#Density : 6572649293802628117919302011/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 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 :
73402515635376650626521/1000000000000000000000000000 -941085077128860464897103/1000000000000000000000000000 7195717613782937329317/50000000000000000000000000 -20093509211194057811079/125000000000000000000000000 -391133966340289063308963/200000000000000000000000000 242678178579196454272167/62500000000000000000000000
-941085077128860464897103/1000000000000000000000000000 6032770912062547908379443/500000000000000000000000000 -369021819317632566219099/200000000000000000000000000 2060932242297156551914743/1000000000000000000000000000 200587315834551041017407/8000000000000000000000000 -49781577196109149168622481/1000000000000000000000000000
7195717613782937329317/50000000000000000000000000 -369021819317632566219099/200000000000000000000000000 11286447398508770733807/40000000000000000000000000 -63033138058849668165591/200000000000000000000000000 -38343230525341931887467/10000000000000000000000000 1522558079296323727505121/200000000000000000000000000
-20093509211194057811079/125000000000000000000000000 2060932242297156551914743/1000000000000000000000000000 -63033138058849668165591/200000000000000000000000000 11072793981116089983116271/1000000000000000000000000000 -72048671810386431675033/12500000000000000000000000 -8503261501927273943217609/1000000000000000000000000000
-391133966340289063308963/200000000000000000000000000 200587315834551041017407/8000000000000000000000000 -38343230525341931887467/10000000000000000000000000 -72048671810386431675033/12500000000000000000000000 3002225071908762154487439/40000000000000000000000000 -1293139314733151497553991/12500000000000000000000000
242678178579196454272167/62500000000000000000000000 -49781577196109149168622481/1000000000000000000000000000 1522558079296323727505121/200000000000000000000000000 -8503261501927273943217609/1000000000000000000000000000 -1293139314733151497553991/12500000000000000000000000 205395287195225122401328479/1000000000000000000000000000


--- 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 :
78872075324775727666770087/1000000000000000000000000000 -154356132080297880760338477/1000000000000000000000000000 31731585248749826433429441/125000000000000000000000000 -27000144825119593401001779/62500000000000000000000000 179937907014311232576635331/1000000000000000000000000000 135066849211222005015745839/1000000000000000000000000000
-154356132080297880760338477/1000000000000000000000000000 75520440576343212737688609/250000000000000000000000000 -248400450659103405798320769/500000000000000000000000000 845447599273030933872709263/1000000000000000000000000000 -7042928495791386685467489/20000000000000000000000000 -264331784492799455193468387/1000000000000000000000000000
31731585248749826433429441/125000000000000000000000000 -248400450659103405798320769/500000000000000000000000000 204258553766217269130240133/250000000000000000000000000 -695207691670510032763267583/500000000000000000000000000 289568393497700665525830757/500000000000000000000000000 108679408331724175931236129/250000000000000000000000000
-27000144825119593401001779/62500000000000000000000000 845447599273030933872709263/1000000000000000000000000000 -695207691670510032763267583/500000000000000000000000000 2366186020836181844733676477/1000000000000000000000000000 -985565454725987093578840931/1000000000000000000000000000 -369897657672767781906410213/500000000000000000000000000
179937907014311232576635331/1000000000000000000000000000 -7042928495791386685467489/20000000000000000000000000 289568393497700665525830757/500000000000000000000000000 -985565454725987093578840931/1000000000000000000000000000 102627102961877658545255083/250000000000000000000000000 61628012334738528296827837/200000000000000000000000000
135066849211222005015745839/1000000000000000000000000000 -264331784492799455193468387/1000000000000000000000000000 108679408331724175931236129/250000000000000000000000000 -369897657672767781906410213/500000000000000000000000000 61628012334738528296827837/200000000000000000000000000 249851459457806430936889579/1000000000000000000000000000


--- 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 85179/8000000


--- 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 1281989/500000000 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 :
9735589/1000000000


