#Density : 3718715284142862512527726739/24000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 4, 7, 8, 9, 10, 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 :
2181623953699600426411717/31250000000000000000000000 809309508412266353902487/7812500000000000000000000 -181806340293784305460529/6250000000000000000000000 -2460139226908103310091823/31250000000000000000000000 -90512354774301414459967/3125000000000000000000000 -4433297273756506957809651/62500000000000000000000000
809309508412266353902487/7812500000000000000000000 300226755071966088916957/1953125000000000000000000 -67444070569485486489019/1562500000000000000000000 -912629358042373030468453/7812500000000000000000000 -33577055854839161033237/781250000000000000000000 -1644604988492603385626961/15625000000000000000000000
-181806340293784305460529/6250000000000000000000000 -67444070569485486489019/1562500000000000000000000 15150890379144883438573/1250000000000000000000000 205016500987194854910451/6250000000000000000000000 7542876463646608995779/625000000000000000000000 369450267269601333138087/12500000000000000000000000
-2460139226908103310091823/31250000000000000000000000 -912629358042373030468453/7812500000000000000000000 205016500987194854910451/6250000000000000000000000 2774210929206441966779437/31250000000000000000000000 102067541989751594708573/3125000000000000000000000 4999270616376315159390969/62500000000000000000000000
-90512354774301414459967/3125000000000000000000000 -33577055854839161033237/781250000000000000000000 7542876463646608995779/625000000000000000000000 102067541989751594708573/3125000000000000000000000 3755223879393227320717/312500000000000000000000 183930954269969937079401/6250000000000000000000000
-4433297273756506957809651/62500000000000000000000000 -1644604988492603385626961/15625000000000000000000000 369450267269601333138087/12500000000000000000000000 4999270616376315159390969/62500000000000000000000000 183930954269969937079401/6250000000000000000000000 9008942482579268322402453/125000000000000000000000000


--- 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 :
9008942482579268322402453/125000000000000000000000000 4999270616376315159390969/62500000000000000000000000 183930954269969937079401/6250000000000000000000000 -1644604988492603385626961/15625000000000000000000000 369450267269601333138087/12500000000000000000000000 -4433297273756506957809651/62500000000000000000000000
4999270616376315159390969/62500000000000000000000000 2774210929206441966779437/31250000000000000000000000 102067541989751594708573/3125000000000000000000000 -912629358042373030468453/7812500000000000000000000 205016500987194854910451/6250000000000000000000000 -2460139226908103310091823/31250000000000000000000000
183930954269969937079401/6250000000000000000000000 102067541989751594708573/3125000000000000000000000 3755223879393227320717/312500000000000000000000 -33577055854839161033237/781250000000000000000000 7542876463646608995779/625000000000000000000000 -90512354774301414459967/3125000000000000000000000
-1644604988492603385626961/15625000000000000000000000 -912629358042373030468453/7812500000000000000000000 -33577055854839161033237/781250000000000000000000 300226755071966088916957/1953125000000000000000000 -67444070569485486489019/1562500000000000000000000 809309508412266353902487/7812500000000000000000000
369450267269601333138087/12500000000000000000000000 205016500987194854910451/6250000000000000000000000 7542876463646608995779/625000000000000000000000 -67444070569485486489019/1562500000000000000000000 15150890379144883438573/1250000000000000000000000 -181806340293784305460529/6250000000000000000000000
-4433297273756506957809651/62500000000000000000000000 -2460139226908103310091823/31250000000000000000000000 -90512354774301414459967/3125000000000000000000000 809309508412266353902487/7812500000000000000000000 -181806340293784305460529/6250000000000000000000000 2181623953699600426411717/31250000000000000000000000


