#Density : 9321030521333985187249207337/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 9, 10, 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 :
3641125632709274263249183/4000000000000000000000000 12497662226472997428695361/20000000000000000000000000 -1782453925675065868061021/5000000000000000000000000 6079911133817023522020321/10000000000000000000000000 -4301566514280001435582233/5000000000000000000000000 231937829878684913492603/10000000000000000000000000
12497662226472997428695361/20000000000000000000000000 42896504235914431868065887/100000000000000000000000000 -6118027594879324080967107/25000000000000000000000000 20868457554670876168950207/50000000000000000000000000 -14764534587118083004344711/25000000000000000000000000 796094655269590860678501/50000000000000000000000000
-1782453925675065868061021/5000000000000000000000000 -6118027594879324080967107/25000000000000000000000000 872571374251214196821527/6250000000000000000000000 -2976321764586854516190627/12500000000000000000000000 2105762034424972850071371/6250000000000000000000000 -113541398205533139592561/12500000000000000000000000
6079911133817023522020321/10000000000000000000000000 20868457554670876168950207/50000000000000000000000000 -2976321764586854516190627/12500000000000000000000000 10152168072159376942589727/25000000000000000000000000 -7182707981313333414685671/12500000000000000000000000 387287211834958804233861/25000000000000000000000000
-4301566514280001435582233/5000000000000000000000000 -14764534587118083004344711/25000000000000000000000000 2105762034424972850071371/6250000000000000000000000 -7182707981313333414685671/12500000000000000000000000 5081800614225719583132783/6250000000000000000000000 -274007574316671123082653/12500000000000000000000000
231937829878684913492603/10000000000000000000000000 796094655269590860678501/50000000000000000000000000 -113541398205533139592561/12500000000000000000000000 387287211834958804233861/25000000000000000000000000 -274007574316671123082653/12500000000000000000000000 14774320458919759386823/25000000000000000000000000


--- 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 :
14774320458919759386823/25000000000000000000000000 387287211834958804233861/25000000000000000000000000 -274007574316671123082653/12500000000000000000000000 796094655269590860678501/50000000000000000000000000 -113541398205533139592561/12500000000000000000000000 231937829878684913492603/10000000000000000000000000
387287211834958804233861/25000000000000000000000000 10152168072159376942589727/25000000000000000000000000 -7182707981313333414685671/12500000000000000000000000 20868457554670876168950207/50000000000000000000000000 -2976321764586854516190627/12500000000000000000000000 6079911133817023522020321/10000000000000000000000000
-274007574316671123082653/12500000000000000000000000 -7182707981313333414685671/12500000000000000000000000 5081800614225719583132783/6250000000000000000000000 -14764534587118083004344711/25000000000000000000000000 2105762034424972850071371/6250000000000000000000000 -4301566514280001435582233/5000000000000000000000000
796094655269590860678501/50000000000000000000000000 20868457554670876168950207/50000000000000000000000000 -14764534587118083004344711/25000000000000000000000000 42896504235914431868065887/100000000000000000000000000 -6118027594879324080967107/25000000000000000000000000 12497662226472997428695361/20000000000000000000000000
-113541398205533139592561/12500000000000000000000000 -2976321764586854516190627/12500000000000000000000000 2105762034424972850071371/6250000000000000000000000 -6118027594879324080967107/25000000000000000000000000 872571374251214196821527/6250000000000000000000000 -1782453925675065868061021/5000000000000000000000000
231937829878684913492603/10000000000000000000000000 6079911133817023522020321/10000000000000000000000000 -4301566514280001435582233/5000000000000000000000000 12497662226472997428695361/20000000000000000000000000 -1782453925675065868061021/5000000000000000000000000 3641125632709274263249183/4000000000000000000000000


