#Density : 3300169163252912632483694273/19200000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 11, 12, 14}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
565723996470143536883503/10000000000000000000000000 -10316263486697705811102923/100000000000000000000000000 7924439365390281764363287/100000000000000000000000000 -33371848161122165170011/20000000000000000000000000 12083942725731649253569007/100000000000000000000000000 120968674257163982548121/25000000000000000000000000
-10316263486697705811102923/100000000000000000000000000 190859925093513224421550753/1000000000000000000000000000 -149196165180426513934935917/1000000000000000000000000000 1116031338278673113877693/200000000000000000000000000 -193804714389747852660044077/1000000000000000000000000000 -3811232684241355153706543/125000000000000000000000000
7924439365390281764363287/100000000000000000000000000 -149196165180426513934935917/1000000000000000000000000000 119037137789170943918744873/1000000000000000000000000000 -1336850290986243466810409/200000000000000000000000000 123779220329534961508428553/1000000000000000000000000000 5486931308593565290875517/125000000000000000000000000
-33371848161122165170011/20000000000000000000000000 1116031338278673113877693/200000000000000000000000000 -1336850290986243466810409/200000000000000000000000000 480202386134693894174597/200000000000000000000000000 4209163592464435325314343/200000000000000000000000000 -252801438189711247139583/12500000000000000000000000
12083942725731649253569007/100000000000000000000000000 -193804714389747852660044077/1000000000000000000000000000 123779220329534961508428553/1000000000000000000000000000 4209163592464435325314343/200000000000000000000000000 515641091605718773710008393/1000000000000000000000000000 -24975313560077869996283413/125000000000000000000000000
120968674257163982548121/25000000000000000000000000 -3811232684241355153706543/125000000000000000000000000 5486931308593565290875517/125000000000000000000000000 -252801438189711247139583/12500000000000000000000000 -24975313560077869996283413/125000000000000000000000000 21485475980554891772234219/125000000000000000000000000


--- 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 :
51622419507394130812191/2500000000000000000000000 -77854900875116863370583/1000000000000000000000000 9961257257860912415913/5000000000000000000000000 2152370304661259231213343/25000000000000000000000000 -235519152829174738586217/10000000000000000000000000 -2538672768978971420112351/50000000000000000000000000
-77854900875116863370583/1000000000000000000000000 117417696576699019884879/400000000000000000000000 -15023176050305360597169/2000000000000000000000000 -3246120160872064201596759/10000000000000000000000000 355200714586430767633521/4000000000000000000000000 3828726329940931369968663/20000000000000000000000000
9961257257860912415913/5000000000000000000000000 -15023176050305360597169/2000000000000000000000000 1922161865022114817359/10000000000000000000000000 415329512322456544647849/50000000000000000000000000 -45446666252224611705231/20000000000000000000000000 -489871896486825100514793/100000000000000000000000000
2152370304661259231213343/25000000000000000000000000 -3246120160872064201596759/10000000000000000000000000 415329512322456544647849/50000000000000000000000000 89741975920443596646142239/250000000000000000000000000 -9819850281443767829569641/100000000000000000000000000 -105848659038924986020909023/500000000000000000000000000
-235519152829174738586217/10000000000000000000000000 355200714586430767633521/4000000000000000000000000 -45446666252224611705231/20000000000000000000000000 -9819850281443767829569641/100000000000000000000000000 1074519014774714949488079/40000000000000000000000000 11582294390033027887156137/200000000000000000000000000
-2538672768978971420112351/50000000000000000000000000 3828726329940931369968663/20000000000000000000000000 -489871896486825100514793/100000000000000000000000000 -105848659038924986020909023/500000000000000000000000000 11582294390033027887156137/200000000000000000000000000 124846132541932277299134111/1000000000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

