#Density : 5296357121173292241806906697/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 9, 10, 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 :
887783793991841389068513/125000000000000000000000000 -126753207319572730409637/5000000000000000000000000 -161686439708253755475663/125000000000000000000000000 10495532262735860338209/1250000000000000000000000 2191564726650389399256921/125000000000000000000000000 150546980792786703758229/25000000000000000000000000
-126753207319572730409637/5000000000000000000000000 7664690462555748092185971/15625000000000000000000000 -4722947196992525792993211/31250000000000000000000000 -7160769456124902247173/390625000000000000000000 -53310671989500638868536787/125000000000000000000000000 -21347296804294751375632569/125000000000000000000000000
-161686439708253755475663/125000000000000000000000000 -4722947196992525792993211/31250000000000000000000000 95114809445744650450473/1562500000000000000000000 -9469232025225239558319/1562500000000000000000000 692422231452919326973311/5000000000000000000000000 7127915861764515225914157/125000000000000000000000000
10495532262735860338209/1250000000000000000000000 -7160769456124902247173/390625000000000000000000 -9469232025225239558319/1562500000000000000000000 400975902044782141321/39062500000000000000000 63378115964474824496827/6250000000000000000000000 17351203682840238722369/6250000000000000000000000
2191564726650389399256921/125000000000000000000000000 -53310671989500638868536787/125000000000000000000000000 692422231452919326973311/5000000000000000000000000 63378115964474824496827/6250000000000000000000000 9357578202125446360861993/25000000000000000000000000 18832523332704886343681161/125000000000000000000000000
150546980792786703758229/25000000000000000000000000 -21347296804294751375632569/125000000000000000000000000 7127915861764515225914157/125000000000000000000000000 17351203682840238722369/6250000000000000000000000 18832523332704886343681161/125000000000000000000000000 7601573592690378533673377/125000000000000000000000000


--- 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 :
5153663072117245212779319/1000000000000000000000000000 8503079562465611459719617/500000000000000000000000000 -2130332342563155402965781/500000000000000000000000000 -4316574865824226127131389/1000000000000000000000000000 -3009334317427801555710327/1000000000000000000000000000 -17329293497519661424916853/500000000000000000000000000
8503079562465611459719617/500000000000000000000000000 14029314884163910746516231/250000000000000000000000000 -3514856355533238955129683/250000000000000000000000000 -7121959469958865897875627/500000000000000000000000000 -4965130388439293494117761/500000000000000000000000000 -28591772358566671927508979/250000000000000000000000000
-2130332342563155402965781/500000000000000000000000000 -3514856355533238955129683/250000000000000000000000000 880600036568974830079119/250000000000000000000000000 1784311259211351081216711/500000000000000000000000000 1243946710580737006997973/500000000000000000000000000 7163284424095866849596847/250000000000000000000000000
-4316574865824226127131389/1000000000000000000000000000 -7121959469958865897875627/500000000000000000000000000 1784311259211351081216711/500000000000000000000000000 3615451439399323894970559/1000000000000000000000000000 2520540573897965191112637/1000000000000000000000000000 14514567931029621489779943/500000000000000000000000000
-3009334317427801555710327/1000000000000000000000000000 -4965130388439293494117761/500000000000000000000000000 1243946710580737006997973/500000000000000000000000000 2520540573897965191112637/1000000000000000000000000000 1757214801845437223563191/1000000000000000000000000000 10118945862217585857949749/500000000000000000000000000
-17329293497519661424916853/500000000000000000000000000 -28591772358566671927508979/250000000000000000000000000 7163284424095866849596847/250000000000000000000000000 14514567931029621489779943/500000000000000000000000000 10118945862217585857949749/500000000000000000000000000 58270090403834868808456911/250000000000000000000000000


--- 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 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 :
237071598719970581442550677/250000000000000000000000000 65379263721739771277453811/200000000000000000000000000 -5633785751806017003023067/500000000000000000000000000 246765476326879484220350091/250000000000000000000000000 -8672601192097214445684393/125000000000000000000000000 -1791975459041361219375512037/1000000000000000000000000000 651540005439133998630083253/1000000000000000000000000000 4882432274430821218332171/62500000000000000000000000 -215655910304371180042366419/1000000000000000000000000000 95492626126658618788380651/1000000000000000000000000000 -242651646459914360158831617/500000000000000000000000000 109572628907139423822781203/500000000000000000000000000
65379263721739771277453811/200000000000000000000000000 294618420729087643502162429/1000000000000000000000000000 6583397093717952369537631/250000000000000000000000000 81269934289630937811462587/500000000000000000000000000 -11968043026382622334000611/200000000000000000000000000 -325749918393214669900481747/1000000000000000000000000000 180356416088048270450083733/250000000000000000000000000 -36197534186924672030187249/50000000000000000000000000 252315957633181218602194813/1000000000000000000000000000 203588171176954483385319211/500000000000000000000000000 -133394299697821571129716921/250000000000000000000000000 506708109972388232401953633/1000000000000000000000000000
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109572628907139423822781203/500000000000000000000000000 506708109972388232401953633/1000000000000000000000000000 37590990008309222126472809/500000000000000000000000000 170227227495323072273581563/250000000000000000000000000 6208697068927749205864329/25000000000000000000000000 -1470825757150130234422718229/1000000000000000000000000000 1553508209781158811213127403/1000000000000000000000000000 -34601737641849195329707417/62500000000000000000000000 135144191013076507582701673/200000000000000000000000000 13091061707678322473879003/40000000000000000000000000 -28665450915349445370742883/20000000000000000000000000 1095008179869461003083610967/500000000000000000000000000