--- 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 :
24188213931634537865144349/200000000000000000000000000 -73316670778519813412068921/500000000000000000000000000 7504175731555890676932003/62500000000000000000000000 -31782128282774620368930431/250000000000000000000000000 266632294442838185757582163/1000000000000000000000000000 52881627286924818536179333/1000000000000000000000000000 -37428570319021793098750643/1000000000000000000000000000 -191813795114240390398895551/1000000000000000000000000000 78218505859295223778771957/1000000000000000000000000000 -18668701968487397993758503/1000000000000000000000000000 -10860112047113655138798907/40000000000000000000000000 25346180905784721611459851/50000000000000000000000000
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7504175731555890676932003/62500000000000000000000000 -704396423789969512858589/5000000000000000000000000 15759040873992930621711501/62500000000000000000000000 -49435032665592411522544933/100000000000000000000000000 232647637048771783006136659/500000000000000000000000000 275837528422021758232892827/500000000000000000000000000 -2279438964217699216478689/250000000000000000000000000 -100754958572438881851709033/125000000000000000000000000 113784865204245372789189061/500000000000000000000000000 39351171802111285750335819/250000000000000000000000000 -54200159319333565358228737/125000000000000000000000000 119146340270066239627121797/250000000000000000000000000
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25346180905784721611459851/50000000000000000000000000 -263405419870592877598072613/500000000000000000000000000 119146340270066239627121797/250000000000000000000000000 -35324507922661403503115189/125000000000000000000000000 319699154405232333621544371/250000000000000000000000000 -50700864758924052280962249/250000000000000000000000000 -12639357041685711839601813/50000000000000000000000000 -191771058786181814641673249/500000000000000000000000000 12720310355300040347434273/50000000000000000000000000 -79899583299701122480250047/500000000000000000000000000 -339857624648568905545764517/250000000000000000000000000 13577863280946363004872433/6250000000000000000000000


--- 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 :
25986641829080082964875669/20000000000000000000000000 11202839293891110097828621/6250000000000000000000000 33092911578017201763722131/50000000000000000000000000 -18705851723546136736296537/100000000000000000000000000
11202839293891110097828621/6250000000000000000000000 675332726198477436871606431/250000000000000000000000000 37095941697179675589026793/250000000000000000000000000 -7856127467177813837676893/50000000000000000000000000
33092911578017201763722131/50000000000000000000000000 37095941697179675589026793/250000000000000000000000000 1447434210463018183208387429/500000000000000000000000000 -216440458186574973669930443/500000000000000000000000000
-18705851723546136736296537/100000000000000000000000000 -7856127467177813837676893/50000000000000000000000000 -216440458186574973669930443/500000000000000000000000000 456191805033055282043419027/250000000000000000000000000


--- 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 :
1092448834281177653363743247/1000000000000000000000000000 2383181381206925419044019/200000000000000000000000000 10493645896600364402814847/12500000000000000000000000 -149342495857118122375357437/250000000000000000000000000 -79512573097683887291233377/500000000000000000000000000 -197132667122466061399799361/500000000000000000000000000 767341110575249862078413009/1000000000000000000000000000 -209422809820647279082801101/250000000000000000000000000 -6988697629162220595818361/15625000000000000000000000 -13697521197277758996876871/1000000000000000000000000000
2383181381206925419044019/200000000000000000000000000 645338726790679816629996837/500000000000000000000000000 615132292997687651634175003/1000000000000000000000000000 -409713842434529929714631173/1000000000000000000000000000 -33135455732829072879810641/250000000000000000000000000 -112654278540428681669133663/250000000000000000000000000 -15541251507838807883582547/50000000000000000000000000 -700412630191115294244109801/1000000000000000000000000000 -727911922131576685215395329/1000000000000000000000000000 767341110575249862078413009/1000000000000000000000000000
10493645896600364402814847/12500000000000000000000000 615132292997687651634175003/1000000000000000000000000000 2064810687270358715034108537/1000000000000000000000000000 -243076279554864707045578329/250000000000000000000000000 -19283169227861155487596427/200000000000000000000000000 -698233498710304419175287439/1000000000000000000000000000 615132292997687651634175003/1000000000000000000000000000 -1914997991841269484967877833/1000000000000000000000000000 -243076279554864707045578329/250000000000000000000000000 10493645896600364402814847/12500000000000000000000000
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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 :
32589514555821265768078041/31250000000000000000000000 -31643047913931375292815171/62500000000000000000000000 0/1 -290502088641294171114804981/125000000000000000000000000 -32589514555821265768078041/31250000000000000000000000 31643047913931375292815171/62500000000000000000000000
-31643047913931375292815171/62500000000000000000000000 30724068613182327771953201/125000000000000000000000000 0/1 282065309510160649636656311/250000000000000000000000000 31643047913931375292815171/62500000000000000000000000 -30724068613182327771953201/125000000000000000000000000
0/1 0/1 734431491531137014734431493/1000000000000000000000000000 0/1 0/1 0/1
-290502088641294171114804981/125000000000000000000000000 282065309510160649636656311/250000000000000000000000000 0/1 2589528093780089910103311521/500000000000000000000000000 290502088641294171114804981/125000000000000000000000000 -282065309510160649636656311/250000000000000000000000000
-32589514555821265768078041/31250000000000000000000000 31643047913931375292815171/62500000000000000000000000 0/1 290502088641294171114804981/125000000000000000000000000 32589514555821265768078041/31250000000000000000000000 -31643047913931375292815171/62500000000000000000000000
31643047913931375292815171/62500000000000000000000000 -30724068613182327771953201/125000000000000000000000000 0/1 -282065309510160649636656311/250000000000000000000000000 -31643047913931375292815171/62500000000000000000000000 30724068613182327771953201/125000000000000000000000000


