#Density : 2286011396819049130653673381/9600000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {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 :
49324600871788349551447173/250000000000000000000000000 -3474897050887973820896727/15625000000000000000000000 1093812827758906176744933/7812500000000000000000000 -1428698759609794569860691/125000000000000000000000000 -122606529240015977122478793/250000000000000000000000000 13431240743714429585333169/62500000000000000000000000
-3474897050887973820896727/15625000000000000000000000 62959854133706175364626363/250000000000000000000000000 -76693589179458394989645633/500000000000000000000000000 -1430066883186230948636787/250000000000000000000000000 35478806185935056603978553/62500000000000000000000000 -120032888679733392567459393/500000000000000000000000000
1093812827758906176744933/7812500000000000000000000 -76693589179458394989645633/500000000000000000000000000 116276522741480122560079347/1000000000000000000000000000 -39598139806815963521563191/500000000000000000000000000 -36406704284154859928487303/125000000000000000000000000 160782029462094590737590387/1000000000000000000000000000
-1428698759609794569860691/125000000000000000000000000 -1430066883186230948636787/250000000000000000000000000 -39598139806815963521563191/500000000000000000000000000 74813865521514853281857919/250000000000000000000000000 -26253907171522898761949499/125000000000000000000000000 -23622053494750143062451111/500000000000000000000000000
-122606529240015977122478793/250000000000000000000000000 35478806185935056603978553/62500000000000000000000000 -36406704284154859928487303/125000000000000000000000000 -26253907171522898761949499/125000000000000000000000000 352365938899688757739356813/250000000000000000000000000 -63299089642956354168763713/125000000000000000000000000
13431240743714429585333169/62500000000000000000000000 -120032888679733392567459393/500000000000000000000000000 160782029462094590737590387/1000000000000000000000000000 -23622053494750143062451111/500000000000000000000000000 -63299089642956354168763713/125000000000000000000000000 238126184760475830559474227/1000000000000000000000000000


--- 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 :
34322634320109727370225603/250000000000000000000000000 -21834098746465091240280981/500000000000000000000000000 -13905032784228889212140639/62500000000000000000000000 -27767795417334226626225411/250000000000000000000000000 10856560278731158394201763/125000000000000000000000000 -44194002177754804722902597/500000000000000000000000000
-21834098746465091240280981/500000000000000000000000000 13234201989057515881896499/200000000000000000000000000 1599961225442897781404249/20000000000000000000000000 -3165603014562318867671359/62500000000000000000000000 -9397636625403231747367787/125000000000000000000000000 94952950572304830812279077/1000000000000000000000000000
-13905032784228889212140639/62500000000000000000000000 1599961225442897781404249/20000000000000000000000000 72432468666760858620360479/200000000000000000000000000 164807307000119298289171477/1000000000000000000000000000 -74571995528458706920650391/500000000000000000000000000 155037947949414180141369039/1000000000000000000000000000
-27767795417334226626225411/250000000000000000000000000 -3165603014562318867671359/62500000000000000000000000 164807307000119298289171477/1000000000000000000000000000 231252686026227500823837671/1000000000000000000000000000 3970594085849712475386907/500000000000000000000000000 -7682217343205774721952537/200000000000000000000000000
10856560278731158394201763/125000000000000000000000000 -9397636625403231747367787/125000000000000000000000000 -74571995528458706920650391/500000000000000000000000000 3970594085849712475386907/500000000000000000000000000 24550446833039478523567919/250000000000000000000000000 -11671364839595783930229929/100000000000000000000000000
-44194002177754804722902597/500000000000000000000000000 94952950572304830812279077/1000000000000000000000000000 155037947949414180141369039/1000000000000000000000000000 -7682217343205774721952537/200000000000000000000000000 -11671364839595783930229929/100000000000000000000000000 71177592017033511142009643/500000000000000000000000000


--- 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 :
1488402118145219498416423687/1000000000000000000000000000 13970288402647509317317317/20000000000000000000000000 637897909019752698240711/3125000000000000000000000 197012187950998816768914469/250000000000000000000000000 8467932427271019774095447/31250000000000000000000000 -1160774258235145042803723909/1000000000000000000000000000 -1212341536995234409310122233/1000000000000000000000000000 -817571270254115289686711413/1000000000000000000000000000 -529065376964418375083109389/500000000000000000000000000 1786051931038297317373369/62500000000000000000000000 -997038279600923952201787277/1000000000000000000000000000 884550046668369105116900771/1000000000000000000000000000
