#Density : 6563319435005401786969353769/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 10, 11, 12, 13, 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 :
38623031575124898100725663/1000000000000000000000000000 12953934361862738540867227/200000000000000000000000000 -697984493483904172750277/10000000000000000000000000 -10968180889806073886065779/250000000000000000000000000 1910098558374902616810327/500000000000000000000000000 30884196172349639364001453/500000000000000000000000000
12953934361862738540867227/200000000000000000000000000 889722933070274229717960751/1000000000000000000000000000 -137681300219580725771591861/250000000000000000000000000 -118722042932634784382129723/250000000000000000000000000 73335087438007854164263103/500000000000000000000000000 118620647838844189689672037/500000000000000000000000000
-697984493483904172750277/10000000000000000000000000 -137681300219580725771591861/250000000000000000000000000 45864645686715371941135167/125000000000000000000000000 9440570055525229662638749/31250000000000000000000000 -21194787758214829611120961/250000000000000000000000000 -23229205264699834351805397/125000000000000000000000000
-10968180889806073886065779/250000000000000000000000000 -118722042932634784382129723/250000000000000000000000000 9440570055525229662638749/31250000000000000000000000 16001414122968356918128281/62500000000000000000000000 -191009669353596510525969/2500000000000000000000000 -3470857490258929860981377/25000000000000000000000000
1910098558374902616810327/500000000000000000000000000 73335087438007854164263103/500000000000000000000000000 -21194787758214829611120961/250000000000000000000000000 -191009669353596510525969/2500000000000000000000000 12782567519112790820771679/500000000000000000000000000 7527621750629794603715863/250000000000000000000000000
30884196172349639364001453/500000000000000000000000000 118620647838844189689672037/500000000000000000000000000 -23229205264699834351805397/125000000000000000000000000 -3470857490258929860981377/25000000000000000000000000 7527621750629794603715863/250000000000000000000000000 30413620393569790606123647/250000000000000000000000000


--- 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 :
4530728866109955639450793/25000000000000000000000000 -448168327099298322066209/5000000000000000000000000 1759488790459980818351971/25000000000000000000000000 -888323836253980875003321/6250000000000000000000000 31378869677013355931049/12500000000000000000000000 -41563275335910480697127/12500000000000000000000000
-448168327099298322066209/5000000000000000000000000 44331685993701026707417/1000000000000000000000000 -174044214755110067862923/5000000000000000000000000 87870764148859517335473/1250000000000000000000000 -3103919026054710242337/2500000000000000000000000 4111334870509654152751/2500000000000000000000000
1759488790459980818351971/25000000000000000000000000 -174044214755110067862923/5000000000000000000000000 683289796242509189413537/25000000000000000000000000 -344976686616266552691987/6250000000000000000000000 12185847152979843746403/12500000000000000000000000 -16140916662515973168269/12500000000000000000000000
-888323836253980875003321/6250000000000000000000000 87870764148859517335473/1250000000000000000000000 -344976686616266552691987/6250000000000000000000000 174170483685226640852937/1562500000000000000000000 -6152342970090617056953/3125000000000000000000000 8149163034197866160919/3125000000000000000000000
31378869677013355931049/12500000000000000000000000 -3103919026054710242337/2500000000000000000000000 12185847152979843746403/12500000000000000000000000 -6152342970090617056953/3125000000000000000000000 217323413363374796457/6250000000000000000000000 -287858452504384937511/6250000000000000000000000
-41563275335910480697127/12500000000000000000000000 4111334870509654152751/2500000000000000000000000 -16140916662515973168269/12500000000000000000000000 8149163034197866160919/3125000000000000000000000 -287858452504384937511/6250000000000000000000000 381286523139912799753/6250000000000000000000000


