#Density : 9981407028742585042110246203/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 11, 12, 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 :
818055671301797939369911/10000000000000000000000000 965158277932885496683209/10000000000000000000000000 -2576516950566150525880049/20000000000000000000000000 -9204802626622825153107759/50000000000000000000000000 2569201220269954208153443/50000000000000000000000000 -2580733570725170440178849/100000000000000000000000000
965158277932885496683209/10000000000000000000000000 1138712845765128687334071/10000000000000000000000000 -3039825711514323302630031/20000000000000000000000000 -10860008387553686393245521/50000000000000000000000000 3031194468064519768569117/50000000000000000000000000 -3044800563464069581227231/100000000000000000000000000
-2576516950566150525880049/20000000000000000000000000 -3039825711514323302630031/20000000000000000000000000 8114899547106293932375591/40000000000000000000000000 28991095381527012561143481/100000000000000000000000000 -8091858201907959249352037/100000000000000000000000000 8128180053183007771244791/200000000000000000000000000
-9204802626622825153107759/50000000000000000000000000 -10860008387553686393245521/50000000000000000000000000 28991095381527012561143481/100000000000000000000000000 103572891634931745147834471/250000000000000000000000000 -28908778424615104598718267/250000000000000000000000000 29038540998832559327880681/500000000000000000000000000
2569201220269954208153443/50000000000000000000000000 3031194468064519768569117/50000000000000000000000000 -8091858201907959249352037/100000000000000000000000000 -28908778424615104598718267/250000000000000000000000000 8068882280019607268034559/250000000000000000000000000 -8105100999480316892916437/500000000000000000000000000
-2580733570725170440178849/100000000000000000000000000 -3044800563464069581227231/100000000000000000000000000 8128180053183007771244791/200000000000000000000000000 29038540998832559327880681/500000000000000000000000000 -8105100999480316892916437/500000000000000000000000000 8141482293581955645153991/1000000000000000000000000000


--- 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 :
1291784987542633123903587/7812500000000000000000000 1667223044409350783477913/7812500000000000000000000 -2925763522319248726243863/7812500000000000000000000 -1627692992418709498740759/3906250000000000000000000 -351626692784003939467641/7812500000000000000000000 -203198315385672921163857/3906250000000000000000000
1667223044409350783477913/7812500000000000000000000 2151776577847748905890587/7812500000000000000000000 -3776093091298552303899637/7812500000000000000000000 -2100757705310091561354741/3906250000000000000000000 -453821751214298506236859/7812500000000000000000000 -262254877756869957832643/3906250000000000000000000
-2925763522319248726243863/7812500000000000000000000 -3776093091298552303899637/7812500000000000000000000 6626561131367402609416187/7812500000000000000000000 3686561485601838273168891/3906250000000000000000000 796399215923882795962709/7812500000000000000000000 460223817961426199398093/3906250000000000000000000
-1627692992418709498740759/3906250000000000000000000 -2100757705310091561354741/3906250000000000000000000 3686561485601838273168891/3906250000000000000000000 2050948496164912085562363/1953125000000000000000000 443061584792570225476437/3906250000000000000000000 256036784150683596499149/1953125000000000000000000
-351626692784003939467641/7812500000000000000000000 -453821751214298506236859/7812500000000000000000000 796399215923882795962709/7812500000000000000000000 443061584792570225476437/3906250000000000000000000 95713553161365966364763/7812500000000000000000000 55311024905363417873251/3906250000000000000000000
-203198315385672921163857/3906250000000000000000000 -262254877756869957832643/3906250000000000000000000 460223817961426199398093/3906250000000000000000000 256036784150683596499149/1953125000000000000000000 55311024905363417873251/3906250000000000000000000 31963179456142046550827/1953125000000000000000000


