#Density : 2704271705430528292952665461/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 10, 11, 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 :
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 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 :
2172033803722898269564659/250000000000000000000000000 -4865774214446028316304109/250000000000000000000000000 5117563370982957540133413/250000000000000000000000000 -5308190692649596000374081/500000000000000000000000000 6005411861838432752530971/500000000000000000000000000 5115665078685846805612821/250000000000000000000000000
-4865774214446028316304109/250000000000000000000000000 10900271747791061598091059/250000000000000000000000000 -11464327971618969299149563/250000000000000000000000000 11891369901051469128161631/500000000000000000000000000 -13453279656318685699278021/500000000000000000000000000 -11460075431122163422927371/250000000000000000000000000
5117563370982957540133413/250000000000000000000000000 -11464327971618969299149563/250000000000000000000000000 12057572405704430778159491/250000000000000000000000000 -12506712468440872603325767/500000000000000000000000000 14149446347996048615591997/500000000000000000000000000 12053099809048493853884947/250000000000000000000000000
-5308190692649596000374081/500000000000000000000000000 11891369901051469128161631/500000000000000000000000000 -12506712468440872603325767/500000000000000000000000000 12972582830541675538523579/1000000000000000000000000000 -14676507932749068769012089/1000000000000000000000000000 -12502073269232195300121239/500000000000000000000000000
6005411861838432752530971/500000000000000000000000000 -13453279656318685699278021/500000000000000000000000000 14149446347996048615591997/500000000000000000000000000 -14676507932749068769012089/1000000000000000000000000000 16604240490407586256682499/1000000000000000000000000000 14144197798429846876255149/500000000000000000000000000
5115665078685846805612821/250000000000000000000000000 -11460075431122163422927371/250000000000000000000000000 12053099809048493853884947/250000000000000000000000000 -12502073269232195300121239/500000000000000000000000000 14144197798429846876255149/500000000000000000000000000 12048628871443000386555299/250000000000000000000000000


--- 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 :
822403062945412626395243223/1000000000000000000000000000 1160489065369339309312626017/1000000000000000000000000000 83552914336152725381871461/200000000000000000000000000 174965859129001463390692799/500000000000000000000000000 69971960067798142273995679/1000000000000000000000000000 -338666623059409386951977983/500000000000000000000000000 -49079585365396150245019499/200000000000000000000000000 -1421636566354867497484198577/1000000000000000000000000000 -72802292276770348997945051/125000000000000000000000000 -642522883591316249432588491/500000000000000000000000000 -497334339548273844266486837/1000000000000000000000000000 24461457584811575012075461/25000000000000000000000000
1160489065369339309312626017/1000000000000000000000000000 8822054290207517327977306179/1000000000000000000000000000 -1381304711178396517420075753/1000000000000000000000000000 358591351130751083883926919/100000000000000000000000000 -3392836666816159897653913103/1000000000000000000000000000 798715822557747265894635851/500000000000000000000000000 951735783363782396965540627/1000000000000000000000000000 -5040275336148192209672494163/1000000000000000000000000000 -855023961430297765120903211/250000000000000000000000000 -1378923127796760630990284017/500000000000000000000000000 -4203314499997021822477294263/1000000000000000000000000000 177487444122894458375410611/125000000000000000000000000
83552914336152725381871461/200000000000000000000000000 -1381304711178396517420075753/1000000000000000000000000000 780086852889061488562671063/1000000000000000000000000000 -234847203769175334392764731/500000000000000000000000000 208791925507450010246486477/200000000000000000000000000 -365510470467526215840640873/500000000000000000000000000 -482984204054995006222072193/1000000000000000000000000000 282283380619922861119546153/1000000000000000000000000000 27889116643905389080705643/125000000000000000000000000 -21688235435749469997379217/100000000000000000000000000 89141738051501075269892233/200000000000000000000000000 27484083281195153256256417/125000000000000000000000000
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24461457584811575012075461/25000000000000000000000000 177487444122894458375410611/125000000000000000000000000 27484083281195153256256417/125000000000000000000000000 -764816738804048715437049943/500000000000000000000000000 -215385430888345079353985081/500000000000000000000000000 -482044607327018587936524399/125000000000000000000000000 -131380489546174377104355867/500000000000000000000000000 -10596099805166082701991401/3125000000000000000000000 593667558690355208762227657/500000000000000000000000000 -1631298008129414472668656989/500000000000000000000000000 97622843706246001926317071/50000000000000000000000000 942256607269316244520349811/250000000000000000000000000


