#Density : 3492612718817706581167434317/24000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 10, 11, 12, 13, 14}
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 :
124300272161744761485914289/1000000000000000000000000000 -157006493482555065370255371/1000000000000000000000000000 102244375257247125010318851/1000000000000000000000000000 -5278725602655451062518961/200000000000000000000000000 -4234894992324023280246927/500000000000000000000000000 26524250494428746609521227/250000000000000000000000000
-157006493482555065370255371/1000000000000000000000000000 198318463563866003702775369/1000000000000000000000000000 -129147189770960466700543089/1000000000000000000000000000 6667678055049289355066379/200000000000000000000000000 5349191932149778976598453/500000000000000000000000000 -33503382494321399105766153/250000000000000000000000000
102244375257247125010318851/1000000000000000000000000000 -129147189770960466700543089/1000000000000000000000000000 84102086744763488044744409/1000000000000000000000000000 -4342066127543433445392899/200000000000000000000000000 -3483453296118159715228093/500000000000000000000000000 21817775406321592623871793/250000000000000000000000000
-5278725602655451062518961/200000000000000000000000000 6667678055049289355066379/200000000000000000000000000 -4342066127543433445392899/200000000000000000000000000 224174440679189451610289/40000000000000000000000000 179845532368980728007823/100000000000000000000000000 -1126419417601878548008523/50000000000000000000000000
-4234894992324023280246927/500000000000000000000000000 5349191932149778976598453/500000000000000000000000000 -3483453296118159715228093/500000000000000000000000000 179845532368980728007823/100000000000000000000000000 144282351793036901965361/250000000000000000000000000 -903677953720319473510261/125000000000000000000000000
26524250494428746609521227/250000000000000000000000000 -33503382494321399105766153/250000000000000000000000000 21817775406321592623871793/250000000000000000000000000 -1126419417601878548008523/50000000000000000000000000 -903677953720319473510261/125000000000000000000000000 5659970425291853283465161/62500000000000000000000000


--- 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 :
1117023960633310047396955291/1000000000000000000000000000 -115945181063559382787079893/500000000000000000000000000 284493442920373472568982177/1000000000000000000000000000 -188040755432137850014531453/1000000000000000000000000000 238576077167291246936461451/1000000000000000000000000000 572710780883222959668810619/1000000000000000000000000000 -34611176870338290240701867/50000000000000000000000000 146583160729552423850858649/1000000000000000000000000000 -1596913628484377902554469/8000000000000000000000000 -28263083236332716707579157/250000000000000000000000000 -236808469827330355540240381/1000000000000000000000000000 -8389549441041054890905307/50000000000000000000000000
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-236808469827330355540240381/1000000000000000000000000000 -190656891860535023295325951/500000000000000000000000000 -109473765582972022600814499/1000000000000000000000000000 29415758864110195022053523/500000000000000000000000000 -207924485383940942453816109/1000000000000000000000000000 50049163339052488174983277/50000000000000000000000000 -1076295646419106531666688391/1000000000000000000000000000 667474695247521113101299673/500000000000000000000000000 -21865824740777096790471507/500000000000000000000000000 9133056481092537456181561/100000000000000000000000000 78343431892557093464827159/62500000000000000000000000 -2157040971472487991016959973/1000000000000000000000000000
-8389549441041054890905307/50000000000000000000000000 129619294785171451587820727/250000000000000000000000000 -113373589346929697494279/390625000000000000000000 -494908306319184059332585963/1000000000000000000000000000 174350730271310717010038741/1000000000000000000000000000 -17638184463962948117030319/8000000000000000000000000 2549217892634731332809992207/1000000000000000000000000000 -1290616547227021795478344507/500000000000000000000000000 13389510313878159065516909/20000000000000000000000000 21199349806376847508724897/200000000000000000000000000 -2157040971472487991016959973/1000000000000000000000000000 4284150374560403291254903909/1000000000000000000000000000


--- 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 :
58826290845732481549801057/250000000000000000000000000 -124488104625118155139432399/1000000000000000000000000000 99837073415044622293343073/500000000000000000000000000 127279316305839635161284681/1000000000000000000000000000
-124488104625118155139432399/1000000000000000000000000000 4342727871568978355438700403/1000000000000000000000000000 -48408447009594631861732113/100000000000000000000000000 165432531526381703704286871/200000000000000000000000000
99837073415044622293343073/500000000000000000000000000 -48408447009594631861732113/100000000000000000000000000 202926160560402238809414871/1000000000000000000000000000 28854534193642195917793251/1000000000000000000000000000
127279316305839635161284681/1000000000000000000000000000 165432531526381703704286871/200000000000000000000000000 28854534193642195917793251/1000000000000000000000000000 989881414881907127405044743/500000000000000000000000000


