#Density : 6813546398022808267966354179/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 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 :
235866049704287412585921/7812500000000000000000000 89502951299960906676597/15625000000000000000000000 -1526518479897016088223531/31250000000000000000000000 1894357399185406362540261/31250000000000000000000000 -1009702877035887647889333/31250000000000000000000000 -113546226178224567993813/7812500000000000000000000
89502951299960906676597/15625000000000000000000000 33963252877836955084729/31250000000000000000000000 -579260598700014833451367/62500000000000000000000000 718842657756734599487977/62500000000000000000000000 -383147076673709002476281/62500000000000000000000000 -43086838333305281439641/15625000000000000000000000
-1526518479897016088223531/31250000000000000000000000 -579260598700014833451367/62500000000000000000000000 9879584927074559193381241/125000000000000000000000000 -12260228129532313810857271/125000000000000000000000000 6534768793274319698445863/125000000000000000000000000 734868001566719162187143/31250000000000000000000000
1894357399185406362540261/31250000000000000000000000 718842657756734599487977/62500000000000000000000000 -12260228129532313810857271/125000000000000000000000000 15214525194904580977618201/125000000000000000000000000 -8109425322083383498490153/125000000000000000000000000 -911946140531769403173833/31250000000000000000000000
-1009702877035887647889333/31250000000000000000000000 -383147076673709002476281/62500000000000000000000000 6534768793274319698445863/125000000000000000000000000 -8109425322083383498490153/125000000000000000000000000 4322368145702730510679609/125000000000000000000000000 486072291423283100754649/31250000000000000000000000
-113546226178224567993813/7812500000000000000000000 -43086838333305281439641/15625000000000000000000000 734868001566719162187143/31250000000000000000000000 -911946140531769403173833/31250000000000000000000000 486072291423283100754649/31250000000000000000000000 54661302444673853492089/7812500000000000000000000


--- 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 :
345444470950436691290721/10000000000000000000000000 -187937076459708005731389/6250000000000000000000000 604668316473425482569027/20000000000000000000000000 -672210157398788720057643/6250000000000000000000000 1064251332311332534415937/10000000000000000000000000 -9071237183220923727426597/100000000000000000000000000
-187937076459708005731389/6250000000000000000000000 102246084909229267426601/3906250000000000000000000 -328966317837328309587543/12500000000000000000000000 365712067703565615875487/3906250000000000000000000 -578999812799545899288733/6250000000000000000000000 4935154386453444214338673/62500000000000000000000000
604668316473425482569027/20000000000000000000000000 -328966317837328309587543/12500000000000000000000000 1058415472509517188433449/40000000000000000000000000 -1176641163404176074287841/12500000000000000000000000 1862872662696702025787619/20000000000000000000000000 -15878354343949879068513039/200000000000000000000000000
-672210157398788720057643/6250000000000000000000000 365712067703565615875487/3906250000000000000000000 -1176641163404176074287841/12500000000000000000000000 1308072740220342731831769/3906250000000000000000000 -2070956740562551689319371/6250000000000000000000000 17651976764767997528192151/62500000000000000000000000
1064251332311332534415937/10000000000000000000000000 -578999812799545899288733/6250000000000000000000000 1862872662696702025787619/20000000000000000000000000 -2070956740562551689319371/6250000000000000000000000 3278764008612408058297889/10000000000000000000000000 -27946825234728115003691909/100000000000000000000000000
-9071237183220923727426597/100000000000000000000000000 4935154386453444214338673/62500000000000000000000000 -15878354343949879068513039/200000000000000000000000000 17651976764767997528192151/62500000000000000000000000 -27946825234728115003691909/100000000000000000000000000 238207153259246153123329529/1000000000000000000000000000