--- 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 :
192772700667539876879229419/125000000000000000000000000 61122578853411285168087297/250000000000000000000000000 505852025188095360152216727/1000000000000000000000000000 -76128426874588850297021141/200000000000000000000000000 -182291955097534556328034433/500000000000000000000000000 75737102534282536259190293/1000000000000000000000000000 107504817189476709530846631/500000000000000000000000000 -92530415322671490514625567/200000000000000000000000000 -431827449667047587409703417/1000000000000000000000000000 -189782560433557793049252247/1000000000000000000000000000 -378224083347403054374998541/1000000000000000000000000000 -174018144004642260904108497/500000000000000000000000000
61122578853411285168087297/250000000000000000000000000 20741772800590628544090253/500000000000000000000000000 39325022296862361600672211/500000000000000000000000000 -26044568948101427720693219/500000000000000000000000000 -8772540780236073562434687/100000000000000000000000000 23483219614822019071691523/500000000000000000000000000 20389671659417515782029349/250000000000000000000000000 -958808547673393874539933/10000000000000000000000000 -34799247386717975939376391/500000000000000000000000000 -12325437775104823688717583/500000000000000000000000000 -4576055660161679605495459/50000000000000000000000000 -30487509683890701632581503/500000000000000000000000000
505852025188095360152216727/1000000000000000000000000000 39325022296862361600672211/500000000000000000000000000 23859366793450483784051993/62500000000000000000000000 -232921405492773375267912833/1000000000000000000000000000 -102604643424605678391449983/1000000000000000000000000000 614060405957739546611051/125000000000000000000000000 21792702255322596169671833/500000000000000000000000000 -34948867484952622417080671/250000000000000000000000000 -1866100747055637770560187/8000000000000000000000000 -17521173262817543301267627/125000000000000000000000000 -53075952400907742065748317/500000000000000000000000000 -24520958000263480163092103/200000000000000000000000000
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-174018144004642260904108497/500000000000000000000000000 -30487509683890701632581503/500000000000000000000000000 -24520958000263480163092103/200000000000000000000000000 3311565116655641834910287/40000000000000000000000000 14600518391825345159562387/100000000000000000000000000 -310948617373870956576879819/1000000000000000000000000000 -37403393317044046228291857/250000000000000000000000000 104966991448406891571013703/1000000000000000000000000000 92931185386288098318772613/1000000000000000000000000000 -10424023443510333340500557/1000000000000000000000000000 152561449628128775476552661/1000000000000000000000000000 221558160674503529759287627/500000000000000000000000000


--- 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 :
469381157956260433787753381/500000000000000000000000000 424305679649954090807590713/500000000000000000000000000 8875361935985062589738487/7812500000000000000000000 1689220951848837945809311/62500000000000000000000000
424305679649954090807590713/500000000000000000000000000 420276163487225594368285947/200000000000000000000000000 1349673857119880569574132583/1000000000000000000000000000 16780935394652204088964359/31250000000000000000000000
8875361935985062589738487/7812500000000000000000000 1349673857119880569574132583/1000000000000000000000000000 2623523791871550247311367453/1000000000000000000000000000 3003472968994132030200351/6250000000000000000000000
1689220951848837945809311/62500000000000000000000000 16780935394652204088964359/31250000000000000000000000 3003472968994132030200351/6250000000000000000000000 120620721891691780728768109/62500000000000000000000000


--- 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 :
2384625475989102364962914447/500000000000000000000000000 -319650608530809651588185899/200000000000000000000000000 507967782204343360293370497/200000000000000000000000000 493931332774051978829380553/500000000000000000000000000 -109442713715771068584977841/1000000000000000000000000000 112915344520249723326477347/62500000000000000000000000 -4666902235784441335331262163/1000000000000000000000000000 -173450276588725533273658113/1000000000000000000000000000 1123841821611083879781885623/1000000000000000000000000000 -115519976460503841210628311/500000000000000000000000000
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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 :
525468794076988036342063949/1000000000000000000000000000 3748019857120322293835243/125000000000000000000000000 21487891695214089469618511/250000000000000000000000000 2241872717312040573814753/100000000000000000000000000 0/1 -1219907167379129661843257/40000000000000000000000000
3748019857120322293835243/125000000000000000000000000 1133558119276537801885794541/1000000000000000000000000000 89557779718991529589762361/500000000000000000000000000 11699746589852150990713579/1000000000000000000000000000 0/1 -1802497363412161593819743/200000000000000000000000000
21487891695214089469618511/250000000000000000000000000 89557779718991529589762361/500000000000000000000000000 754711552745060602389295977/500000000000000000000000000 85782676599115378523793099/1000000000000000000000000000 0/1 56439502331282140073073629/1000000000000000000000000000
2241872717312040573814753/100000000000000000000000000 11699746589852150990713579/1000000000000000000000000000 85782676599115378523793099/1000000000000000000000000000 281378041664820065300461481/1000000000000000000000000000 0/1 444661913364219234315739/100000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-1219907167379129661843257/40000000000000000000000000 -1802497363412161593819743/200000000000000000000000000 56439502331282140073073629/1000000000000000000000000000 444661913364219234315739/100000000000000000000000000 0/1 60215151766513759199979741/250000000000000000000000000