--- Term 9 ---

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

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

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

Matrix :
189660150316316728973118467/250000000000000000000000000 22261282006634269861895929/31250000000000000000000000 33403241121364108416827541/250000000000000000000000000 34336566758675207220286127/250000000000000000000000000
22261282006634269861895929/31250000000000000000000000 12900944142394034577693121/7812500000000000000000000 25651840751942402705078367/31250000000000000000000000 -46153025248685199358791551/31250000000000000000000000
33403241121364108416827541/250000000000000000000000000 25651840751942402705078367/31250000000000000000000000 128941025684237642327818643/250000000000000000000000000 -278127716912942143663777079/250000000000000000000000000
34336566758675207220286127/250000000000000000000000000 -46153025248685199358791551/31250000000000000000000000 -278127716912942143663777079/250000000000000000000000000 662455763899586229963889387/250000000000000000000000000


--- 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 :
261910586082259252031932041/1000000000000000000000000000 106506315081469653803147723/125000000000000000000000000 71715596994550709017832233/1000000000000000000000000000 -2488864778548256615477657/8000000000000000000000000 -45136736863688365740036731/1000000000000000000000000000 6397033194721002143271081/40000000000000000000000000 -146583735064451467337612073/200000000000000000000000000 -28323658897724602649377801/500000000000000000000000000 -25734199264633906244499763/50000000000000000000000000 -19461919705541936522678191/250000000000000000000000000
106506315081469653803147723/125000000000000000000000000 3470677384295472965357111861/1000000000000000000000000000 1179139875283928840478300843/1000000000000000000000000000 -1085677472273461331640552621/500000000000000000000000000 568699157125044500406594187/500000000000000000000000000 -280903063691839996374901791/250000000000000000000000000 -1563795377110986863605001209/1000000000000000000000000000 -1246053268967462006561071377/1000000000000000000000000000 -80569351345856648051138917/31250000000000000000000000 -613419649601535100984224997/1000000000000000000000000000
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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 :
8300625773360697407733967/7812500000000000000000000 7662937359158808373418287/5000000000000000000000000 73442917492589849326254609/25000000000000000000000000 -493723649182229579612786471/500000000000000000000000000 13049241909351810782350021/12500000000000000000000000 73448605296733563142651619/125000000000000000000000000
7662937359158808373418287/5000000000000000000000000 1265849335993634781050070713/500000000000000000000000000 518920701864965052076268649/100000000000000000000000000 -52350325048192451670876243/31250000000000000000000000 802071063296373826560804629/500000000000000000000000000 383069500132258264395047769/250000000000000000000000000
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13049241909351810782350021/12500000000000000000000000 802071063296373826560804629/500000000000000000000000000 344761851235437218879239217/100000000000000000000000000 -162588875247811643661343571/125000000000000000000000000 624600932317222609147157497/500000000000000000000000000 235407545166994021390357867/250000000000000000000000000
73448605296733563142651619/125000000000000000000000000 383069500132258264395047769/250000000000000000000000000 193513405396116333803996623/50000000000000000000000000 -128400870185465185822137401/100000000000000000000000000 235407545166994021390357867/250000000000000000000000000 47727126286189806057367277/25000000000000000000000000