Flags :
F1 : {1}
F2 : {1, 2}
F3 : {1, 3}
F4 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 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 :
654660355074750636143901813/1000000000000000000000000000 147761885052277757400359229/500000000000000000000000000 223650739110696031397770773/1000000000000000000000000000 2034119395794188024544704857/1000000000000000000000000000 -20903297460538726657621743/1000000000000000000000000000 9796493932011637604886139/5000000000000000000000000 -1161766022420568834472392821/500000000000000000000000000 -856150647416001115204660009/1000000000000000000000000000 208748011744598870984078219/500000000000000000000000000 -1480380084642402039778282489/1000000000000000000000000000 -8171080754424860034966817/20000000000000000000000000 161788645445303155583808527/1000000000000000000000000000
147761885052277757400359229/500000000000000000000000000 72697790240030578672926423/500000000000000000000000000 9183575395451166935388831/62500000000000000000000000 119862671689256714252696637/125000000000000000000000000 30498487662913357544539341/500000000000000000000000000 425589251232215343403246023/500000000000000000000000000 -525274361364631422514915899/500000000000000000000000000 -225964189298763776304749499/500000000000000000000000000 39570696303473317619744391/500000000000000000000000000 -193358178713463913261431489/250000000000000000000000000 -83300478203397427821611217/500000000000000000000000000 43536150583491157585839879/500000000000000000000000000
223650739110696031397770773/1000000000000000000000000000 9183575395451166935388831/62500000000000000000000000 349512667030958080134556371/1000000000000000000000000000 754263260277217627273302651/1000000000000000000000000000 373123884020113651819584897/1000000000000000000000000000 92970847205354341738042743/500000000000000000000000000 -119763383260787405034648087/250000000000000000000000000 -553528713195103464015139293/1000000000000000000000000000 -163855037742685039052256687/250000000000000000000000000 -1055736876361784707262730531/1000000000000000000000000000 -1286069672124231306481251/15625000000000000000000000 516572331794530726855981503/1000000000000000000000000000
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161788645445303155583808527/1000000000000000000000000000 43536150583491157585839879/500000000000000000000000000 516572331794530726855981503/1000000000000000000000000000 143845214846886128654195227/1000000000000000000000000000 4329015822402138374812543/8000000000000000000000000 -26305319738955419431039417/25000000000000000000000000 387673145475705201661911241/500000000000000000000000000 -330716091016441375858719627/1000000000000000000000000000 -161937523522633481277792547/100000000000000000000000000 -1106664269383228233596408331/1000000000000000000000000000 -63375027049187849792556979/500000000000000000000000000 1771303118106973363493962621/1000000000000000000000000000


--- 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 :
556469178229918255324557937/500000000000000000000000000 71609935910078175011614941/250000000000000000000000000 5852126610334209600667739/12500000000000000000000000 113229703352315228415128777/50000000000000000000000000
71609935910078175011614941/250000000000000000000000000 130380521530101696524365453/25000000000000000000000000 15436307226840618643614567/62500000000000000000000000 -398579560966837712106560273/62500000000000000000000000
5852126610334209600667739/12500000000000000000000000 15436307226840618643614567/62500000000000000000000000 50013197361933442219027061/250000000000000000000000000 390700131104966347013666137/500000000000000000000000000
113229703352315228415128777/50000000000000000000000000 -398579560966837712106560273/62500000000000000000000000 390700131104966347013666137/500000000000000000000000000 14029975035439207989115972629/1000000000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

Flags :
F1  : {2, 3}
F2  : {2, 3, 4}
F3  : {2, 3, 5}
F4  : {2, 3, 4, 5}
F5  : {2, 3, 6}
F6  : {2, 3, 4, 6}
F7  : {2, 3, 5, 6}
F8  : {2, 3, 4, 5, 6}
F9  : {2, 3, 7}
F10 : {2, 3, 4, 7}
F11 : {2, 3, 5, 7}
F12 : {2, 3, 4, 5, 7}
F13 : {2, 3, 6, 7}
F14 : {2, 3, 4, 6, 7}
F15 : {2, 3, 5, 6, 7}
F16 : {2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)+(F3)
B3  : (F4)
B4  : (F5)+(F9)
B5  : (F6)+(F11)
B6  : (F7)+(F10)
B7  : (F8)+(F12)
B8  : (F13)
B9  : (F14)+(F15)
B10 : (F16)