13970288402647509317317317/20000000000000000000000000 731485480154995298028946971/1000000000000000000000000000 639075254027395565246980287/1000000000000000000000000000 16772202608752052311280811/20000000000000000000000000 712502744496635547353636769/1000000000000000000000000000 -53658004821051453032658831/500000000000000000000000000 -961840010726621355458944359/500000000000000000000000000 -87008196986586973732809303/250000000000000000000000000 -1668286560420804594772602543/1000000000000000000000000000 1650394117950364850031849/5000000000000000000000000 -1034931794973320208895104933/1000000000000000000000000000 -1222414757368032407557929/1600000000000000000000000
637897909019752698240711/3125000000000000000000000 639075254027395565246980287/1000000000000000000000000000 1077025747507705728150323861/1000000000000000000000000000 275961233702872908059191699/250000000000000000000000000 789151217309813142403744213/1000000000000000000000000000 252835057930193063255662781/250000000000000000000000000 -1127539306688284716209671479/500000000000000000000000000 -188868482840245182290545933/250000000000000000000000000 -2417188948877386305321038359/1000000000000000000000000000 169894516246988237764824601/250000000000000000000000000 -297561311880133113569217437/200000000000000000000000000 -1480792679626908426601975287/1000000000000000000000000000
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--- 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 :
101686965658749632835490317/100000000000000000000000000 290683114022538435010234989/500000000000000000000000000 -133345969336447734132891963/500000000000000000000000000 -6709877379879611564363643/100000000000000000000000000
290683114022538435010234989/500000000000000000000000000 262176995028597053869767131/500000000000000000000000000 -39313650266991822033576419/250000000000000000000000000 -162646545631409594588807/50000000000000000000000000
-133345969336447734132891963/500000000000000000000000000 -39313650266991822033576419/250000000000000000000000000 70063720202913659875684411/1000000000000000000000000000 3344690063452114497485959/200000000000000000000000000
-6709877379879611564363643/100000000000000000000000000 -162646545631409594588807/50000000000000000000000000 3344690063452114497485959/200000000000000000000000000 240853971223553104757738671/100000000000000000000000000


--- 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 :
54011425745157285148034657/6250000000000000000000000 278440556839439365877328883/50000000000000000000000000 5224841400034317582202631503/1000000000000000000000000000 -6965934735012726091829074357/1000000000000000000000000000 809350177150229617111491127/1000000000000000000000000000 -1617309388668117098819770161/250000000000000000000000000 286493949313498999742075099/250000000000000000000000000 -121955741910300563275628407/200000000000000000000000000 -371469488426985655849480897/200000000000000000000000000 -237008268618839941854905709/500000000000000000000000000
278440556839439365877328883/50000000000000000000000000 3641024221710855329862004969/1000000000000000000000000000 893343523321207163430207803/250000000000000000000000000 -1143392539189781076577220827/250000000000000000000000000 17486102531394404205610303/40000000000000000000000000 -4266358489553412115075812651/1000000000000000000000000000 811438359143987057507204097/1000000000000000000000000000 -641405421059270013059047433/1000000000000000000000000000 -967463919903907269053791819/1000000000000000000000000000 -52259906650276615813792361/200000000000000000000000000
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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 :
6019220527085712809149853/125000000000000000000000000 -258242820749063285779986599/500000000000000000000000000 -12574665440373461365639349/500000000000000000000000000 -281493658397997435393562887/1000000000000000000000000000 -6451581404505655896936673/62500000000000000000000000 -45795317400659807284485511/500000000000000000000000000
-258242820749063285779986599/500000000000000000000000000 2769850106352615485695269001/500000000000000000000000000 5394912953954170688915999/20000000000000000000000000 603846594758904380717034787/200000000000000000000000000 553584828574801466273815179/500000000000000000000000000 245594754420256483851583323/250000000000000000000000000
-12574665440373461365639349/500000000000000000000000000 5394912953954170688915999/20000000000000000000000000 844999008271416213514501583/500000000000000000000000000 147016070099388369501703029/1000000000000000000000000000 2215875385013582499650557/100000000000000000000000000 21500447363494645080226861/125000000000000000000000000
-281493658397997435393562887/1000000000000000000000000000 603846594758904380717034787/200000000000000000000000000 147016070099388369501703029/1000000000000000000000000000 1645534487433312087285181291/1000000000000000000000000000 60342672146237461735431259/100000000000000000000000000 267706826378098393741835641/500000000000000000000000000
