#Density : 15878477597721491052008716369/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {11, 12, 15}
Number of terms              : 19


--- Term 1 ---

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

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

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

Matrix :
782083255330405469/500000000000000000000000000 1666072055965092314791/500000000000000000000000000 -14002862297129258401/50000000000000000000000000 347027834085198082359/50000000000000000000000000 1713651852561930600113/100000000000000000000000000 -2843382685273792219069/125000000000000000000000000
1666072055965092314791/500000000000000000000000000 3549233507761663881137593/500000000000000000000000000 -149151496454198856825561/250000000000000000000000000 3696371026968309625077581/250000000000000000000000000 18252952983090164641544483/500000000000000000000000000 -6057258487609222947800367/125000000000000000000000000
-14002862297129258401/50000000000000000000000000 -149151496454198856825561/250000000000000000000000000 12535759535616756833873/250000000000000000000000000 -310669482929837543997253/250000000000000000000000000 -383527210499587109544161/125000000000000000000000000 1018190734265411823117551/250000000000000000000000000
347027834085198082359/50000000000000000000000000 3696371026968309625077581/250000000000000000000000000 -310669482929837543997253/250000000000000000000000000 11195899105780345112518783/250000000000000000000000000 4203903707103834336162123/62500000000000000000000000 -25233476172815871059372521/250000000000000000000000000
1713651852561930600113/100000000000000000000000000 18252952983090164641544483/500000000000000000000000000 -383527210499587109544161/125000000000000000000000000 4203903707103834336162123/62500000000000000000000000 104247183530812596738664091/500000000000000000000000000 -62302383933542799596058439/250000000000000000000000000
-2843382685273792219069/125000000000000000000000000 -6057258487609222947800367/125000000000000000000000000 1018190734265411823117551/250000000000000000000000000 -25233476172815871059372521/250000000000000000000000000 -62302383933542799596058439/250000000000000000000000000 82700403465655058539034309/250000000000000000000000000


--- 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 :
61556567837873392046425747/250000000000000000000000000 33985956440392749306226273/500000000000000000000000000 -445422937230127204037716357/500000000000000000000000000 -36192459618600320295464357/250000000000000000000000000 -100318754524415101685968023/500000000000000000000000000 -443837365684393705309477/250000000000000000000000000
33985956440392749306226273/500000000000000000000000000 18763964199732695675676097/1000000000000000000000000000 -245922166780406335882102303/1000000000000000000000000000 -19982195227454357018170613/500000000000000000000000000 -55386921999954878453778417/1000000000000000000000000000 -245046766268423262336193/500000000000000000000000000
-445422937230127204037716357/500000000000000000000000000 -245922166780406335882102303/1000000000000000000000000000 3223077568802413946571915907/1000000000000000000000000000 261888409882740759541139867/500000000000000000000000000 725905875993959647975106673/1000000000000000000000000000 3211604383045164372824587/500000000000000000000000000
-36192459618600320295464357/250000000000000000000000000 -19982195227454357018170613/500000000000000000000000000 261888409882740759541139867/500000000000000000000000000 21279518648505404322185017/250000000000000000000000000 58982860800099558768763413/500000000000000000000000000 260956170322712436233237/250000000000000000000000000
-100318754524415101685968023/500000000000000000000000000 -55386921999954878453778417/1000000000000000000000000000 725905875993959647975106673/1000000000000000000000000000 58982860800099558768763413/500000000000000000000000000 163489500191691218668246947/1000000000000000000000000000 723321869830341631958493/500000000000000000000000000
-443837365684393705309477/250000000000000000000000000 -245046766268423262336193/500000000000000000000000000 3211604383045164372824587/500000000000000000000000000 260956170322712436233237/250000000000000000000000000 723321869830341631958493/500000000000000000000000000 8752891168242363662251657/250000000000000000000000000


--- 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 548521/31250000


--- 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 3424579/1000000000 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 :
4566221/500000000