--- 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 :
872806277207605188421339303/1000000000000000000000000000 -671575409392673811789344133/1000000000000000000000000000 70665181410979896456820599/1000000000000000000000000000 -90282009312862591852349469/1000000000000000000000000000 -1976844898317746414017261/25000000000000000000000000 650476825009679915687032453/500000000000000000000000000 138859333236909075746367677/1000000000000000000000000000 -319629674198228563120385731/1000000000000000000000000000 42303453269883442452004947/1000000000000000000000000000
-671575409392673811789344133/1000000000000000000000000000 20235361752525474073479629/20000000000000000000000000 -5167975589632891162393969/25000000000000000000000000 899118635533769953257557/10000000000000000000000000 59564675643683347976134209/500000000000000000000000000 -391992728739876476836529181/200000000000000000000000000 -209199800766545949841756453/1000000000000000000000000000 481541014733197337556010619/1000000000000000000000000000 -63732654677188432583824737/1000000000000000000000000000
70665181410979896456820599/1000000000000000000000000000 -5167975589632891162393969/25000000000000000000000000 176764136767735896823299023/500000000000000000000000000 -33201173708932484180809867/500000000000000000000000000 -486797388757423211824719/20000000000000000000000000 400449248611756402417224213/1000000000000000000000000000 42742580017385369308059511/1000000000000000000000000000 -98385874654292928130853357/1000000000000000000000000000 13021513793166847739376531/1000000000000000000000000000
-90282009312862591852349469/1000000000000000000000000000 899118635533769953257557/10000000000000000000000000 -33201173708932484180809867/500000000000000000000000000 43742774715854858648717363/500000000000000000000000000 5293279229605320437748489/500000000000000000000000000 -174174285458675053045922307/1000000000000000000000000000 -18590766166237152930180197/1000000000000000000000000000 42792662192681955527136727/1000000000000000000000000000 -5663671182606665188147281/1000000000000000000000000000
-1976844898317746414017261/25000000000000000000000000 59564675643683347976134209/500000000000000000000000000 -486797388757423211824719/20000000000000000000000000 5293279229605320437748489/500000000000000000000000000 1753341812184011212386491/125000000000000000000000000 -115386717705499049321524717/500000000000000000000000000 -3078995678401277869082437/125000000000000000000000000 14174609133505252472507023/250000000000000000000000000 -93801508225663943609769/12500000000000000000000000
650476825009679915687032453/500000000000000000000000000 -391992728739876476836529181/200000000000000000000000000 400449248611756402417224213/1000000000000000000000000000 -174174285458675053045922307/1000000000000000000000000000 -115386717705499049321524717/500000000000000000000000000 3796776683909717094043874839/1000000000000000000000000000 101313732066196248554891923/250000000000000000000000000 -233206327954424665234536977/250000000000000000000000000 61730394351930414272809797/500000000000000000000000000
138859333236909075746367677/1000000000000000000000000000 -209199800766545949841756453/1000000000000000000000000000 42742580017385369308059511/1000000000000000000000000000 -18590766166237152930180197/1000000000000000000000000000 -3078995678401277869082437/125000000000000000000000000 101313732066196248554891923/250000000000000000000000000 8651104373817381256118059/200000000000000000000000000 -99566576150320229038822573/1000000000000000000000000000 13177781374851760060928553/1000000000000000000000000000
-319629674198228563120385731/1000000000000000000000000000 481541014733197337556010619/1000000000000000000000000000 -98385874654292928130853357/1000000000000000000000000000 42792662192681955527136727/1000000000000000000000000000 14174609133505252472507023/250000000000000000000000000 -233206327954424665234536977/250000000000000000000000000 -99566576150320229038822573/1000000000000000000000000000 229184683433037589835669339/1000000000000000000000000000 -30332926665927800680214559/1000000000000000000000000000
42303453269883442452004947/1000000000000000000000000000 -63732654677188432583824737/1000000000000000000000000000 13021513793166847739376531/1000000000000000000000000000 -5663671182606665188147281/1000000000000000000000000000 -93801508225663943609769/12500000000000000000000000 61730394351930414272809797/500000000000000000000000000 13177781374851760060928553/1000000000000000000000000000 -30332926665927800680214559/1000000000000000000000000000 4014607024947117239097183/1000000000000000000000000000