--- 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 :
1652571024440765128823632817/1000000000000000000000000000 2317822921386015906540569523/1000000000000000000000000000 289696495532269191050962761/1000000000000000000000000000 385099799179954403415543601/200000000000000000000000000 -431167044335158906059646097/1000000000000000000000000000 -695475769936242910531780317/1000000000000000000000000000 -762148751855329170441006497/1000000000000000000000000000 -1843303286967988970103455407/500000000000000000000000000 -3000953944205428358096909929/1000000000000000000000000000 5635590744195679294122527/12500000000000000000000000 -1115458675405733274478880157/1000000000000000000000000000 -15574875839314439589559481/125000000000000000000000000
2317822921386015906540569523/1000000000000000000000000000 1738731135599635712847050399/500000000000000000000000000 509063659606110151474171849/1000000000000000000000000000 2835042620667141195263539513/1000000000000000000000000000 -32510043680278238290119747/100000000000000000000000000 -38420677524506585637494383/40000000000000000000000000 -1275054787652602525314238289/1000000000000000000000000000 -82798663845745424588156173/15625000000000000000000000 -88979931697154960900342041/20000000000000000000000000 73022285084095320108952677/125000000000000000000000000 -41712434010949338513007737/25000000000000000000000000 -513320741050452804162592889/1000000000000000000000000000
289696495532269191050962761/1000000000000000000000000000 509063659606110151474171849/1000000000000000000000000000 27603331442781959184069351/125000000000000000000000000 7561413990240923700132883/500000000000000000000000000 62690151225421409810750669/500000000000000000000000000 18821441279838752490234903/250000000000000000000000000 25010911839014247494943169/250000000000000000000000000 -453424286327031605088393253/1000000000000000000000000000 -41511892374785079842312993/100000000000000000000000000 4136752822192844756710109/20000000000000000000000000 -560291639739862167663202171/1000000000000000000000000000 -404307590399923033003108243/500000000000000000000000000
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-15574875839314439589559481/125000000000000000000000000 -513320741050452804162592889/1000000000000000000000000000 -404307590399923033003108243/500000000000000000000000000 162051127911392795799779457/100000000000000000000000000 -765730588102363438086210473/1000000000000000000000000000 -473356364662803297406749491/500000000000000000000000000 -20507820894558864565996621/15625000000000000000000000 -10225912388690054352866379/12500000000000000000000000 -542502793646117898654813843/1000000000000000000000000000 -72963445637490160194363227/100000000000000000000000000 1868600890013305423216942749/1000000000000000000000000000 3763560162000718372475944827/1000000000000000000000000000


--- 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 :
1452066840117567423046440459/1000000000000000000000000000 5089731203204021872299789/40000000000000000000000000 -1970003271848942776289931/250000000000000000000000000 967759514479223032729969449/1000000000000000000000000000
5089731203204021872299789/40000000000000000000000000 11150211462877295106880843/1000000000000000000000000000 -172629572656788919228849/250000000000000000000000000 84803875553396532256352471/1000000000000000000000000000
-1970003271848942776289931/250000000000000000000000000 -172629572656788919228849/250000000000000000000000000 5345363978949235316597/125000000000000000000000000 -1312948840107912483416819/250000000000000000000000000
967759514479223032729969449/1000000000000000000000000000 84803875553396532256352471/1000000000000000000000000000 -1312948840107912483416819/250000000000000000000000000 1957096051845704601863968651/1000000000000000000000000000