--- 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 :
3208788092658633939937847/1000000000000000000000000 823280055297670116603347559/500000000000000000000000000 1124664348311744211806380549/500000000000000000000000000 -1598003269856019222348142961/500000000000000000000000000 245508673575759039884947829/250000000000000000000000000 2458823664077317015609548169/500000000000000000000000000 -4270816400273096944697696541/500000000000000000000000000 102134919615365205223813613/250000000000000000000000000 -291289389274842937289301943/500000000000000000000000000 -41752356545410155963352289/250000000000000000000000000 243851761096516829049316139/500000000000000000000000000 3181918262972685127209578687/500000000000000000000000000
823280055297670116603347559/500000000000000000000000000 211229295883279531275189151/250000000000000000000000000 57711117102921385300153811/50000000000000000000000000 -410000343383681012784015729/250000000000000000000000000 125980518825748012050954713/250000000000000000000000000 50468910356795586034327453/20000000000000000000000000 -438306034633754008061860847/100000000000000000000000000 104819189430084915265562761/500000000000000000000000000 -149472472470295706086241747/500000000000000000000000000 -42849675771379504567697951/500000000000000000000000000 5005211578382401669152883/20000000000000000000000000 1632772104592584934327746233/500000000000000000000000000
1124664348311744211806380549/500000000000000000000000000 57711117102921385300153811/50000000000000000000000000 1576757155459867447372019711/1000000000000000000000000000 -1120184476474821492209987493/500000000000000000000000000 172099150457260302628688381/250000000000000000000000000 430902763753924373600825771/125000000000000000000000000 -1496900014856556857203799949/250000000000000000000000000 143191134155554828643062349/500000000000000000000000000 -1633527837311039234567877/4000000000000000000000000 -117071954793086973075376281/1000000000000000000000000000 42734417826000859309449227/125000000000000000000000000 892197284810357274784536211/200000000000000000000000000
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243851761096516829049316139/500000000000000000000000000 5005211578382401669152883/20000000000000000000000000 42734417826000859309449227/125000000000000000000000000 -63429259524503884457875401/200000000000000000000000000 14925939829239049906641307/100000000000000000000000000 833949641243689490966622121/1000000000000000000000000000 -649121144751921354525978111/500000000000000000000000000 -27513519070436504835312409/100000000000000000000000000 -224098096653152998689689883/1000000000000000000000000000 -58852396894932819806229063/1000000000000000000000000000 253371236479486166891584123/1000000000000000000000000000 492253299338643524199350669/500000000000000000000000000
3181918262972685127209578687/500000000000000000000000000 1632772104592584934327746233/500000000000000000000000000 892197284810357274784536211/200000000000000000000000000 -2996749360850196775661005257/500000000000000000000000000 486905653946910188388050127/250000000000000000000000000 248532494463037461855704359/25000000000000000000000000 -8470106662364194903640924701/500000000000000000000000000 60129879739434955768391057/500000000000000000000000000 -43241251830173401743583689/31250000000000000000000000 -74515103617591007848824387/200000000000000000000000000 492253299338643524199350669/500000000000000000000000000 12932780716253036014316763773/1000000000000000000000000000


--- 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 :
2049040536174536179908951927/500000000000000000000000000 585048669638997831864862473/1000000000000000000000000000 2475745358363155342735790301/1000000000000000000000000000 136728873255289951167286809/200000000000000000000000000
585048669638997831864862473/1000000000000000000000000000 25078981386499353110280437/31250000000000000000000000 -8545461575218699112996529/40000000000000000000000000 2355843094148456950491061/100000000000000000000000000
2475745358363155342735790301/1000000000000000000000000000 -8545461575218699112996529/40000000000000000000000000 695803971784938614861991831/250000000000000000000000000 433699347701114385546949089/1000000000000000000000000000
136728873255289951167286809/200000000000000000000000000 2355843094148456950491061/100000000000000000000000000 433699347701114385546949089/1000000000000000000000000000 877899315059972370155530071/250000000000000000000000000


