45162990949549820060297257/200000000000000000000000000 757825695401000160877809423/500000000000000000000000000 538211363819737550222594333/1000000000000000000000000000


--- 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 :
3163921999441920425524886037/1000000000000000000000000000 221545261628517683111694417/1000000000000000000000000000 322614549740069259728519139/500000000000000000000000000 96707307670780308686509623/1000000000000000000000000000
221545261628517683111694417/1000000000000000000000000000 153568178886817344376854527/200000000000000000000000000 -199737734546784703786289597/200000000000000000000000000 -44130121863352671262178709/200000000000000000000000000
322614549740069259728519139/500000000000000000000000000 -199737734546784703786289597/200000000000000000000000000 3054548038879186258480697529/500000000000000000000000000 2100795949354906497556356079/1000000000000000000000000000
96707307670780308686509623/1000000000000000000000000000 -44130121863352671262178709/200000000000000000000000000 2100795949354906497556356079/1000000000000000000000000000 304092840058269062452009973/250000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 19314389/1000000000 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 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 :
763166777855157281309826701/200000000000000000000000000 -3772451556779767776460111041/1000000000000000000000000000 -338924467098791029875159/15625000000000000000000000 0/1 0/1 0/1 0/1 16656039889263706991257857/200000000000000000000000000 -16656039889263706991257857/200000000000000000000000000 -7843749203238807/50000000000000000000000000
-3772451556779767776460111041/1000000000000000000000000000 763166777855157281309826701/200000000000000000000000000 -338924467098791029875159/15625000000000000000000000 0/1 0/1 0/1 0/1 -16656039889263706991257857/200000000000000000000000000 16656039889263706991257857/200000000000000000000000000 -7843749203238807/50000000000000000000000000
-338924467098791029875159/15625000000000000000000000 -338924467098791029875159/15625000000000000000000000 29811202247943969809895819/7812500000000000000000000 0/1 0/1 0/1 0/1 0/1 0/1 20820050461916918503975521/250000000000000000000000000
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 0/1 0/1 0/1 0/1
16656039889263706991257857/200000000000000000000000000 -16656039889263706991257857/200000000000000000000000000 0/1 0/1 0/1 0/1 0/1 13718516037593836510822393/40000000000000000000000000 -13718516037593836510822393/40000000000000000000000000 0/1
-16656039889263706991257857/200000000000000000000000000 16656039889263706991257857/200000000000000000000000000 0/1 0/1 0/1 0/1 0/1 -13718516037593836510822393/40000000000000000000000000 13718516037593836510822393/40000000000000000000000000 0/1
-7843749203238807/50000000000000000000000000 -7843749203238807/50000000000000000000000000 20820050461916918503975521/250000000000000000000000000 0/1 0/1 0/1 0/1 0/1 0/1 342962901547649937600304699/1000000000000000000000000000


--- 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 :
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 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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