--- 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 :
244667942662533319660101089/500000000000000000000000000 11108628256113219640894291/250000000000000000000000000 32996168130389995335963261/31250000000000000000000000 -24926206116579171998902509/250000000000000000000000000 39246745825916776830122689/125000000000000000000000000 32996168130389995335963261/31250000000000000000000000 -186919177127586950157534229/500000000000000000000000000 11108628256113219640894291/250000000000000000000000000 244667942662533319660101089/500000000000000000000000000
11108628256113219640894291/250000000000000000000000000 539148966679677703619729/125000000000000000000000000 5227753672674566225781711/62500000000000000000000000 -379337215019799055102611/125000000000000000000000000 883895858304424379380003/31250000000000000000000000 5227753672674566225781711/62500000000000000000000000 -8457207557578186084509671/250000000000000000000000000 539148966679677703619729/125000000000000000000000000 11108628256113219640894291/250000000000000000000000000
32996168130389995335963261/31250000000000000000000000 5227753672674566225781711/62500000000000000000000000 704083178293439957502373017/250000000000000000000000000 -59973855410394870506034093/125000000000000000000000000 171855342988698796118362137/250000000000000000000000000 704083178293439957502373017/250000000000000000000000000 -101480114683151284173700569/125000000000000000000000000 5227753672674566225781711/62500000000000000000000000 32996168130389995335963261/31250000000000000000000000
-24926206116579171998902509/250000000000000000000000000 -379337215019799055102611/125000000000000000000000000 -59973855410394870506034093/125000000000000000000000000 18813025617800730253296651/125000000000000000000000000 -8607697394968162848113247/125000000000000000000000000 -59973855410394870506034093/125000000000000000000000000 787204425683036243528349/10000000000000000000000000 -379337215019799055102611/125000000000000000000000000 -24926206116579171998902509/250000000000000000000000000
39246745825916776830122689/125000000000000000000000000 883895858304424379380003/31250000000000000000000000 171855342988698796118362137/250000000000000000000000000 -8607697394968162848113247/125000000000000000000000000 50409875576227373194125793/250000000000000000000000000 171855342988698796118362137/250000000000000000000000000 -2999533145378446958628497/12500000000000000000000000 883895858304424379380003/31250000000000000000000000 39246745825916776830122689/125000000000000000000000000
32996168130389995335963261/31250000000000000000000000 5227753672674566225781711/62500000000000000000000000 704083178293439957502373017/250000000000000000000000000 -59973855410394870506034093/125000000000000000000000000 171855342988698796118362137/250000000000000000000000000 704083178293439957502373017/250000000000000000000000000 -101480114683151284173700569/125000000000000000000000000 5227753672674566225781711/62500000000000000000000000 32996168130389995335963261/31250000000000000000000000
-186919177127586950157534229/500000000000000000000000000 -8457207557578186084509671/250000000000000000000000000 -101480114683151284173700569/125000000000000000000000000 787204425683036243528349/10000000000000000000000000 -2999533145378446958628497/12500000000000000000000000 -101480114683151284173700569/125000000000000000000000000 142825754471037330604842977/500000000000000000000000000 -8457207557578186084509671/250000000000000000000000000 -186919177127586950157534229/500000000000000000000000000
11108628256113219640894291/250000000000000000000000000 539148966679677703619729/125000000000000000000000000 5227753672674566225781711/62500000000000000000000000 -379337215019799055102611/125000000000000000000000000 883895858304424379380003/31250000000000000000000000 5227753672674566225781711/62500000000000000000000000 -8457207557578186084509671/250000000000000000000000000 539148966679677703619729/125000000000000000000000000 11108628256113219640894291/250000000000000000000000000
244667942662533319660101089/500000000000000000000000000 11108628256113219640894291/250000000000000000000000000 32996168130389995335963261/31250000000000000000000000 -24926206116579171998902509/250000000000000000000000000 39246745825916776830122689/125000000000000000000000000 32996168130389995335963261/31250000000000000000000000 -186919177127586950157534229/500000000000000000000000000 11108628256113219640894291/250000000000000000000000000 244667942662533319660101089/500000000000000000000000000