--- 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 :
125874807100526502864023613/12500000000000000000000000 -100951442968940745022733883/12500000000000000000000000 -1379270431062002278041329507/1000000000000000000000000000 -1517732056194592928290297553/1000000000000000000000000000 2897103485057650887545733657/1000000000000000000000000000 -1658058766280650897043926937/1000000000000000000000000000 -776188623621101056439813107/500000000000000000000000000 -5044182190225644567459762399/1000000000000000000000000000 -8597950867948023077028843/1000000000000000000000000000 -2289828866715757396402100331/1000000000000000000000000000
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-2289828866715757396402100331/1000000000000000000000000000 367287995843860290309175387/200000000000000000000000000 313634368177182180111836939/1000000000000000000000000000 -35864070205229464064509003/1000000000000000000000000000 -122435096022143009476966069/200000000000000000000000000 3658476044577474584427927/250000000000000000000000000 396341644318337571669937311/500000000000000000000000000 573502069888091804780645103/500000000000000000000000000 -334531714598930122270201617/1000000000000000000000000000 555556696116485556704044237/250000000000000000000000000


--- 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 :
761269392558140560434846099/500000000000000000000000000 68873681984840343672818967/100000000000000000000000000 316598251612356477713480757/500000000000000000000000000 -88855365851508392110788183/125000000000000000000000000 -23357637509017591171858059/500000000000000000000000000 18654314730250929266510439/62500000000000000000000000
68873681984840343672818967/100000000000000000000000000 1913576359907680283621638991/1000000000000000000000000000 87118273380135728243563013/125000000000000000000000000 -25136241958019913413256931/200000000000000000000000000 440320335020829082759487/8000000000000000000000000 -5304495849329715565890469/200000000000000000000000000
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-88855365851508392110788183/125000000000000000000000000 -25136241958019913413256931/200000000000000000000000000 -191610969758489130058510949/500000000000000000000000000 920701994110864679028481901/1000000000000000000000000000 -104896001342902300022866279/1000000000000000000000000000 -37959959548596762000608581/1000000000000000000000000000
-23357637509017591171858059/500000000000000000000000000 440320335020829082759487/8000000000000000000000000 6072235188407130721548341/125000000000000000000000000 -104896001342902300022866279/1000000000000000000000000000 535848022488314221790085819/1000000000000000000000000000 -89644132768469810841990061/1000000000000000000000000000
18654314730250929266510439/62500000000000000000000000 -5304495849329715565890469/200000000000000000000000000 14815927737953753543763639/500000000000000000000000000 -37959959548596762000608581/1000000000000000000000000000 -89644132768469810841990061/1000000000000000000000000000 995854738976839539432387121/1000000000000000000000000000


--- 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 :
245710086519321622705538811/200000000000000000000000000 -4305963770320330742779711/100000000000000000000000000 -767954016449496716760918639/1000000000000000000000000000 135933097715143385107484501/1000000000000000000000000000 140430478392373599751987509/250000000000000000000000000 -10446691733209548383233117/100000000000000000000000000 -156447592522510336399667263/200000000000000000000000000 7514585396963498899860823/250000000000000000000000000 -761379831405959199930316891/1000000000000000000000000000
-4305963770320330742779711/100000000000000000000000000 150920332607943385277149/100000000000000000000000000 13458064416266788140211011/500000000000000000000000000 -1191084593846482233983047/250000000000000000000000000 -9843935359304227156656569/500000000000000000000000000 366147602057230541710997/100000000000000000000000000 5483353775977721184422707/200000000000000000000000000 -263379774754761722607649/250000000000000000000000000 26685709427844590923738593/1000000000000000000000000000
-767954016449496716760918639/1000000000000000000000000000 13458064416266788140211011/500000000000000000000000000 480040017677123819171041439/1000000000000000000000000000 -3398814263716252576577807/40000000000000000000000000 -175563244376403980898558063/500000000000000000000000000 16325294116227131029551931/250000000000000000000000000 244484381458366367167511641/500000000000000000000000000 -4697288675110025650728141/250000000000000000000000000 9518611271073345649105939/20000000000000000000000000
135933097715143385107484501/1000000000000000000000000000 -1191084593846482233983047/250000000000000000000000000 -3398814263716252576577807/40000000000000000000000000 35620235564005860283511681/1000000000000000000000000000 7768972861852843433661031/125000000000000000000000000 -8071478391702805743224237/500000000000000000000000000 -86550805396694167831239619/1000000000000000000000000000 -6227369251796366996193133/500000000000000000000000000 -85461056785712093268363919/1000000000000000000000000000
140430478392373599751987509/250000000000000000000000000 -9843935359304227156656569/500000000000000000000000000 -175563244376403980898558063/500000000000000000000000000 7768972861852843433661031/125000000000000000000000000 32104045122234170678330771/125000000000000000000000000 -23882355586549296304938059/500000000000000000000000000 -178828721054913851176790201/500000000000000000000000000 3435843704687007922527521/250000000000000000000000000 -87030154485864242654031389/250000000000000000000000000
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-156447592522510336399667263/200000000000000000000000000 5483353775977721184422707/200000000000000000000000000 244484381458366367167511641/500000000000000000000000000 -86550805396694167831239619/1000000000000000000000000000 -178828721054913851176790201/500000000000000000000000000 66515778733063388512901147/1000000000000000000000000000 498063582834739525497741799/1000000000000000000000000000 -2392329120887594855762123/125000000000000000000000000 242391436273142391319972127/500000000000000000000000000
7514585396963498899860823/250000000000000000000000000 -263379774754761722607649/250000000000000000000000000 -4697288675110025650728141/250000000000000000000000000 -6227369251796366996193133/500000000000000000000000000 3435843704687007922527521/250000000000000000000000000 -19232858555107653751094293/500000000000000000000000000 -2392329120887594855762123/125000000000000000000000000 108837623913385033791210157/500000000000000000000000000 -12189654835614213138694993/100000000000000000000000000
-761379831405959199930316891/1000000000000000000000000000 26685709427844590923738593/1000000000000000000000000000 9518611271073345649105939/20000000000000000000000000 -85461056785712093268363919/1000000000000000000000000000 -87030154485864242654031389/250000000000000000000000000 -31699744087993243506551761/1000000000000000000000000000 242391436273142391319972127/500000000000000000000000000 -12189654835614213138694993/100000000000000000000000000 258562706178410978901995137/200000000000000000000000000