-6451581404505655896936673/62500000000000000000000000 553584828574801466273815179/500000000000000000000000000 2215875385013582499650557/100000000000000000000000000 60342672146237461735431259/100000000000000000000000000 425532888910851096680608717/500000000000000000000000000 123412785161762000405345789/500000000000000000000000000
-45795317400659807284485511/500000000000000000000000000 245594754420256483851583323/250000000000000000000000000 21500447363494645080226861/125000000000000000000000000 267706826378098393741835641/500000000000000000000000000 123412785161762000405345789/500000000000000000000000000 382057487886849541854345433/500000000000000000000000000


--- 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 :
87558976737022700940590911/125000000000000000000000000 211501918219859514011942317/500000000000000000000000000 -30712551590610421415018397/125000000000000000000000000 -131893280054082161852337349/250000000000000000000000000 -609043369449956205147844847/500000000000000000000000000 6125156958808822219720131/31250000000000000000000000 5339717283362817954927257/12500000000000000000000000 -226876794627075754641887/976562500000000000000000 -278847538901890443753913917/250000000000000000000000000
211501918219859514011942317/500000000000000000000000000 51160731424131055978043051/200000000000000000000000000 -37012639046554777431620897/250000000000000000000000000 -318255469472590521991634809/1000000000000000000000000000 -73586360972219013523527863/100000000000000000000000000 23603061561052194945752503/200000000000000000000000000 128646431436995947370056739/500000000000000000000000000 -139979371111116042956378387/1000000000000000000000000000 -673416622112290740809882649/1000000000000000000000000000
-30712551590610421415018397/125000000000000000000000000 -37012639046554777431620897/250000000000000000000000000 10809488916385319430842383/125000000000000000000000000 23169876362040358024257363/125000000000000000000000000 106751925278445971296845973/250000000000000000000000000 -3453357296235270551330293/50000000000000000000000000 -18805862760746448263272227/125000000000000000000000000 10222002591690703782887127/125000000000000000000000000 24460899126464399444756703/62500000000000000000000000
-131893280054082161852337349/250000000000000000000000000 -318255469472590521991634809/1000000000000000000000000000 23169876362040358024257363/125000000000000000000000000 397669347109449105048648539/1000000000000000000000000000 458580079690507951086121531/500000000000000000000000000 -29590712713013758669599189/200000000000000000000000000 -6447405235352767623987697/20000000000000000000000000 175275227600186966219201929/1000000000000000000000000000 168043517641230684000362001/200000000000000000000000000
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6125156958808822219720131/31250000000000000000000000 23603061561052194945752503/200000000000000000000000000 -3453357296235270551330293/50000000000000000000000000 -29590712713013758669599189/200000000000000000000000000 -170285131853163191535799139/500000000000000000000000000 303400324329270524691514721/1000000000000000000000000000 60093733288321984140172677/500000000000000000000000000 -65315853806590085829174399/1000000000000000000000000000 -379186965120892808380924971/1000000000000000000000000000
5339717283362817954927257/12500000000000000000000000 128646431436995947370056739/500000000000000000000000000 -18805862760746448263272227/125000000000000000000000000 -6447405235352767623987697/20000000000000000000000000 -185578646058410403651694631/250000000000000000000000000 60093733288321984140172677/500000000000000000000000000 65443514684232038244643361/250000000000000000000000000 -14227320173441162091005083/100000000000000000000000000 -340246737902059993291807539/500000000000000000000000000
-226876794627075754641887/976562500000000000000000 -139979371111116042956378387/1000000000000000000000000000 10222002591690703782887127/125000000000000000000000000 175275227600186966219201929/1000000000000000000000000000 201874601381271815032091549/500000000000000000000000000 -65315853806590085829174399/1000000000000000000000000000 -14227320173441162091005083/100000000000000000000000000 77331827828169900906540779/1000000000000000000000000000 370067815858760863697006451/1000000000000000000000000000
-278847538901890443753913917/250000000000000000000000000 -673416622112290740809882649/1000000000000000000000000000 24460899126464399444756703/62500000000000000000000000 168043517641230684000362001/200000000000000000000000000 484873134697013627789217801/250000000000000000000000000 -379186965120892808380924971/1000000000000000000000000000 -340246737902059993291807539/500000000000000000000000000 370067815858760863697006451/1000000000000000000000000000 2218274080239760370599706883/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 3676414417925321391315333/1953125000000000000000000 5160569200929726132591171/3906250000000000000000000 -5160569200929726132591171/3906250000000000000000000 5160569200929726132591171/3906250000000000000000000 0/1 13300584030477145527330393/7812500000000000000000000