--- 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 :
118249198472675078935753599/250000000000000000000000000 220838008175376515360220987/500000000000000000000000000 28150161615948130575975711/62500000000000000000000000 34979687321208908494670559/100000000000000000000000000
220838008175376515360220987/500000000000000000000000000 412429229836490272573747431/1000000000000000000000000000 52572243206514890961758043/125000000000000000000000000 65326823136127197176509467/200000000000000000000000000
28150161615948130575975711/62500000000000000000000000 52572243206514890961758043/125000000000000000000000000 6701369727991127694258879/15625000000000000000000000 8327192607524543881601151/25000000000000000000000000
34979687321208908494670559/100000000000000000000000000 65326823136127197176509467/200000000000000000000000000 8327192607524543881601151/25000000000000000000000000 10347457241938825632185919/40000000000000000000000000


--- 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 :
498506780220789639478171807/500000000000000000000000000 469732707961832211434765087/500000000000000000000000000 -170619421764173793478666059/1000000000000000000000000000 65716140067384619425169853/1000000000000000000000000000 -92096158896324846041468839/500000000000000000000000000 -614599580326799350618620149/1000000000000000000000000000 -46360015762443269926216447/250000000000000000000000000 -36385733271517307870128533/125000000000000000000000000 -19156469257425486483925229/1000000000000000000000000000 -144319322315182994192580021/500000000000000000000000000
469732707961832211434765087/500000000000000000000000000 1192720944699888332420761773/500000000000000000000000000 -530897568872964781872797119/1000000000000000000000000000 -407113689981863759797375701/1000000000000000000000000000 -360793532949937478660865799/1000000000000000000000000000 -118127430750719331356839221/125000000000000000000000000 98587801031653135207564603/1000000000000000000000000000 -28936646034656912584434051/50000000000000000000000000 -489608897859477323526021759/1000000000000000000000000000 -228835665190019751812888317/500000000000000000000000000
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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 :
636614808928367409985062459/200000000000000000000000000 -1228130638891135515491391147/1000000000000000000000000000 -2104237412305881592372310073/500000000000000000000000000 -29564222920962394665902217/40000000000000000000000000 -37440876689246940420833367/50000000000000000000000000 28607308528181893149639249/62500000000000000000000000
-1228130638891135515491391147/1000000000000000000000000000 2348567989971467509831276959/1000000000000000000000000000 -61677370189421199443041191/125000000000000000000000000 2373836705301983742755501409/1000000000000000000000000000 193393797121125414363543297/250000000000000000000000000 -404723234491903712046172137/500000000000000000000000000
-2104237412305881592372310073/500000000000000000000000000 -61677370189421199443041191/125000000000000000000000000 11348129042183781035305653457/1000000000000000000000000000 -19347528152096792102478527/15625000000000000000000000 392355195374445956029599363/250000000000000000000000000 2156531952754678857289196617/1000000000000000000000000000
-29564222920962394665902217/40000000000000000000000000 2373836705301983742755501409/1000000000000000000000000000 -19347528152096792102478527/15625000000000000000000000 500941969137524201126597759/200000000000000000000000000 7614496198233575063528607/10000000000000000000000000 -362429092940315025111022219/500000000000000000000000000
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28607308528181893149639249/62500000000000000000000000 -404723234491903712046172137/500000000000000000000000000 2156531952754678857289196617/1000000000000000000000000000 -362429092940315025111022219/500000000000000000000000000 102121141292744030043619029/250000000000000000000000000 1514437959628842870190969501/1000000000000000000000000000