Matrix :
2354543981804129405690566843/250000000000000000000000000 -626889714170121395929368707/500000000000000000000000000 652132299821664488615075611/500000000000000000000000000 15387021839123579999029467/62500000000000000000000000 -3566919689829458361246835449/1000000000000000000000000000 -1277997493273331674661659131/250000000000000000000000000 1018272042779345574556935569/500000000000000000000000000 -1514331890324413629632057411/500000000000000000000000000 -1632817924970751267661910039/1000000000000000000000000000 -7398355266224653257606621/1000000000000000000000000000
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--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

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

Basis :
B1 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
4722266672792755388815329/15625000000000000000000000 -1932642208869588081896103/3906250000000000000000000 2886239157258387654184761/62500000000000000000000000 -28635662566987496779875597/62500000000000000000000000 -11870117836991616164262777/62500000000000000000000000 -27104903406157912826499171/62500000000000000000000000
-1932642208869588081896103/3906250000000000000000000 790956158622734757954321/976562500000000000000000 -1181226730025153661952527/15625000000000000000000000 11719475834510054316687579/15625000000000000000000000 4857982902193580739493839/15625000000000000000000000 11092994957672271599705397/15625000000000000000000000
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-27104903406157912826499171/62500000000000000000000000 11092994957672271599705397/15625000000000000000000000 -16566458225514221087045739/250000000000000000000000000 164363201324778599769372903/250000000000000000000000000 68132195762060446441575723/250000000000000000000000000 155576937848506232940436329/250000000000000000000000000


--- 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 :
20737119256395837454044107/10000000000000000000000000 303916805641506243931761041/500000000000000000000000000 -10713077965035985618177327/12500000000000000000000000 44719758138929909839221977/50000000000000000000000000 -238077280667669128283360263/125000000000000000000000000 -209575329834925550130510627/250000000000000000000000000 -17332533805940361094758399/250000000000000000000000000 1881517674421770891799251/10000000000000000000000000 -222455610483556011557956503/500000000000000000000000000
303916805641506243931761041/500000000000000000000000000 56398370601388888350259493/200000000000000000000000000 -125333813859559763280289263/500000000000000000000000000 995605692643338875080411/6250000000000000000000000 -359182775073640221677086543/500000000000000000000000000 -239796300151594121521083717/500000000000000000000000000 7635526163884154373338683/62500000000000000000000000 39599610757280825816535467/500000000000000000000000000 -238068020921573695822308869/1000000000000000000000000000
-10713077965035985618177327/12500000000000000000000000 -125333813859559763280289263/500000000000000000000000000 35421225307754353434024571/100000000000000000000000000 -37018477282049808944573577/100000000000000000000000000 393160915261758645662594601/500000000000000000000000000 43154483903367567671492283/125000000000000000000000000 14700360189704144067904519/500000000000000000000000000 -3881764875463457568829901/50000000000000000000000000 5728537483978385372262529/31250000000000000000000000
44719758138929909839221977/50000000000000000000000000 995605692643338875080411/6250000000000000000000000 -37018477282049808944573577/100000000000000000000000000 9753217802102289429690893/20000000000000000000000000 -66285676407024357823836179/100000000000000000000000000 -6492945273082236592300911/50000000000000000000000000 -17106822409748086020807347/100000000000000000000000000 716553427690574434414181/12500000000000000000000000 -8523285781628253475962161/100000000000000000000000000
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1881517674421770891799251/10000000000000000000000000 39599610757280825816535467/500000000000000000000000000 -3881764875463457568829901/50000000000000000000000000 716553427690574434414181/12500000000000000000000000 -52473053278585496577544937/250000000000000000000000000 -32558156607069158122172199/250000000000000000000000000 1669639406333642448344003/62500000000000000000000000 226418628177066867693641/10000000000000000000000000 -32652164026578805586025911/500000000000000000000000000
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--- 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 :
189384396104792083659241687/1000000000000000000000000000 278336859248400589/1000000000000000000000000000 -179014691950360228646696103/1000000000000000000000000000 179014691950360228646696103/1000000000000000000000000000 89507345805478576863318977/500000000000000000000000000 -304206309818511643753257411/500000000000000000000000000 23068590227110883/62500000000000000000000000
278336859248400589/1000000000000000000000000000 100872533656330798635042779/500000000000000000000000000 91910270828449245765853617/500000000000000000000000000 -91910270828449245765853617/500000000000000000000000000 5744391950243381754003959/31250000000000000000000000 -575831417237106507/500000000000000000000000000 96601858573598495221408003/500000000000000000000000000
-179014691950360228646696103/1000000000000000000000000000 91910270828449245765853617/500000000000000000000000000 168350671454081430219690591/500000000000000000000000000 -168350671454081430219690591/500000000000000000000000000 -215526781122560802478497/125000000000000000000000000 287549554975840668561888969/500000000000000000000000000 88019034094966251763435179/500000000000000000000000000
179014691950360228646696103/1000000000000000000000000000 -91910270828449245765853617/500000000000000000000000000 -168350671454081430219690591/500000000000000000000000000 168350671454081430219690591/500000000000000000000000000 215526781122560802478497/125000000000000000000000000 -287549554975840668561888969/500000000000000000000000000 -88019034094966251763435179/500000000000000000000000000
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23068590227110883/62500000000000000000000000 96601858573598495221408003/500000000000000000000000000 88019034094966251763435179/500000000000000000000000000 -88019034094966251763435179/500000000000000000000000000 44009517275722796618843369/250000000000000000000000000 -179042170182724917/125000000000000000000000000 46255996263894033282170479/250000000000000000000000000