--- 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 :
42726882188984189989652509/200000000000000000000000000 6636724233458207464306757/100000000000000000000000000 2366244012309929880162349/40000000000000000000000000 -9006480358991939358170549/200000000000000000000000000 101987081018297510365259/50000000000000000000000000 -1810684306028971996585453/50000000000000000000000000 -7148193891289318431371917/100000000000000000000000000 -7123299620835667606425619/200000000000000000000000000 -9145411521436453459787967/50000000000000000000000000
6636724233458207464306757/100000000000000000000000000 425230163916793781882560549/500000000000000000000000000 -820432556779696473238107739/500000000000000000000000000 -10175663596255188460372673/31250000000000000000000000 -222965088182338750547935321/500000000000000000000000000 -197658786276813176851051843/125000000000000000000000000 214104926084271671060988361/500000000000000000000000000 151503154237469207220634777/250000000000000000000000000 -120932680110392415177290307/500000000000000000000000000
2366244012309929880162349/40000000000000000000000000 -820432556779696473238107739/500000000000000000000000000 3333979236983352508090286153/1000000000000000000000000000 610627057726229443320660691/1000000000000000000000000000 223363498070410944489595343/250000000000000000000000000 782293560798207055293862571/250000000000000000000000000 -460192809641141486096972221/500000000000000000000000000 -1243687103544662406129465403/1000000000000000000000000000 79835040665238546726380781/250000000000000000000000000
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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 :
297713611893458963680406411/1000000000000000000000000000 1795778477484568747/500000000000000000000000000 -95943076697485759649394531/500000000000000000000000000 95943076697485759649394531/500000000000000000000000000 47971539079151261239404681/250000000000000000000000000 424615054055758102926415893/1000000000000000000000000000 8635062506580078941/1000000000000000000000000000
1795778477484568747/500000000000000000000000000 5113897451395961714365211/250000000000000000000000000 2068907358834476393482929/250000000000000000000000000 -2068907358834476393482929/250000000000000000000000000 1034454265245800632004223/125000000000000000000000000 514698576113340057/100000000000000000000000000 26437344172015743404360173/500000000000000000000000000
-95943076697485759649394531/500000000000000000000000000 2068907358834476393482929/250000000000000000000000000 496191152203148632206321/3906250000000000000000000 -496191152203148632206321/3906250000000000000000000 -30082215477740390518961871/250000000000000000000000000 -136839140265045285389299851/500000000000000000000000000 10695642119198549129196807/500000000000000000000000000
95943076697485759649394531/500000000000000000000000000 -2068907358834476393482929/250000000000000000000000000 -496191152203148632206321/3906250000000000000000000 496191152203148632206321/3906250000000000000000000 30082215477740390518961871/250000000000000000000000000 136839140265045285389299851/500000000000000000000000000 -10695642119198549129196807/500000000000000000000000000
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424615054055758102926415893/1000000000000000000000000000 514698576113340057/100000000000000000000000000 -136839140265045285389299851/500000000000000000000000000 136839140265045285389299851/500000000000000000000000000 6841957117922913481571007/25000000000000000000000000 605608668626466938104007487/1000000000000000000000000000 2475831212738603007/200000000000000000000000000
8635062506580078941/1000000000000000000000000000 26437344172015743404360173/500000000000000000000000000 10695642119198549129196807/500000000000000000000000000 -10695642119198549129196807/500000000000000000000000000 5347823879143826130342489/250000000000000000000000000 2475831212738603007/200000000000000000000000000 136673285593324544735252939/1000000000000000000000000000


--- 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 :
3852325481313398716424090091/500000000000000000000000000 -119721032164521917609242663/62500000000000000000000000 356286350206734692883702833/100000000000000000000000000 -2444633425941996362764747567/500000000000000000000000000 -1532817375666944792645728521/500000000000000000000000000 -388922156867920954798815637/250000000000000000000000000 348967293044893734772439737/250000000000000000000000000 41996484066165560175915611/500000000000000000000000000 345173513105441956308054551/250000000000000000000000000 12297184299417167193251011/62500000000000000000000000 -29233879545779135272053801/500000000000000000000000000 -567237558072305141687991643/500000000000000000000000000
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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 :
760668898564592694077369/200000000000000000000000 889052789658242659049/800000000000000000000 95919492204822695620419/400000000000000000000000 -489734908393250771236531/400000000000000000000000
889052789658242659049/800000000000000000000 1039105009144770329/3200000000000000000 112108556414257398099/1600000000000000000000 -572391203744044262851/1600000000000000000000
95919492204822695620419/400000000000000000000000 112108556414257398099/1600000000000000000000 12095340038475059685969/800000000000000000000000 -61755020898974024648481/800000000000000000000000
-489734908393250771236531/400000000000000000000000 -572391203744044262851/1600000000000000000000 -61755020898974024648481/800000000000000000000000 315301809961643293539569/800000000000000000000000