--- 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 :
166004803200349717068792119/31250000000000000000000000 2172367611300901944681364053/1000000000000000000000000000 -2776966818436211754939292249/1000000000000000000000000000 1039039754963211969767805363/500000000000000000000000000 -28277612873107636032662867/50000000000000000000000000 -209095652679701910351056041/1000000000000000000000000000 -78307590264718628423938759/20000000000000000000000000 -19302684813022615706618499/500000000000000000000000000 40529390110947588224299269/200000000000000000000000000 -1567129288537055802469390569/500000000000000000000000000
2172367611300901944681364053/1000000000000000000000000000 2148280435437416481340188793/1000000000000000000000000000 -89987563403481681644821647/500000000000000000000000000 272914424955237246900345091/1000000000000000000000000000 -308546673695700764882927303/500000000000000000000000000 -141414445830285013574695441/1000000000000000000000000000 -993141755758939244262324369/1000000000000000000000000000 -736660585430122678097872091/1000000000000000000000000000 -93967349210086064189613031/250000000000000000000000000 -1458239803775909743105540577/1000000000000000000000000000
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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 :
6371895051459318005688893/200000000000000000000000000 29700526446517545995859179/100000000000000000000000000 8856144688214557151887771/100000000000000000000000000 463942984237591923361407/2000000000000000000000000 29884444066956908053995399/100000000000000000000000000 -29358579236610395428151331/200000000000000000000000000
29700526446517545995859179/100000000000000000000000000 141826729922890013653460083/50000000000000000000000000 9828878158665205912896459/12500000000000000000000000 110580471577535813235346113/50000000000000000000000000 28579055329796682663840731/10000000000000000000000000 -28975405807928035503962491/20000000000000000000000000
8856144688214557151887771/100000000000000000000000000 9828878158665205912896459/12500000000000000000000000 1720128516348606329026124867/1000000000000000000000000000 616353130084480587309833901/1000000000000000000000000000 788972071623774038273188133/1000000000000000000000000000 -180733937209704231886409821/500000000000000000000000000
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29884444066956908053995399/100000000000000000000000000 28579055329796682663840731/10000000000000000000000000 788972071623774038273188133/1000000000000000000000000000 2228062416841811867371239479/1000000000000000000000000000 2879646189961469983633403237/1000000000000000000000000000 -365563428023033335426221067/250000000000000000000000000
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--- 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 :
154872263077631616039455583/200000000000000000000000000 119319390357633911185111987/200000000000000000000000000 -150418370984932972791109/50000000000000000000000000 31214023295067609642817691/200000000000000000000000000 -41011019517919895705534059/50000000000000000000000000 -82329392333603611022409551/100000000000000000000000000 19424496675921005602877477/50000000000000000000000000 -4545133121521033826853437/50000000000000000000000000 -22646765345194852406275583/50000000000000000000000000
119319390357633911185111987/200000000000000000000000000 459917220995850460715802543/1000000000000000000000000000 -798576115120845688776753/125000000000000000000000000 27006233418671230478571063/200000000000000000000000000 -157868460270666663778985941/250000000000000000000000000 -328588217093841366101380371/500000000000000000000000000 9341919456998854462733303/31250000000000000000000000 -8901832437097392352841493/125000000000000000000000000 -86466177623771234363419681/250000000000000000000000000
-150418370984932972791109/50000000000000000000000000 -798576115120845688776753/125000000000000000000000000 30480719310699693514931591/500000000000000000000000000 -22041710507150590056198957/100000000000000000000000000 -1008972952084625419971937/250000000000000000000000000 169726522117584058763964553/500000000000000000000000000 1833486548965509805610643/250000000000000000000000000 8522192137225904768597321/500000000000000000000000000 -23995756419657532890366259/500000000000000000000000000
31214023295067609642817691/200000000000000000000000000 27006233418671230478571063/200000000000000000000000000 -22041710507150590056198957/100000000000000000000000000 165331042940033372359687041/200000000000000000000000000 -3497533637128833838760003/25000000000000000000000000 -69413501547483587078860041/50000000000000000000000000 2578058701080376485027199/50000000000000000000000000 -8000755986411392562093099/100000000000000000000000000 8288039700698500223620867/100000000000000000000000000
-41011019517919895705534059/50000000000000000000000000 -157868460270666663778985941/250000000000000000000000000 -1008972952084625419971937/250000000000000000000000000 -3497533637128833838760003/25000000000000000000000000 108726853314833940342678909/125000000000000000000000000 208673219217896577505487679/250000000000000000000000000 -51734023952123204588722051/125000000000000000000000000 23673013615085575983696153/250000000000000000000000000 121751919426585515258861613/250000000000000000000000000
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19424496675921005602877477/50000000000000000000000000 9341919456998854462733303/31250000000000000000000000 1833486548965509805610643/250000000000000000000000000 2578058701080376485027199/50000000000000000000000000 -51734023952123204588722051/125000000000000000000000000 -24026552930623071132054359/62500000000000000000000000 51737241950650841820749963/250000000000000000000000000 -11574065194742581726493437/250000000000000000000000000 -30678387968010694977505871/125000000000000000000000000
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-22646765345194852406275583/50000000000000000000000000 -86466177623771234363419681/250000000000000000000000000 -23995756419657532890366259/500000000000000000000000000 8288039700698500223620867/100000000000000000000000000 121751919426585515258861613/250000000000000000000000000 113826352174771882251305573/500000000000000000000000000 -30678387968010694977505871/125000000000000000000000000 21359932542798855490663231/500000000000000000000000000 158364575190222316163315921/500000000000000000000000000


