#Density : 7054770405654143575778111/50000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 11, 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 :
30291732621141709944303407/500000000000000000000000000 -2267492466291525895230743/500000000000000000000000000 -6275122623082489542138179/125000000000000000000000000 1753202639554885932154071/500000000000000000000000000 29959354165358580639744573/500000000000000000000000000 -9627528095441562192710857/250000000000000000000000000
-2267492466291525895230743/500000000000000000000000000 169733509436180949052607/500000000000000000000000000 469725302637996592239371/125000000000000000000000000 -131236262606469806730879/500000000000000000000000000 -2242612224085774815452277/500000000000000000000000000 720670147807509225525793/250000000000000000000000000
-6275122623082489542138179/125000000000000000000000000 469725302637996592239371/125000000000000000000000000 1299931054694405258520263/31250000000000000000000000 -363186935653869049302987/125000000000000000000000000 -6206268338865869977693881/125000000000000000000000000 1994402899024089921855829/62500000000000000000000000
1753202639554885932154071/500000000000000000000000000 -131236262606469806730879/500000000000000000000000000 -363186935653869049302987/125000000000000000000000000 101470573961060181811263/500000000000000000000000000 1733965483552675188178869/500000000000000000000000000 -557214995933791280973921/250000000000000000000000000
29959354165358580639744573/500000000000000000000000000 -2242612224085774815452277/500000000000000000000000000 -6206268338865869977693881/125000000000000000000000000 1733965483552675188178869/500000000000000000000000000 29630622758730760225864647/500000000000000000000000000 -9521889274401059113230123/250000000000000000000000000
-9627528095441562192710857/250000000000000000000000000 720670147807509225525793/250000000000000000000000000 1994402899024089921855829/62500000000000000000000000 -557214995933791280973921/250000000000000000000000000 -9521889274401059113230123/250000000000000000000000000 3059887606555241333975807/125000000000000000000000000


--- 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 :
36357432197559061280262957/1000000000000000000000000000 -95418016539048049744958421/1000000000000000000000000000 11285779141786526511043401/100000000000000000000000000 -32775212623768477141544547/500000000000000000000000000 316830532302149412271323/4000000000000000000000000 37918031715049150350487893/500000000000000000000000000
-95418016539048049744958421/1000000000000000000000000000 250419166864520894349716413/1000000000000000000000000000 -29618886585706902000358353/100000000000000000000000000 86016684655070839494661691/500000000000000000000000000 -831503743361489089826419/4000000000000000000000000 -99513721366648528350221629/500000000000000000000000000
11285779141786526511043401/100000000000000000000000000 -29618886585706902000358353/100000000000000000000000000 3503240001799000013837493/10000000000000000000000000 -10173815603561199632939271/50000000000000000000000000 98347963450971697380639/400000000000000000000000 11770207783156700761805649/50000000000000000000000000
-32775212623768477141544547/500000000000000000000000000 86016684655070839494661691/500000000000000000000000000 -10173815603561199632939271/50000000000000000000000000 29545941437672608133639437/250000000000000000000000000 -285613901594564748173333/2000000000000000000000000 -34182049628327951078895803/250000000000000000000000000
316830532302149412271323/4000000000000000000000000 -831503743361489089826419/4000000000000000000000000 98347963450971697380639/400000000000000000000000 -285613901594564748173333/2000000000000000000000000 2760964681262685205597/16000000000000000000000 330430105923029551811827/2000000000000000000000000
37918031715049150350487893/500000000000000000000000000 -99513721366648528350221629/500000000000000000000000000 11770207783156700761805649/50000000000000000000000000 -34182049628327951078895803/250000000000000000000000000 330430105923029551811827/2000000000000000000000000 39545618109961067073453757/250000000000000000000000000


--- 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 :
