#Density : 12724075478611539271000378057/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 10, 12, 13}
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 :
893607389766061033319847/250000000000000000000000000 -652641989689103993896707/125000000000000000000000000 -555828727377688475640381/250000000000000000000000000 1802451612751988325751557/250000000000000000000000000 -679293127154564875032651/125000000000000000000000000 2424800312298563088836619/125000000000000000000000000
-652641989689103993896707/125000000000000000000000000 476654033508899781980367/62500000000000000000000000 405946918877991776290161/125000000000000000000000000 -1316412129461856982928217/125000000000000000000000000 496118567466580824095031/62500000000000000000000000 -1770941599790918474446839/62500000000000000000000000
-555828727377688475640381/250000000000000000000000000 405946918877991776290161/125000000000000000000000000 345728535502800748688463/250000000000000000000000000 -1121134849095279939396711/250000000000000000000000000 422524073443010534609673/125000000000000000000000000 -1508239174345646149182537/125000000000000000000000000
1802451612751988325751557/250000000000000000000000000 -1316412129461856982928217/125000000000000000000000000 -1121134849095279939396711/250000000000000000000000000 3635636694055048913493567/250000000000000000000000000 -1370168830957880522940081/125000000000000000000000000 4890945714592012022690289/125000000000000000000000000
-679293127154564875032651/125000000000000000000000000 496118567466580824095031/62500000000000000000000000 422524073443010534609673/125000000000000000000000000 -1370168830957880522940081/125000000000000000000000000 516377950634706330911583/62500000000000000000000000 -1843259361695595003831327/62500000000000000000000000
2424800312298563088836619/125000000000000000000000000 -1770941599790918474446839/62500000000000000000000000 -1508239174345646149182537/125000000000000000000000000 4890945714592012022690289/125000000000000000000000000 -1843259361695595003831327/62500000000000000000000000 6579686584801468759946463/62500000000000000000000000


--- 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 :
292013733397945461399/15625000000000000000000000 -64098606861497583418239/31250000000000000000000000 8399443350669257076939/2500000000000000000000000 -5652170716894905390453/1953125000000000000000000 138744470244161651717043/62500000000000000000000000 4476628198913882768253/3906250000000000000000000
-64098606861497583418239/31250000000000000000000000 14069993742334491266749479/62500000000000000000000000 -1843723618492515378700179/5000000000000000000000000 1240682294221387217013933/3906250000000000000000000 -30455167806329750721124923/125000000000000000000000000 -982644301171397767439733/7812500000000000000000000
8399443350669257076939/2500000000000000000000000 -1843723618492515378700179/5000000000000000000000000 241600447280875638960879/400000000000000000000000 -162578270523232947082833/312500000000000000000000 3990827090472216430160823/10000000000000000000000000 128765125260544536648633/625000000000000000000000
-5652170716894905390453/1953125000000000000000000 1240682294221387217013933/3906250000000000000000000 -162578270523232947082833/312500000000000000000000 109402504605453054382191/244140625000000000000000 -2685515584215548841558921/7812500000000000000000000 -86648893262309331478791/488281250000000000000000
138744470244161651717043/62500000000000000000000000 -30455167806329750721124923/125000000000000000000000000 3990827090472216430160823/10000000000000000000000000 -2685515584215548841558921/7812500000000000000000000 65921653065199626546367551/250000000000000000000000000 2126980127650229680153521/15625000000000000000000000
4476628198913882768253/3906250000000000000000000 -982644301171397767439733/7812500000000000000000000 128765125260544536648633/625000000000000000000000 -86648893262309331478791/488281250000000000000000 2126980127650229680153521/15625000000000000000000000 68627594319342899735391/976562500000000000000000