--- 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 :
329391410443885808708319913/1000000000000000000000000000 715795554543759571/1000000000000000000000000000 -55599453419751313522987357/1000000000000000000000000000 13899863105336205271542567/250000000000000000000000000 55599453070805641191814189/1000000000000000000000000000 -117078544365730365304483347/250000000000000000000000000 -147198343610812483/1000000000000000000000000000
715795554543759571/1000000000000000000000000000 10425360787213276929089747/31250000000000000000000000 49143279078950727792248023/500000000000000000000000000 -49143278704685293640545417/500000000000000000000000000 98286557660168641206244069/1000000000000000000000000000 -702333367896946073/500000000000000000000000000 -120334101423249526299331831/1000000000000000000000000000
-55599453419751313522987357/1000000000000000000000000000 49143279078950727792248023/500000000000000000000000000 279166610752786028150320211/500000000000000000000000000 1396941225432788699738169/12500000000000000000000000 -184520487512560307632541329/1000000000000000000000000000 9049701854392504330296309/125000000000000000000000000 17314981504615428319494281/200000000000000000000000000
13899863105336205271542567/250000000000000000000000000 -49143278704685293640545417/500000000000000000000000000 1396941225432788699738169/12500000000000000000000000 279166611250526639608204177/500000000000000000000000000 -30348002093884019778697091/62500000000000000000000000 -1131212717320422594370077/15625000000000000000000000 -21643727107082873069966951/250000000000000000000000000
55599453070805641191814189/1000000000000000000000000000 98286557660168641206244069/1000000000000000000000000000 -184520487512560307632541329/1000000000000000000000000000 -30348002093884019778697091/62500000000000000000000000 558333222300455622239012677/1000000000000000000000000000 -2262425447427853028961491/31250000000000000000000000 86574908296910058037660589/1000000000000000000000000000
-117078544365730365304483347/250000000000000000000000000 -702333367896946073/500000000000000000000000000 9049701854392504330296309/125000000000000000000000000 -1131212717320422594370077/15625000000000000000000000 -2262425447427853028961491/31250000000000000000000000 276061007429129919049264729/250000000000000000000000000 -13800645505618871/50000000000000000000000000
-147198343610812483/1000000000000000000000000000 -120334101423249526299331831/1000000000000000000000000000 17314981504615428319494281/200000000000000000000000000 -21643727107082873069966951/250000000000000000000000000 86574908296910058037660589/1000000000000000000000000000 -13800645505618871/50000000000000000000000000 741340194904170205036418227/1000000000000000000000000000


