#Density : 572293794504820810704713171/4800000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 4, 7, 8, 9, 10, 12, 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 :
6277579785996256639992699/200000000000000000000000000 -12712870693191991775578839/200000000000000000000000000 4289279026430133263058111/100000000000000000000000000 -2078080457624526532312863/40000000000000000000000000 6220641879146459954366331/200000000000000000000000000 12234888457677473100768591/200000000000000000000000000
-12712870693191991775578839/200000000000000000000000000 25745125792323335794145379/200000000000000000000000000 -8686317257435369835518571/100000000000000000000000000 4208368359851475975380043/40000000000000000000000000 -12597564433136612611595991/200000000000000000000000000 -24777153012862346819041851/200000000000000000000000000
4289279026430133263058111/100000000000000000000000000 -8686317257435369835518571/100000000000000000000000000 2930733689377341612764979/50000000000000000000000000 -1419889069670922717337107/20000000000000000000000000 4250375089246496617658559/100000000000000000000000000 8359726557246722981805699/100000000000000000000000000
-2078080457624526532312863/40000000000000000000000000 4208368359851475975380043/40000000000000000000000000 -1419889069670922717337107/20000000000000000000000000 687911350484831052146931/8000000000000000000000000 -2059232182404424261481247/40000000000000000000000000 -4050140893761728774784867/40000000000000000000000000
6220641879146459954366331/200000000000000000000000000 -12597564433136612611595991/200000000000000000000000000 4250375089246496617658559/100000000000000000000000000 -2059232182404424261481247/40000000000000000000000000 6164220401453592196303739/200000000000000000000000000 12123917516157159621433679/200000000000000000000000000
12234888457677473100768591/200000000000000000000000000 -24777153012862346819041851/200000000000000000000000000 8359726557246722981805699/100000000000000000000000000 -4050140893761728774784867/40000000000000000000000000 12123917516157159621433679/200000000000000000000000000 23845574357451698194936019/200000000000000000000000000


--- Term 2 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}
F5 : {1, 2}
F6 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

Flags :
F1 : {1}
F2 : {1, 2}
F3 : {1, 3}
F4 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {0, 1}
F2 : {0, 1, 2}
F3 : {0, 1, 3}
F4 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {0, 1, 2}
F2 : {0, 1, 3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 7 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

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

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
265581819921668779332968009/250000000000000000000000000 1554922549626084068908148881/1000000000000000000000000000 60487127223340103427682181/200000000000000000000000000 86264201862457812054312241/100000000000000000000000000 -83956524876398256907570793/200000000000000000000000000 -55066797462289983904952299/50000000000000000000000000 2843088832005829217435067/125000000000000000000000000 1038307194976603511488121901/1000000000000000000000000000 -7045370324433811638681369/1000000000000000000000000000 -399327709415370103579127101/500000000000000000000000000 -449317165435389537372793579/1000000000000000000000000000 -2210347369738222567328950407/1000000000000000000000000000
1554922549626084068908148881/1000000000000000000000000000 1993706259992836787826533577/500000000000000000000000000 -32992317645210908752819809/200000000000000000000000000 4055663890374124512103769797/1000000000000000000000000000 -1498306897274832087290204621/1000000000000000000000000000 -707321741662138856723881417/250000000000000000000000000 37800398594699884483815143/50000000000000000000000000 1969479026354327895156694421/500000000000000000000000000 -54199145261401467651935837/250000000000000000000000000 -2103384467328891936757141863/1000000000000000000000000000 -69501503860265728497387071/50000000000000000000000000 -3363116607041598594114492573/500000000000000000000000000
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2843088832005829217435067/125000000000000000000000000 37800398594699884483815143/50000000000000000000000000 -1463794662373463745341423/4000000000000000000000000 635651783606116111310359933/500000000000000000000000000 -5493238511511679695805497/10000000000000000000000000 9552107097051538048748193/500000000000000000000000000 260595895567283038169000441/500000000000000000000000000 632125352622269522451110719/1000000000000000000000000000 -252966877926289567783932587/1000000000000000000000000000 -9624466627486660071692881/31250000000000000000000000 -631753320805316281156318937/1000000000000000000000000000 -1265277261580174356955715181/1000000000000000000000000000
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-2210347369738222567328950407/1000000000000000000000000000 -3363116607041598594114492573/500000000000000000000000000 -7783543712769653936011923/200000000000000000000000000 -7942097884373699576079417411/1000000000000000000000000000 479561560333948744686054903/250000000000000000000000000 362491600156531931917606137/62500000000000000000000000 -1265277261580174356955715181/1000000000000000000000000000 -7183965404614482406239332859/1000000000000000000000000000 49011757360651610348546751/200000000000000000000000000 4829886534859938901961566713/1000000000000000000000000000 697137151171719755283725301/1000000000000000000000000000 13811897132951651023692525531/1000000000000000000000000000


