#Density : 3302377147524928901654134297/19200000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 12, 13, 14, 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 :
10188193610557175178766239/250000000000000000000000000 -101589861843655817630873229/1000000000000000000000000000 26172473856195358925730603/500000000000000000000000000 -21237344148345597640354791/250000000000000000000000000 11467832467925146701060123/200000000000000000000000000 77617277626335837108001497/1000000000000000000000000000
-101589861843655817630873229/1000000000000000000000000000 316055675575643315117029461/1000000000000000000000000000 -126229655794314558085515009/1000000000000000000000000000 181306834139628180558911671/1000000000000000000000000000 -5598789424315938849993841/40000000000000000000000000 -58112378644055911953451407/250000000000000000000000000
26172473856195358925730603/500000000000000000000000000 -126229655794314558085515009/1000000000000000000000000000 16880782350485130805444383/250000000000000000000000000 -55588962470961546190582829/500000000000000000000000000 73850487741160440348393223/1000000000000000000000000000 97054494556188406012165323/1000000000000000000000000000
-21237344148345597640354791/250000000000000000000000000 181306834139628180558911671/1000000000000000000000000000 -55588962470961546190582829/500000000000000000000000000 47961800205466121175183363/250000000000000000000000000 -120962674178193628844711637/1000000000000000000000000000 -142899649213007116781471187/1000000000000000000000000000
11467832467925146701060123/200000000000000000000000000 -5598789424315938849993841/40000000000000000000000000 73850487741160440348393223/1000000000000000000000000000 -120962674178193628844711637/1000000000000000000000000000 80816390834889314700382089/1000000000000000000000000000 53683429472961468791686119/500000000000000000000000000
77617277626335837108001497/1000000000000000000000000000 -58112378644055911953451407/250000000000000000000000000 97054494556188406012165323/1000000000000000000000000000 -142899649213007116781471187/1000000000000000000000000000 53683429472961468791686119/500000000000000000000000000 34399761505854209204619843/200000000000000000000000000


--- 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 :
10729660827902271320427503/62500000000000000000000000 7277606432123595969004419/62500000000000000000000000 -2370835250881368063381591/62500000000000000000000000 -1102897938959621266839/3814697265625000000000 1486143502405387769225311/62500000000000000000000000 847996642697331836398721/6250000000000000000000000
7277606432123595969004419/62500000000000000000000000 36088284463715638511740639/125000000000000000000000000 37256122250302990653740943/250000000000000000000000000 -7596238515988156300190837/15625000000000000000000000 -27843945453412307175104959/125000000000000000000000000 7298367909580768116626487/25000000000000000000000000
-2370835250881368063381591/62500000000000000000000000 37256122250302990653740943/250000000000000000000000000 76996850591558655527842881/500000000000000000000000000 -5556423507911182482122439/31250000000000000000000000 -51074632009829588049748083/250000000000000000000000000 6829565185608600893802009/50000000000000000000000000
-1102897938959621266839/3814697265625000000000 -7596238515988156300190837/15625000000000000000000000 -5556423507911182482122439/31250000000000000000000000 1734503384541159306218281/1953125000000000000000000 4536445294370244691046297/15625000000000000000000000 -1578051230549706932162991/3125000000000000000000000
1486143502405387769225311/62500000000000000000000000 -27843945453412307175104959/125000000000000000000000000 -51074632009829588049748083/250000000000000000000000000 4536445294370244691046297/15625000000000000000000000 34422205698013398332531879/125000000000000000000000000 -5222551108232985532308347/25000000000000000000000000
847996642697331836398721/6250000000000000000000000 7298367909580768116626487/25000000000000000000000000 6829565185608600893802009/50000000000000000000000000 -1578051230549706932162991/3125000000000000000000000 -5222551108232985532308347/25000000000000000000000000 1488893622665647733632561/5000000000000000000000000


