#Density : 5707806817669426983587062131/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 12, 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 :
101823486873160380582184383/250000000000000000000000000 -14253277679644851667656857/500000000000000000000000000 -91981334065901988380524063/500000000000000000000000000 -44026460785868839935226987/125000000000000000000000000 15634592298914934479405329/50000000000000000000000000 1241684864502659910769303/10000000000000000000000000
-14253277679644851667656857/500000000000000000000000000 42400909760460914943359103/1000000000000000000000000000 28855067244447188006061577/1000000000000000000000000000 -10973747321116645339789877/250000000000000000000000000 -1983734800363593811641731/100000000000000000000000000 -106558522742817396540653/20000000000000000000000000
-91981334065901988380524063/500000000000000000000000000 28855067244447188006061577/1000000000000000000000000000 89410020662993635121328943/1000000000000000000000000000 32993801882658311864467357/250000000000000000000000000 -14042375544770758842280293/100000000000000000000000000 -5475340038725399528349783/100000000000000000000000000
-44026460785868839935226987/125000000000000000000000000 -10973747321116645339789877/250000000000000000000000000 32993801882658311864467357/250000000000000000000000000 105216047989514452945947247/250000000000000000000000000 -13693892701322846171635209/50000000000000000000000000 -5654027456575217629586649/50000000000000000000000000
15634592298914934479405329/50000000000000000000000000 -1983734800363593811641731/100000000000000000000000000 -14042375544770758842280293/100000000000000000000000000 -13693892701322846171635209/50000000000000000000000000 30020845485404058355064053/125000000000000000000000000 5968645593410262544877473/62500000000000000000000000
1241684864502659910769303/10000000000000000000000000 -106558522742817396540653/20000000000000000000000000 -5475340038725399528349783/100000000000000000000000000 -5654027456575217629586649/50000000000000000000000000 5968645593410262544877473/62500000000000000000000000 4766763812379569184978997/125000000000000000000000000


--- 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 :
1814574493141359115419/5000000000000000000000000 -425839097376157481574723/25000000000000000000000000 325828759050886584510567/25000000000000000000000000 365937148961163068856039/25000000000000000000000000 112820695061006861577891/25000000000000000000000000 95553399173787802450467/12500000000000000000000000
-425839097376157481574723/25000000000000000000000000 99934688567240790887224491/125000000000000000000000000 -76464551429476135745291439/125000000000000000000000000 -85877072448128288929513263/125000000000000000000000000 -26476434630665330855585547/125000000000000000000000000 -22424195539609409360729739/62500000000000000000000000
325828759050886584510567/25000000000000000000000000 -76464551429476135745291439/125000000000000000000000000 58506487678469908382946531/125000000000000000000000000 65708433347490412213456227/125000000000000000000000000 20258317972577528633701263/125000000000000000000000000 17157766514170815266217231/62500000000000000000000000
365937148961163068856039/25000000000000000000000000 -85877072448128288929513263/125000000000000000000000000 65708433347490412213456227/125000000000000000000000000 73796913544178526521804259/125000000000000000000000000 22752046637098526239981071/125000000000000000000000000 19269828050250179135498127/62500000000000000000000000
112820695061006861577891/25000000000000000000000000 -26476434630665330855585547/125000000000000000000000000 20258317972577528633701263/125000000000000000000000000 22752046637098526239981071/125000000000000000000000000 7014597241479642461070699/125000000000000000000000000 5941007630701201016112363/62500000000000000000000000
95553399173787802450467/12500000000000000000000000 -22424195539609409360729739/62500000000000000000000000 17157766514170815266217231/62500000000000000000000000 19269828050250179135498127/62500000000000000000000000 5941007630701201016112363/62500000000000000000000000 5031731752086272899277931/31250000000000000000000000