--- 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 :
511025455206529200897270641/200000000000000000000000000 34315358332764779730074723/40000000000000000000000000 51508389168997909835364471/125000000000000000000000000 -610949075582145199622487221/500000000000000000000000000 -106779671531646875577101767/62500000000000000000000000 -421132384832673461165729067/200000000000000000000000000 809065008287568192614834003/1000000000000000000000000000 -972105674182182318802224023/1000000000000000000000000000 -20323076446471026950108991/1000000000000000000000000000 573377540865345273607545231/1000000000000000000000000000 -1455551998539174780526388871/1000000000000000000000000000 -420647670336976598347967027/1000000000000000000000000000
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51508389168997909835364471/125000000000000000000000000 509437665368399301744201583/1000000000000000000000000000 126445411240050154565977417/200000000000000000000000000 -3878687221986437659949711/10000000000000000000000000 33733211011421617017564719/125000000000000000000000000 -43417268778048784507208263/31250000000000000000000000 -1984822702147026156677752691/1000000000000000000000000000 29757237732364644153885111/15625000000000000000000000 -397737489248539915623961273/500000000000000000000000000 180443510011532438673322437/1000000000000000000000000000 63924124194640917100065913/1000000000000000000000000000 -11524476700653293939289023/100000000000000000000000000
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--- 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 :
918309363695677229846628807/1000000000000000000000000000 -105880445604649492267742657/500000000000000000000000000 32707221439528319943997017/200000000000000000000000000 -21706762225390078217569909/50000000000000000000000000
-105880445604649492267742657/500000000000000000000000000 48831773712172645458070891/1000000000000000000000000000 -18855602030291622800837367/500000000000000000000000000 20022199265702064966162299/200000000000000000000000000
32707221439528319943997017/200000000000000000000000000 -18855602030291622800837367/500000000000000000000000000 29123146746243307859485167/1000000000000000000000000000 -3865624716378125438772909/50000000000000000000000000
-21706762225390078217569909/50000000000000000000000000 20022199265702064966162299/200000000000000000000000000 -3865624716378125438772909/50000000000000000000000000 83568100164561508513602711/40000000000000000000000000


--- 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 :
2961633683683039033413373163/500000000000000000000000000 5001447663727683459041209217/1000000000000000000000000000 2336556081512359565883452979/1000000000000000000000000000 -5413699792550620916246939417/1000000000000000000000000000 1231150280132275768182122467/1000000000000000000000000000 -285099107439322490055563133/62500000000000000000000000 97571075657167339641564141/50000000000000000000000000 -1964378794992130270356883371/500000000000000000000000000 -489114061055760483837088527/250000000000000000000000000 446768689590270716025882741/1000000000000000000000000000
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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 :
730226412606849303666509597/250000000000000000000000000 3136968891092900725512829209/1000000000000000000000000000 -66663636491215898583536697/1000000000000000000000000000 1375518313165316785793296763/1000000000000000000000000000 -284066759454952974416033537/250000000000000000000000000 -290689604476577899276310299/250000000000000000000000000
3136968891092900725512829209/1000000000000000000000000000 421126826804758131760991101/125000000000000000000000000 -71594833813854337559191343/1000000000000000000000000000 369316803924906069270040001/250000000000000000000000000 -1220318207732554506939671911/1000000000000000000000000000 -124876919056312352585633283/100000000000000000000000000
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--- 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 :
6618026508003785575960227/62500000000000000000000000 -122679721940075916479631219/500000000000000000000000000 39336051141025042377424551/250000000000000000000000000 25440753364341253051778601/250000000000000000000000000 28364647305274932194499987/250000000000000000000000000 2045884376211334295307717/20000000000000000000000000 -5596937370245935834703247/125000000000000000000000000 -133717513654561012898013/500000000000000000000000000 -16608770984570772307315737/500000000000000000000000000
-122679721940075916479631219/500000000000000000000000000 4548278601511378311691967/8000000000000000000000000 -182295122661013592469027923/500000000000000000000000000 -117900122676633532737500831/500000000000000000000000000 -262900657781519259225196761/1000000000000000000000000000 -118515564130498840983657239/500000000000000000000000000 51875791028291116733105759/500000000000000000000000000 619687280408308641437079/1000000000000000000000000000 9621256606099067325723071/125000000000000000000000000
39336051141025042377424551/250000000000000000000000000 -182295122661013592469027923/500000000000000000000000000 58451145424471169762012251/250000000000000000000000000 37803519455371150963176691/250000000000000000000000000 84296520696014917529402973/500000000000000000000000000 38000854730956582900185289/250000000000000000000000000 -16633464248205033763062007/250000000000000000000000000 -198696656367469371443631/500000000000000000000000000 -6169923381712701088585433/125000000000000000000000000
25440753364341253051778601/250000000000000000000000000 -117900122676633532737500831/500000000000000000000000000 37803519455371150963176691/250000000000000000000000000 24449582173873281330118489/250000000000000000000000000 54519122542596917352370527/500000000000000000000000000 6144302396933654730227797/62500000000000000000000000 -10757761627268034004026259/250000000000000000000000000 -128507882269148668170951/500000000000000000000000000 -7980846861579670292822527/250000000000000000000000000
28364647305274932194499987/250000000000000000000000000 -262900657781519259225196761/1000000000000000000000000000 84296520696014917529402973/500000000000000000000000000 54519122542596917352370527/500000000000000000000000000 30392489958283658356266231/250000000000000000000000000 109607427436088588126186949/1000000000000000000000000000 -2998536540778844747436651/62500000000000000000000000 -286554466710194343019299/1000000000000000000000000000 -35592327370243594951149597/1000000000000000000000000000
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-16608770984570772307315737/500000000000000000000000000 9621256606099067325723071/125000000000000000000000000 -6169923381712701088585433/125000000000000000000000000 -7980846861579670292822527/250000000000000000000000000 -35592327370243594951149597/1000000000000000000000000000 -84455577691590133415039983/1000000000000000000000000000 7023109737546212713478267/500000000000000000000000000 41947752726584605750551/500000000000000000000000000 421141613149244257936280257/1000000000000000000000000000


