#Density : 1647102947280380132703066603/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 9, 10, 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 :
15892092774389311388681047/500000000000000000000000000 -16553568623871430911050973/250000000000000000000000000 27310709659624432436548769/500000000000000000000000000 -28748356625181141398577017/500000000000000000000000000 48389863559394853875776793/500000000000000000000000000 7150162797080331398137713/125000000000000000000000000
-16553568623871430911050973/250000000000000000000000000 17242577052332274994410207/125000000000000000000000000 -28447462076598275613645771/250000000000000000000000000 29944948155939264541405203/250000000000000000000000000 -50403992633437122452185587/250000000000000000000000000 -7447773695611969726791867/62500000000000000000000000
27310709659624432436548769/500000000000000000000000000 -28447462076598275613645771/250000000000000000000000000 46933709279265465650900263/500000000000000000000000000 -49404318998624352188594959/500000000000000000000000000 83158431862996550095372911/500000000000000000000000000 12287621456930046632897751/125000000000000000000000000
-28748356625181141398577017/500000000000000000000000000 29944948155939264541405203/250000000000000000000000000 -49404318998624352188594959/500000000000000000000000000 52004982627617165814037687/500000000000000000000000000 -87535925846795701768019223/500000000000000000000000000 -12934446893604104680769343/125000000000000000000000000
48389863559394853875776793/500000000000000000000000000 -50403992633437122452185587/250000000000000000000000000 83158431862996550095372911/500000000000000000000000000 -87535925846795701768019223/500000000000000000000000000 147342387723182059952290167/500000000000000000000000000 21771544320189380695231647/125000000000000000000000000
7150162797080331398137713/125000000000000000000000000 -7447773695611969726791867/62500000000000000000000000 12287621456930046632897751/125000000000000000000000000 -12934446893604104680769343/125000000000000000000000000 21771544320189380695231647/125000000000000000000000000 3216997833484911322344327/31250000000000000000000000


--- 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 :
26715771792064228069096659/1000000000000000000000000000 11348266398087779081572233/200000000000000000000000000 -10828177471471627043595753/500000000000000000000000000 -10507179407358009828771627/200000000000000000000000000 52377955948760422874743443/1000000000000000000000000000 -38239852000492567240505943/500000000000000000000000000
11348266398087779081572233/200000000000000000000000000 4820491477630546917946571/40000000000000000000000000 -4599569254762600152504811/100000000000000000000000000 -4463216407718373868735249/40000000000000000000000000 22248992172870810833392841/200000000000000000000000000 -16243439676855743018480341/100000000000000000000000000
-10828177471471627043595753/500000000000000000000000000 -4599569254762600152504811/100000000000000000000000000 4388771856050738201168651/250000000000000000000000000 4258668034485173356317809/100000000000000000000000000 -21229325022703330004099881/500000000000000000000000000 15499005874392871615187381/250000000000000000000000000
-10507179407358009828771627/200000000000000000000000000 -4463216407718373868735249/40000000000000000000000000 4258668034485173356317809/100000000000000000000000000 4132421101575742986187331/40000000000000000000000000 -20599988068014463745862379/200000000000000000000000000 15039542507222040222524879/100000000000000000000000000
52377955948760422874743443/1000000000000000000000000000 22248992172870810833392841/200000000000000000000000000 -21229325022703330004099881/500000000000000000000000000 -20599988068014463745862379/200000000000000000000000000 102690286873359730768509011/1000000000000000000000000000 -74971642187925698373471511/500000000000000000000000000
-38239852000492567240505943/500000000000000000000000000 -16243439676855743018480341/100000000000000000000000000 15499005874392871615187381/250000000000000000000000000 15039542507222040222524879/100000000000000000000000000 -74971642187925698373471511/500000000000000000000000000 54734944301850168947184011/250000000000000000000000000