--- 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 :
640027400941093681756099313/1000000000000000000000000000 -1777007509294123972780749/500000000000000000000000000 -17941464062524035501626299/1000000000000000000000000000 -190420271661786260875399763/1000000000000000000000000000 -14736068211287439422565987/250000000000000000000000000 -57163490948120798435110249/250000000000000000000000000
-1777007509294123972780749/500000000000000000000000000 363593712546743451754439/62500000000000000000000000 2003666497124914804423949/500000000000000000000000000 603486261462966148952879/125000000000000000000000000 -3355566607159212951521023/500000000000000000000000000 -2570148248490535232692911/250000000000000000000000000
-17941464062524035501626299/1000000000000000000000000000 2003666497124914804423949/500000000000000000000000000 25433661778108572095759573/1000000000000000000000000000 1575850538100315194775911/200000000000000000000000000 -1545790868418362795503941/500000000000000000000000000 -171901753712777064214029/125000000000000000000000000
-190420271661786260875399763/1000000000000000000000000000 603486261462966148952879/125000000000000000000000000 1575850538100315194775911/200000000000000000000000000 14776434072193481134535411/250000000000000000000000000 12959672562444477783765447/1000000000000000000000000000 30258649541720607048303223/500000000000000000000000000
-14736068211287439422565987/250000000000000000000000000 -3355566607159212951521023/500000000000000000000000000 -1545790868418362795503941/500000000000000000000000000 12959672562444477783765447/1000000000000000000000000000 13973184118216673954704419/1000000000000000000000000000 17540097650254303927737113/500000000000000000000000000
-57163490948120798435110249/250000000000000000000000000 -2570148248490535232692911/250000000000000000000000000 -171901753712777064214029/125000000000000000000000000 30258649541720607048303223/500000000000000000000000000 17540097650254303927737113/500000000000000000000000000 26174642033435840987577543/250000000000000000000000000


--- 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 :
757675445347718806222288227/1000000000000000000000000000 -757675445347718806222288227/1000000000000000000000000000 -142984622080873719/250000000000000000000000000 14797830298044228191273377/1000000000000000000000000000 -1849728734542444223381317/125000000000000000000000000 1479783019596505143593089/100000000000000000000000000 0/1 -237494207963961842389536373/1000000000000000000000000000 237494207963961842389536373/1000000000000000000000000000 37305847129802481/62500000000000000000000000
-757675445347718806222288227/1000000000000000000000000000 757675445347718806222288227/1000000000000000000000000000 142984622080873719/250000000000000000000000000 -14797830298044228191273377/1000000000000000000000000000 1849728734542444223381317/125000000000000000000000000 -1479783019596505143593089/100000000000000000000000000 0/1 237494207963961842389536373/1000000000000000000000000000 -237494207963961842389536373/1000000000000000000000000000 -37305847129802481/62500000000000000000000000
-142984622080873719/250000000000000000000000000 142984622080873719/250000000000000000000000000 757675444076820901454201369/1000000000000000000000000000 739891496535853585730857/50000000000000000000000000 -14797830132388556615675973/1000000000000000000000000000 -591913193849231412324563/40000000000000000000000000 0/1 -13191465518145591/1000000000000000000000000000 13191465518145591/1000000000000000000000000000 -237494208606000799888947833/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-237494207963961842389536373/1000000000000000000000000000 237494207963961842389536373/1000000000000000000000000000 -13191465518145591/1000000000000000000000000000 -4638396547576794964788313/1000000000000000000000000000 4638395890192404755815259/1000000000000000000000000000 -37107168536505338491723/8000000000000000000000000 0/1 18610705666508826644235963/250000000000000000000000000 -18610705666508826644235963/250000000000000000000000000 -126768196667716519/1000000000000000000000000000
237494207963961842389536373/1000000000000000000000000000 -237494207963961842389536373/1000000000000000000000000000 13191465518145591/1000000000000000000000000000 4638396547576794964788313/1000000000000000000000000000 -4638395890192404755815259/1000000000000000000000000000 37107168536505338491723/8000000000000000000000000 0/1 -18610705666508826644235963/250000000000000000000000000 18610705666508826644235963/250000000000000000000000000 126768196667716519/1000000000000000000000000000
37305847129802481/62500000000000000000000000 -37305847129802481/62500000000000000000000000 -237494208606000799888947833/1000000000000000000000000000 -1159598761591866732123049/250000000000000000000000000 4638397678244198826744601/1000000000000000000000000000 4638394827790945390767801/1000000000000000000000000000 0/1 -126768196667716519/1000000000000000000000000000 126768196667716519/1000000000000000000000000000 74442823193398704759148523/1000000000000000000000000000


--- 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 :
80178747251935074180721741/500000000000000000000000000 -12386389204382752876978907/250000000000000000000000000 -43247919924851399372640483/500000000000000000000000000 -36105515414999925451456309/250000000000000000000000000 67403591583915698560582801/500000000000000000000000000 209678830882049901259273/25000000000000000000000000
-12386389204382752876978907/250000000000000000000000000 1913507541348456610921789/125000000000000000000000000 6681141659472119347002741/250000000000000000000000000 5577749487028020223323443/125000000000000000000000000 -10412823195008051238681527/250000000000000000000000000 -32392169948281882371071/12500000000000000000000000
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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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