--- 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 :
146166511412858615920313587/500000000000000000000000000 84263610557221323361402561/200000000000000000000000000 110555401736085103274532039/500000000000000000000000000 189242585815753064300811207/250000000000000000000000000 6562893498426497480008617/15625000000000000000000000 -750221754469066603906706039/1000000000000000000000000000 8294215286133515194902069/31250000000000000000000000 6873933738294396664872989/8000000000000000000000000 335940796800727551624280107/1000000000000000000000000000 -104161561748860695030911827/125000000000000000000000000 -295144154876078799304313317/1000000000000000000000000000 -357056219613766444184782077/250000000000000000000000000
84263610557221323361402561/200000000000000000000000000 2111915739803430867918541529/1000000000000000000000000000 -10972710255982755411568461/62500000000000000000000000 518264273295708285286408433/200000000000000000000000000 -309705305750685530136576447/500000000000000000000000000 -149510632321416600636072899/100000000000000000000000000 58902064214203496952998359/125000000000000000000000000 73269972259462689381682717/31250000000000000000000000 -131942818018880758802496421/1000000000000000000000000000 -819518683864786689939506359/1000000000000000000000000000 -400497987972968708709651743/250000000000000000000000000 -167368874332460444888607073/62500000000000000000000000
110555401736085103274532039/500000000000000000000000000 -10972710255982755411568461/62500000000000000000000000 82264412880106963521307187/100000000000000000000000000 935012241663753827037183/3125000000000000000000000 1124437247830144132981245319/1000000000000000000000000000 -401630325340846216351758553/1000000000000000000000000000 186375988701435549529007453/1000000000000000000000000000 761154179334372249104049401/1000000000000000000000000000 414064160836114433965927101/500000000000000000000000000 -203245700786314019220913809/125000000000000000000000000 -70976461502483996407273167/1000000000000000000000000000 -423100121758758396839273013/250000000000000000000000000
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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 :
729396115779619464740092943/1000000000000000000000000000 938923039287299974050713949/1000000000000000000000000000 -282080979567247829988232153/1000000000000000000000000000 661494816834746425706154109/1000000000000000000000000000
938923039287299974050713949/1000000000000000000000000000 1208638837844951075565787207/1000000000000000000000000000 -363111791563933580604380179/1000000000000000000000000000 851516357790604891838565487/1000000000000000000000000000
-282080979567247829988232153/1000000000000000000000000000 -363111791563933580604380179/1000000000000000000000000000 963361519711639920570681513/1000000000000000000000000000 -255821359000432214504863689/1000000000000000000000000000
661494816834746425706154109/1000000000000000000000000000 851516357790604891838565487/1000000000000000000000000000 -255821359000432214504863689/1000000000000000000000000000 599914618727479251079486017/1000000000000000000000000000


--- 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 :
512113213768499853506015343/500000000000000000000000000 -60945021273403141680537881/1000000000000000000000000000 -233861865520906620040694547/1000000000000000000000000000 247295943138525607919305709/1000000000000000000000000000 194788825979344124271812121/1000000000000000000000000000 96641420678275168599879/40000000000000000000000000 -293743481173626583064388159/1000000000000000000000000000 2992407683017101048635461/40000000000000000000000000 87742981404293855548214979/1000000000000000000000000000 -2057602950860560311102922199/1000000000000000000000000000
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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 :
768948179044658889023544171/1000000000000000000000000000 -217498412841344786968049067/250000000000000000000000000 1725342189023698555769060769/1000000000000000000000000000 -1875085038541033314780386991/1000000000000000000000000000 30399917686308055444629267/125000000000000000000000000 2038020900554385913858374513/1000000000000000000000000000
-217498412841344786968049067/250000000000000000000000000 1486795060195347097183071639/1000000000000000000000000000 -2368324946899235360483652477/1000000000000000000000000000 2541729676213862056405508223/1000000000000000000000000000 -86200947366302745960731631/125000000000000000000000000 -690378573338926736290764351/250000000000000000000000000
1725342189023698555769060769/1000000000000000000000000000 -2368324946899235360483652477/1000000000000000000000000000 1124806223716006144035296629/250000000000000000000000000 -605153031328648198576270153/125000000000000000000000000 585454011120919146288425727/500000000000000000000000000 5260274902324325368243126557/1000000000000000000000000000
-1875085038541033314780386991/1000000000000000000000000000 2541729676213862056405508223/1000000000000000000000000000 -605153031328648198576270153/125000000000000000000000000 1303110413767163804299197739/250000000000000000000000000 -612126413418406288476933933/500000000000000000000000000 -5663733724156931071160323323/1000000000000000000000000000
30399917686308055444629267/125000000000000000000000000 -86200947366302745960731631/125000000000000000000000000 585454011120919146288425727/500000000000000000000000000 -612126413418406288476933933/500000000000000000000000000 349712085820149539096649453/500000000000000000000000000 664506578482886329404352479/500000000000000000000000000
2038020900554385913858374513/1000000000000000000000000000 -690378573338926736290764351/250000000000000000000000000 5260274902324325368243126557/1000000000000000000000000000 -5663733724156931071160323323/1000000000000000000000000000 664506578482886329404352479/500000000000000000000000000 6154102267148457346472925789/1000000000000000000000000000