--- 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 :
1158753862127958255463624131/1000000000000000000000000000 8902686926726538403844629/6250000000000000000000000 577932415614270554073133981/1000000000000000000000000000 -293469957722638323058809809/500000000000000000000000000 6302541177863405778668471/200000000000000000000000000 -2446436162956757245750592353/1000000000000000000000000000 203831626680302439422833619/500000000000000000000000000 -976629857933478925768152753/500000000000000000000000000 90174198345864056744278323/1000000000000000000000000000 497998377899660731441236209/500000000000000000000000000 138369673312712452983025763/1000000000000000000000000000 -281720412078181308754631541/250000000000000000000000000
8902686926726538403844629/6250000000000000000000000 901399629114561340011933229/500000000000000000000000000 644302516940199747554593641/1000000000000000000000000000 -63712577920857271772129667/100000000000000000000000000 -22379712014031159080428957/250000000000000000000000000 -2964658565761251648063844039/1000000000000000000000000000 113006770716995472271383857/250000000000000000000000000 -2989370004689919178856551807/1000000000000000000000000000 22316971020501171496452911/500000000000000000000000000 1678000572560897282573490413/1000000000000000000000000000 95272723112127907753192587/500000000000000000000000000 -1377500279892349235107259181/1000000000000000000000000000
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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 :
45728766622032073222208763/50000000000000000000000000 -63181298537001871763072137/250000000000000000000000000 95764847655167223553753903/100000000000000000000000000 -79047644418600741249136767/125000000000000000000000000
-63181298537001871763072137/250000000000000000000000000 368930425969174075596693203/250000000000000000000000000 -86088549176902175268238657/500000000000000000000000000 209847875011906845011796007/125000000000000000000000000
95764847655167223553753903/100000000000000000000000000 -86088549176902175268238657/500000000000000000000000000 1295324253294067684305651137/1000000000000000000000000000 -70407388685861809380234019/125000000000000000000000000
-79047644418600741249136767/125000000000000000000000000 209847875011906845011796007/125000000000000000000000000 -70407388685861809380234019/125000000000000000000000000 255787290982804322240251983/125000000000000000000000000


--- 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 :
2313644501252895267516927571/1000000000000000000000000000 810845813173534981487002889/1000000000000000000000000000 -1116820508221570507129908711/500000000000000000000000000 504818340491065645242860923/500000000000000000000000000 -58920232846728516166164411/1000000000000000000000000000 12558770345986248038994073/10000000000000000000000000 -1914851242385871687426516777/1000000000000000000000000000 242078980541323520297039001/500000000000000000000000000 326098209047156484453883727/1000000000000000000000000000 -3024339236893280031208627469/1000000000000000000000000000
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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 :
3252295261603075879634264347/500000000000000000000000000 21367845405715957276327201/15625000000000000000000000 7672002470451427471650050901/1000000000000000000000000000 3820043271263352894423042343/1000000000000000000000000000 -80387818440985740553445439/200000000000000000000000000 201851083456184313360748567/200000000000000000000000000
21367845405715957276327201/15625000000000000000000000 24656994012529518018948821/62500000000000000000000000 50405682618379179009891873/31250000000000000000000000 401567938930280509538569/500000000000000000000000 -5281545306010221174552651/62500000000000000000000000 2811249948366184777744847/31250000000000000000000000
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201851083456184313360748567/200000000000000000000000000 2811249948366184777744847/31250000000000000000000000 1190391620920493004772972569/1000000000000000000000000000 296359883113379207519273291/500000000000000000000000000 -31182532566426532559065851/500000000000000000000000000 2112556125009717222446225177/1000000000000000000000000000


--- 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 :
3363441536830313666727/125000000000000000000000000 1134715629914255051877/6250000000000000000000000 -116583706876706119781199/250000000000000000000000000 -17461540320111634639623/125000000000000000000000000 -40863121318560936118293/250000000000000000000000000 -228901208412088021500057/50000000000000000000000000 -5085085268643148279917/250000000000000000000000000 50110098015034967609523/62500000000000000000000000 71974948794556378810683/250000000000000000000000000
1134715629914255051877/6250000000000000000000000 382816096748662854527/312500000000000000000000 -39331545661712055766749/12500000000000000000000000 -5890954995543379011973/6250000000000000000000000 -13785886253563495072143/12500000000000000000000000 -77223812588171786703707/2500000000000000000000000 -1715542152462634860567/12500000000000000000000000 16905515024286893036873/3125000000000000000000000 24282003556520155400033/12500000000000000000000000
-116583706876706119781199/250000000000000000000000000 -39331545661712055766749/12500000000000000000000000 4041027786652871139329463/500000000000000000000000000 605252410664506526168751/250000000000000000000000000 1416398681441012527862541/500000000000000000000000000 7934180241583015491431409/100000000000000000000000000 176259371215720940600229/500000000000000000000000000 -1736917652522461853565051/125000000000000000000000000 -2494797736439391075691971/500000000000000000000000000
-17461540320111634639623/125000000000000000000000000 -5890954995543379011973/6250000000000000000000000 605252410664506526168751/250000000000000000000000000 90652799227253780871527/125000000000000000000000000 212143732155396457026357/250000000000000000000000000 1188356520023436734772793/50000000000000000000000000 26399573317185231585933/250000000000000000000000000 -260150053851946285396627/62500000000000000000000000 -373662945126886561853467/250000000000000000000000000
-40863121318560936118293/250000000000000000000000000 -13785886253563495072143/12500000000000000000000000 1416398681441012527862541/500000000000000000000000000 212143732155396457026357/250000000000000000000000000 496454201927063479561887/500000000000000000000000000 2780966384247946541390763/100000000000000000000000000 61779714013883027854503/500000000000000000000000000 -608797564057869949430457/125000000000000000000000000 -874437992241976849410897/500000000000000000000000000
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50110098015034967609523/62500000000000000000000000 16905515024286893036873/3125000000000000000000000 -1736917652522461853565051/125000000000000000000000000 -260150053851946285396627/62500000000000000000000000 -608797564057869949430457/125000000000000000000000000 -3410275416916918014263693/25000000000000000000000000 -75759937681763250958833/125000000000000000000000000 746563273236728474551727/31250000000000000000000000 1072315870286019001700567/125000000000000000000000000
71974948794556378810683/250000000000000000000000000 24282003556520155400033/12500000000000000000000000 -2494797736439391075691971/500000000000000000000000000 -373662945126886561853467/250000000000000000000000000 -874437992241976849410897/500000000000000000000000000 -4898302103386103274901253/100000000000000000000000000 -108816742559306830325193/500000000000000000000000000 1072315870286019001700567/125000000000000000000000000 1540206124367775700982207/500000000000000000000000000