--- 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 :
160929745886440421349983961/200000000000000000000000000 21567251638376339620362327/125000000000000000000000000 498606670197652723255992963/1000000000000000000000000000 20621356579408292649775569/500000000000000000000000000
21567251638376339620362327/125000000000000000000000000 144518448305161678303233/3906250000000000000000000 13364310576220475143770261/125000000000000000000000000 552720672021218306482197/62500000000000000000000000
498606670197652723255992963/1000000000000000000000000000 13364310576220475143770261/125000000000000000000000000 548894672891016905337090861/1000000000000000000000000000 12778179558349603730448279/500000000000000000000000000
20621356579408292649775569/500000000000000000000000000 552720672021218306482197/62500000000000000000000000 12778179558349603730448279/500000000000000000000000000 21139179451643462810457/10000000000000000000000000


--- 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 :
130764123561238945870693673/200000000000000000000000000 15797710256244480878532557/500000000000000000000000000 -37611487642340711107370759/500000000000000000000000000 169226802283367511949686933/1000000000000000000000000000 -199151935597904176854294719/1000000000000000000000000000 2477375310914536005184723/12500000000000000000000000 -139090620699820638015867473/1000000000000000000000000000 26244568766281449884991131/250000000000000000000000000 -32689389182048963971056263/500000000000000000000000000 -48916703504408649779652497/50000000000000000000000000
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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 :
449716781818624056055081389/125000000000000000000000000 120238981885540743389784819/250000000000000000000000000 10843125085329052701672969/7812500000000000000000000 -180858905133258542893814859/125000000000000000000000000 54630012203954006262818553/62500000000000000000000000 418558764893285737684594527/250000000000000000000000000
120238981885540743389784819/250000000000000000000000000 135632867948394197177629557/500000000000000000000000000 -58721263850880652701532803/250000000000000000000000000 8017300528000746616064631/31250000000000000000000000 11528902305986233363262097/125000000000000000000000000 -26951014323107678937407949/125000000000000000000000000
10843125085329052701672969/7812500000000000000000000 -58721263850880652701532803/250000000000000000000000000 238040437973822114455406147/125000000000000000000000000 -505819335877919847174383209/250000000000000000000000000 26084768323050203814039977/62500000000000000000000000 1038317838433418071408616723/500000000000000000000000000
-180858905133258542893814859/125000000000000000000000000 8017300528000746616064631/31250000000000000000000000 -505819335877919847174383209/250000000000000000000000000 268744914156992866084380047/125000000000000000000000000 -27332027645120710803491417/62500000000000000000000000 -275578582955569874760111647/125000000000000000000000000
54630012203954006262818553/62500000000000000000000000 11528902305986233363262097/125000000000000000000000000 26084768323050203814039977/62500000000000000000000000 -27332027645120710803491417/62500000000000000000000000 6782938744378716120302853/31250000000000000000000000 12263489315081102103871579/25000000000000000000000000
418558764893285737684594527/250000000000000000000000000 -26951014323107678937407949/125000000000000000000000000 1038317838433418071408616723/500000000000000000000000000 -275578582955569874760111647/125000000000000000000000000 12263489315081102103871579/25000000000000000000000000 1137264349279305161962192869/500000000000000000000000000