0/1 5160569200929726132591171/3906250000000000000000000 7243871732124578549588277/7812500000000000000000000 -7243871732124578549588277/7812500000000000000000000 7243871732124578549588277/7812500000000000000000000 0/1 18669980176171849407605391/15625000000000000000000000
0/1 -5160569200929726132591171/3906250000000000000000000 -7243871732124578549588277/7812500000000000000000000 7243871732124578549588277/7812500000000000000000000 -7243871732124578549588277/7812500000000000000000000 0/1 -18669980176171849407605391/15625000000000000000000000
0/1 5160569200929726132591171/3906250000000000000000000 7243871732124578549588277/7812500000000000000000000 -7243871732124578549588277/7812500000000000000000000 7243871732124578549588277/7812500000000000000000000 0/1 18669980176171849407605391/15625000000000000000000000
0/1 0/1 0/1 0/1 0/1 55254331/100000000 0/1
0/1 13300584030477145527330393/7812500000000000000000000 18669980176171849407605391/15625000000000000000000000 -18669980176171849407605391/15625000000000000000000000 18669980176171849407605391/15625000000000000000000000 0/1 48119040848396850206134653/31250000000000000000000000


--- 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 :
1080061282623195358578293919/31250000000000000000000000 -29230892023714502822808277661/1000000000000000000000000000 55210761990266928455529377/500000000000000000000000000 354664549409563975249468197/1000000000000000000000000000 -82486732660035063131041307/500000000000000000000000000 635215010113453747597656093/1000000000000000000000000000 -1838227698371613468338665951/1000000000000000000000000000 1286730026306304775789260321/500000000000000000000000000 -403375255088513847562387869/1000000000000000000000000000 111292212763965317937056177/200000000000000000000000000 -290667731919069570332391949/250000000000000000000000000 -356953787657804773610594157/500000000000000000000000000
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55210761990266928455529377/500000000000000000000000000 58182363837631420314773713/100000000000000000000000000 221685904249102123096738379/250000000000000000000000000 -37464402139475840835205103/1000000000000000000000000000 11183600024484980529339227/50000000000000000000000000 -115554015795218917416822681/1000000000000000000000000000 -638809996363175664512719737/1000000000000000000000000000 -263001979015118872071916099/500000000000000000000000000 20118987665813713169513/800000000000000000000000 -173565951348223372711447549/1000000000000000000000000000 92698058138475606979372427/1000000000000000000000000000 156827019403482431079476243/1000000000000000000000000000
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-403375255088513847562387869/1000000000000000000000000000 463462966755677685133311179/1000000000000000000000000000 20118987665813713169513/800000000000000000000000 7692189362011854829349193/1000000000000000000000000000 48491349419185619203477721/1000000000000000000000000000 -14356262130258955997378813/500000000000000000000000000 -2912347801549485532683827/31250000000000000000000000 -2536077582862049045610279/20000000000000000000000000 8015602582943201446127499/250000000000000000000000000 -19752712440019067973975191/500000000000000000000000000 31033657303283610159016067/1000000000000000000000000000 52400076467082606840237499/1000000000000000000000000000
111292212763965317937056177/200000000000000000000000000 -940213810705481725746022929/1000000000000000000000000000 -173565951348223372711447549/1000000000000000000000000000 -144477716495763870461140897/1000000000000000000000000000 -38010398198870253955003683/200000000000000000000000000 46001021862788638661437823/500000000000000000000000000 410587544914692147421354613/1000000000000000000000000000 41296754432076027272665231/100000000000000000000000000 -19752712440019067973975191/500000000000000000000000000 1160195645558180943648459/5000000000000000000000000 -21442700910943618524539427/250000000000000000000000000 -209711328506841492941610367/1000000000000000000000000000
-290667731919069570332391949/250000000000000000000000000 351248355364393387832097019/250000000000000000000000000 92698058138475606979372427/1000000000000000000000000000 27120515511335762564705241/500000000000000000000000000 86375077482467255943547463/500000000000000000000000000 -18959581047234218496796443/200000000000000000000000000 -66684326619626290347460077/200000000000000000000000000 -210093971543682739422839549/500000000000000000000000000 31033657303283610159016067/1000000000000000000000000000 -21442700910943618524539427/250000000000000000000000000 49660384472405908412672599/500000000000000000000000000 34574681022300645431736677/200000000000000000000000000