--- 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 :
2216879565314939175449581/31250000000000000000000000 -32846839303714197/125000000000000000000000000 -13703670725950008542629431/125000000000000000000000000 54814682966240870412089843/500000000000000000000000000 54814682091748015762989421/500000000000000000000000000 -17773958779555947413558867/125000000000000000000000000 -136051827751528433/250000000000000000000000000
-32846839303714197/125000000000000000000000000 3692529695256220515383827/31250000000000000000000000 265878553206528330016449063/1000000000000000000000000000 -66469638385005880924820371/250000000000000000000000000 265878557896510030644310003/1000000000000000000000000000 -74707427780546793/25000000000000000000000000 93562925663633238484525933/500000000000000000000000000
-13703670725950008542629431/125000000000000000000000000 265878553206528330016449063/1000000000000000000000000000 2910862585360027921964805279/1000000000000000000000000000 -1817705844419593339735151271/1000000000000000000000000000 -1714335204023451694372139751/1000000000000000000000000000 1284504350290177812226658487/500000000000000000000000000 84211832655564373277575197/200000000000000000000000000
54814682966240870412089843/500000000000000000000000000 -66469638385005880924820371/250000000000000000000000000 -1817705844419593339735151271/1000000000000000000000000000 291086258533665349378020593/100000000000000000000000000 621178462596007032617547751/1000000000000000000000000000 -1284504350462057412402149397/500000000000000000000000000 -210529581873974499841166139/500000000000000000000000000
54814682091748015762989421/500000000000000000000000000 265878557896510030644310003/1000000000000000000000000000 -1714335204023451694372139751/1000000000000000000000000000 621178462596007032617547751/1000000000000000000000000000 2910862589212492874841468461/1000000000000000000000000000 -80281521943738992277719927/31250000000000000000000000 421059166893617211380884929/1000000000000000000000000000
-17773958779555947413558867/125000000000000000000000000 -74707427780546793/25000000000000000000000000 1284504350290177812226658487/500000000000000000000000000 -1284504350462057412402149397/500000000000000000000000000 -80281521943738992277719927/31250000000000000000000000 233860268976963871441813053/62500000000000000000000000 -31335310088069449/15625000000000000000000000
-136051827751528433/250000000000000000000000000 93562925663633238484525933/500000000000000000000000000 84211832655564373277575197/200000000000000000000000000 -210529581873974499841166139/500000000000000000000000000 421059166893617211380884929/1000000000000000000000000000 -31335310088069449/15625000000000000000000000 37042783763800948532722093/125000000000000000000000000