--- 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 :
1206628978757531231653232917/1000000000000000000000000000 659042676932493050801260181/1000000000000000000000000000 233231797838215038405003257/250000000000000000000000000 -415490591304587942655222617/1000000000000000000000000000 -8090217595165863596069613/31250000000000000000000000 385344976016732501706064873/1000000000000000000000000000 -366211052766298089322558847/500000000000000000000000000 -859169805886265242042270107/1000000000000000000000000000 -145076767084826367224842989/250000000000000000000000000 -189510636263870557249999609/1000000000000000000000000000
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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 :
5153663857576628632522597479/1000000000000000000000000000 -2793147656415755142371219757/500000000000000000000000000 -123160871680079298788801907/1000000000000000000000000000 2464317380516209465637679/8000000000000000000000000 307452426574316573225650863/500000000000000000000000000 -185080756290329165883536391/200000000000000000000000000
-2793147656415755142371219757/500000000000000000000000000 1513811153801045911686273999/250000000000000000000000000 13349978103213899830143693/100000000000000000000000000 -33389848980614848044967581/100000000000000000000000000 -166630973318697991887477393/250000000000000000000000000 501544042225402274743521849/500000000000000000000000000
-123160871680079298788801907/1000000000000000000000000000 13349978103213899830143693/100000000000000000000000000 1547593046162714594737177623/1000000000000000000000000000 -1472289914652489441325203/200000000000000000000000000 -7347415602805836118355361/500000000000000000000000000 22115051184560123866846107/1000000000000000000000000000
2464317380516209465637679/8000000000000000000000000 -33389848980614848044967581/100000000000000000000000000 -1472289914652489441325203/200000000000000000000000000 736473642798110111297127/40000000000000000000000000 3675348157287664994574963/100000000000000000000000000 -11062462966390734329770203/200000000000000000000000000
307452426574316573225650863/500000000000000000000000000 -166630973318697991887477393/250000000000000000000000000 -7347415602805836118355361/500000000000000000000000000 3675348157287664994574963/100000000000000000000000000 36683414836016989519988691/500000000000000000000000000 -13801716896517955256443473/125000000000000000000000000
-185080756290329165883536391/200000000000000000000000000 501544042225402274743521849/500000000000000000000000000 22115051184560123866846107/1000000000000000000000000000 -11062462966390734329770203/200000000000000000000000000 -13801716896517955256443473/125000000000000000000000000 166167639642623370355435017/1000000000000000000000000000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

Flags :
F1  : {1, 2}
F2  : {1, 2, 4}
F3  : {1, 2, 5}
F4  : {1, 2, 4, 5}
F5  : {1, 2, 6}
F6  : {1, 2, 4, 6}
F7  : {1, 2, 5, 6}
F8  : {1, 2, 4, 5, 6}
F9  : {1, 2, 7}
F10 : {1, 2, 4, 7}
F11 : {1, 2, 5, 7}
F12 : {1, 2, 4, 5, 7}
F13 : {1, 2, 6, 7}
F14 : {1, 2, 4, 6, 7}
F15 : {1, 2, 5, 6, 7}
F16 : {1, 2, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F9)
B3 : (F3)+(F5)
B4 : (F4)+(F6)+(F11)+(F13)
B5 : (F7)
B6 : (F8)+(F15)
B7 : (F10)
B8 : (F12)+(F14)
B9 : (F16)