-356953787657804773610594157/500000000000000000000000000 1646292458167893673052669663/1000000000000000000000000000 156827019403482431079476243/1000000000000000000000000000 5036431559862603951579561/40000000000000000000000000 23684832016082319738464729/200000000000000000000000000 -24333154107302281435633433/125000000000000000000000000 -187852033415278110157363217/200000000000000000000000000 -877981165371083100695631741/1000000000000000000000000000 52400076467082606840237499/1000000000000000000000000000 -209711328506841492941610367/1000000000000000000000000000 34574681022300645431736677/200000000000000000000000000 880165699667905638270467029/1000000000000000000000000000


--- 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 :
343214975494370143683226341/200000000000000000000000000 -33360930757875903851853093/200000000000000000000000000 44616752917748809915927749/100000000000000000000000000 142129707697088979007224291/500000000000000000000000000
-33360930757875903851853093/200000000000000000000000000 1251303744361228236793528217/1000000000000000000000000000 357678512255413710453670343/500000000000000000000000000 89835993853036909205645393/100000000000000000000000000
44616752917748809915927749/100000000000000000000000000 357678512255413710453670343/500000000000000000000000000 1408351285799282197060822469/250000000000000000000000000 1013961922071037023099901441/250000000000000000000000000
142129707697088979007224291/500000000000000000000000000 89835993853036909205645393/100000000000000000000000000 1013961922071037023099901441/250000000000000000000000000 424360191958722830983638331/125000000000000000000000000


--- 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 7428432270026370699362261/1000000000000000000000000000 0/1 -357966609503307949148707/1000000000000000000000000000 -281382725636859491850523/40000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 -357966609503307949148707/1000000000000000000000000000 0/1 96355202925587000926957583/1000000000000000000000000000 -18983261096873296632113197/1000000000000000000000000000 0/1
0/1 -281382725636859491850523/40000000000000000000000000 0/1 -18983261096873296632113197/1000000000000000000000000000 1375650543493444074768709/40000000000000000000000000 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 :
462945524738688734439745027/250000000000000000000000000 -459303085751855873242193383/250000000000000000000000000 -7284877882010373496914897/1000000000000000000000000000 0/1 0/1 0/1 242673040003289455471719/31250000000000000000000000 -889187637868829186184787513/1000000000000000000000000000 875693348303043825202191639/1000000000000000000000000000 6747144530619838457687189/1000000000000000000000000000
-459303085751855873242193383/250000000000000000000000000 462945524738688734439745027/250000000000000000000000000 -7284877882010373496914897/1000000000000000000000000000 0/1 0/1 0/1 242673040003289455471719/31250000000000000000000000 875693348303043825202191639/1000000000000000000000000000 -889187637868829186184787513/1000000000000000000000000000 6747144530619838457687189/1000000000000000000000000000
-7284877882010373496914897/1000000000000000000000000000 -7284877882010373496914897/1000000000000000000000000000 370356419786069244410047971/200000000000000000000000000 0/1 0/1 0/1 -7765537496555361681552927/1000000000000000000000000000 3373571383724015532909869/500000000000000000000000000 3373571383724015532909869/500000000000000000000000000 -22229690965805291903882533/25000000000000000000000000
0/1 0/1 0/1 34334478977446267280804757/62500000000000000000000000 34334478977446267280804757/62500000000000000000000000 -34334478977446267280804757/62500000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 34334478977446267280804757/62500000000000000000000000 34334478977446267280804757/62500000000000000000000000 -34334478977446267280804757/62500000000000000000000000 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 :
1008356475170884348270527/10000000000000000000000000 6624611598101772407771439/50000000000000000000000000 -788214594492305261053251/4000000000000000000000000 -5335494184190555141686863/50000000000000000000000000 -24760413641726777368911123/100000000000000000000000000 31821590908575520796582799/100000000000000000000000000
6624611598101772407771439/50000000000000000000000000 43521790067612077582481823/250000000000000000000000000 -5178342851006052307083507/20000000000000000000000000 -35052659971468279577497791/250000000000000000000000000 -162668785715867995579612611/500000000000000000000000000 209058686480170076028281343/500000000000000000000000000
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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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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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