353855209640126555776206887/500000000000000000000000000 51644098766638524098616723/31250000000000000000000000 -47584558888168124307088221/100000000000000000000000000 296536918790964633430824881/500000000000000000000000000 -126512424217771606745915013/125000000000000000000000000 -105543496268781266567956017/125000000000000000000000000 16619022801827593152426979/50000000000000000000000000 3823435339531764916613469/10000000000000000000000000 -72621811860620457542571637/250000000000000000000000000 31938691340482503552096219/62500000000000000000000000 -693907331061709552229826527/500000000000000000000000000 -142875784520105877551154149/500000000000000000000000000
51644098766638524098616723/31250000000000000000000000 424388155535949075635411347/62500000000000000000000000 -43718133804493312393627203/62500000000000000000000000 -80203450901914037348630563/125000000000000000000000000 -594982191809959144418177/244140625000000000000000 -704899876272917405318643091/125000000000000000000000000 -8991200326550851673632597/25000000000000000000000000 16349581008950930498242763/125000000000000000000000000 -12215615082266869277925603/31250000000000000000000000 118425766046768010384319031/125000000000000000000000000 -361274290680281576628901803/125000000000000000000000000 -28700613020680338934916707/15625000000000000000000000
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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 :
83069200242983268120257703/62500000000000000000000000 -491341080461559187443507/488281250000000000000000 11146405460991672527245863/7812500000000000000000000 -13155919104873393683362017/6250000000000000000000000
-491341080461559187443507/488281250000000000000000 2906204184498868279983/3814697265625000000000 -65929211867293494266547/61035156250000000000000 77815164808925315197173/48828125000000000000000
11146405460991672527245863/7812500000000000000000000 -65929211867293494266547/61035156250000000000000 1495648860677691991949223/976562500000000000000000 -1765289759934965022652257/781250000000000000000000
-13155919104873393683362017/6250000000000000000000000 77815164808925315197173/48828125000000000000000 -1765289759934965022652257/781250000000000000000000 2083542480097398253791063/625000000000000000000000


--- 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 :
265588551756055990838748067/100000000000000000000000000 36938765931349717316658153/20000000000000000000000000 -82453590325393490962327589/250000000000000000000000000 374029347465118897548371017/500000000000000000000000000 -550439554481758062441017241/250000000000000000000000000 1803525506162991637393279/50000000000000000000000000 -593236958775139021831779219/250000000000000000000000000 -79133206209911215436744639/250000000000000000000000000 -282301639318296825913196713/500000000000000000000000000 -532532705139162866183164881/250000000000000000000000000
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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 :
5846641748431575969550725461/1000000000000000000000000000 -1338413612883412151160538661/1000000000000000000000000000 -4513546068985299569862255943/1000000000000000000000000000 -1990447681534898014871527941/500000000000000000000000000 -53532621632766021378850917/62500000000000000000000000 4425210567014035184027741583/1000000000000000000000000000
-1338413612883412151160538661/1000000000000000000000000000 81382726937765334712655641/200000000000000000000000000 783337928982700382788625827/1000000000000000000000000000 577934432479510024777023651/500000000000000000000000000 84774360877098282740234829/250000000000000000000000000 -534218253381468446832045639/1000000000000000000000000000
-4513546068985299569862255943/1000000000000000000000000000 783337928982700382788625827/1000000000000000000000000000 4105672148742646892690369983/1000000000000000000000000000 308153249795305525615234417/125000000000000000000000000 30567101099772026886898607/100000000000000000000000000 -921304068055289703519948189/200000000000000000000000000
-1990447681534898014871527941/500000000000000000000000000 577934432479510024777023651/500000000000000000000000000 308153249795305525615234417/125000000000000000000000000 1652761937757596036637705067/500000000000000000000000000 465574569870434765728742767/500000000000000000000000000 -924099866798399621117798013/500000000000000000000000000
-53532621632766021378850917/62500000000000000000000000 84774360877098282740234829/250000000000000000000000000 30567101099772026886898607/100000000000000000000000000 465574569870434765728742767/500000000000000000000000000 164483393138802256492450369/500000000000000000000000000 8234756478388325220639507/250000000000000000000000000