--- 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 :
35704537119184243448678459/62500000000000000000000000 -86174820669633405384617597/1000000000000000000000000000 21215884630182503802860853/50000000000000000000000000 40279645318568018453496367/200000000000000000000000000 42339241881426538709164299/1000000000000000000000000000 26295581688681647656640823/1000000000000000000000000000 96047969910071705019867503/500000000000000000000000000 384940685009400049815049349/500000000000000000000000000 -236378996374146930757795831/1000000000000000000000000000 -367490864899686227545911449/1000000000000000000000000000 -795077516254340637780064281/1000000000000000000000000000 -430721803015651868931356217/1000000000000000000000000000
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21215884630182503802860853/50000000000000000000000000 -19450048375073824224440091/500000000000000000000000000 18297006795001353198067451/40000000000000000000000000 2402870603532353876616727/15625000000000000000000000 3702876041804566528732223/10000000000000000000000000 -267736093449446827632565713/500000000000000000000000000 51541343900909008193698517/200000000000000000000000000 568470054475286089788272401/1000000000000000000000000000 -3462511912913018364852783/10000000000000000000000000 -280948864983411257011930461/1000000000000000000000000000 -33724134562790511111810507/50000000000000000000000000 -126766677921085803433145787/500000000000000000000000000
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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 :
326167273402868064984735131/125000000000000000000000000 265258776718177233190133087/500000000000000000000000000 545708365042077360154336227/500000000000000000000000000 130147004417047919986416003/250000000000000000000000000
265258776718177233190133087/500000000000000000000000000 8107992155827368968354564699/1000000000000000000000000000 -593070124611688229252190547/1000000000000000000000000000 209301995978680149127102199/125000000000000000000000000
545708365042077360154336227/500000000000000000000000000 -593070124611688229252190547/1000000000000000000000000000 1275939859640003581057511903/1000000000000000000000000000 498511152914759300146089/125000000000000000000000000
130147004417047919986416003/250000000000000000000000000 209301995978680149127102199/125000000000000000000000000 498511152914759300146089/125000000000000000000000000 2012053082213012741776277/1000000000000000000000000


--- 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 :
1899329176969622197870877341/1000000000000000000000000000 864561867085331270388881949/500000000000000000000000000 -2297305183522511022228786039/1000000000000000000000000000 401024195617982885410361057/1000000000000000000000000000 -37205476861101430297425687/500000000000000000000000000 310980214935863971500721087/500000000000000000000000000 -784212991776410871720252987/500000000000000000000000000 58256386128976768280494017/125000000000000000000000000 60730786346541916745653853/200000000000000000000000000 313995807802954708762574237/1000000000000000000000000000
864561867085331270388881949/500000000000000000000000000 1717671987002135206164328743/500000000000000000000000000 -83397553006140785857647627/500000000000000000000000000 31712066913848403289757607/250000000000000000000000000 -1350645997982224134945207/250000000000000000000000000 22578618761664093165602601/500000000000000000000000000 -1711838282681419016099604909/500000000000000000000000000 1691874519754825134526401/50000000000000000000000000 -1182583407298869897925647/15625000000000000000000000 -784212991776410871720252987/500000000000000000000000000
-2297305183522511022228786039/1000000000000000000000000000 -83397553006140785857647627/500000000000000000000000000 953788737315804892863853009/200000000000000000000000000 -731415732342553967297947091/1000000000000000000000000000 77234328656050109632452677/500000000000000000000000000 -645559476950026361364557169/500000000000000000000000000 -83397553006140785857647627/500000000000000000000000000 -120933616741831425228028023/125000000000000000000000000 -731415732342553967297947091/1000000000000000000000000000 -2297305183522511022228786039/1000000000000000000000000000
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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 :
4420470524184221194569274363/1000000000000000000000000000 -497684578436461867043333/31250000000000000000000000 0/1 -730119953857710096230209139/1000000000000000000000000000 -4420470524184221194569274363/1000000000000000000000000000 497684578436461867043333/31250000000000000000000000
-497684578436461867043333/31250000000000000000000000 108072650152554002567392453/125000000000000000000000000 26314626263372651787641237/250000000000000000000000000 82201536960327882853659/31250000000000000000000000 497684578436461867043333/31250000000000000000000000 830006223124672801546177/25000000000000000000000000
0/1 26314626263372651787641237/250000000000000000000000000 909884444239369724293814731/500000000000000000000000000 0/1 0/1 26314626263372651787641237/250000000000000000000000000
-730119953857710096230209139/1000000000000000000000000000 82201536960327882853659/31250000000000000000000000 0/1 24118479881485532314704043/200000000000000000000000000 730119953857710096230209139/1000000000000000000000000000 -82201536960327882853659/31250000000000000000000000
-4420470524184221194569274363/1000000000000000000000000000 497684578436461867043333/31250000000000000000000000 0/1 730119953857710096230209139/1000000000000000000000000000 4420470524184221194569274363/1000000000000000000000000000 -497684578436461867043333/31250000000000000000000000
497684578436461867043333/31250000000000000000000000 830006223124672801546177/25000000000000000000000000 26314626263372651787641237/250000000000000000000000000 -82201536960327882853659/31250000000000000000000000 -497684578436461867043333/31250000000000000000000000 108072650152554002567392453/125000000000000000000000000