--- 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 :
709217058998791357668881111/1000000000000000000000000000 555614386406766734814978491/250000000000000000000000000 -3338914694857325695803113/7812500000000000000000000 502946586201304809489189611/500000000000000000000000000 -579043748891892294944534849/500000000000000000000000000 -65250549661851932059062691/62500000000000000000000000 -69925693270467160556415667/250000000000000000000000000 -1009193255191779237110727077/500000000000000000000000000 -167157961356202479849814719/500000000000000000000000000 -4430462657846851248470387/40000000000000000000000000 -36478871028647928376507317/40000000000000000000000000 314892368224274556437971339/500000000000000000000000000
555614386406766734814978491/250000000000000000000000000 4060374530937722722707817493/500000000000000000000000000 -115071052697024644810784421/125000000000000000000000000 1327193727984497599504314913/500000000000000000000000000 -1811062971246651153881496263/500000000000000000000000000 -2036493997320360949501878509/500000000000000000000000000 -4647373345938598310126287/6250000000000000000000000 -3818386796773608848041636147/500000000000000000000000000 -32294673792627701641623567/100000000000000000000000000 -1080631006289459224623725791/500000000000000000000000000 -1714655964140008557343183883/500000000000000000000000000 55946646335849695481537341/20000000000000000000000000
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314892368224274556437971339/500000000000000000000000000 55946646335849695481537341/20000000000000000000000000 -6180532123711652171671191/31250000000000000000000000 706544576405676986182487927/500000000000000000000000000 -966622635725136567228713701/500000000000000000000000000 115938302128220279955758239/100000000000000000000000000 -5875252868152727451810293/3125000000000000000000000 -2426566915878422151506008437/500000000000000000000000000 -63723253562370883520523677/100000000000000000000000000 -12286767908162718447132247/125000000000000000000000000 -252298628114548183334433177/250000000000000000000000000 1941320115755440818040016051/500000000000000000000000000


--- 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 :
416301675795486829778090601/200000000000000000000000000 -486573213276557893384096623/500000000000000000000000000 974852148810300732400420113/500000000000000000000000000 -1482103218353233213931104749/1000000000000000000000000000
-486573213276557893384096623/500000000000000000000000000 3929846633125249986648137419/1000000000000000000000000000 -949355440378320009924898153/1000000000000000000000000000 292053017146048940819831129/500000000000000000000000000
974852148810300732400420113/500000000000000000000000000 -949355440378320009924898153/1000000000000000000000000000 1826658083517538291833841747/1000000000000000000000000000 -693534890555240402824430687/500000000000000000000000000
-1482103218353233213931104749/1000000000000000000000000000 292053017146048940819831129/500000000000000000000000000 -693534890555240402824430687/500000000000000000000000000 42348551544085219421891653/40000000000000000000000000