--- 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 :
213838858968197567055608241/500000000000000000000000000 -1539324245200203543/500000000000000000000000000 -293240036338591491543026299/500000000000000000000000000 293240036338591491543026299/500000000000000000000000000 117296015424220932451227553/200000000000000000000000000 -442992411943462895249756169/500000000000000000000000000 806878155002159231/500000000000000000000000000
-1539324245200203543/500000000000000000000000000 2332044515171021675546731041/500000000000000000000000000 -1352992843018960088378734711/500000000000000000000000000 1352992843018960088378734711/500000000000000000000000000 -54119713737770805743664467/20000000000000000000000000 -1320380583103694689/500000000000000000000000000 -442992411943462895249756169/500000000000000000000000000
-293240036338591491543026299/500000000000000000000000000 -1352992843018960088378734711/500000000000000000000000000 1590183311560392971566516651/500000000000000000000000000 -1590183311560392971566516651/500000000000000000000000000 0/1 1352992843018960088378734711/500000000000000000000000000 293240036338591491543026299/500000000000000000000000000
293240036338591491543026299/500000000000000000000000000 1352992843018960088378734711/500000000000000000000000000 -1590183311560392971566516651/500000000000000000000000000 1590183311560392971566516651/500000000000000000000000000 0/1 -1352992843018960088378734711/500000000000000000000000000 -293240036338591491543026299/500000000000000000000000000
117296015424220932451227553/200000000000000000000000000 -54119713737770805743664467/20000000000000000000000000 0/1 0/1 3180366628684463314553037421/1000000000000000000000000000 -54119713737770805743664467/20000000000000000000000000 117296015424220932451227553/200000000000000000000000000
-442992411943462895249756169/500000000000000000000000000 -1320380583103694689/500000000000000000000000000 1352992843018960088378734711/500000000000000000000000000 -1352992843018960088378734711/500000000000000000000000000 -54119713737770805743664467/20000000000000000000000000 2332044515171021675546731041/500000000000000000000000000 -1539324245200203543/500000000000000000000000000
806878155002159231/500000000000000000000000000 -442992411943462895249756169/500000000000000000000000000 293240036338591491543026299/500000000000000000000000000 -293240036338591491543026299/500000000000000000000000000 117296015424220932451227553/200000000000000000000000000 -1539324245200203543/500000000000000000000000000 213838858968197567055608241/500000000000000000000000000


--- 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 :
13577863280946363004872433/6250000000000000000000000 -50700864758924052280962249/250000000000000000000000000 -79899583299701122480250047/500000000000000000000000000 -35324507922661403503115189/125000000000000000000000000 -191771058786181814641673249/500000000000000000000000000 -263405419870592877598072613/500000000000000000000000000 -339857624648568905545764517/250000000000000000000000000 319699154405232333621544371/250000000000000000000000000 12720310355300040347434273/50000000000000000000000000 119146340270066239627121797/250000000000000000000000000 -12639357041685711839601813/50000000000000000000000000 25346180905784721611459851/50000000000000000000000000
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-12639357041685711839601813/50000000000000000000000000 780420220837028123680054091/1000000000000000000000000000 53405629662843944123003311/1000000000000000000000000000 -207217219126953879061507681/500000000000000000000000000 -703613535946917208911620977/1000000000000000000000000000 -17856920983037148647705469/125000000000000000000000000 591753574813038780871701909/1000000000000000000000000000 -469765808800769059227644891/1000000000000000000000000000 99883551054943270177585711/1000000000000000000000000000 -2279438964217699216478689/250000000000000000000000000 538485659083794003414837297/1000000000000000000000000000 -37428570319021793098750643/1000000000000000000000000000
25346180905784721611459851/50000000000000000000000000 52881627286924818536179333/1000000000000000000000000000 -18668701968487397993758503/1000000000000000000000000000 -31782128282774620368930431/250000000000000000000000000 -191813795114240390398895551/1000000000000000000000000000 -73316670778519813412068921/500000000000000000000000000 -10860112047113655138798907/40000000000000000000000000 266632294442838185757582163/1000000000000000000000000000 78218505859295223778771957/1000000000000000000000000000 7504175731555890676932003/62500000000000000000000000 -37428570319021793098750643/1000000000000000000000000000 24188213931634537865144349/200000000000000000000000000