--- 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 :
797038294124618692726894859/1000000000000000000000000000 -16970638024316580457302231/500000000000000000000000000 349584529909142873664887431/1000000000000000000000000000 89642626017446362413851481/500000000000000000000000000 114399198656469977044714729/500000000000000000000000000 285980620785294625479875817/1000000000000000000000000000 -567599013173318285769982677/1000000000000000000000000000 -201734835962759815742405773/500000000000000000000000000 -257360516178052843140526943/1000000000000000000000000000 -395780851603021222246462091/1000000000000000000000000000 -58813269250990750074931943/1000000000000000000000000000 -8800122993085125416279981/20000000000000000000000000
-16970638024316580457302231/500000000000000000000000000 587908277258057773807211409/500000000000000000000000000 9664950735012348142237263/50000000000000000000000000 -340562780419041741690159/500000000000000000000000000 -10299564389886367446607551/125000000000000000000000000 41046112957868044917984207/250000000000000000000000000 -370973431028649416132967/125000000000000000000000000 2276813375865090404870487/5000000000000000000000000 39683034718986471300339/400000000000000000000000 -160198442879502086098380117/500000000000000000000000000 -278531816145108864386528481/250000000000000000000000000 -23803235649566990018292531/50000000000000000000000000
349584529909142873664887431/1000000000000000000000000000 9664950735012348142237263/50000000000000000000000000 168270342739513912529116957/500000000000000000000000000 51797341648461007080896061/500000000000000000000000000 6367172612448340276808591/31250000000000000000000000 8354633059697995687042599/62500000000000000000000000 -460226604089866066568138817/1000000000000000000000000000 -208166671520039501243383577/500000000000000000000000000 -43449167049696477078180989/200000000000000000000000000 -392202655568840144872508983/1000000000000000000000000000 -60760933828017201017148083/500000000000000000000000000 7772006045598657173898079/1000000000000000000000000000
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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 :
17059470681766826444032863/125000000000000000000000000 6660410033937386331013617/62500000000000000000000000 -5944720308634907797218273/250000000000000000000000000 -1858222002753243012778191/50000000000000000000000000
6660410033937386331013617/62500000000000000000000000 2600377388472372004640703/31250000000000000000000000 -2320955645763480990681807/125000000000000000000000000 -725492642960426583671169/25000000000000000000000000
-5944720308634907797218273/250000000000000000000000000 -2320955645763480990681807/125000000000000000000000000 2071558971971352410332383/500000000000000000000000000 647535335872176822696561/100000000000000000000000000
-1858222002753243012778191/50000000000000000000000000 -725492642960426583671169/25000000000000000000000000 647535335872176822696561/100000000000000000000000000 202408918537362968941887/20000000000000000000000000


--- 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 :
297041939873017949912325881/200000000000000000000000000 637896147559782266909765649/1000000000000000000000000000 28591297166623753114127143/20000000000000000000000000 -54310964916532731188890563/50000000000000000000000000 153692844678969472161603703/500000000000000000000000000 455071565695176467980925159/1000000000000000000000000000 -1042217418153868753970433023/500000000000000000000000000 374588409859772758514609/6250000000000000000000000 -133717045096747773665945751/1000000000000000000000000000 -135834421763384484529232729/250000000000000000000000000
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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 :
113944426713085619551993/40000000000000000000000000 -22790394238821162308202417/200000000000000000000000000 -486818088886017447022693/5000000000000000000000000 -40186530126165056159153/20000000000000000000000000 -16016818683718605313320183/200000000000000000000000000 124901001579505265707153/25000000000000000000000000
-22790394238821162308202417/200000000000000000000000000 4558380646986427931276172309/1000000000000000000000000000 973700644107736197616327227/250000000000000000000000000 40189184780237877897106767/500000000000000000000000000 3203575837656506427919302861/1000000000000000000000000000 -499637086066210674119919/2500000000000000000000000
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-16016818683718605313320183/200000000000000000000000000 3203575837656506427919302861/1000000000000000000000000000 1368610521210563694092093401/500000000000000000000000000 220660015905034771630741/3906250000000000000000000 562858772796949764086321311/250000000000000000000000000 -7022780326943514843484939/50000000000000000000000000
124901001579505265707153/25000000000000000000000000 -499637086066210674119919/2500000000000000000000000 -21345165759441688381184559/125000000000000000000000000 -440507527350450182021337/125000000000000000000000000 -7022780326943514843484939/50000000000000000000000000 547644519195145853758463/62500000000000000000000000