--- 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 :
1350572131302689723118073239/1000000000000000000000000000 -89026196571841734655377/625000000000000000000000 -11933771865526526569910937/500000000000000000000000000 -159933606167460251339272749/500000000000000000000000000 -6552954942091800342399777/50000000000000000000000000 -11933771865526526569910937/500000000000000000000000000 82666348235007845665494651/500000000000000000000000000 -89026196571841734655377/625000000000000000000000 -1046316078432625581825450303/1000000000000000000000000000
-89026196571841734655377/625000000000000000000000 28144921351067466960052251/125000000000000000000000000 4715958383362568793270747/125000000000000000000000000 63202166056759463665882419/125000000000000000000000000 25895804912389795864723161/125000000000000000000000000 4715958383362568793270747/125000000000000000000000000 -32667882597739079248864413/125000000000000000000000000 28144921351067466960052251/125000000000000000000000000 -89026196571841734655377/625000000000000000000000
-11933771865526526569910937/500000000000000000000000000 4715958383362568793270747/125000000000000000000000000 6321641676291747866906379/1000000000000000000000000000 84721156231120425616710183/1000000000000000000000000000 17356387214189093000049003/500000000000000000000000000 6321641676291747866906379/1000000000000000000000000000 -43790600195844897613724049/1000000000000000000000000000 4715958383362568793270747/125000000000000000000000000 -11933771865526526569910937/500000000000000000000000000
-159933606167460251339272749/500000000000000000000000000 63202166056759463665882419/125000000000000000000000000 84721156231120425616710183/1000000000000000000000000000 1135413027292668872506607091/1000000000000000000000000000 232606222889193821617251831/500000000000000000000000000 84721156231120425616710183/1000000000000000000000000000 -586871333527238948777083173/1000000000000000000000000000 63202166056759463665882419/125000000000000000000000000 -159933606167460251339272749/500000000000000000000000000
-6552954942091800342399777/50000000000000000000000000 25895804912389795864723161/125000000000000000000000000 17356387214189093000049003/500000000000000000000000000 232606222889193821617251831/500000000000000000000000000 47652839650597749291736017/250000000000000000000000000 17356387214189093000049003/500000000000000000000000000 -120229309451571030270514977/500000000000000000000000000 25895804912389795864723161/125000000000000000000000000 -6552954942091800342399777/50000000000000000000000000
-11933771865526526569910937/500000000000000000000000000 4715958383362568793270747/125000000000000000000000000 6321641676291747866906379/1000000000000000000000000000 84721156231120425616710183/1000000000000000000000000000 17356387214189093000049003/500000000000000000000000000 6321641676291747866906379/1000000000000000000000000000 -43790600195844897613724049/1000000000000000000000000000 4715958383362568793270747/125000000000000000000000000 -11933771865526526569910937/500000000000000000000000000
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-89026196571841734655377/625000000000000000000000 28144921351067466960052251/125000000000000000000000000 4715958383362568793270747/125000000000000000000000000 63202166056759463665882419/125000000000000000000000000 25895804912389795864723161/125000000000000000000000000 4715958383362568793270747/125000000000000000000000000 -32667882597739079248864413/125000000000000000000000000 28144921351067466960052251/125000000000000000000000000 -89026196571841734655377/625000000000000000000000
-1046316078432625581825450303/1000000000000000000000000000 -89026196571841734655377/625000000000000000000000 -11933771865526526569910937/500000000000000000000000000 -159933606167460251339272749/500000000000000000000000000 -6552954942091800342399777/50000000000000000000000000 -11933771865526526569910937/500000000000000000000000000 82666348235007845665494651/500000000000000000000000000 -89026196571841734655377/625000000000000000000000 1350572131302689723118073239/1000000000000000000000000000