--- 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 :
456191805033055282043419027/250000000000000000000000000 -7856127467177813837676893/50000000000000000000000000 -216440458186574973669930443/500000000000000000000000000 -18705851723546136736296537/100000000000000000000000000
-7856127467177813837676893/50000000000000000000000000 675332726198477436871606431/250000000000000000000000000 37095941697179675589026793/250000000000000000000000000 11202839293891110097828621/6250000000000000000000000
-216440458186574973669930443/500000000000000000000000000 37095941697179675589026793/250000000000000000000000000 1447434210463018183208387429/500000000000000000000000000 33092911578017201763722131/50000000000000000000000000
-18705851723546136736296537/100000000000000000000000000 11202839293891110097828621/6250000000000000000000000 33092911578017201763722131/50000000000000000000000000 25986641829080082964875669/20000000000000000000000000


--- 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 :
2069880610088481880453707571/1000000000000000000000000000 228926625598894218388363303/1000000000000000000000000000 2066486946521325175770473/12500000000000000000000000 -1607594417805136163465060733/1000000000000000000000000000 -346669997289862889991061553/1000000000000000000000000000 62630419975889057360248447/1000000000000000000000000000
228926625598894218388363303/1000000000000000000000000000 31852019820000949443050443/1000000000000000000000000000 337622458278392757509423/12500000000000000000000000 -6731081546876638244372049/40000000000000000000000000 -47123146058178836130394541/1000000000000000000000000000 -3214799459875842028211161/200000000000000000000000000
2066486946521325175770473/12500000000000000000000000 337622458278392757509423/12500000000000000000000000 14081789093503557918541861/250000000000000000000000000 -28919947122190291541407041/250000000000000000000000000 -2463590659664373786427471/62500000000000000000000000 -803706624556729235429657/31250000000000000000000000
-1607594417805136163465060733/1000000000000000000000000000 -6731081546876638244372049/40000000000000000000000000 -28919947122190291541407041/250000000000000000000000000 1262431325908363485575348967/1000000000000000000000000000 256446189554461273020823903/1000000000000000000000000000 -82164232574615646523709633/1000000000000000000000000000
-346669997289862889991061553/1000000000000000000000000000 -47123146058178836130394541/1000000000000000000000000000 -2463590659664373786427471/62500000000000000000000000 256446189554461273020823903/1000000000000000000000000000 69866113501189065810075419/1000000000000000000000000000 20428858042703663665338763/1000000000000000000000000000
62630419975889057360248447/1000000000000000000000000000 -3214799459875842028211161/200000000000000000000000000 -803706624556729235429657/31250000000000000000000000 -82164232574615646523709633/1000000000000000000000000000 20428858042703663665338763/1000000000000000000000000000 82874927185784493562436667/1000000000000000000000000000


--- Term 17 ---

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

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

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

Matrix :
131748968993277142104217853/100000000000000000000000000 -620303016967937777741617201/500000000000000000000000000 -9610456856205935759281943/250000000000000000000000000 -37630355190147748999670433/125000000000000000000000000 150521420292684480880573477/500000000000000000000000000 -150521420074652083137059733/500000000000000000000000000 -1141084057601088926000339/15625000000000000000000000 -46168584068266857557223419/500000000000000000000000000 -1835744259085364911257579/125000000000000000000000000 3344472620159036234134899/62500000000000000000000000
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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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