--- 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 :
120856895944049375278343691/250000000000000000000000000 830376590856029207/500000000000000000000000000 -72529111712244120621155613/250000000000000000000000000 72529111712244120621155613/250000000000000000000000000 145058225370430172928964797/500000000000000000000000000 -93045622484701108620878523/250000000000000000000000000 801121092115398349/500000000000000000000000000
830376590856029207/500000000000000000000000000 2483207244888494210416923381/1000000000000000000000000000 511736494106655281263136809/250000000000000000000000000 -511736494106655281263136809/250000000000000000000000000 2046945974956585335759974357/1000000000000000000000000000 -775704235479308953/250000000000000000000000000 2250171420890537686624299361/1000000000000000000000000000
-72529111712244120621155613/250000000000000000000000000 511736494106655281263136809/250000000000000000000000000 930717454496820363511302149/500000000000000000000000000 -930717454496820363511302149/500000000000000000000000000 37830581921052580101764711/25000000000000000000000000 13959725360482164651897021/62500000000000000000000000 463712739401642628115182847/250000000000000000000000000
72529111712244120621155613/250000000000000000000000000 -511736494106655281263136809/250000000000000000000000000 -930717454496820363511302149/500000000000000000000000000 930717454496820363511302149/500000000000000000000000000 -37830581921052580101764711/25000000000000000000000000 -13959725360482164651897021/62500000000000000000000000 -463712739401642628115182847/250000000000000000000000000
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801121092115398349/500000000000000000000000000 2250171420890537686624299361/1000000000000000000000000000 463712739401642628115182847/250000000000000000000000000 -463712739401642628115182847/250000000000000000000000000 185485095639132415601460359/100000000000000000000000000 -3026405376557281109/1000000000000000000000000000 1019502386241608710332591799/500000000000000000000000000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

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

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
4020131399977600967571844871/200000000000000000000000000 -7903502149671430988541936209/500000000000000000000000000 1872569565767527958362787071/1000000000000000000000000000 102760894694839498930023021/125000000000000000000000000 2037043837467629513854608783/1000000000000000000000000000 210233799003399610324339697/1000000000000000000000000000 -2324463134573237152999778969/500000000000000000000000000 -577433693852568609587901061/200000000000000000000000000 -1317123379229595549190584311/1000000000000000000000000000 -6175261746182086158466387/3125000000000000000000000 1722962526328862201349308011/500000000000000000000000000 1303386658321874331730570843/1000000000000000000000000000
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1303386658321874331730570843/1000000000000000000000000000 -1726338750334784885312289491/1000000000000000000000000000 -605522165126066546664581027/1000000000000000000000000000 -16483326392928308242160257/62500000000000000000000000 158428259142152277729921499/1000000000000000000000000000 118251582478477118356862209/125000000000000000000000000 -52585233341318745384166713/500000000000000000000000000 -966434459480137101707155033/1000000000000000000000000000 43092687244961252033093263/100000000000000000000000000 -515601743795225930818731/20000000000000000000000000 515109097458767123233206027/1000000000000000000000000000 1032419318976523905036042713/1000000000000000000000000000


--- 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 :
1107252209806330298928500087/500000000000000000000000000 60922145643510569173874313/250000000000000000000000000 4886916362629583368715339/10000000000000000000000000 74436516732879954521563591/200000000000000000000000000
60922145643510569173874313/250000000000000000000000000 470574078405825935154990867/500000000000000000000000000 87795559423276842025594479/125000000000000000000000000 872131690917522047757505047/1000000000000000000000000000
4886916362629583368715339/10000000000000000000000000 87795559423276842025594479/125000000000000000000000000 1324129754273108033170372793/1000000000000000000000000000 596247610931448770478722869/500000000000000000000000000
74436516732879954521563591/200000000000000000000000000 872131690917522047757505047/1000000000000000000000000000 596247610931448770478722869/500000000000000000000000000 1720999455022687135684351503/1000000000000000000000000000