--- 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 :
258064794122907441246744821/250000000000000000000000000 235030002373119374425192807/1000000000000000000000000000 -637306024445452835895158207/1000000000000000000000000000 389235902183582254814719697/1000000000000000000000000000 -20497772250501402745834929/62500000000000000000000000 343874883212452557093075797/1000000000000000000000000000 103174997794141194855035901/500000000000000000000000000 -1091724991167120227019663/2000000000000000000000000 -1460170872056397106318758259/1000000000000000000000000000
235030002373119374425192807/1000000000000000000000000000 54592996340438479448813777/1000000000000000000000000000 -128372377103052946662543889/1000000000000000000000000000 45849861079279530579033551/500000000000000000000000000 -19772529351312475839423753/250000000000000000000000000 22096173771262612796711261/500000000000000000000000000 64379456653765020102327213/1000000000000000000000000000 -117228791655823378814212047/1000000000000000000000000000 -343220849507327094617131217/1000000000000000000000000000
-637306024445452835895158207/1000000000000000000000000000 -128372377103052946662543889/1000000000000000000000000000 130533551864217472237635997/200000000000000000000000000 -96326318187848475390507787/500000000000000000000000000 33512742134682202524588273/250000000000000000000000000 -370291349130329227566331417/500000000000000000000000000 142088491215714374434463643/1000000000000000000000000000 446311638970526193196269351/1000000000000000000000000000 734786907246358871666369137/1000000000000000000000000000
389235902183582254814719697/1000000000000000000000000000 45849861079279530579033551/500000000000000000000000000 -96326318187848475390507787/500000000000000000000000000 155532358755747964549801727/1000000000000000000000000000 -34062002616328034113308663/250000000000000000000000000 32534898516213349473874247/1000000000000000000000000000 127357374383083888776381393/1000000000000000000000000000 -185732854444092751385495457/1000000000000000000000000000 -290620319257425591216692141/500000000000000000000000000
-20497772250501402745834929/62500000000000000000000000 -19772529351312475839423753/250000000000000000000000000 33512742134682202524588273/250000000000000000000000000 -34062002616328034113308663/250000000000000000000000000 1910396519920333273997721/15625000000000000000000000 7553571869342629117788237/250000000000000000000000000 -17088331235119890416974959/125000000000000000000000000 1807155399610687554617751/12500000000000000000000000 126982526763330258540973341/250000000000000000000000000
343874883212452557093075797/1000000000000000000000000000 22096173771262612796711261/500000000000000000000000000 -370291349130329227566331417/500000000000000000000000000 32534898516213349473874247/1000000000000000000000000000 7553571869342629117788237/250000000000000000000000000 1191235716521394307305675167/1000000000000000000000000000 -480498991410209800406388867/1000000000000000000000000000 -404609974618206788579012997/1000000000000000000000000000 -73329443158407658766495291/500000000000000000000000000
103174997794141194855035901/500000000000000000000000000 64379456653765020102327213/1000000000000000000000000000 142088491215714374434463643/1000000000000000000000000000 127357374383083888776381393/1000000000000000000000000000 -17088331235119890416974959/125000000000000000000000000 -480498991410209800406388867/1000000000000000000000000000 16071485835446093613865353/50000000000000000000000000 2260149323055610820363343/500000000000000000000000000 -465212400081124694257536297/1000000000000000000000000000
-1091724991167120227019663/2000000000000000000000000 -117228791655823378814212047/1000000000000000000000000000 446311638970526193196269351/1000000000000000000000000000 -185732854444092751385495457/1000000000000000000000000000 1807155399610687554617751/12500000000000000000000000 -404609974618206788579012997/1000000000000000000000000000 2260149323055610820363343/500000000000000000000000000 83686306613427891305103681/250000000000000000000000000 140369114233059580688101599/200000000000000000000000000
-1460170872056397106318758259/1000000000000000000000000000 -343220849507327094617131217/1000000000000000000000000000 734786907246358871666369137/1000000000000000000000000000 -290620319257425591216692141/500000000000000000000000000 126982526763330258540973341/250000000000000000000000000 -73329443158407658766495291/500000000000000000000000000 -465212400081124694257536297/1000000000000000000000000000 140369114233059580688101599/200000000000000000000000000 2172687607290215075465502209/1000000000000000000000000000