--- 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 :
199073208028400613513961239/250000000000000000000000000 161655901641266751/200000000000000000000000000 19901287212727951112215307/1000000000000000000000000000 -19901287702228305796255041/1000000000000000000000000000 -1243830386047127744039499/62500000000000000000000000 -633067462293345395190246751/500000000000000000000000000 -250593780423530509/250000000000000000000000000
161655901641266751/200000000000000000000000000 583690106866642813330639869/1000000000000000000000000000 -1719633171506999958574439/500000000000000000000000000 3439266231623893719727317/1000000000000000000000000000 -1719633641326025803819911/500000000000000000000000000 -308245225004257849/200000000000000000000000000 1714837094244839849374757/40000000000000000000000000
19901287212727951112215307/1000000000000000000000000000 -1719633171506999958574439/500000000000000000000000000 1274308815054248443715148573/1000000000000000000000000000 -126486827780127678804858017/250000000000000000000000000 -6279474733064942067650401/25000000000000000000000000 -31643777440958270009562109/1000000000000000000000000000 74855061231945920219453603/1000000000000000000000000000
-19901287702228305796255041/1000000000000000000000000000 3439266231623893719727317/1000000000000000000000000000 -126486827780127678804858017/250000000000000000000000000 1274308813424116031294479503/1000000000000000000000000000 -129295628788690374339819519/250000000000000000000000000 31643778944913922982159369/1000000000000000000000000000 -14971012340728793018803129/200000000000000000000000000
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-633067462293345395190246751/500000000000000000000000000 -308245225004257849/200000000000000000000000000 -31643777440958270009562109/1000000000000000000000000000 31643778944913922982159369/1000000000000000000000000000 3955472153320189225870391/125000000000000000000000000 503300288099742867780072977/250000000000000000000000000 822123968026780617/500000000000000000000000000
-250593780423530509/250000000000000000000000000 1714837094244839849374757/40000000000000000000000000 74855061231945920219453603/1000000000000000000000000000 -14971012340728793018803129/200000000000000000000000000 9356882778008573277524629/125000000000000000000000000 822123968026780617/500000000000000000000000000 40511992510198045144535521/250000000000000000000000000


--- 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 :
862284913681716602785810481/500000000000000000000000000 -57915990685861447962248587/250000000000000000000000000 -77906448912163499049971871/500000000000000000000000000 -36866883361531401716744829/1000000000000000000000000000 627998583149860100199481239/1000000000000000000000000000 -96359928408013262196280699/1000000000000000000000000000 -64555671578006529235545693/200000000000000000000000000 -8669209413206332226266987/100000000000000000000000000 18513108236949249929780897/1000000000000000000000000000 107414901375589626108959529/1000000000000000000000000000 -65732050651541872148662033/500000000000000000000000000 -480492781780510848917897507/1000000000000000000000000000
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18513108236949249929780897/1000000000000000000000000000 -1777583316421206928242421/40000000000000000000000000 -18830037888564224187389219/200000000000000000000000000 -14143113914383667313223119/500000000000000000000000000 544988605097969232734015417/1000000000000000000000000000 -75388964969058554010380369/1000000000000000000000000000 -284338043225285759994547963/1000000000000000000000000000 -15798786198496600129312699/200000000000000000000000000 37869248213271898182603641/250000000000000000000000000 88599244540274690661907011/1000000000000000000000000000 -821470346601262453040113/250000000000000000000000000 -5675012064781428877420733/100000000000000000000000000
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-480492781780510848917897507/1000000000000000000000000000 -35965394533008998218545733/200000000000000000000000000 -9012639470593483195031383/250000000000000000000000000 9305539065023631937466219/500000000000000000000000000 -43372942188752432274950263/200000000000000000000000000 11583572337457694517738521/250000000000000000000000000 104763185405102527536532011/1000000000000000000000000000 299655077589442568240649/12500000000000000000000000 -5675012064781428877420733/100000000000000000000000000 -8883230496373328660806027/200000000000000000000000000 -10439019247715956440479983/62500000000000000000000000 737234959492610178816603199/1000000000000000000000000000


--- 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 :
509211293320723193559839003/125000000000000000000000000 25448419462303960972959933/100000000000000000000000000 -10877088714421054404786533/100000000000000000000000000 100869840315735106611625601/250000000000000000000000000
25448419462303960972959933/100000000000000000000000000 689185896275950316420461417/1000000000000000000000000000 459129794977579144069722867/1000000000000000000000000000 546344902708746693255935723/500000000000000000000000000
-10877088714421054404786533/100000000000000000000000000 459129794977579144069722867/1000000000000000000000000000 1510375684058041827141082661/1000000000000000000000000000 45496292122651032271818557/62500000000000000000000000
100869840315735106611625601/250000000000000000000000000 546344902708746693255935723/500000000000000000000000000 45496292122651032271818557/62500000000000000000000000 1732436803067213487638960081/1000000000000000000000000000