4425210567014035184027741583/1000000000000000000000000000 -534218253381468446832045639/1000000000000000000000000000 -921304068055289703519948189/200000000000000000000000000 -924099866798399621117798013/500000000000000000000000000 8234756478388325220639507/250000000000000000000000000 5629915046150536645071285093/1000000000000000000000000000


--- 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 :
284169235273116450668025181/500000000000000000000000000 2696020995794002489922939/250000000000000000000000000 442182585839373567529390833/500000000000000000000000000 -514174462235164119636132109/500000000000000000000000000 -72132589203004392744225789/500000000000000000000000000 -7053284700146064376401853/100000000000000000000000000 98317869942070473771962291/500000000000000000000000000 -2692899098748026048573329/25000000000000000000000000 -433783639847237813543187127/500000000000000000000000000
2696020995794002489922939/250000000000000000000000000 25578170707945445231341/125000000000000000000000000 4195153406566581711264327/250000000000000000000000000 -4878167562209135998570571/250000000000000000000000000 -684349151256210420310491/250000000000000000000000000 -66917179203548238663707/50000000000000000000000000 932778811790828892023029/250000000000000000000000000 -25548552090101151043751/12500000000000000000000000 -4115469429813873499336913/250000000000000000000000000
442182585839373567529390833/500000000000000000000000000 4195153406566581711264327/250000000000000000000000000 688059842338930572337904469/500000000000000000000000000 -800083066927348252670647137/500000000000000000000000000 -112242181270673353224079377/500000000000000000000000000 -10975289652218493005509329/100000000000000000000000000 152987883869344391739732063/500000000000000000000000000 -4190295567162582159060597/25000000000000000000000000 -674990631473938751020685811/500000000000000000000000000
-514174462235164119636132109/500000000000000000000000000 -4878167562209135998570571/250000000000000000000000000 -800083066927348252670647137/500000000000000000000000000 930344825542876718505056701/500000000000000000000000000 130516363699394212227874221/500000000000000000000000000 12762179777144250733847917/100000000000000000000000000 -177895886079943169613744899/500000000000000000000000000 4872518816548031203745281/25000000000000000000000000 784886054011090678030351303/500000000000000000000000000
-72132589203004392744225789/500000000000000000000000000 -684349151256210420310491/250000000000000000000000000 -112242181270673353224079377/500000000000000000000000000 130516363699394212227874221/500000000000000000000000000 18309900507451662937962141/500000000000000000000000000 1790382717954985893425757/100000000000000000000000000 -24956686521782349640559379/500000000000000000000000000 683556699121358243764401/25000000000000000000000000 110110220291833842712627863/500000000000000000000000000
-7053284700146064376401853/100000000000000000000000000 -66917179203548238663707/50000000000000000000000000 -10975289652218493005509329/100000000000000000000000000 12762179777144250733847917/100000000000000000000000000 1790382717954985893425757/100000000000000000000000000 175067596650639245442589/20000000000000000000000000 -2440320209704842620179283/100000000000000000000000000 66839691474629752273777/5000000000000000000000000 10766821774945472180424151/100000000000000000000000000
98317869942070473771962291/500000000000000000000000000 932778811790828892023029/250000000000000000000000000 152987883869344391739732063/500000000000000000000000000 -177895886079943169613744899/500000000000000000000000000 -24956686521782349640559379/500000000000000000000000000 -2440320209704842620179283/100000000000000000000000000 34016361907211583678013501/500000000000000000000000000 -931698686887639263184319/25000000000000000000000000 -150081987040253695511973497/500000000000000000000000000
-2692899098748026048573329/25000000000000000000000000 -25548552090101151043751/12500000000000000000000000 -4190295567162582159060597/25000000000000000000000000 4872518816548031203745281/25000000000000000000000000 683556699121358243764401/25000000000000000000000000 66839691474629752273777/5000000000000000000000000 -931698686887639263184319/25000000000000000000000000 25518967769569710970261/1250000000000000000000000 4110703861639224173913043/25000000000000000000000000