--- 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 :
966312129936764102556655163/500000000000000000000000000 -11839644091654004739/250000000000000000000000000 4702542956262641212637723/31250000000000000000000000 -4702542956262641212637723/31250000000000000000000000 -752406511040880475326417/5000000000000000000000000 24255943587366959647924107/125000000000000000000000000 -117573154747290607519/250000000000000000000000000
-11839644091654004739/250000000000000000000000000 2435448261844877269765707/125000000000000000000000000 -236082344848578722772219/15625000000000000000000000 236082344848578722772219/15625000000000000000000000 -188865784751828355540603/12500000000000000000000000 -298061189621271351/62500000000000000000000000 24255943587366959647924107/125000000000000000000000000
4702542956262641212637723/31250000000000000000000000 -236082344848578722772219/15625000000000000000000000 22884846613335279608929/976562500000000000000000 -22884846613335279608929/976562500000000000000000 0/1 236082344848578722772219/15625000000000000000000000 -4702542956262641212637723/31250000000000000000000000
-4702542956262641212637723/31250000000000000000000000 236082344848578722772219/15625000000000000000000000 -22884846613335279608929/976562500000000000000000 22884846613335279608929/976562500000000000000000 0/1 -236082344848578722772219/15625000000000000000000000 4702542956262641212637723/31250000000000000000000000
-752406511040880475326417/5000000000000000000000000 -188865784751828355540603/12500000000000000000000000 0/1 0/1 73231474344454946482209/3125000000000000000000000 -188865784751828355540603/12500000000000000000000000 -752406511040880475326417/5000000000000000000000000
24255943587366959647924107/125000000000000000000000000 -298061189621271351/62500000000000000000000000 236082344848578722772219/15625000000000000000000000 -236082344848578722772219/15625000000000000000000000 -188865784751828355540603/12500000000000000000000000 2435448261844877269765707/125000000000000000000000000 -11839644091654004739/250000000000000000000000000
-117573154747290607519/250000000000000000000000000 24255943587366959647924107/125000000000000000000000000 -4702542956262641212637723/31250000000000000000000000 4702542956262641212637723/31250000000000000000000000 -752406511040880475326417/5000000000000000000000000 -11839644091654004739/250000000000000000000000000 966312129936764102556655163/500000000000000000000000000


--- 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 :
137216541633853973379630823/100000000000000000000000000 -882556057977783267756356727/500000000000000000000000000 240373855694362645924806879/1000000000000000000000000000 -69330587862940706402280509/500000000000000000000000000 -5910516262288978514627977/10000000000000000000000000 143925620887255009238175729/1000000000000000000000000000 335528021475726546373122087/1000000000000000000000000000 1033606591453158159377167401/1000000000000000000000000000 -91291201201671910415824607/500000000000000000000000000 -126766677921085803433145787/500000000000000000000000000 43376062832298585207256811/200000000000000000000000000 -430721803015651868931356217/1000000000000000000000000000
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43376062832298585207256811/200000000000000000000000000 -2600007617702248732524829189/1000000000000000000000000000 18322481222900005760433117/200000000000000000000000000 2732304870137221146885069/31250000000000000000000000 48611534555121618266456077/200000000000000000000000000 89040876456675888128574149/1000000000000000000000000000 -661883083693171934967471651/1000000000000000000000000000 1606987478754095452349375591/1000000000000000000000000000 -250958467967498483083701943/500000000000000000000000000 51541343900909008193698517/200000000000000000000000000 18915138799573146780742191/31250000000000000000000000 96047969910071705019867503/500000000000000000000000000
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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 :
2012053082213012741776277/1000000000000000000000000 209301995978680149127102199/125000000000000000000000000 498511152914759300146089/125000000000000000000000000 130147004417047919986416003/250000000000000000000000000
209301995978680149127102199/125000000000000000000000000 8107992155827368968354564699/1000000000000000000000000000 -593070124611688229252190547/1000000000000000000000000000 265258776718177233190133087/500000000000000000000000000
498511152914759300146089/125000000000000000000000000 -593070124611688229252190547/1000000000000000000000000000 1275939859640003581057511903/1000000000000000000000000000 545708365042077360154336227/500000000000000000000000000
130147004417047919986416003/250000000000000000000000000 265258776718177233190133087/500000000000000000000000000 545708365042077360154336227/500000000000000000000000000 326167273402868064984735131/125000000000000000000000000


--- 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 :
206475831959712880660434659/500000000000000000000000000 -13234670170171543227558543/500000000000000000000000000 0/1 -1267629133030909009473969/100000000000000000000000000 0/1 -29403402926438475364372133/500000000000000000000000000
-13234670170171543227558543/500000000000000000000000000 10163896761990494754253403/100000000000000000000000000 0/1 -679464912664314425848399/100000000000000000000000000 0/1 -3831297123796731311440129/100000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-1267629133030909009473969/100000000000000000000000000 -679464912664314425848399/100000000000000000000000000 0/1 22927152731468773482754643/250000000000000000000000000 0/1 -10140050804048291794497181/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-29403402926438475364372133/500000000000000000000000000 -3831297123796731311440129/100000000000000000000000000 0/1 -10140050804048291794497181/250000000000000000000000000 0/1 72573723290808899048078019/500000000000000000000000000


--- 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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0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
-10140050804048291794497181/250000000000000000000000000 0/1 0/1 22927152731468773482754643/250000000000000000000000000 -679464912664314425848399/100000000000000000000000000 -1267629133030909009473969/100000000000000000000000000
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-29403402926438475364372133/500000000000000000000000000 0/1 0/1 -1267629133030909009473969/100000000000000000000000000 -13234670170171543227558543/500000000000000000000000000 206475831959712880660434659/500000000000000000000000000


--- 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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