--- 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 :
6422191614675775185484181/1000000000000000000000000000 -5081418413906278518741877/1000000000000000000000000000 177069390632198409133229/500000000000000000000000000 743193534933775270430729/200000000000000000000000000 -1376051257082547058380703/125000000000000000000000000 -3055972110383880763960199/500000000000000000000000000 2654074413663971711451983/1000000000000000000000000000 -2394938799049509942011027/1000000000000000000000000000 934037577118654462456863/62500000000000000000000000
-5081418413906278518741877/1000000000000000000000000000 4020560993256717849735509/1000000000000000000000000000 -140102275995862126942093/500000000000000000000000000 -588035602188932891999593/200000000000000000000000000 1088770409814554149292351/125000000000000000000000000 2417970980280794421996583/500000000000000000000000000 -2099978232765713006608111/1000000000000000000000000000 1894942854999687797531059/1000000000000000000000000000 -739036769442568325275071/62500000000000000000000000
177069390632198409133229/500000000000000000000000000 -140102275995862126942093/500000000000000000000000000 4882066898659634739461/250000000000000000000000000 20490952971847247416961/100000000000000000000000000 -37939783206324998769127/62500000000000000000000000 -84257703886959713154191/250000000000000000000000000 73176785639043018138647/500000000000000000000000000 -66032030682490781904443/500000000000000000000000000 25752807535364214270567/31250000000000000000000000
743193534933775270430729/200000000000000000000000000 -588035602188932891999593/200000000000000000000000000 20490952971847247416961/100000000000000000000000000 86004383473264741344461/40000000000000000000000000 -159240405668411842261627/25000000000000000000000000 -353645430040611805906691/100000000000000000000000000 307136732102596323431147/200000000000000000000000000 -277148851795122636586943/200000000000000000000000000 108089376703350947363067/12500000000000000000000000
-1376051257082547058380703/125000000000000000000000000 1088770409814554149292351/125000000000000000000000000 -37939783206324998769127/62500000000000000000000000 -159240405668411842261627/25000000000000000000000000 294839702040570828344189/15625000000000000000000000 654788040657868461469237/62500000000000000000000000 -568675407467939737458829/125000000000000000000000000 513151700042232425443801/125000000000000000000000000 -200131615384906045270269/7812500000000000000000000
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-2394938799049509942011027/1000000000000000000000000000 1894942854999687797531059/1000000000000000000000000000 -66032030682490781904443/500000000000000000000000000 -277148851795122636586943/200000000000000000000000000 513151700042232425443801/125000000000000000000000000 1139621271848498298544433/500000000000000000000000000 -989747140886160752411561/1000000000000000000000000000 893111292114923575999109/1000000000000000000000000000 -348317672132334465970521/62500000000000000000000000
934037577118654462456863/62500000000000000000000000 -739036769442568325275071/62500000000000000000000000 25752807535364214270567/31250000000000000000000000 108089376703350947363067/12500000000000000000000000 -200131615384906045270269/7812500000000000000000000 -444457742307529309949877/31250000000000000000000000 386006114978938130525709/62500000000000000000000000 -348317672132334465970521/62500000000000000000000000 135845556752938908173949/3906250000000000000000000