--- 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 :
61815949840537860757094981/250000000000000000000000000 -142950351087311519/500000000000000000000000000 -157093371954249088671931091/500000000000000000000000000 19636671420600594429323543/62500000000000000000000000 157093371755358878962385581/500000000000000000000000000 54837776922709339470573301/125000000000000000000000000 -50826911612407899/62500000000000000000000000
-142950351087311519/500000000000000000000000000 20439994939072211627155629/1000000000000000000000000000 7568479627485857534277557/1000000000000000000000000000 -1892119329146458072736811/250000000000000000000000000 7568476549702675596837501/1000000000000000000000000000 -67618937841811861/125000000000000000000000000 63791073266603189910154387/500000000000000000000000000
-157093371954249088671931091/500000000000000000000000000 7568479627485857534277557/1000000000000000000000000000 1234329488259284339490978929/1000000000000000000000000000 13446228255565097040656269/31250000000000000000000000 -1228724607270860322998576911/1000000000000000000000000000 -139359684489248464159848829/250000000000000000000000000 2952553037546591498637093/62500000000000000000000000
19636671420600594429323543/62500000000000000000000000 -1892119329146458072736811/250000000000000000000000000 13446228255565097040656269/31250000000000000000000000 308582371903738076222376141/250000000000000000000000000 -54485523057187673491964127/125000000000000000000000000 139359684654696842758386367/250000000000000000000000000 -23620424198082270731818097/500000000000000000000000000
157093371755358878962385581/500000000000000000000000000 7568476549702675596837501/1000000000000000000000000000 -1228724607270860322998576911/1000000000000000000000000000 -54485523057187673491964127/125000000000000000000000000 1234329486509535774909824001/1000000000000000000000000000 139359684306571301537148241/250000000000000000000000000 11810211519454351618743167/250000000000000000000000000
54837776922709339470573301/125000000000000000000000000 -67618937841811861/125000000000000000000000000 -139359684489248464159848829/250000000000000000000000000 139359684654696842758386367/250000000000000000000000000 139359684306571301537148241/250000000000000000000000000 194589376080590368559175321/250000000000000000000000000 -826597904455721251/500000000000000000000000000
-50826911612407899/62500000000000000000000000 63791073266603189910154387/500000000000000000000000000 2952553037546591498637093/62500000000000000000000000 -23620424198082270731818097/500000000000000000000000000 11810211519454351618743167/250000000000000000000000000 -826597904455721251/500000000000000000000000000 796340907252660104376629761/1000000000000000000000000000


--- 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 :
36365223296882443441579083/20000000000000000000000000 96080556854323598735375367/100000000000000000000000000 -38576461808589886024577723/10000000000000000000000000 113487999062622882634623017/100000000000000000000000000 255034722234163829748605591/100000000000000000000000000 -9458808779553014082311877/12500000000000000000000000 -261183465574744620514269/2500000000000000000000000 -44224493182473530662810021/50000000000000000000000000 8342517387456460643206947/6250000000000000000000000 87090781175683823131452381/100000000000000000000000000 -35887780188411086273678243/100000000000000000000000000 -26184639940079269797298451/25000000000000000000000000
96080556854323598735375367/100000000000000000000000000 378214277886760677813839753/500000000000000000000000000 -92575509893350664195397303/50000000000000000000000000 118819814858207405423731033/500000000000000000000000000 273233849920116602455264409/500000000000000000000000000 -63553517115357362348675753/62500000000000000000000000 31468868847894520337357281/50000000000000000000000000 6149498176974271803702461/250000000000000000000000000 13078758471527178046745299/15625000000000000000000000 227779672577474334867726489/500000000000000000000000000 -180475843834718945498126847/500000000000000000000000000 -53683734387167976408199407/62500000000000000000000000
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8342517387456460643206947/6250000000000000000000000 13078758471527178046745299/15625000000000000000000000 -637837425457559640755163857/200000000000000000000000000 73546373303103354040505487/125000000000000000000000000 1664775886715251382238800783/1000000000000000000000000000 -1073653646753953689736037063/1000000000000000000000000000 57715847763403444272155927/100000000000000000000000000 -196398894922159972525015093/500000000000000000000000000 1322413622139086819535771841/1000000000000000000000000000 799474480716332802295765143/1000000000000000000000000000 -513088066122440296240423189/1000000000000000000000000000 -1229716419248863693357276297/1000000000000000000000000000
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-26184639940079269797298451/25000000000000000000000000 -53683734387167976408199407/62500000000000000000000000 498547202667581592420496713/200000000000000000000000000 -9431710733934392896437137/62500000000000000000000000 -722745739694443726727777591/1000000000000000000000000000 1403567716723278537113968831/1000000000000000000000000000 -110004718687423696930576419/100000000000000000000000000 -45184150606246000830253619/500000000000000000000000000 -1229716419248863693357276297/1000000000000000000000000000 -674225757902103609523242551/1000000000000000000000000000 591362849869885515395783733/1000000000000000000000000000 1306398118291310419212157089/1000000000000000000000000000