Matrix :
531990164819015799676407/200000000000000000000000000 671985693710250275279619/200000000000000000000000000 -2623569454509396610833/5000000000000000000000000 -637804746075102287886837/25000000000000000000000000 -31948659546048547780653/50000000000000000000000000 -1785654163488845170405161/200000000000000000000000000 815036882729327169819543/100000000000000000000000000 -535778831037480652927647/100000000000000000000000000 -1857010568603438463694929/100000000000000000000000000
671985693710250275279619/200000000000000000000000000 580631010940178342795889/20000000000000000000000000 -574981562708052439048011/12500000000000000000000000 -13175894536065614068769673/200000000000000000000000000 7487252013602483917855191/100000000000000000000000000 -7651807028184731608103841/200000000000000000000000000 -445729337624297734580547/8000000000000000000000000 919924712009884480832181/12500000000000000000000000 -4525713882963727566342723/200000000000000000000000000
-2623569454509396610833/5000000000000000000000000 -574981562708052439048011/12500000000000000000000000 129721314073688768104821/1562500000000000000000000 1664611858176857783556111/25000000000000000000000000 -1728631088415866630234673/12500000000000000000000000 1277734826559218186909799/25000000000000000000000000 2978140718214743541532317/25000000000000000000000000 -228004694782197551881929/1562500000000000000000000 53705120448529193730597/25000000000000000000000000
-637804746075102287886837/25000000000000000000000000 -13175894536065614068769673/200000000000000000000000000 1664611858176857783556111/25000000000000000000000000 58076871788895923123276931/200000000000000000000000000 -9662088481924158647629371/100000000000000000000000000 9781217069013544777641/80000000000000000000000 2290168914316080459476643/200000000000000000000000000 -1154368564029576608128893/20000000000000000000000000 1415883632622259781418579/8000000000000000000000000
-31948659546048547780653/50000000000000000000000000 7487252013602483917855191/100000000000000000000000000 -1728631088415866630234673/12500000000000000000000000 -9662088481924158647629371/100000000000000000000000000 2312143731022909203692739/10000000000000000000000000 -4011645411272184141493539/50000000000000000000000000 -20350004097460118377984911/100000000000000000000000000 12332144876613376594974939/50000000000000000000000000 698995250841788478050841/100000000000000000000000000
-1785654163488845170405161/200000000000000000000000000 -7651807028184731608103841/200000000000000000000000000 1277734826559218186909799/25000000000000000000000000 9781217069013544777641/80000000000000000000000 -4011645411272184141493539/50000000000000000000000000 11867490602547240588798951/200000000000000000000000000 4449650456101207048419933/100000000000000000000000000 -6949037917199152882560483/100000000000000000000000000 6142992554683845948537189/100000000000000000000000000
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-1857010568603438463694929/100000000000000000000000000 -4525713882963727566342723/200000000000000000000000000 53705120448529193730597/25000000000000000000000000 1415883632622259781418579/8000000000000000000000000 698995250841788478050841/100000000000000000000000000 6142992554683845948537189/100000000000000000000000000 -11821341078886470062561577/200000000000000000000000000 4009021885284171535865601/100000000000000000000000000 25934498704803795526606959/200000000000000000000000000


--- 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 :
9435118039065533967369/500000000000000000000000000 58458577689457793/500000000000000000000000000 -331444194379366359703653/500000000000000000000000000 331444619628836964734231/500000000000000000000000000 331445330980246468609697/500000000000000000000000000 423340095686739334803/62500000000000000000000000 124462432888981901/500000000000000000000000000
58458577689457793/500000000000000000000000000 160748958542431890560466269/500000000000000000000000000 16116570730356219244582547/62500000000000000000000000 -5157302652480843159287681/20000000000000000000000000 32233141545145584900859117/125000000000000000000000000 264705320154460923/500000000000000000000000000 68375482058777290169584463/125000000000000000000000000
-331444194379366359703653/500000000000000000000000000 16116570730356219244582547/62500000000000000000000000 1927715138504312133612866151/1000000000000000000000000000 -573523497127397678282932907/1000000000000000000000000000 131737588502492251897828109/250000000000000000000000000 -929455874812550851851/3906250000000000000000000 12209416995590615510931107/25000000000000000000000000
331444619628836964734231/500000000000000000000000000 -5157302652480843159287681/20000000000000000000000000 -573523497127397678282932907/1000000000000000000000000000 240964392052645840210979329/125000000000000000000000000 -1881141995442882703710558739/1000000000000000000000000000 237941037158445339595927/1000000000000000000000000000 -488376680304144269602273303/1000000000000000000000000000
331445330980246468609697/500000000000000000000000000 32233141545145584900859117/125000000000000000000000000 131737588502492251897828109/250000000000000000000000000 -1881141995442882703710558739/1000000000000000000000000000 1927715137277201828745739539/1000000000000000000000000000 237945571078784035910259/1000000000000000000000000000 488376679784966651293788947/1000000000000000000000000000
423340095686739334803/62500000000000000000000000 264705320154460923/500000000000000000000000000 -929455874812550851851/3906250000000000000000000 237941037158445339595927/1000000000000000000000000000 237945571078784035910259/1000000000000000000000000000 2431316173460299039953/1000000000000000000000000000 998208928293710787/1000000000000000000000000000
124462432888981901/500000000000000000000000000 68375482058777290169584463/125000000000000000000000000 12209416995590615510931107/25000000000000000000000000 -488376680304144269602273303/1000000000000000000000000000 488376679784966651293788947/1000000000000000000000000000 998208928293710787/1000000000000000000000000000 186619861928205987611201447/200000000000000000000000000