--- 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 :
1504525678643277088620479/1000000000000000000000000000 1113232357196416569/250000000000000000000000000 43460018868911217665757/1953125000000000000000000 -43460018868911217665757/1953125000000000000000000 -11125764927742776224501049/500000000000000000000000000 -356807156204325132023711/125000000000000000000000000 -904545261964300873/1000000000000000000000000000
1113232357196416569/250000000000000000000000000 5219083073852027236265842541/1000000000000000000000000000 -82220668277370203222219813/500000000000000000000000000 82220668277370203222219813/500000000000000000000000000 -164441338045673003414354549/1000000000000000000000000000 -978739168434322731/500000000000000000000000000 -1475780963994767635845400033/1000000000000000000000000000
43460018868911217665757/1953125000000000000000000 -82220668277370203222219813/500000000000000000000000000 85769653268704939932543309/250000000000000000000000000 -85769653268704939932543309/250000000000000000000000000 -157554828312415284213637923/500000000000000000000000000 -10554163563801622110696177/250000000000000000000000000 62751942224851784415722869/500000000000000000000000000
-43460018868911217665757/1953125000000000000000000 82220668277370203222219813/500000000000000000000000000 -85769653268704939932543309/250000000000000000000000000 85769653268704939932543309/250000000000000000000000000 157554828312415284213637923/500000000000000000000000000 10554163563801622110696177/250000000000000000000000000 -62751942224851784415722869/500000000000000000000000000
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-356807156204325132023711/125000000000000000000000000 -978739168434322731/500000000000000000000000000 -10554163563801622110696177/250000000000000000000000000 10554163563801622110696177/250000000000000000000000000 42216654308838687432019671/1000000000000000000000000000 5415611249213790455723861/1000000000000000000000000000 300067321012045601/1000000000000000000000000000
-904545261964300873/1000000000000000000000000000 -1475780963994767635845400033/1000000000000000000000000000 62751942224851784415722869/500000000000000000000000000 -62751942224851784415722869/500000000000000000000000000 62751942729077905418741171/500000000000000000000000000 300067321012045601/1000000000000000000000000000 1126336276545105790152386629/1000000000000000000000000000


--- 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 :
215873875408292594312831111/250000000000000000000000000 -64475057111884946037596957/250000000000000000000000000 464485172683207269444533499/500000000000000000000000000 179292177537324366232795213/500000000000000000000000000 -561237794747058943580541791/500000000000000000000000000 -54265890033062737741185711/62500000000000000000000000 237546100891879717258859443/500000000000000000000000000 31883975183889983746669039/50000000000000000000000000 59140964258681467330193/1953125000000000000000000 -83103725542539221571432983/250000000000000000000000000 -44737587361219788407485531/500000000000000000000000000 -64277561555504400974979803/100000000000000000000000000
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59140964258681467330193/1953125000000000000000000 -1009360547619767296628714933/500000000000000000000000000 -1411010979621834669838353293/250000000000000000000000000 -152499047724775604305388027/200000000000000000000000000 1113197282704838167178359013/500000000000000000000000000 -3076485745360649958350510123/1000000000000000000000000000 2139096007637366737011955601/1000000000000000000000000000 -631818848025056433790231573/1000000000000000000000000000 3584941945252784551709137301/500000000000000000000000000 -188713556637233064561901707/200000000000000000000000000 2072048445124199143987325251/1000000000000000000000000000 -933116326097038515352955777/500000000000000000000000000
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-64277561555504400974979803/100000000000000000000000000 9936057704217144214741771/500000000000000000000000000 247412742651530209015269873/1000000000000000000000000000 35111602006862514172688249/200000000000000000000000000 802146330727681096491270151/1000000000000000000000000000 112802138303223785029343613/100000000000000000000000000 -711577059991301108933383427/1000000000000000000000000000 -9292402964915879893563227/62500000000000000000000000 -933116326097038515352955777/500000000000000000000000000 41960010387217140645980077/50000000000000000000000000 -454517854101347685258199693/1000000000000000000000000000 1224996373229498673582297269/1000000000000000000000000000


--- 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 :
11621491421353746118431160889/1000000000000000000000000000 -1578935645803022212217581457/1000000000000000000000000000 -8550871362189230825738128149/1000000000000000000000000000 -1118758584808423265508865219/1000000000000000000000000000
-1578935645803022212217581457/1000000000000000000000000000 1655474710702204045611137523/1000000000000000000000000000 203988237555161925755807119/200000000000000000000000000 958355501712118135161101393/1000000000000000000000000000
-8550871362189230825738128149/1000000000000000000000000000 203988237555161925755807119/200000000000000000000000000 6331835742576932896660715511/1000000000000000000000000000 627307203509244778342119303/1000000000000000000000000000
-1118758584808423265508865219/1000000000000000000000000000 958355501712118135161101393/1000000000000000000000000000 627307203509244778342119303/1000000000000000000000000000 537366876363473932315363081/500000000000000000000000000


--- Term 16 ---

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

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

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

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 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 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 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 :
5153739147402887/50000000000000000000000000 -5153739147402887/50000000000000000000000000 -214590686113/50000000000000000000000000 172124722926602533287/50000000000000000000000000 -344224391217075304331/100000000000000000000000000 344238735563342463249/100000000000000000000000000 0/1 2901245194454273/2500000000000000000000000 -2901245194454273/2500000000000000000000000 -157610333221/6250000000000000000000000
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--- Term 18 ---

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

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

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

Matrix :
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

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

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

Matrix :
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