--- 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 :
733993940753073289979930651/500000000000000000000000000 1365215904644165333681948533/1000000000000000000000000000 6255503347458759617854649/1000000000000000000000000000 229040923394863490176508681/1000000000000000000000000000 -177200818575720401082539113/200000000000000000000000000 -653388019223981184008381397/250000000000000000000000000 725469946975080063767297177/1000000000000000000000000000 -427916683595324945642800657/1000000000000000000000000000 -95495963257973939716293023/250000000000000000000000000 317449983794771307580393319/1000000000000000000000000000 -277167740398958809097417/320000000000000000000000 -370569341766270469570412163/200000000000000000000000000
1365215904644165333681948533/1000000000000000000000000000 13080525646948536885450829061/1000000000000000000000000000 -1812541798602472987214215541/1000000000000000000000000000 333741089541531572666440861/1000000000000000000000000000 -5292411626656635227915679667/1000000000000000000000000000 -3267734605330399644372132889/1000000000000000000000000000 2750394807376739444131482509/1000000000000000000000000000 -7457390248629298268500230753/500000000000000000000000000 -52409577137248878876791853/1000000000000000000000000000 34227156579264291102710447/10000000000000000000000000 -2600995491062267751107072329/500000000000000000000000000 -532623523165274012265700217/250000000000000000000000000
6255503347458759617854649/1000000000000000000000000000 -1812541798602472987214215541/1000000000000000000000000000 11320358701905775808377433/40000000000000000000000000 -2919257123869197901037133/200000000000000000000000000 678987304992551671927635077/1000000000000000000000000000 18668526054500208148307833/200000000000000000000000000 -300511852343896031178351361/1000000000000000000000000000 225065816144841296814624023/100000000000000000000000000 -427955979409923094286647/8000000000000000000000000 -240702345328873021337853461/500000000000000000000000000 335131497357100591826713173/500000000000000000000000000 9532052703247734669897723/250000000000000000000000000
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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 :
84582029904323886540739573/62500000000000000000000000 62223790090238438524961863/62500000000000000000000000 94876508668607718876600323/62500000000000000000000000 368116399158247843793225869/125000000000000000000000000
62223790090238438524961863/62500000000000000000000000 183102725606074699086209833/250000000000000000000000000 558376380054142488935180809/500000000000000000000000000 1083237069817449438676044397/500000000000000000000000000
94876508668607718876600323/62500000000000000000000000 558376380054142488935180809/500000000000000000000000000 1863462929030767888221023263/1000000000000000000000000000 3239036155471346042453247607/1000000000000000000000000000
368116399158247843793225869/125000000000000000000000000 1083237069817449438676044397/500000000000000000000000000 3239036155471346042453247607/1000000000000000000000000000 7998002129967744923430382339/1000000000000000000000000000


--- 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 :
66885898875461843016821403/25000000000000000000000000 225140596599305107759656901/500000000000000000000000000 -1523245186666931084803932309/500000000000000000000000000 2451415358217598242419868317/1000000000000000000000000000 -58847561273027354970518039/1000000000000000000000000000 -2268162175388257909801113/250000000000000000000000000 -2936084501967951651734984097/1000000000000000000000000000 1390817056724573782827823301/500000000000000000000000000 -1655897885271405699901817/31250000000000000000000000 -3019654647192413931791128489/1000000000000000000000000000
225140596599305107759656901/500000000000000000000000000 30544825465589842653477361/250000000000000000000000000 -413317359146800421077960519/500000000000000000000000000 632363612017968680330982389/1000000000000000000000000000 1644404169381850292357453/31250000000000000000000000 -3433078568785308710305303/100000000000000000000000000 -45533005639881197389829687/62500000000000000000000000 377384309462385256941544679/500000000000000000000000000 -6983557801790109503832489/1000000000000000000000000000 -706091322260653834689619801/1000000000000000000000000000
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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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 65302324698811526134312531/125000000000000000000000000 -1078282443245641290879244523/1000000000000000000000000000 805907300308970165492768719/500000000000000000000000000 -32119042986035959077962323/1000000000000000000000000000 -1522328669698253945212355659/1000000000000000000000000000
0/1 -1078282443245641290879244523/1000000000000000000000000000 122581162849643628679877699/31250000000000000000000000 -4608412984999316942939919937/1000000000000000000000000000 5007009821297928658765417/100000000000000000000000000 821000639888541906643867851/200000000000000000000000000
0/1 805907300308970165492768719/500000000000000000000000000 -4608412984999316942939919937/1000000000000000000000000000 6681189486888373875497101449/1000000000000000000000000000 -1479903052630132640052507/25000000000000000000000000 -761167551451496866781361843/125000000000000000000000000
0/1 -32119042986035959077962323/1000000000000000000000000000 5007009821297928658765417/100000000000000000000000000 -1479903052630132640052507/25000000000000000000000000 334329357636355007593263909/1000000000000000000000000000 790562847620477518624223/15625000000000000000000000
0/1 -1522328669698253945212355659/1000000000000000000000000000 821000639888541906643867851/200000000000000000000000000 -761167551451496866781361843/125000000000000000000000000 790562847620477518624223/15625000000000000000000000 6556122467002614362397889109/1000000000000000000000000000