--- 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 :
14683736066694518502541899/62500000000000000000000000 2430806562627014766298413/125000000000000000000000000 -3682998403056110723782563/25000000000000000000000000 24564685936604959099550343/62500000000000000000000000 5483644663456278758475069/125000000000000000000000000 19689895835346912301698303/250000000000000000000000000 -2055524769552413228796963/10000000000000000000000000 118726551570630025398921/1562500000000000000000000 893390879800435535847489/25000000000000000000000000
2430806562627014766298413/125000000000000000000000000 402405799046802670050331/250000000000000000000000000 -609698829210089267391381/50000000000000000000000000 4066539980857388432892241/125000000000000000000000000 907785278521748697240203/250000000000000000000000000 3259547011510536755492761/500000000000000000000000000 -340280094709927445564181/20000000000000000000000000 19654485711614245328927/3125000000000000000000000 147895631176302360296743/50000000000000000000000000
-3682998403056110723782563/25000000000000000000000000 -609698829210089267391381/50000000000000000000000000 923775609647510165759931/10000000000000000000000000 -6161354212930715545273791/25000000000000000000000000 -1375416613776214010018853/50000000000000000000000000 -4938651484100698928440311/100000000000000000000000000 515570043571889478172731/4000000000000000000000000 -29779185477652344141777/625000000000000000000000 -224081743819479854232393/10000000000000000000000000
24564685936604959099550343/62500000000000000000000000 4066539980857388432892241/125000000000000000000000000 -6161354212930715545273791/25000000000000000000000000 41094704537268030734699251/62500000000000000000000000 9173687700045043077584033/125000000000000000000000000 32939580575602379652416971/250000000000000000000000000 -3438724325309529640854591/10000000000000000000000000 198619781670128644354397/1562500000000000000000000 1494569657289213492729973/25000000000000000000000000
5483644663456278758475069/125000000000000000000000000 907785278521748697240203/250000000000000000000000000 -1375416613776214010018853/50000000000000000000000000 9173687700045043077584033/125000000000000000000000000 2047868380259011000249339/250000000000000000000000000 7353196198235396204818793/500000000000000000000000000 -767636205251930496185253/20000000000000000000000000 44338458412335925606351/3125000000000000000000000 333637032710640320790359/50000000000000000000000000
19689895835346912301698303/250000000000000000000000000 3259547011510536755492761/500000000000000000000000000 -4938651484100698928440311/100000000000000000000000000 32939580575602379652416971/250000000000000000000000000 7353196198235396204818793/500000000000000000000000000 26402817119967868290933091/1000000000000000000000000000 -2756319537182572507797111/40000000000000000000000000 159204266727323116799237/6250000000000000000000000 1197976678661413676621533/100000000000000000000000000
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118726551570630025398921/1562500000000000000000000 19654485711614245328927/3125000000000000000000000 -29779185477652344141777/625000000000000000000000 198619781670128644354397/1562500000000000000000000 44338458412335925606351/3125000000000000000000000 159204266727323116799237/6250000000000000000000000 -16620114012435356119377/250000000000000000000000 959973264558046827859/39062500000000000000000 7223585188509477689531/625000000000000000000000
893390879800435535847489/25000000000000000000000000 147895631176302360296743/50000000000000000000000000 -224081743819479854232393/10000000000000000000000000 1494569657289213492729973/25000000000000000000000000 333637032710640320790359/50000000000000000000000000 1197976678661413676621533/100000000000000000000000000 -125062659392747466350793/4000000000000000000000000 7223585188509477689531/625000000000000000000000 54355871045717357514979/10000000000000000000000000