--- 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 :
108350744813528828821357543/62500000000000000000000000 35537960988210076954432923/25000000000000000000000000 -28601332553468124377157357/125000000000000000000000000 -159854542778817095411796007/125000000000000000000000000
35537960988210076954432923/25000000000000000000000000 291851542513453391638134327/250000000000000000000000000 -35912539746376954848099063/250000000000000000000000000 -253219166278251342069456987/250000000000000000000000000
-28601332553468124377157357/125000000000000000000000000 -35912539746376954848099063/250000000000000000000000000 221255456124312274153546193/200000000000000000000000000 521702721310311038027538467/500000000000000000000000000
-159854542778817095411796007/125000000000000000000000000 -253219166278251342069456987/250000000000000000000000000 521702721310311038027538467/500000000000000000000000000 2584744849759505735808497/1562500000000000000000000


--- 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 :
821678971933393213132361993/250000000000000000000000000 -8086650690043257807475579/250000000000000000000000000 95442349248296713788432187/250000000000000000000000000 -42428654646035271855828951/25000000000000000000000000 97402647592816182704357269/500000000000000000000000000 33095917172299774625554019/100000000000000000000000000
-8086650690043257807475579/250000000000000000000000000 2991240375068546594200497/250000000000000000000000000 -2217330145166500919149841/250000000000000000000000000 658611522830411565947509/25000000000000000000000000 -192602021296799339127647/500000000000000000000000000 -860212770110633558708021/20000000000000000000000000
95442349248296713788432187/250000000000000000000000000 -2217330145166500919149841/250000000000000000000000000 11647099791865574463037073/250000000000000000000000000 -5034114869336083624751877/25000000000000000000000000 10977609504264423204045791/500000000000000000000000000 1117835699564802040070453/20000000000000000000000000
-42428654646035271855828951/25000000000000000000000000 658611522830411565947509/25000000000000000000000000 -5034114869336083624751877/25000000000000000000000000 11054119455596981558622293/12500000000000000000000000 -4966121124952117993174827/50000000000000000000000000 -10190312049911746045232529/50000000000000000000000000
97402647592816182704357269/500000000000000000000000000 -192602021296799339127647/500000000000000000000000000 10977609504264423204045791/500000000000000000000000000 -4966121124952117993174827/50000000000000000000000000 11747725856126740161436337/1000000000000000000000000000 2877389620168699369935079/200000000000000000000000000
33095917172299774625554019/100000000000000000000000000 -860212770110633558708021/20000000000000000000000000 1117835699564802040070453/20000000000000000000000000 -10190312049911746045232529/50000000000000000000000000 2877389620168699369935079/200000000000000000000000000 33803395724425948400960197/200000000000000000000000000


--- 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 :
162801813795086599400692911/250000000000000000000000000 -130225877706015978927280361/200000000000000000000000000 -77867245696072165167/2000000000000000000000000 -222512247357517930856727847/1000000000000000000000000000 222512249014895345667362813/1000000000000000000000000000 -55628062096702399549174559/250000000000000000000000000 2223819483320768195046827/1000000000000000000000000000 -102794946784346169926477369/500000000000000000000000000 25344201650378413003191531/125000000000000000000000000 709070102433729117507693/500000000000000000000000000
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--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

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

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

Matrix :
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--- Term 19 ---

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

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

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

Matrix :
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