--- 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 :
1467697382721237300682283453/1000000000000000000000000000 -211425443926343158946007209/1000000000000000000000000000 -272020525886634498189845391/1000000000000000000000000000 -432652124032467122267189729/250000000000000000000000000 660786547634369256106266149/1000000000000000000000000000 13998756626985225465898461/40000000000000000000000000
-211425443926343158946007209/1000000000000000000000000000 70424412976495783005190073/1000000000000000000000000000 23198188592173352374279587/1000000000000000000000000000 62324610281972670478537721/250000000000000000000000000 -95187939158091601827868289/1000000000000000000000000000 -50413889287214849751343227/1000000000000000000000000000
-272020525886634498189845391/1000000000000000000000000000 23198188592173352374279587/1000000000000000000000000000 120829527594498897803007093/1000000000000000000000000000 80187005639782648987446279/250000000000000000000000000 -122469050017959792050362071/1000000000000000000000000000 -64862641057035166481205783/1000000000000000000000000000
-432652124032467122267189729/250000000000000000000000000 62324610281972670478537721/250000000000000000000000000 80187005639782648987446279/250000000000000000000000000 510153830438105453865905117/250000000000000000000000000 -1217428685963284609047101/1562500000000000000000000 -206329719592784524611755961/500000000000000000000000000
660786547634369256106266149/1000000000000000000000000000 -95187939158091601827868289/1000000000000000000000000000 -122469050017959792050362071/1000000000000000000000000000 -1217428685963284609047101/1562500000000000000000000 297499243832528004303981041/1000000000000000000000000000 157562965152405366155423919/1000000000000000000000000000
13998756626985225465898461/40000000000000000000000000 -50413889287214849751343227/1000000000000000000000000000 -64862641057035166481205783/1000000000000000000000000000 -206329719592784524611755961/500000000000000000000000000 157562965152405366155423919/1000000000000000000000000000 83449247358737892347825139/1000000000000000000000000000


--- 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 :
1644873388466794460088812831/1000000000000000000000000000 -779343434104995470074337971/500000000000000000000000000 -10773314938129649120466249/250000000000000000000000000 -285932226899433013778539923/1000000000000000000000000000 285932229269069043345426077/1000000000000000000000000000 -285932227104797785120829453/1000000000000000000000000000 0/1 0/1 0/1 0/1
-779343434104995470074337971/500000000000000000000000000 1644873385605159680765962941/1000000000000000000000000000 -21546630192755230260228799/500000000000000000000000000 285932226994989124441805397/1000000000000000000000000000 -17870764298753320675670187/62500000000000000000000000 285932226017222498022128371/1000000000000000000000000000 0/1 0/1 0/1 0/1
-10773314938129649120466249/250000000000000000000000000 -21546630192755230260228799/500000000000000000000000000 411218346912945237659028621/250000000000000000000000000 -142966113377150871574620013/500000000000000000000000000 1143728909368084371046051/4000000000000000000000000 142966114167891345425031197/500000000000000000000000000 0/1 0/1 0/1 0/1
-285932226899433013778539923/1000000000000000000000000000 285932226994989124441805397/1000000000000000000000000000 -142966113377150871574620013/500000000000000000000000000 7555588729406096519642657/6250000000000000000000000 -278438299620563101998117569/1000000000000000000000000000 -116306987443222724572136627/250000000000000000000000000 0/1 0/1 0/1 0/1
285932229269069043345426077/1000000000000000000000000000 -17870764298753320675670187/62500000000000000000000000 1143728909368084371046051/4000000000000000000000000 -278438299620563101998117569/1000000000000000000000000000 1208894198113381785265499273/1000000000000000000000000000 -93045589890004579105772251/200000000000000000000000000 0/1 0/1 0/1 0/1
-285932227104797785120829453/1000000000000000000000000000 285932226017222498022128371/1000000000000000000000000000 142966114167891345425031197/500000000000000000000000000 -116306987443222724572136627/250000000000000000000000000 -93045589890004579105772251/200000000000000000000000000 604447099368429120586498201/500000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 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 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 :
23874575281449468784014263/1000000000000000000000000000 -13104108871098541006298933/1000000000000000000000000000 -28183225432877622412889/4000000000000000000000000 -247027447673842932707869/25000000000000000000000000 295176711476622551751741/25000000000000000000000000 -592701410228857994118159/15625000000000000000000000
-13104108871098541006298933/1000000000000000000000000000 1798122765340123238377181/250000000000000000000000000 483406576422560528703673/125000000000000000000000000 5423467476999398285086891/1000000000000000000000000000 -6480580593679324502571993/1000000000000000000000000000 20820337862870981275027317/1000000000000000000000000000
-28183225432877622412889/4000000000000000000000000 483406576422560528703673/125000000000000000000000000 129958822964114377250621/62500000000000000000000000 1458042752028989765609387/500000000000000000000000000 -1742236612946069463178281/500000000000000000000000000 5597330972197379011727277/500000000000000000000000000
-247027447673842932707869/25000000000000000000000000 5423467476999398285086891/1000000000000000000000000000 1458042752028989765609387/500000000000000000000000000 55637861252450693475894941/1000000000000000000000000000 -19588724775185281241670183/1000000000000000000000000000 15699487756783122578612031/1000000000000000000000000000
295176711476622551751741/25000000000000000000000000 -6480580593679324502571993/1000000000000000000000000000 -1742236612946069463178281/500000000000000000000000000 -19588724775185281241670183/1000000000000000000000000000 102120547282384521202236429/1000000000000000000000000000 -18759547595807662562153673/1000000000000000000000000000
-592701410228857994118159/15625000000000000000000000 20820337862870981275027317/1000000000000000000000000000 5597330972197379011727277/500000000000000000000000000 15699487756783122578612031/1000000000000000000000000000 -18759547595807662562153673/1000000000000000000000000000 60269309343027950924357583/1000000000000000000000000000