--- 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 :
21752310044021283926061581/100000000000000000000000000 -36461673929743947/100000000000000000000000000 -5432393491013480108863379/50000000000000000000000000 5432393491013480108863379/50000000000000000000000000 10864786998991954773472879/100000000000000000000000000 4892894275784207314036889/25000000000000000000000000 19444208630323241/100000000000000000000000000
-36461673929743947/100000000000000000000000000 15934352353262442035028189/100000000000000000000000000 4287522042233943153878133/50000000000000000000000000 -4287522042233943153878133/50000000000000000000000000 8575044018668320557481767/100000000000000000000000000 -7189154751903183/25000000000000000000000000 -26811051642560703575433807/100000000000000000000000000
-5432393491013480108863379/50000000000000000000000000 4287522042233943153878133/50000000000000000000000000 12551700618920126764036561/125000000000000000000000000 -12551700618920126764036561/125000000000000000000000000 -2030175883400966127826421/250000000000000000000000000 -6109725117992065783278379/62500000000000000000000000 -36070802307397844178141139/250000000000000000000000000
5432393491013480108863379/50000000000000000000000000 -4287522042233943153878133/50000000000000000000000000 -12551700618920126764036561/125000000000000000000000000 12551700618920126764036561/125000000000000000000000000 2030175883400966127826421/250000000000000000000000000 6109725117992065783278379/62500000000000000000000000 36070802307397844178141139/250000000000000000000000000
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4892894275784207314036889/25000000000000000000000000 -7189154751903183/25000000000000000000000000 -6109725117992065783278379/62500000000000000000000000 6109725117992065783278379/62500000000000000000000000 12219450260512687188316319/125000000000000000000000000 5502959075507934054419101/31250000000000000000000000 13351157456949721/125000000000000000000000000
19444208630323241/100000000000000000000000000 -26811051642560703575433807/100000000000000000000000000 -36070802307397844178141139/250000000000000000000000000 36070802307397844178141139/250000000000000000000000000 -72141604270536780378960721/500000000000000000000000000 13351157456949721/125000000000000000000000000 225560623439107429619933161/500000000000000000000000000


--- 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 :
976035971724155597512787139/500000000000000000000000000 118930303514657842156602483/1000000000000000000000000000 810768086710026931947267971/500000000000000000000000000 -745778460549193893392442343/1000000000000000000000000000 3761047902420544321489271/25000000000000000000000000 -32534678643740752798446573/62500000000000000000000000 74648201530259633597889783/125000000000000000000000000 113118923003589669765102541/1000000000000000000000000000 275653214915786704385309993/1000000000000000000000000000 -77835368040639521251432151/100000000000000000000000000 273059243223838923050081651/1000000000000000000000000000 -83041010651505114284029363/62500000000000000000000000
118930303514657842156602483/1000000000000000000000000000 3071501119902271814303960493/1000000000000000000000000000 2304292922228306029142254829/1000000000000000000000000000 891795867490475670108652537/1000000000000000000000000000 -158263518306216693732744161/62500000000000000000000000 248057036729373765948551799/500000000000000000000000000 -255041603070629852623787631/200000000000000000000000000 1597261472504326776345695681/1000000000000000000000000000 -537920172146620003715984821/125000000000000000000000000 27389371385683311613965379/31250000000000000000000000 -1217384422724478437742138217/500000000000000000000000000 265475886677161135296611593/1000000000000000000000000000
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-83041010651505114284029363/62500000000000000000000000 265475886677161135296611593/1000000000000000000000000000 -269286024384910670005181269/250000000000000000000000000 721172940750626055129839271/1000000000000000000000000000 -37149217610670946552750817/100000000000000000000000000 122431323666102889334687059/250000000000000000000000000 -75619315954350198009850849/125000000000000000000000000 7662887460781125188622811/1000000000000000000000000000 -136795086262203378958394523/200000000000000000000000000 71892430780773914963957973/100000000000000000000000000 -452160844325004836322528031/1000000000000000000000000000 270026066674950420259341081/250000000000000000000000000