--- 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 :
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 6554828737441073148742637/500000000000000000000000000 0/1 -724658317077100052430651/200000000000000000000000000 0/1 -613152735202943013991959/125000000000000000000000000 -1300719116525888841848873/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -724658317077100052430651/200000000000000000000000000 0/1 122978627982864701870499039/1000000000000000000000000000 0/1 -6324995756941704653705361/500000000000000000000000000 -422395960746950027054943/12500000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -613152735202943013991959/125000000000000000000000000 0/1 -6324995756941704653705361/500000000000000000000000000 0/1 3169545385898855000199507/50000000000000000000000000 -8655800761974156095295921/250000000000000000000000000
0/1 0/1 0/1 -1300719116525888841848873/500000000000000000000000000 0/1 -422395960746950027054943/12500000000000000000000000 0/1 -8655800761974156095295921/250000000000000000000000000 84038629021887060073700467/250000000000000000000000000


--- 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 :
33867408558817453882061/1000000000000000000000000000 0/1 14552321701084719705887/500000000000000000000000000 -1164205310257119928479/40000000000000000000000000 -29105542771647759832699/1000000000000000000000000000 -96917970282606748487/200000000000000000000000000 26887588579888283/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
14552321701084719705887/500000000000000000000000000 0/1 1931945881114224037224311023/500000000000000000000000000 -306009456862267089853871/2000000000000000000000000 117224968917270147373079779/1000000000000000000000000000 -47319940150904300244139/40000000000000000000000000 36321593761327658258133119/1000000000000000000000000000
-1164205310257119928479/40000000000000000000000000 0/1 -306009456862267089853871/2000000000000000000000000 1931945879047748403495389821/500000000000000000000000000 -1914056000251025859246675549/500000000000000000000000000 1182996084861756877594843/1000000000000000000000000000 -18160796464830454937841313/500000000000000000000000000
-29105542771647759832699/1000000000000000000000000000 0/1 117224968917270147373079779/1000000000000000000000000000 -1914056000251025859246675549/500000000000000000000000000 482986470919657849069939777/125000000000000000000000000 1183005662991757936894361/1000000000000000000000000000 18160796574335265655400879/500000000000000000000000000
-96917970282606748487/200000000000000000000000000 0/1 -47319940150904300244139/40000000000000000000000000 1182996084861756877594843/1000000000000000000000000000 1183005662991757936894361/1000000000000000000000000000 175569056585194502861767859/1000000000000000000000000000 642915632564497/100000000000000000000000000
26887588579888283/500000000000000000000000000 0/1 36321593761327658258133119/1000000000000000000000000000 -18160796464830454937841313/500000000000000000000000000 18160796574335265655400879/500000000000000000000000000 642915632564497/100000000000000000000000000 53151499129982185654218669/250000000000000000000000000