--- 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 :
3108430492728283121098537/500000000000000000000000000 -48180680934429071/500000000000000000000000000 -1547137639349708989628527/250000000000000000000000000 3094275169751594296904411/500000000000000000000000000 1547137694018560333602469/250000000000000000000000000 -5207747462108418386069617/500000000000000000000000000 114931116458121307/500000000000000000000000000
-48180680934429071/500000000000000000000000000 1338597895020127405275667/20000000000000000000000000 -3664503401146697421201467/50000000000000000000000000 91612585555281583298549/1250000000000000000000000 -18322517078005475225155493/250000000000000000000000000 3882133789528219/100000000000000000000000000 -81698219856723632760909677/500000000000000000000000000
-1547137639349708989628527/250000000000000000000000000 -3664503401146697421201467/50000000000000000000000000 6225703218350142987643787/25000000000000000000000000 3809906302863060386607077/50000000000000000000000000 -5532429027138512414655743/62500000000000000000000000 518403233008183667233619/50000000000000000000000000 44730894283705975476429281/250000000000000000000000000
3094275169751594296904411/500000000000000000000000000 91612585555281583298549/1250000000000000000000000 3809906302863060386607077/50000000000000000000000000 49805625852803316960832363/200000000000000000000000000 -59176847791123202325583477/250000000000000000000000000 -1036806464034113973759967/100000000000000000000000000 -89461789015253685622346953/500000000000000000000000000
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114931116458121307/500000000000000000000000000 -81698219856723632760909677/500000000000000000000000000 44730894283705975476429281/250000000000000000000000000 -89461789015253685622346953/500000000000000000000000000 11182723606064778513130063/62500000000000000000000000 -42876107461602619/500000000000000000000000000 39890091879501670200024899/100000000000000000000000000


--- 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 :
966746739311833528270304707/1000000000000000000000000000 10084833486335392458439509/31250000000000000000000000 191956669529228827163280079/500000000000000000000000000 54040000166972544902020823/200000000000000000000000000 -161413104801543038008956401/250000000000000000000000000 -248710112758200348698146229/1000000000000000000000000000 -163307242874484297378654337/1000000000000000000000000000 -31456062526545719841998897/50000000000000000000000000 -51886155562835609944954681/1000000000000000000000000000 -590450873153230243600933101/1000000000000000000000000000 309516024200227194326780933/200000000000000000000000000 -157720950755238510812310869/500000000000000000000000000
10084833486335392458439509/31250000000000000000000000 51259991917663386509035109/200000000000000000000000000 643970641761275298358949/15625000000000000000000000 83799051467518299865678711/1000000000000000000000000000 25618296613334672027204723/200000000000000000000000000 -105944974547064148558192693/500000000000000000000000000 -6011577521055500562827853/50000000000000000000000000 -38349871493519364592083149/125000000000000000000000000 -15337263899241687884936413/1000000000000000000000000000 -23299939012044757913964557/200000000000000000000000000 842674552228255080339406251/1000000000000000000000000000 -360078541660250872324947571/1000000000000000000000000000
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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 :
2818994113449023719926059/125000000000000000000000000 -12822777127632044367918741/125000000000000000000000000 -43431293661032376720274043/500000000000000000000000000 -933208161326725338083607/15625000000000000000000000
-12822777127632044367918741/125000000000000000000000000 452142031938229657368167149/500000000000000000000000000 323379653796801098279839657/500000000000000000000000000 16713240989967875874382943/62500000000000000000000000
-43431293661032376720274043/500000000000000000000000000 323379653796801098279839657/500000000000000000000000000 1201785166184160313424007483/1000000000000000000000000000 113795981543123312350773757/500000000000000000000000000
-933208161326725338083607/15625000000000000000000000 16713240989967875874382943/62500000000000000000000000 113795981543123312350773757/500000000000000000000000000 19776833360553329599730971/125000000000000000000000000