--- 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 :
6386700584910755577543251587/1000000000000000000000000000 297531373215839713423590473/500000000000000000000000000 -4363891302280923570392228799/1000000000000000000000000000 -81969667837514513860369063/1000000000000000000000000000
297531373215839713423590473/500000000000000000000000000 20624295978081631475016203/125000000000000000000000000 -197766987910935706213828749/500000000000000000000000000 103560503446548329703348373/500000000000000000000000000
-4363891302280923570392228799/1000000000000000000000000000 -197766987910935706213828749/500000000000000000000000000 2982866879579891797168478379/1000000000000000000000000000 77688030734438566173175251/1000000000000000000000000000
-81969667837514513860369063/1000000000000000000000000000 103560503446548329703348373/500000000000000000000000000 77688030734438566173175251/1000000000000000000000000000 422053145128501462943165287/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 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 :
47105671188964158911035183/250000000000000000000000000 47105671188964158911035183/250000000000000000000000000 -47105671188964158911035183/250000000000000000000000000 0/1 0/1 0/1 -5316522485483133736187849/250000000000000000000000000 -5276296445012593639614891/250000000000000000000000000 -5276296445012593639614891/250000000000000000000000000 5276296445012593639614891/250000000000000000000000000
47105671188964158911035183/250000000000000000000000000 47105671188964158911035183/250000000000000000000000000 -47105671188964158911035183/250000000000000000000000000 0/1 0/1 0/1 -5316522485483133736187849/250000000000000000000000000 -5276296445012593639614891/250000000000000000000000000 -5276296445012593639614891/250000000000000000000000000 5276296445012593639614891/250000000000000000000000000
-47105671188964158911035183/250000000000000000000000000 -47105671188964158911035183/250000000000000000000000000 47105671188964158911035183/250000000000000000000000000 0/1 0/1 0/1 5316522485483133736187849/250000000000000000000000000 5276296445012593639614891/250000000000000000000000000 5276296445012593639614891/250000000000000000000000000 -5276296445012593639614891/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-5316522485483133736187849/250000000000000000000000000 -5316522485483133736187849/250000000000000000000000000 5316522485483133736187849/250000000000000000000000000 0/1 0/1 0/1 600042640837473794440447/250000000000000000000000000 595502579242646453161773/250000000000000000000000000 595502579242646453161773/250000000000000000000000000 -595502579242646453161773/250000000000000000000000000
-5276296445012593639614891/250000000000000000000000000 -5276296445012593639614891/250000000000000000000000000 5276296445012593639614891/250000000000000000000000000 0/1 0/1 0/1 595502579242646453161773/250000000000000000000000000 590996868805356946173207/250000000000000000000000000 590996868805356946173207/250000000000000000000000000 -590996868805356946173207/250000000000000000000000000
-5276296445012593639614891/250000000000000000000000000 -5276296445012593639614891/250000000000000000000000000 5276296445012593639614891/250000000000000000000000000 0/1 0/1 0/1 595502579242646453161773/250000000000000000000000000 590996868805356946173207/250000000000000000000000000 590996868805356946173207/250000000000000000000000000 -590996868805356946173207/250000000000000000000000000
5276296445012593639614891/250000000000000000000000000 5276296445012593639614891/250000000000000000000000000 -5276296445012593639614891/250000000000000000000000000 0/1 0/1 0/1 -595502579242646453161773/250000000000000000000000000 -590996868805356946173207/250000000000000000000000000 -590996868805356946173207/250000000000000000000000000 590996868805356946173207/250000000000000000000000000


--- 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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35477259666098334877375977/1000000000000000000000000000 164946219978994998131901/15625000000000000000000000 -3744239342767975250228901/500000000000000000000000000 -41495319281819519330758863/1000000000000000000000000000 -49967063624239261512579/40000000000000000000000000 828067815079658576978619/20000000000000000000000000
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139143727898008306430402217/1000000000000000000000000000 828067815079658576978619/20000000000000000000000000 -587404353250409982707009/20000000000000000000000000 -32549376527566828778142799/200000000000000000000000000 -4899338031051972973649003/1000000000000000000000000000 40596583497063900492783541/250000000000000000000000000


--- 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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