--- 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 :
6280332272045693349899427/1000000000000000000000000000 2867615361804054382724847/1000000000000000000000000000 26660642489224732946127/200000000000000000000000000 146664211997305927772433/125000000000000000000000000 -6709206202214599058437893/1000000000000000000000000000 -3649146388180698196033779/500000000000000000000000000 1530967012267114202515341/200000000000000000000000000 -64810755535510964203041/200000000000000000000000000 -2114592162160333551019059/250000000000000000000000000
2867615361804054382724847/1000000000000000000000000000 1309360318379468167968727/1000000000000000000000000000 12173315781071542165873/200000000000000000000000000 267868982078058258633447/500000000000000000000000000 -3063440266786197245710303/1000000000000000000000000000 -104138083254731578397059/31250000000000000000000000 699043351947110358076781/200000000000000000000000000 -29592752442574300109929/200000000000000000000000000 -965528049391923052201759/250000000000000000000000000
26660642489224732946127/200000000000000000000000000 12173315781071542165873/200000000000000000000000000 282942775616365178599/100000000000000000000000000 4980836882659368266163/200000000000000000000000000 -7120313870171582959789/50000000000000000000000000 -30981987268148623574423/200000000000000000000000000 6499109029394535798599/40000000000000000000000000 -1375640896007858274419/200000000000000000000000000 -1795331304262661211203/10000000000000000000000000
146664211997305927772433/125000000000000000000000000 267868982078058258633447/500000000000000000000000000 4980836882659368266163/200000000000000000000000000 20709583356595903235107083/1000000000000000000000000000 -1253437429341166427982771/1000000000000000000000000000 -1363492650912954125434281/1000000000000000000000000000 143010311156515553750991/100000000000000000000000000 -6054086683727748489717/100000000000000000000000000 -49381940297791061459991/31250000000000000000000000
-6709206202214599058437893/1000000000000000000000000000 -3063440266786197245710303/1000000000000000000000000000 -7120313870171582959789/50000000000000000000000000 -1253437429341166427982771/1000000000000000000000000000 3583683626437539422365151/500000000000000000000000000 7796681614871352451030547/1000000000000000000000000000 -1635514321401137585789009/200000000000000000000000000 69236579240325370575433/200000000000000000000000000 2258994307143446637162661/250000000000000000000000000
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-2114592162160333551019059/250000000000000000000000000 -965528049391923052201759/250000000000000000000000000 -1795331304262661211203/10000000000000000000000000 -49381940297791061459991/31250000000000000000000000 2258994307143446637162661/250000000000000000000000000 1228670079347427940020043/125000000000000000000000000 -515477637875289318819677/50000000000000000000000000 4364365124090486143613/10000000000000000000000000 711984624153239614144963/62500000000000000000000000