--- 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 :
8853272172020572967718689/6250000000000000000000000 -331368215666659427677425869/500000000000000000000000000 2187903706254170287303983/40000000000000000000000000 -27873889004424654263633279/200000000000000000000000000 -226966089664724339228964099/500000000000000000000000000 -16491531110973891243856861/100000000000000000000000000 640514255373776666368297773/1000000000000000000000000000 -246913639171776645506395769/500000000000000000000000000 1474947269709800852898017/62500000000000000000000000 -10279305756555415977681971/62500000000000000000000000 -779354960911297356366860073/1000000000000000000000000000 230280488236588816440814379/500000000000000000000000000
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2187903706254170287303983/40000000000000000000000000 -13631200346157029210213423/1000000000000000000000000000 34376003925140175038948867/62500000000000000000000000 -46586951838967966339491471/1000000000000000000000000000 -1863596358201993401896503/20000000000000000000000000 -59269732618496127150202571/1000000000000000000000000000 151066569150084546962632987/1000000000000000000000000000 -95112076535436682931243027/1000000000000000000000000000 3352793893816614263977969/1000000000000000000000000000 -26957356888832724888072983/200000000000000000000000000 -85681699123694982465194179/500000000000000000000000000 -22711240426292017607723599/500000000000000000000000000
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230280488236588816440814379/500000000000000000000000000 -204107909032456985397367607/100000000000000000000000000 -22711240426292017607723599/500000000000000000000000000 -11330009077230597462174417/200000000000000000000000000 -211262661161641179034427/31250000000000000000000000 492739496752446787240912833/1000000000000000000000000000 -16495382696753123789624401/100000000000000000000000000 -326918685235773008682260849/1000000000000000000000000000 9425436978462520755854181/1000000000000000000000000000 -190342962847496605094178577/1000000000000000000000000000 19381956729208677595897863/200000000000000000000000000 1278112626259248485814486283/500000000000000000000000000


--- Term 15 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
76346178476836427122191573/62500000000000000000000000 483201468562912760875903/125000000000000000000000000 -69738852864236393928497/250000000000000000000000000 -56144074419044029980468011/250000000000000000000000000
483201468562912760875903/125000000000000000000000000 63451398884685226517854847/250000000000000000000000000 52902465225059001017759807/500000000000000000000000000 40300888131160922363069723/125000000000000000000000000
-69738852864236393928497/250000000000000000000000000 52902465225059001017759807/500000000000000000000000000 151654210197930658706422229/1000000000000000000000000000 376271242668556917869495987/1000000000000000000000000000
-56144074419044029980468011/250000000000000000000000000 40300888131160922363069723/125000000000000000000000000 376271242668556917869495987/1000000000000000000000000000 1674312400714039753077197259/1000000000000000000000000000


--- Term 16 ---

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

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

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

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 17404448253332601189863561/1000000000000000000000000000 -1953870375607836561612713/1000000000000000000000000000 -1365466780597384031855969/500000000000000000000000000 -2183175228414588220340547/500000000000000000000000000 0/1
0/1 -1953870375607836561612713/1000000000000000000000000000 51924643590670533625046869/1000000000000000000000000000 -2416030694942722625363313/500000000000000000000000000 -3128302770454787815130419/250000000000000000000000000 0/1
0/1 -1365466780597384031855969/500000000000000000000000000 -2416030694942722625363313/500000000000000000000000000 8458319727365614627094799/62500000000000000000000000 -9901113291489175423694723/500000000000000000000000000 0/1
0/1 -2183175228414588220340547/500000000000000000000000000 -3128302770454787815130419/250000000000000000000000000 -9901113291489175423694723/500000000000000000000000000 46618852158694342192255887/1000000000000000000000000000 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 :
56504952385077851507174521/1000000000000000000000000000 -2453300090324540433327089/125000000000000000000000000 -18439276314091096126622373/1000000000000000000000000000 -55130518843358845513209/50000000000000000000000000 17228283071196365350523/15625000000000000000000000 -220521985256651495042329/200000000000000000000000000 317362514828941173343039/500000000000000000000000000 -2703338110849251103151941/500000000000000000000000000 -3017261868990327244367/1953125000000000000000000 695151440950443079710591/200000000000000000000000000
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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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