--- 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 :
12102376590100386819345743/100000000000000000000000000 -1937708929760793222454357/250000000000000000000000000 1367460748807012066197161/125000000000000000000000000 2303831160270053031846007/100000000000000000000000000 -57274271700718938708311/125000000000000000000000000 -21316094581708412663055957/500000000000000000000000000 -788232826800023784654457/62500000000000000000000000 -569013656561278946142479/100000000000000000000000000 2184482476845114240842369/250000000000000000000000000 -10884278292612166143366687/500000000000000000000000000 -1499141800674046624465723/250000000000000000000000000 -21609229310325455036622727/500000000000000000000000000
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1367460748807012066197161/125000000000000000000000000 7007285375281422893087711/1000000000000000000000000000 383008098413976317329412721/1000000000000000000000000000 -6125538724403773011418453/500000000000000000000000000 6369137913550046225908973/1000000000000000000000000000 -44863744034018333300467577/1000000000000000000000000000 -61351883913608211181318217/1000000000000000000000000000 6125826744046878307181269/200000000000000000000000000 615384552430427649102553/62500000000000000000000000 -7283668346282607563063133/125000000000000000000000000 -3948953863273580321335027/250000000000000000000000000 -12106207573304230421951147/1000000000000000000000000000
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2184482476845114240842369/250000000000000000000000000 340910683106868698855783/250000000000000000000000000 615384552430427649102553/62500000000000000000000000 -20166138631815821969619173/1000000000000000000000000000 -455724590264806652153553/500000000000000000000000000 -2303573100440861878223943/1000000000000000000000000000 -35563081579266419622356761/500000000000000000000000000 6429753079928420231009603/500000000000000000000000000 127447202738856424617689483/1000000000000000000000000000 -778329620317659910605859/100000000000000000000000000 -500960725754090313131049/125000000000000000000000000 394867051276140113896249/40000000000000000000000000
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-21609229310325455036622727/500000000000000000000000000 -62750891886052492821932613/1000000000000000000000000000 -12106207573304230421951147/1000000000000000000000000000 -31408995790471075878941187/1000000000000000000000000000 -46217085668516625043977473/1000000000000000000000000000 6460734084291602089766561/100000000000000000000000000 -75695353860461087662915941/1000000000000000000000000000 -11605360824407318806721667/200000000000000000000000000 394867051276140113896249/40000000000000000000000000 -9261791025936670224073/1953125000000000000000000 -13806914414824539923041191/500000000000000000000000000 221749233920745400248524653/500000000000000000000000000


--- 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 :
87311828525355716617429069/125000000000000000000000000 16510408068502635975289049/1000000000000000000000000000 3464869942476712583589369/5000000000000000000000000 -163564529841901057469620493/1000000000000000000000000000
16510408068502635975289049/1000000000000000000000000000 897333321752283122647992529/1000000000000000000000000000 697850474193391177596956761/1000000000000000000000000000 188926425524503075385364569/500000000000000000000000000
3464869942476712583589369/5000000000000000000000000 697850474193391177596956761/1000000000000000000000000000 108867879033745019116371669/15625000000000000000000000 439020734847965659335580459/1000000000000000000000000000
-163564529841901057469620493/1000000000000000000000000000 188926425524503075385364569/500000000000000000000000000 439020734847965659335580459/1000000000000000000000000000 636633503294039127682795713/1000000000000000000000000000


--- 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 19745444192502475816576783/500000000000000000000000000 -93703183571595988839671/50000000000000000000000000 -2344651803817509885605187/1000000000000000000000000000 -7108462477348762879632921/500000000000000000000000000 0/1
0/1 -93703183571595988839671/50000000000000000000000000 241684295057351836650693/6250000000000000000000000 -192524030460889511726587/50000000000000000000000000 -325700613978008055477589/25000000000000000000000000 0/1
0/1 -2344651803817509885605187/1000000000000000000000000000 -192524030460889511726587/50000000000000000000000000 99180739174948776981232753/1000000000000000000000000000 -10074005467183513992102299/500000000000000000000000000 0/1
0/1 -7108462477348762879632921/500000000000000000000000000 -325700613978008055477589/25000000000000000000000000 -10074005467183513992102299/500000000000000000000000000 2046123744918429614622521/50000000000000000000000000 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 :
137162245372154269826806207/1000000000000000000000000000 -12809364278070219182943291/250000000000000000000000000 -21481197275969833314586631/500000000000000000000000000 -1563966937877151430136217/500000000000000000000000000 390991769021444524589389/125000000000000000000000000 -3127933786398265601028809/1000000000000000000000000000 2414367645554764141747909/1000000000000000000000000000 -18872365386803944846733069/500000000000000000000000000 2546630103369017174834109/250000000000000000000000000 1377910509658620574020673/100000000000000000000000000
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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 :
126523211028006590436475363/1000000000000000000000000000 68730606148352566174421663/1000000000000000000000000000 -24990368602185485801821723/500000000000000000000000000 255926385986920336377192717/1000000000000000000000000000 -14713972554522683382725101/200000000000000000000000000 -273080551912127833049130857/500000000000000000000000000
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

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

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

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