--- 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 :
11853467873612941702776291/1000000000000000000000000000 -44464393881010419/1000000000000000000000000000 -8547906426194212248846141/500000000000000000000000000 213697658805956228948559/12500000000000000000000000 3419162550862189647037107/200000000000000000000000000 203200061225856933415350321/1000000000000000000000000000 -13619467356964617/250000000000000000000000000
-44464393881010419/1000000000000000000000000000 198748511613808309551504937/1000000000000000000000000000 4803621951489272198086263/20000000000000000000000000 -6004527459602642274958973/25000000000000000000000000 48036219780110492242999473/200000000000000000000000000 34922452621429037/50000000000000000000000000 31567711306958313353887647/125000000000000000000000000
-8547906426194212248846141/500000000000000000000000000 4803621951489272198086263/20000000000000000000000000 223805188298087258546502171/500000000000000000000000000 -177468158987877391091343039/500000000000000000000000000 99716389522301134819172577/500000000000000000000000000 -232814194317599014785691077/500000000000000000000000000 76297100183589829609214751/250000000000000000000000000
213697658805956228948559/12500000000000000000000000 -6004527459602642274958973/25000000000000000000000000 -177468158987877391091343039/500000000000000000000000000 6993912144845774857563229/15625000000000000000000000 -73026710056347666877681287/250000000000000000000000000 93125676979919859751033613/200000000000000000000000000 -3814855020544120266158997/12500000000000000000000000
3419162550862189647037107/200000000000000000000000000 48036219780110492242999473/200000000000000000000000000 99716389522301134819172577/500000000000000000000000000 -73026710056347666877681287/250000000000000000000000000 447610380539979923440170459/1000000000000000000000000000 93125678256034697821300683/200000000000000000000000000 7629710056772421705556089/25000000000000000000000000
203200061225856933415350321/1000000000000000000000000000 34922452621429037/50000000000000000000000000 -232814194317599014785691077/500000000000000000000000000 93125676979919859751033613/200000000000000000000000000 93125678256034697821300683/200000000000000000000000000 2754754380530468112668585201/500000000000000000000000000 487834794511090779/500000000000000000000000000
-13619467356964617/250000000000000000000000000 31567711306958313353887647/125000000000000000000000000 76297100183589829609214751/250000000000000000000000000 -3814855020544120266158997/12500000000000000000000000 7629710056772421705556089/25000000000000000000000000 487834794511090779/500000000000000000000000000 4011181322840071836126429/12500000000000000000000000


--- 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 :
3499037695542816872463041113/500000000000000000000000000 811604243251208923610439529/500000000000000000000000000 -340183350118077940383909293/500000000000000000000000000 2703270088215660305796938061/1000000000000000000000000000 -3923906062114633199433754819/1000000000000000000000000000 -481968869634823123460087131/1000000000000000000000000000 -2115015805128011264849292997/1000000000000000000000000000 -2026771023533537643005444051/1000000000000000000000000000 -404613036341012389298277893/250000000000000000000000000 -415519697700813664244309327/1000000000000000000000000000 -67288866510144236542947499/200000000000000000000000000 1195575765643823560943245649/1000000000000000000000000000
811604243251208923610439529/500000000000000000000000000 961089340076090284846654023/1000000000000000000000000000 12868456587298465886013439/1000000000000000000000000000 686984314304222870972001693/500000000000000000000000000 -53645522697154726876500427/200000000000000000000000000 -44950021501763753581588229/100000000000000000000000000 -786661823221258603358198359/1000000000000000000000000000 -93601163569280487596666931/100000000000000000000000000 -191499659055597405541624149/250000000000000000000000000 -514991862174083333038035867/1000000000000000000000000000 69652112445127492728482547/125000000000000000000000000 -93888769665129859057591759/1000000000000000000000000000
-340183350118077940383909293/500000000000000000000000000 12868456587298465886013439/1000000000000000000000000000 14859240566854071285988869/100000000000000000000000000 -10424856141316477068878523/200000000000000000000000000 590384512405481837730706221/1000000000000000000000000000 -67820171298159306832558899/1000000000000000000000000000 142844219626560115263201683/1000000000000000000000000000 3772644664918470018930343/50000000000000000000000000 428422333881886320002959/8000000000000000000000000 -21327850980923409517322513/200000000000000000000000000 129398537026894353375457021/500000000000000000000000000 -288850896093581348038358353/1000000000000000000000000000
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-67288866510144236542947499/200000000000000000000000000 69652112445127492728482547/125000000000000000000000000 129398537026894353375457021/500000000000000000000000000 1163952544748551043190303233/1000000000000000000000000000 4860171123842446394033601/3906250000000000000000000 -52244076097884538827238129/100000000000000000000000000 -226637900015074522790729261/500000000000000000000000000 -729559679207213607034307273/1000000000000000000000000000 -611758875205858763811137061/1000000000000000000000000000 -323219140495874229469836183/500000000000000000000000000 481034217718856908828295759/250000000000000000000000000 -140690237646096353870853323/250000000000000000000000000
1195575765643823560943245649/1000000000000000000000000000 -93888769665129859057591759/1000000000000000000000000000 -288850896093581348038358353/1000000000000000000000000000 -14505623483524613903904767/1000000000000000000000000000 -1131470602401807623737223001/1000000000000000000000000000 42281114851262171507621183/250000000000000000000000000 -211066553221561451290221951/1000000000000000000000000000 -67410071951581229939081301/1000000000000000000000000000 -39272103145303257584468739/1000000000000000000000000000 249802601249134833027972649/1000000000000000000000000000 -140690237646096353870853323/250000000000000000000000000 567225421284860230803175587/1000000000000000000000000000