-433783639847237813543187127/500000000000000000000000000 -4115469429813873499336913/250000000000000000000000000 -674990631473938751020685811/500000000000000000000000000 784886054011090678030351303/500000000000000000000000000 110110220291833842712627863/500000000000000000000000000 10766821774945472180424151/100000000000000000000000000 -150081987040253695511973497/500000000000000000000000000 4110703861639224173913043/25000000000000000000000000 662169661041135216022037509/500000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 1600460956101531289685700893/500000000000000000000000000 -565942175086960975765003651/250000000000000000000000000 565942175086960975765003651/250000000000000000000000000 -565942175086960975765003651/250000000000000000000000000 0/1 -189480437881934096532634153/500000000000000000000000000
0/1 -565942175086960975765003651/250000000000000000000000000 200124829694762380895972357/125000000000000000000000000 -200124829694762380895972357/125000000000000000000000000 200124829694762380895972357/125000000000000000000000000 0/1 67163096523982650483536771/250000000000000000000000000
0/1 565942175086960975765003651/250000000000000000000000000 -200124829694762380895972357/125000000000000000000000000 200124829694762380895972357/125000000000000000000000000 -200124829694762380895972357/125000000000000000000000000 0/1 -67163096523982650483536771/250000000000000000000000000
0/1 -565942175086960975765003651/250000000000000000000000000 200124829694762380895972357/125000000000000000000000000 -200124829694762380895972357/125000000000000000000000000 200124829694762380895972357/125000000000000000000000000 0/1 67163096523982650483536771/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 -189480437881934096532634153/500000000000000000000000000 67163096523982650483536771/250000000000000000000000000 -67163096523982650483536771/250000000000000000000000000 67163096523982650483536771/250000000000000000000000000 0/1 10252885061315666070201187/100000000000000000000000000


--- 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 :
168124424240672528695446677/500000000000000000000000000 263859005092248443299438479/500000000000000000000000000 -14545324134323975875605741/62500000000000000000000000 87475932543268920605148069/500000000000000000000000000 -267206873868966612450324587/500000000000000000000000000 -10063252462940713507240397/250000000000000000000000000 48759446962226775480429/500000000000000000000000000 64656286301442046170340347/500000000000000000000000000 -11781611348146617679784991/50000000000000000000000000 -56198016817709964855658257/500000000000000000000000000 -97039459724941827923326289/500000000000000000000000000 -92144058739793168578032259/250000000000000000000000000
263859005092248443299438479/500000000000000000000000000 637715812283329320902709903/100000000000000000000000000 -1751307112480694936159453289/500000000000000000000000000 150532211885128674812234451/125000000000000000000000000 -510073824839549490033067437/250000000000000000000000000 1277372240155483015636929723/500000000000000000000000000 -82768034796680648503342767/50000000000000000000000000 11257489477145769120362577/62500000000000000000000000 -53109986834349596730187233/125000000000000000000000000 -305795541349102291995253227/500000000000000000000000000 -1438625953404913132159169043/500000000000000000000000000 -365334641804359568396155119/250000000000000000000000000
-14545324134323975875605741/62500000000000000000000000 -1751307112480694936159453289/500000000000000000000000000 1937485821092916091715115213/1000000000000000000000000000 -129585660915022006322631513/200000000000000000000000000 1035760359608335900097393661/1000000000000000000000000000 -1453746186847014084630528261/1000000000000000000000000000 965035702725674041031015277/1000000000000000000000000000 -118567624918820786829062127/1000000000000000000000000000 135004029542056986031895943/500000000000000000000000000 3614279662644704119255533/12500000000000000000000000 12648553775227395157037079/7812500000000000000000000 36011173771554664101733329/50000000000000000000000000