--- 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 :
60591662306103367665164467/200000000000000000000000000 -169590302569982377672663/50000000000000000000000000 -3196291658698325250094239/20000000000000000000000000 -2261344229487739425955053/25000000000000000000000000 -288527608862425822493946781/1000000000000000000000000000 124887147087912606276646819/500000000000000000000000000
-169590302569982377672663/50000000000000000000000000 5996542241974958919965933/1000000000000000000000000000 1789223295262478900059903/1000000000000000000000000000 -5614327316221923659931603/1000000000000000000000000000 40378067356391029434121/12500000000000000000000000 -2796378013392449619321033/1000000000000000000000000000
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-288527608862425822493946781/1000000000000000000000000000 40378067356391029434121/12500000000000000000000000 38050548310268508942779043/250000000000000000000000000 10768152235642338557185581/125000000000000000000000000 27478427858706704152541881/100000000000000000000000000 -118938443196650392324776087/500000000000000000000000000
124887147087912606276646819/500000000000000000000000000 -2796378013392449619321033/1000000000000000000000000000 -131759298663610729914867279/1000000000000000000000000000 -74574703901822695714454961/1000000000000000000000000000 -118938443196650392324776087/500000000000000000000000000 205926675904210806371543377/1000000000000000000000000000


--- 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 :
44582471614867186831054269/1000000000000000000000000000 -32483839569592511926447441/1000000000000000000000000000 -604931612431227522209617/100000000000000000000000000 0/1 0/1 0/1 7607226008476560159470431/1000000000000000000000000000 1061840002528692604690721/125000000000000000000000000 -1061840002528692604690721/125000000000000000000000000 269257336094685989/1000000000000000000000000000
-32483839569592511926447441/1000000000000000000000000000 5572808977761744582121443/125000000000000000000000000 -756164553251992395514943/125000000000000000000000000 0/1 0/1 0/1 7607225873013141843970927/1000000000000000000000000000 -8494719939581698379949349/1000000000000000000000000000 8494719939581698379949349/1000000000000000000000000000 570920748226992713/1000000000000000000000000000
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0/1 0/1 0/1 351363880769195068920279123/1000000000000000000000000000 351363880769195068920279123/1000000000000000000000000000 -351363880769195068920279123/1000000000000000000000000000 0/1 0/1 0/1 0/1
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0/1 0/1 0/1 -351363880769195068920279123/1000000000000000000000000000 -351363880769195068920279123/1000000000000000000000000000 351363880769195068920279123/1000000000000000000000000000 0/1 0/1 0/1 0/1
7607226008476560159470431/1000000000000000000000000000 7607225873013141843970927/1000000000000000000000000000 -3803612766187830949748729/500000000000000000000000000 0/1 0/1 0/1 18583775019502172202227739/100000000000000000000000000 -54977901911567/8000000000000000000000000 54977901911567/8000000000000000000000000 -181912123047333261/200000000000000000000000000
1061840002528692604690721/125000000000000000000000000 -8494719939581698379949349/1000000000000000000000000000 -44740982142715509/500000000000000000000000000 0/1 0/1 0/1 -54977901911567/8000000000000000000000000 74777517631661872611470291/500000000000000000000000000 -74777517631661872611470291/500000000000000000000000000 475794227016001/1000000000000000000000000
-1061840002528692604690721/125000000000000000000000000 8494719939581698379949349/1000000000000000000000000000 44740982142715509/500000000000000000000000000 0/1 0/1 0/1 54977901911567/8000000000000000000000000 -74777517631661872611470291/500000000000000000000000000 74777517631661872611470291/500000000000000000000000000 -475794227016001/1000000000000000000000000
269257336094685989/1000000000000000000000000000 570920748226992713/1000000000000000000000000000 4247359475327940384673369/500000000000000000000000000 0/1 0/1 0/1 -181912123047333261/200000000000000000000000000 475794227016001/1000000000000000000000000 -475794227016001/1000000000000000000000000 29911007541079854356308979/200000000000000000000000000


--- 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 :
11148679649537470069706451/62500000000000000000000000 -223668118976154610890231/12500000000000000000000000 -1852851252602854008369021/12500000000000000000000000 750430956542899539169701/3125000000000000000000000 -3959603027825410462586559/62500000000000000000000000 -26970521898124366347670311/31250000000000000000000000
-223668118976154610890231/12500000000000000000000000 2606104325741761149430887/12500000000000000000000000 -69351939529112159303409/2500000000000000000000000 -3094027141329491816277/19531250000000000000000 -57223013771649732089121/195312500000000000000000 81020313197808057346869/12500000000000000000000000
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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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