--- 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 :
1764628041377055765779163/200000000000000000000000000 1733142871006067247574403/200000000000000000000000000 833101142892749956099857/200000000000000000000000000 -130544898367240992058609/50000000000000000000000000 -984084471245098294094947/100000000000000000000000000 -620431675477778835914137/40000000000000000000000000
1733142871006067247574403/200000000000000000000000000 61374815139482262220054423/1000000000000000000000000000 818236631113718083708233/200000000000000000000000000 -641078330871063160118109/250000000000000000000000000 -966526059099516275259851/100000000000000000000000000 -15234042352300686955741801/1000000000000000000000000000
833101142892749956099857/200000000000000000000000000 818236631113718083708233/200000000000000000000000000 393316607248056241558083/200000000000000000000000000 -61631744185418253631479/50000000000000000000000000 -464597568707749967712873/100000000000000000000000000 -1464564559237208655982167/200000000000000000000000000
-130544898367240992058609/50000000000000000000000000 -641078330871063160118109/250000000000000000000000000 -61631744185418253631479/50000000000000000000000000 12071928254930076587543/15625000000000000000000000 72801295384164927881273/25000000000000000000000000 1147468306633314201311883/250000000000000000000000000
-984084471245098294094947/100000000000000000000000000 -966526059099516275259851/100000000000000000000000000 -464597568707749967712873/100000000000000000000000000 72801295384164927881273/25000000000000000000000000 548796813740997153522603/50000000000000000000000000 1729988311955539160551733/100000000000000000000000000
-620431675477778835914137/40000000000000000000000000 -15234042352300686955741801/1000000000000000000000000000 -1464564559237208655982167/200000000000000000000000000 1147468306633314201311883/250000000000000000000000000 1729988311955539160551733/100000000000000000000000000 27267464793584298052332247/1000000000000000000000000000


--- 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 :
429032519438569664254189153/1000000000000000000000000000 -23475003115178773710064379/100000000000000000000000000 -48570621997700630852220793/500000000000000000000000000 -40652609310161531275977/15625000000000000000000000 2601766745104587127094641/1000000000000000000000000000 -650441832992819095847261/250000000000000000000000000 -8442107049548515215947/976562500000000000000000 550614383461801080795159/500000000000000000000000000 1098810026113677152714937/1000000000000000000000000000 -55000968211830791261107/50000000000000000000000000
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-40652609310161531275977/15625000000000000000000000 325220911966313820630553/125000000000000000000000000 -650441778169346993788847/250000000000000000000000000 63262314163247797428821631/125000000000000000000000000 -33526986183231000028040751/250000000000000000000000000 -23249410461892125991394919/125000000000000000000000000 8499945640107447/31250000000000000000000000 -37206760570584108742079/500000000000000000000000000 37206925884627335316741/500000000000000000000000000 -4650839270081835405201/62500000000000000000000000
2601766745104587127094641/1000000000000000000000000000 -130088344809958282730093/50000000000000000000000000 2601767289853397343514133/1000000000000000000000000000 -33526986183231000028040751/250000000000000000000000000 253049256754808006511230197/500000000000000000000000000 -46498820965119094183724143/250000000000000000000000000 14272907761925997/1000000000000000000000000000 7441324874484571822189/100000000000000000000000000 -37206691429715753077029/500000000000000000000000000 37206841785811950297509/500000000000000000000000000
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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 :
8282735109135894809390843/62500000000000000000000000 2947096238969844267082659/62500000000000000000000000 -7758907631323349034627333/125000000000000000000000000 -863960201424591336285401/125000000000000000000000000 -762402653044428865636111/12500000000000000000000000 -9655261426137990062592031/125000000000000000000000000
2947096238969844267082659/62500000000000000000000000 4194448392860079086178143/250000000000000000000000000 -11042848633931267643210451/500000000000000000000000000 -1229629501216138509108017/500000000000000000000000000 -1085087938664912891518551/50000000000000000000000000 -13741830088882551259264467/500000000000000000000000000
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-863960201424591336285401/125000000000000000000000000 -1229629501216138509108017/500000000000000000000000000 3237282049070296165865263/1000000000000000000000000000 360473790268776208248349/1000000000000000000000000000 1590502512479346020738123/500000000000000000000000000 805701159978641701361507/200000000000000000000000000
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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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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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