--- 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 :
1186585270563882113364288367/200000000000000000000000000 1021219199133046575650982431/250000000000000000000000000 -697991257897209565175841463/500000000000000000000000000 1289526558706723661363063469/1000000000000000000000000000 -384965360617863244927691947/500000000000000000000000000 -597336340746455980422670647/100000000000000000000000000 1481748666101725870768839883/1000000000000000000000000000 385689719835386087258509777/200000000000000000000000000 -673288105576814141504927427/1000000000000000000000000000 385550082395164063316640271/1000000000000000000000000000 -156410732224769213589259/400000000000000000000000 -501436692511495589871945643/500000000000000000000000000
1021219199133046575650982431/250000000000000000000000000 2286365483258847020860072327/500000000000000000000000000 -228441268352596010376992557/500000000000000000000000000 501527437669205236378761969/250000000000000000000000000 -31644082358139909990320231/62500000000000000000000000 -133790743219507010805112311/31250000000000000000000000 124067126074524958122119483/125000000000000000000000000 2263377731886523951042249/5000000000000000000000000 -572294949282002537829231333/500000000000000000000000000 -160135273566589253058414689/250000000000000000000000000 456031137060039057790958131/500000000000000000000000000 -454643658809876085390504887/250000000000000000000000000
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-501436692511495589871945643/500000000000000000000000000 -454643658809876085390504887/250000000000000000000000000 -57194157772176305170663967/200000000000000000000000000 -1089323220077398701702311457/1000000000000000000000000000 -384210453712075671990623431/1000000000000000000000000000 100903174948951018401297033/125000000000000000000000000 197225522838254032591220561/1000000000000000000000000000 61032906464558963958832499/125000000000000000000000000 733430141881412582781250077/1000000000000000000000000000 355581722360478735135990523/500000000000000000000000000 -727417170704704888467113633/1000000000000000000000000000 978221952940514053409009861/1000000000000000000000000000


--- 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 :
329231043695676981296742411/200000000000000000000000000 466966635008458153968065361/1000000000000000000000000000 1256675391455359757836730939/1000000000000000000000000000 288428259962503466196228989/500000000000000000000000000
466966635008458153968065361/1000000000000000000000000000 315887666930609595558496791/1000000000000000000000000000 676437197233478294647157613/1000000000000000000000000000 187257759230578866693254727/500000000000000000000000000
1256675391455359757836730939/1000000000000000000000000000 676437197233478294647157613/1000000000000000000000000000 2040824645857857507414573919/1000000000000000000000000000 427780498507333640959622749/500000000000000000000000000
288428259962503466196228989/500000000000000000000000000 187257759230578866693254727/500000000000000000000000000 427780498507333640959622749/500000000000000000000000000 22443557290518711837943937/50000000000000000000000000


--- 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 :
83641055486686214727540667/125000000000000000000000000 66443886581171710824717629/250000000000000000000000000 -3972294625523646104046187/62500000000000000000000000 -10958553961731623940583359/50000000000000000000000000 -21858212706675506668485851/125000000000000000000000000 -23972417279525755679935631/125000000000000000000000000
66443886581171710824717629/250000000000000000000000000 52782572366202934554038923/500000000000000000000000000 -3155563879837738242873869/125000000000000000000000000 -8705400861934935476681433/100000000000000000000000000 -17364015763534386001687837/250000000000000000000000000 -19043525521397462721282697/250000000000000000000000000
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-10958553961731623940583359/50000000000000000000000000 -8705400861934935476681433/100000000000000000000000000 520445429010953696628399/25000000000000000000000000 1435777014450750173222643/20000000000000000000000000 2863837645990011638866527/50000000000000000000000000 3140838274005844592179587/50000000000000000000000000
-21858212706675506668485851/125000000000000000000000000 -17364015763534386001687837/250000000000000000000000000 1038093796796965846358411/62500000000000000000000000 2863837645990011638866527/50000000000000000000000000 5712283996778623888516603/125000000000000000000000000 6264796551646404202224943/125000000000000000000000000
-23972417279525755679935631/125000000000000000000000000 -19043525521397462721282697/250000000000000000000000000 1138501944603366646564991/62500000000000000000000000 3140838274005844592179587/50000000000000000000000000 6264796551646404202224943/125000000000000000000000000 6870750098498944987678483/125000000000000000000000000


--- 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 :
138163946273181795723660297/1000000000000000000000000000 -128101401575884034967957723/1000000000000000000000000000 -503127238441061358327393/100000000000000000000000000 -105375199500218014335381069/1000000000000000000000000000 105375199500218014335381069/1000000000000000000000000000 -105375199147372874994802413/1000000000000000000000000000 -6058730948739136717210647/1000000000000000000000000000 30508040014151610297311241/500000000000000000000000000 -38938993672950180740486907/500000000000000000000000000 843095372290168557195651/100000000000000000000000000
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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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