--- 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 :
324947852446184580022208929/250000000000000000000000000 131533779491139133692576443/125000000000000000000000000 117249953150335490832727461/500000000000000000000000000 -305433350742627984403240369/500000000000000000000000000 -382382813763931991189567197/500000000000000000000000000 57139757029230572958046547/500000000000000000000000000 136403594313072641422084777/500000000000000000000000000 -280381831502221233250120261/500000000000000000000000000 -504307116776781828543472843/500000000000000000000000000 184683020103401901756079787/500000000000000000000000000
131533779491139133692576443/125000000000000000000000000 7299371100059365190671099929/1000000000000000000000000000 -955430236103879118304646061/1000000000000000000000000000 -361643228578130369603929277/250000000000000000000000000 -6131991350075520685606303457/1000000000000000000000000000 1119719683841161107351763507/500000000000000000000000000 -1112616176138111121939050613/1000000000000000000000000000 -15760358372368985811538329/10000000000000000000000000 -1024292363206397523086151407/500000000000000000000000000 -173504935155416465208596211/500000000000000000000000000
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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 :
4018612507643422735262581001/500000000000000000000000000 80837502338813089561765619/125000000000000000000000000 -4725117752918881505942747811/500000000000000000000000000 343670369630225274850284617/125000000000000000000000000 -335367488155616324525737347/500000000000000000000000000 -1773156817248481332580461367/500000000000000000000000000
80837502338813089561765619/125000000000000000000000000 1626108954757039542912161/31250000000000000000000000 -95049402418432872183081009/125000000000000000000000000 6913195600701390893919923/31250000000000000000000000 -6746176710637720183139793/125000000000000000000000000 -35668422394241209643828173/125000000000000000000000000
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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 :
5709983150418964365190977/31250000000000000000000000 -2661583648774044228001341/31250000000000000000000000 -97065523589605090225149/1250000000000000000000000 936522147118775312607429/6250000000000000000000000 36330200203066216077969/781250000000000000000000 -81248924686300269757179/31250000000000000000000000 -57567539714841143387043/390625000000000000000000 119642799448390103248407/625000000000000000000000 171267696738940908726741/3125000000000000000000000
-2661583648774044228001341/31250000000000000000000000 1571220369720553611167689/31250000000000000000000000 1821952145789099761232993/31250000000000000000000000 -2395977430431602794089013/31250000000000000000000000 -20823005437591210271949/781250000000000000000000 555892304963777110259599/31250000000000000000000000 14624686725893926427179/390625000000000000000000 -277250566142988878026631/3125000000000000000000000 844906887010025719944251/15625000000000000000000000
-97065523589605090225149/1250000000000000000000000 1821952145789099761232993/31250000000000000000000000 2474924722152335544132409/31250000000000000000000000 -2435724547090580048826989/31250000000000000000000000 -23565561305246840971461/781250000000000000000000 1117054185344292790326071/31250000000000000000000000 -209755545614289635009/78125000000000000000000 -250899367412066224802863/3125000000000000000000000 2235850530199265377962883/15625000000000000000000000
936522147118775312607429/6250000000000000000000000 -2395977430431602794089013/31250000000000000000000000 -2435724547090580048826989/31250000000000000000000000 3977691259400477197804369/31250000000000000000000000 32302191536142604444521/781250000000000000000000 -400840633864668138228931/31250000000000000000000000 -7866537593375302397717/78125000000000000000000 489551690252256003136523/3125000000000000000000000 -100374609086419479728543/15625000000000000000000000
36330200203066216077969/781250000000000000000000 -20823005437591210271949/781250000000000000000000 -23565561305246840971461/781250000000000000000000 32302191536142604444521/781250000000000000000000 276892036222047555937/19531250000000000000000 -6610183423614550336747/781250000000000000000000 -222667049156330235191/9765625000000000000000 3787434799090684561347/78125000000000000000000 -9184911450707127848647/390625000000000000000000
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119642799448390103248407/625000000000000000000000 -277250566142988878026631/3125000000000000000000000 -250899367412066224802863/3125000000000000000000000 489551690252256003136523/3125000000000000000000000 3787434799090684561347/78125000000000000000000 -6014683645255595144417/3125000000000000000000000 -30450013194175375801/195312500000000000000 62680370920902249597841/312500000000000000000000 95713332520051605512219/1562500000000000000000000
171267696738940908726741/3125000000000000000000000 844906887010025719944251/15625000000000000000000000 2235850530199265377962883/15625000000000000000000000 -100374609086419479728543/15625000000000000000000000 -9184911450707127848647/390625000000000000000000 1937268674498509374922317/15625000000000000000000000 -10916003628373031910337/39062500000000000000000 95713332520051605512219/1562500000000000000000000 4810211497585971618427121/7812500000000000000000000


--- 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 :
268527639945686155717086137/500000000000000000000000000 92588015475667379/1000000000000000000000000000 56941654798668536028400401/200000000000000000000000000 -284708274423613629478450959/1000000000000000000000000000 -284708274921818505609412837/1000000000000000000000000000 146033164911846717542313197/1000000000000000000000000000 -829319109236585397/1000000000000000000000000000
92588015475667379/1000000000000000000000000000 46710805154254811280558353/200000000000000000000000000 -80722461571617557627976951/200000000000000000000000000 403612308760607048632140651/1000000000000000000000000000 -403612307997830177134327823/1000000000000000000000000000 84614468003753123/500000000000000000000000000 -413451704311725981023528031/1000000000000000000000000000
56941654798668536028400401/200000000000000000000000000 -80722461571617557627976951/200000000000000000000000000 4263091362572401351920378393/1000000000000000000000000000 -17925527936096414229005829/40000000000000000000000000 146274293287818997346588121/1000000000000000000000000000 19354082782386253398323031/250000000000000000000000000 802932686213050267221292137/1000000000000000000000000000
-284708274423613629478450959/1000000000000000000000000000 403612308760607048632140651/1000000000000000000000000000 -17925527936096414229005829/40000000000000000000000000 4263091362540788088719687319/1000000000000000000000000000 -3961227454473577720895314863/1000000000000000000000000000 -38708166379716440776173801/500000000000000000000000000 -802932685042788135765878463/1000000000000000000000000000
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146033164911846717542313197/1000000000000000000000000000 84614468003753123/500000000000000000000000000 19354082782386253398323031/250000000000000000000000000 -38708166379716440776173801/500000000000000000000000000 -38708166693962035302062431/500000000000000000000000000 39708547802535462454455649/1000000000000000000000000000 -262378306467639783/500000000000000000000000000
-829319109236585397/1000000000000000000000000000 -413451704311725981023528031/1000000000000000000000000000 802932686213050267221292137/1000000000000000000000000000 -802932685042788135765878463/1000000000000000000000000000 802932684291533650663219599/1000000000000000000000000000 -262378306467639783/500000000000000000000000000 147421283570425513405030491/200000000000000000000000000