--- 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 :
3679068303777888245600419221/500000000000000000000000000 1204049753710968309259663819/250000000000000000000000000 -730780487033700320490446877/100000000000000000000000000 784137850170609216441806739/500000000000000000000000000 -955139548083926147366171961/250000000000000000000000000 -67625543279085459120637363/31250000000000000000000000 111545839842809886692184821/100000000000000000000000000 -418632977883620678661822023/500000000000000000000000000 772175020879931000892239151/500000000000000000000000000 139830673355465789335822669/125000000000000000000000000 -3613735190251282894183219/100000000000000000000000000 -111209556359548306208756577/62500000000000000000000000
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--- 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 :
232378026105535014652631019/250000000000000000000000000 69843072760045741095674049/125000000000000000000000000 218633746287145622134184217/125000000000000000000000000 1256691210133670668706391/1250000000000000000000000
69843072760045741095674049/125000000000000000000000000 20991893658437668328058179/62500000000000000000000000 65712119625284890659282507/62500000000000000000000000 377708585864372611245061/625000000000000000000000
218633746287145622134184217/125000000000000000000000000 65712119625284890659282507/62500000000000000000000000 205702388546166398377728531/62500000000000000000000000 1182362686362049976980413/625000000000000000000000
1256691210133670668706391/1250000000000000000000000 377708585864372611245061/625000000000000000000000 1182362686362049976980413/625000000000000000000000 6796136554279875146099/6250000000000000000000


--- Term 16 ---

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

Flags :
F1  : {0, 1, 2, 3}
F2  : {0, 1, 2, 3, 4}
F3  : {0, 1, 2, 3, 5}
F4  : {0, 1, 2, 3, 4, 5}
F5  : {0, 1, 2, 3, 6}
F6  : {0, 1, 2, 3, 4, 6}
F7  : {0, 1, 2, 3, 5, 6}
F8  : {0, 1, 2, 3, 4, 5, 6}
F9  : {0, 1, 2, 3, 7}
F10 : {0, 1, 2, 3, 4, 7}
F11 : {0, 1, 2, 3, 5, 7}
F12 : {0, 1, 2, 3, 4, 5, 7}
F13 : {0, 1, 2, 3, 6, 7}
F14 : {0, 1, 2, 3, 4, 6, 7}
F15 : {0, 1, 2, 3, 5, 6, 7}
F16 : {0, 1, 2, 3, 4, 5, 6, 7}

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

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