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-92144058739793168578032259/250000000000000000000000000 -365334641804359568396155119/250000000000000000000000000 36011173771554664101733329/50000000000000000000000000 -20228977456568180813151839/62500000000000000000000000 119682210739517188360678697/125000000000000000000000000 -3531858962529946556290711/10000000000000000000000000 -15725565075490044939097537/125000000000000000000000000 2647371422770283674031683/6250000000000000000000000 -46693125024422664365646571/62500000000000000000000000 164225364803776181677498863/250000000000000000000000000 54789171802010803869333303/250000000000000000000000000 125032632123864923444807491/125000000000000000000000000


--- 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 :
55354405271994982176997427/250000000000000000000000000 -43260974586738142074164399/250000000000000000000000000 115869458503606872094422853/250000000000000000000000000 14302231124959263054834823/31250000000000000000000000
-43260974586738142074164399/250000000000000000000000000 694318422107940085541998351/500000000000000000000000000 -491691536118352897953346861/250000000000000000000000000 -24238887019693877573310091/500000000000000000000000000
115869458503606872094422853/250000000000000000000000000 -491691536118352897953346861/250000000000000000000000000 756058573201379321545266467/250000000000000000000000000 35136287700029274005234869/62500000000000000000000000
14302231124959263054834823/31250000000000000000000000 -24238887019693877573310091/500000000000000000000000000 35136287700029274005234869/62500000000000000000000000 511143975533490901440804481/500000000000000000000000000


--- 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 :
7463539102522778249725611/100000000000000000000000000 -10532368730876730063300387/100000000000000000000000000 -95488702516037578444137/6250000000000000000000000 -7647088036323853729267047/50000000000000000000000000 4973995701640415519838909/100000000000000000000000000 9329364105963322752605547/100000000000000000000000000
-10532368730876730063300387/100000000000000000000000000 14863028056710224456511579/100000000000000000000000000 134751384124450620205329/6250000000000000000000000 10791388617340346305844799/50000000000000000000000000 -7019184340812916503096453/100000000000000000000000000 -13165376564503898080099299/100000000000000000000000000
-95488702516037578444137/6250000000000000000000000 134751384124450620205329/6250000000000000000000000 1221684804346276086579/390625000000000000000000 97837032081423315663549/3125000000000000000000000 -63637423124030815202703/6250000000000000000000000 -119360113418178718043049/6250000000000000000000000
-7647088036323853729267047/50000000000000000000000000 10791388617340346305844799/50000000000000000000000000 97837032081423315663549/3125000000000000000000000 7835150942737214958977619/25000000000000000000000000 -5096319922794242358600993/50000000000000000000000000 -9558798803252277638542119/50000000000000000000000000
4973995701640415519838909/100000000000000000000000000 -7019184340812916503096453/100000000000000000000000000 -63637423124030815202703/6250000000000000000000000 -5096319922794242358600993/50000000000000000000000000 3314866164709267380322971/100000000000000000000000000 6217454792514543895082493/100000000000000000000000000
9329364105963322752605547/100000000000000000000000000 -13165376564503898080099299/100000000000000000000000000 -119360113418178718043049/6250000000000000000000000 -9558798803252277638542119/50000000000000000000000000 6217454792514543895082493/100000000000000000000000000 11661630417695154952856619/100000000000000000000000000


--- 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 :
633516523631736665025216763/200000000000000000000000000 -633516523631736665025216763/200000000000000000000000000 -1752065445478832913/500000000000000000000000000 -33378494078526094795945409/50000000000000000000000000 133513976777308089385545237/200000000000000000000000000 -667569884624236913478591473/1000000000000000000000000000 0/1 455129897266990474389483987/1000000000000000000000000000 -455129897266990474389483987/1000000000000000000000000000 -622245594529136801/500000000000000000000000000
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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 :
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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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