--- 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 :
8764255693256267735849040611/1000000000000000000000000000 1289980134535879730017207567/200000000000000000000000000 240921573197914460993186311/100000000000000000000000000 893805587877239201370125031/1000000000000000000000000000
1289980134535879730017207567/200000000000000000000000000 2400535851216669768411262093/500000000000000000000000000 1957866076355925431815909141/1000000000000000000000000000 213402678015738465636702681/250000000000000000000000000
240921573197914460993186311/100000000000000000000000000 1957866076355925431815909141/1000000000000000000000000000 1290589845719518554957918371/1000000000000000000000000000 911354074609861507706209419/1000000000000000000000000000
893805587877239201370125031/1000000000000000000000000000 213402678015738465636702681/250000000000000000000000000 911354074609861507706209419/1000000000000000000000000000 398181789308065056843648381/500000000000000000000000000


--- 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 :
19894110942978476037/200000000000000000000000000 -13206906482296771899/200000000000000000000000000 -52078455627894531/2500000000000000000000000 -6863767380017021781/100000000000000000000000000 12991764852928954269/200000000000000000000000000 -1377871786590704253/100000000000000000000000000
-13206906482296771899/200000000000000000000000000 350701530381752551/8000000000000000000000000 172614088719781523/12500000000000000000000000 4556581300062279491/100000000000000000000000000 -8624714315929905763/200000000000000000000000000 114339262774038093/12500000000000000000000000
-52078455627894531/2500000000000000000000000 172614088719781523/12500000000000000000000000 30648992187500000122247/781250000000000000000000 89739711079046391/6250000000000000000000000 -34032437241916907/2500000000000000000000000 2237362928386049/781250000000000000000000
-6863767380017021781/100000000000000000000000000 4556581300062279491/100000000000000000000000000 89739711079046391/6250000000000000000000000 2368102941721045061/50000000000000000000000000 -4482354203310149997/100000000000000000000000000 95077296490032613/10000000000000000000000000
12991764852928954269/200000000000000000000000000 -8624714315929905763/200000000000000000000000000 -34032437241916907/2500000000000000000000000 -4482354203310149997/100000000000000000000000000 8484216986503771253/200000000000000000000000000 -899813331702542261/100000000000000000000000000
-1377871786590704253/100000000000000000000000000 114339262774038093/12500000000000000000000000 2237362928386049/781250000000000000000000 95077296490032613/10000000000000000000000000 -899813331702542261/100000000000000000000000000 190863584277409583/100000000000000000000000000


--- 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 :
23367748179632374033958939/1000000000000000000000000000 621358101153025688669839/62500000000000000000000000 -1665473890984574548155821/100000000000000000000000000 -34611077755676781900899/62500000000000000000000000 553777395999569926551587/1000000000000000000000000000 -276888667005714758652333/500000000000000000000000000 -19567742426376593340238049/500000000000000000000000000 -700124075142894832297149/20000000000000000000000000 -209253725741944499854201/50000000000000000000000000 19595639172288158886675269/1000000000000000000000000000
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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 :
19057040049978262119438163/250000000000000000000000000 866891319933976015915099/100000000000000000000000000 455746122654192711540033/500000000000000000000000000 -1801225011414379794029/61035156250000000000000 -21127393197174841668988961/500000000000000000000000000 -9655464694623449490798259/250000000000000000000000000
866891319933976015915099/100000000000000000000000000 197171375671671630382931/200000000000000000000000000 20731571152342479110913/200000000000000000000000000 -167805862328379905224861/50000000000000000000000000 -961070225356633792477217/200000000000000000000000000 -219610141757234080763717/50000000000000000000000000
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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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