--- 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 :
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 122531286089596124063381231/500000000000000000000000000 -122531286089596124063381231/500000000000000000000000000 121326392715637369/500000000000000000000000000 -17902737742952571/62500000000000000000000000 -1306263093401891654106017/100000000000000000000000000 6531315132982223127866107/500000000000000000000000000 -6531315144776253928772747/500000000000000000000000000
0/1 0/1 0/1 -122531286089596124063381231/500000000000000000000000000 122531286089596124063381231/500000000000000000000000000 -121326392715637369/500000000000000000000000000 17902737742952571/62500000000000000000000000 1306263093401891654106017/100000000000000000000000000 -6531315132982223127866107/500000000000000000000000000 6531315144776253928772747/500000000000000000000000000
0/1 0/1 0/1 121326392715637369/500000000000000000000000000 -121326392715637369/500000000000000000000000000 4901251435864709699656361/20000000000000000000000000 1128487346563673/40000000000000000000000000 -326565749728637886829099/25000000000000000000000000 13062629973422924737207061/1000000000000000000000000000 6531315088056407089276797/500000000000000000000000000
0/1 0/1 0/1 -17902737742952571/62500000000000000000000000 17902737742952571/62500000000000000000000000 1128487346563673/40000000000000000000000000 60858653592111123501087553/1000000000000000000000000000 -335228747652562068394807/200000000000000000000000000 -419035874601558257283133/250000000000000000000000000 83807169013200760623311/50000000000000000000000000
0/1 0/1 0/1 -1306263093401891654106017/100000000000000000000000000 1306263093401891654106017/100000000000000000000000000 -326565749728637886829099/25000000000000000000000000 -335228747652562068394807/200000000000000000000000000 291970418097775443015251281/500000000000000000000000000 -11253478158493905159373401/40000000000000000000000000 -151301942110560764418384613/1000000000000000000000000000
0/1 0/1 0/1 6531315132982223127866107/500000000000000000000000000 -6531315132982223127866107/500000000000000000000000000 13062629973422924737207061/1000000000000000000000000000 -419035874601558257283133/250000000000000000000000000 -11253478158493905159373401/40000000000000000000000000 23357633446742100583946921/40000000000000000000000000 -30260388200335828051106311/200000000000000000000000000
0/1 0/1 0/1 -6531315144776253928772747/500000000000000000000000000 6531315144776253928772747/500000000000000000000000000 6531315088056407089276797/500000000000000000000000000 83807169013200760623311/50000000000000000000000000 -151301942110560764418384613/1000000000000000000000000000 -30260388200335828051106311/200000000000000000000000000 116788167372073954157578113/200000000000000000000000000