--- 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 :
356588687677944271709696311/100000000000000000000000000 -80931652762299928403207333/100000000000000000000000000 -329394231389790317616467593/200000000000000000000000000 347409954781679937168439327/200000000000000000000000000 -238329307561226113116072377/100000000000000000000000000 -289068273565772837964718151/100000000000000000000000000 9186682770625306432748341/8000000000000000000000000 168050266054457814798355391/200000000000000000000000000 -13363784779773473269277541/100000000000000000000000000 233659127310973389369857657/200000000000000000000000000 -102005532125199887146263561/200000000000000000000000000 -5450924915734712635098707/6250000000000000000000000
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-5450924915734712635098707/6250000000000000000000000 3361797221882808059909443/25000000000000000000000000 160664682445136406706301563/250000000000000000000000000 -155864971363289653981621189/250000000000000000000000000 -3732880194749441939463419/62500000000000000000000000 12304564134726034556228807/7812500000000000000000000 -3152852641990241006820167/50000000000000000000000000 -40236140451218528868204601/50000000000000000000000000 -11078569810292777164419339/7812500000000000000000000 -49472773562207029266946901/250000000000000000000000000 -66430995616558151694299193/250000000000000000000000000 2065475137209287746225483/1562500000000000000000000


--- 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 :
124471897455997399615497/800000000000000000000000 -3324052744880360426896671/20000000000000000000000000 -3676203109658554073330013/20000000000000000000000000 -7864735342468286778556887/20000000000000000000000000
-3324052744880360426896671/20000000000000000000000000 88769649025819293183029753/500000000000000000000000000 98173911438267747968609259/500000000000000000000000000 210029698568153852219837441/500000000000000000000000000
-3676203109658554073330013/20000000000000000000000000 98173911438267747968609259/500000000000000000000000000 108574462024576925964387777/500000000000000000000000000 232280258544659725128952323/500000000000000000000000000
-7864735342468286778556887/20000000000000000000000000 210029698568153852219837441/500000000000000000000000000 232280258544659725128952323/500000000000000000000000000 496931944248187088818837577/500000000000000000000000000


--- 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 :
756486256053952340704157/15625000000000000000000000 -9413893747612299411891/625000000000000000000000 828462196473148755628589/31250000000000000000000000 -535513032747357087055287/15625000000000000000000000 -746462464866227896447/50000000000000000000000 20116783216610011659599/244140625000000000000000
-9413893747612299411891/625000000000000000000000 117148718541971099133/25000000000000000000000 -10309579359965928451107/1250000000000000000000000 6664050735094524033081/625000000000000000000000 9289155321191026161/2000000000000000000000 -250338004463904904737/9765625000000000000000
828462196473148755628589/31250000000000000000000000 -10309579359965928451107/1250000000000000000000000 907286293032353401105853/62500000000000000000000000 -586464459597837769930599/31250000000000000000000000 -817484690936315679919/100000000000000000000000 22030796033944457898623/488281250000000000000000
-535513032747357087055287/15625000000000000000000000 6664050735094524033081/625000000000000000000000 -586464459597837769930599/31250000000000000000000000 379087136015091469938117/15625000000000000000000000 528417238507069243677/50000000000000000000000 -14240575427823302362509/244140625000000000000000
-746462464866227896447/50000000000000000000000 9289155321191026161/2000000000000000000000 -817484690936315679919/100000000000000000000000 528417238507069243677/50000000000000000000000 736571493526810037/160000000000000000000 -19850226576990590629/781250000000000000000
20116783216610011659599/244140625000000000000000 -250338004463904904737/9765625000000000000000 22030796033944457898623/488281250000000000000000 -14240575427823302362509/244140625000000000000000 -19850226576990590629/781250000000000000000 534953495513631980693/3814697265625000000000


--- 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 :
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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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