--- 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 :
1946797054979757261959803053/1000000000000000000000000000 33367728359188734693226169/50000000000000000000000000 116497437681644243091499003/200000000000000000000000000 -752567451155144743101000357/1000000000000000000000000000 -129216421505838310281502497/40000000000000000000000000 500279746997904838991240011/1000000000000000000000000000 -273035955947831526535061797/250000000000000000000000000 -171676615987050907254365463/100000000000000000000000000 -67785314948540905095689469/100000000000000000000000000 -25745556480431724058548017/1000000000000000000000000000 55344109133492065599598751/500000000000000000000000000 719778935860660064189539543/500000000000000000000000000
33367728359188734693226169/50000000000000000000000000 11747136782619506244295101/10000000000000000000000000 -133685610785092165259434669/500000000000000000000000000 -147678106485963598677515163/500000000000000000000000000 -189339070192269022240926277/250000000000000000000000000 615980583518604972121519201/500000000000000000000000000 -667054361026693467334552627/500000000000000000000000000 -487817002544728620657590267/500000000000000000000000000 -35637985399556943328846649/250000000000000000000000000 4197895198442845414334723/20000000000000000000000000 9828500686472277798205403/62500000000000000000000000 89167898210567073561062637/125000000000000000000000000
116497437681644243091499003/200000000000000000000000000 -133685610785092165259434669/500000000000000000000000000 1155857762524855004933696969/1000000000000000000000000000 -168454976302374740650590117/500000000000000000000000000 -1363164028700510597295367251/1000000000000000000000000000 -167387155553859455253113489/500000000000000000000000000 285406165069282094978857659/1000000000000000000000000000 -30841282013815455527540379/200000000000000000000000000 -8281063402544385288900061/40000000000000000000000000 -262862567494133622633768931/500000000000000000000000000 -211277108418024289226602329/1000000000000000000000000000 234835467104284714658985393/1000000000000000000000000000
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55344109133492065599598751/500000000000000000000000000 9828500686472277798205403/62500000000000000000000000 -211277108418024289226602329/1000000000000000000000000000 1398421563281303352870321/62500000000000000000000000 -9702249428390827064757127/500000000000000000000000000 35300050653181624959271483/250000000000000000000000000 -128695013385040194887001403/500000000000000000000000000 -23677576422747850763262293/100000000000000000000000000 -9750444451644282294503671/200000000000000000000000000 123097369963151903789766887/500000000000000000000000000 120896120093009844160169507/1000000000000000000000000000 114405804208791730036453301/1000000000000000000000000000
719778935860660064189539543/500000000000000000000000000 89167898210567073561062637/125000000000000000000000000 234835467104284714658985393/1000000000000000000000000000 -70223322526692697307505033/125000000000000000000000000 -1150773987419171322441433911/500000000000000000000000000 153850001602844142265148911/250000000000000000000000000 -517127325145891743081756283/500000000000000000000000000 -681911226757625241089935761/500000000000000000000000000 -481406622096800443491875293/1000000000000000000000000000 4246701559282157411202033/100000000000000000000000000 114405804208791730036453301/1000000000000000000000000000 1334175833114592188820906619/1000000000000000000000000000


--- 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 :
4567115176373040831620863219/1000000000000000000000000000 607890708970846375708734769/200000000000000000000000000 1063340782482075531066529279/1000000000000000000000000000 1137583741573506298075233939/1000000000000000000000000000
607890708970846375708734769/200000000000000000000000000 1216671687194069803550118221/250000000000000000000000000 479838006478281543365082737/500000000000000000000000000 282868771582468994335696281/200000000000000000000000000
1063340782482075531066529279/1000000000000000000000000000 479838006478281543365082737/500000000000000000000000000 817978213762731236231573897/250000000000000000000000000 1968225322712519860799502159/1000000000000000000000000000
1137583741573506298075233939/1000000000000000000000000000 282868771582468994335696281/200000000000000000000000000 1968225322712519860799502159/1000000000000000000000000000 1336796477436124005426847419/1000000000000000000000000000


--- Term 16 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

Flags :
F1  : {0, 1, 2, 3}
F2  : {0, 1, 2, 3, 4}
F3  : {0, 1, 2, 3, 5}
F4  : {0, 1, 2, 3, 4, 5}
F5  : {0, 1, 2, 3, 6}
F6  : {0, 1, 2, 3, 4, 6}
F7  : {0, 1, 2, 3, 5, 6}
F8  : {0, 1, 2, 3, 4, 5, 6}
F9  : {0, 1, 2, 3, 7}
F10 : {0, 1, 2, 3, 4, 7}
F11 : {0, 1, 2, 3, 5, 7}
F12 : {0, 1, 2, 3, 4, 5, 7}
F13 : {0, 1, 2, 3, 6, 7}
F14 : {0, 1, 2, 3, 4, 6, 7}
F15 : {0, 1, 2, 3, 5, 6, 7}
F16 : {0, 1, 2, 3, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F7)+(F10)
B5 : (F8)+(F12)+(F14)+(F15)
B6 : (F16)

Matrix :
1516668707550891189072819927/1000000000000000000000000000 -387897989728565505144593909/1000000000000000000000000000 6158771287120946023735953/1000000000000000000000000000 -595983352222790116320010763/500000000000000000000000000 -32979480015893410780935123/250000000000000000000000000 133518165016826494801749241/250000000000000000000000000
-387897989728565505144593909/1000000000000000000000000000 396959737224747277678781/4000000000000000000000000 -197504313402197213978507/125000000000000000000000000 76239144766849901532833003/250000000000000000000000000 16906518294753490367709673/500000000000000000000000000 -137210008148793052910218417/1000000000000000000000000000
6158771287120946023735953/1000000000000000000000000000 -197504313402197213978507/125000000000000000000000000 12872443591728930270051/500000000000000000000000000 -1213947523159811314600061/250000000000000000000000000 -273422754256275125017029/500000000000000000000000000 2261659569295495573669211/1000000000000000000000000000
-595983352222790116320010763/500000000000000000000000000 76239144766849901532833003/250000000000000000000000000 -1213947523159811314600061/250000000000000000000000000 234277039228045978345583957/250000000000000000000000000 12988946176451873394114817/125000000000000000000000000 -210848427325592447563813081/500000000000000000000000000
-32979480015893410780935123/250000000000000000000000000 16906518294753490367709673/500000000000000000000000000 -273422754256275125017029/500000000000000000000000000 12988946176451873394114817/125000000000000000000000000 4315153141126451739931573/125000000000000000000000000 -23931480950221470897392619/500000000000000000000000000
133518165016826494801749241/250000000000000000000000000 -137210008148793052910218417/1000000000000000000000000000 2261659569295495573669211/1000000000000000000000000000 -210848427325592447563813081/500000000000000000000000000 -23931480950221470897392619/500000000000000000000000000 199804495000234160128554991/1000000000000000000000000000


--- 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 :
699085518849529775847661421/250000000000000000000000000 -699085518849529775847661421/250000000000000000000000000 -134767020437313791/250000000000000000000000000 38313804480223886027140521/500000000000000000000000000 -38313804480223886027140521/500000000000000000000000000 76627610251308986239026123/1000000000000000000000000000 0/1 56768501839967870616114601/200000000000000000000000000 -887007840770031492472483/3125000000000000000000000 -1079884825838433359/500000000000000000000000000
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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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-887007840770031492472483/3125000000000000000000000 887007840770031492472483/3125000000000000000000000 253795454906473659/250000000000000000000000000 -3889040176382405058026711/500000000000000000000000000 3889040176382405058026711/500000000000000000000000000 -7778080533354733648946431/1000000000000000000000000000 0/1 -186680416255659153556538973/1000000000000000000000000000 65458728106065124161603823/250000000000000000000000000 -18788623904972411351415413/500000000000000000000000000
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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 :
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 81618849/1000000000 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


--- 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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