#Density : 9640526755648533842782483229/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {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 :
4878162976701646489027829/25000000000000000000000000 229248977216437942683953669/500000000000000000000000000 -242456337405456396478997041/500000000000000000000000000 -97808307321527137630768341/250000000000000000000000000 1711972100663426913571419/100000000000000000000000000 36748227330762902347628773/500000000000000000000000000
229248977216437942683953669/500000000000000000000000000 1169654612530716076509352161/1000000000000000000000000000 -1139422106878531402657244807/1000000000000000000000000000 -94051639418142891035162059/100000000000000000000000000 41324476815876296136798687/1000000000000000000000000000 128900917363546617555380067/1000000000000000000000000000
-242456337405456396478997041/500000000000000000000000000 -1139422106878531402657244807/1000000000000000000000000000 1205065837874400948131957121/1000000000000000000000000000 243065310384839538581017639/250000000000000000000000000 -42544548773616298766300421/1000000000000000000000000000 -182647456632529167833703781/1000000000000000000000000000
-97808307321527137630768341/250000000000000000000000000 -94051639418142891035162059/100000000000000000000000000 243065310384839538581017639/250000000000000000000000000 811528815245711959879761091/1000000000000000000000000000 -1796539825787470172972583/50000000000000000000000000 -15288676518392716116245069/100000000000000000000000000
1711972100663426913571419/100000000000000000000000000 41324476815876296136798687/1000000000000000000000000000 -42544548773616298766300421/1000000000000000000000000000 -1796539825787470172972583/50000000000000000000000000 20128777518840197990295713/1000000000000000000000000000 -9543481820581921134233337/1000000000000000000000000000
36748227330762902347628773/500000000000000000000000000 128900917363546617555380067/1000000000000000000000000000 -182647456632529167833703781/1000000000000000000000000000 -15288676518392716116245069/100000000000000000000000000 -9543481820581921134233337/1000000000000000000000000000 60877868087686302518037627/500000000000000000000000000


--- 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 :
2807217507844735797522409/250000000000000000000000000 -3340702292234807220854439/125000000000000000000000000 -3340702297832668815697497/62500000000000000000000000 14857018104295865039213339/250000000000000000000000000 0/1 -15354234780181147575065351/500000000000000000000000000
-3340702292234807220854439/125000000000000000000000000 7951141494490963490450351/125000000000000000000000000 3975570753907163289748361/31250000000000000000000000 -35360904027838788651749841/250000000000000000000000000 0/1 9136079980954768011787253/125000000000000000000000000
-3340702297832668815697497/62500000000000000000000000 3975570753907163289748361/31250000000000000000000000 3180456608455075877788103/12500000000000000000000000 -35360904098515143085652097/125000000000000000000000000 0/1 9136080003784323112770529/62500000000000000000000000
14857018104295865039213339/250000000000000000000000000 -35360904027838788651749841/250000000000000000000000000 -35360904098515143085652097/125000000000000000000000000 199485494652946534457118341/500000000000000000000000000 0/1 -59844557527651793048864123/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-15354234780181147575065351/500000000000000000000000000 9136079980954768011787253/125000000000000000000000000 9136080003784323112770529/62500000000000000000000000 -59844557527651793048864123/250000000000000000000000000 0/1 238329463730894536855446959/1000000000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

Flags :
F1 : {1}
F2 : {1, 2}
F3 : {1, 3}
F4 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 58774842274979383079713831/500000000000000000000000000 -23921565209013198700639463/500000000000000000000000000
0/1 0/1 -23921565209013198700639463/500000000000000000000000000 29295341684745537692057697/500000000000000000000000000


--- 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 :
34122037929163148815274107/250000000000000000000000000 -1498378534539034846934463/250000000000000000000000000 -10742143430943319528393161/250000000000000000000000000
-1498378534539034846934463/250000000000000000000000000 405296320996287880489539/62500000000000000000000000 -154460700261229528387587/31250000000000000000000000
-10742143430943319528393161/250000000000000000000000000 -154460700261229528387587/31250000000000000000000000 12406934495394532887064207/250000000000000000000000000


--- 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 :
7390649/1000000000


--- 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 :
4926237860938895395697/2500000000000000000000000 -93798754589026094590499/10000000000000000000000000 3028323457450877788351611/250000000000000000000000000
-93798754589026094590499/10000000000000000000000000 1785988945482118284690541/40000000000000000000000000 -57661236949867258023661653/1000000000000000000000000000
3028323457450877788351611/250000000000000000000000000 -57661236949867258023661653/1000000000000000000000000000 151334186062027322171054853/1000000000000000000000000000


--- 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 :
82583419091237399845568553/1000000000000000000000000000 2302219613398576813006959/100000000000000000000000000 51416110607951434731166629/1000000000000000000000000000 14268078286759001392850383/200000000000000000000000000 -98277606411118704272773213/250000000000000000000000000 41227431755364361129666583/125000000000000000000000000 49965895647613791630559857/250000000000000000000000000 140898835121793414940752969/1000000000000000000000000000 -6969081586670265183431/20000000000000000000000000 3713512792199823708264647/1000000000000000000000000000 -29957061118044660925074443/50000000000000000000000000 4048876217995607270950087/20000000000000000000000000
2302219613398576813006959/100000000000000000000000000 2639826776188121728257883531/1000000000000000000000000000 -218257686764782942126822607/500000000000000000000000000 73807068643314995398500639/1000000000000000000000000000 -27397346852077026107336617/250000000000000000000000000 -403841633814674747019793959/1000000000000000000000000000 -93528650832474640077968219/200000000000000000000000000 -322465708532263097497791987/1000000000000000000000000000 -8341547518508418711230591/125000000000000000000000000 -60622358333612556371052923/1000000000000000000000000000 -96680212771438424984159459/500000000000000000000000000 -96679563801164216250184329/125000000000000000000000000
51416110607951434731166629/1000000000000000000000000000 -218257686764782942126822607/500000000000000000000000000 827096985172548718174761657/1000000000000000000000000000 -195803620492092306439605531/1000000000000000000000000000 -61187249165870885596454107/250000000000000000000000000 129251493396243372954399927/500000000000000000000000000 14768671059205137445353493/500000000000000000000000000 123851712938648953941623771/1000000000000000000000000000 -136582586651852064738462231/500000000000000000000000000 -9706597877971197565397909/40000000000000000000000000 -11789096987444827227962863/31250000000000000000000000 119408536323544936925838033/500000000000000000000000000
14268078286759001392850383/200000000000000000000000000 73807068643314995398500639/1000000000000000000000000000 -195803620492092306439605531/1000000000000000000000000000 1983419899366143710174805949/1000000000000000000000000000 -169795900171313648168615093/500000000000000000000000000 13367389064702392643226179/62500000000000000000000000 -3905244826172627322475249/250000000000000000000000000 -28660123262396717124640751/100000000000000000000000000 -8777413109937634098405663/15625000000000000000000000 -439947423452795978869219893/1000000000000000000000000000 -263336590589992038029671339/500000000000000000000000000 19046184645427346485980249/100000000000000000000000000
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4048876217995607270950087/20000000000000000000000000 -96679563801164216250184329/125000000000000000000000000 119408536323544936925838033/500000000000000000000000000 19046184645427346485980249/100000000000000000000000000 -481832627639734288622795877/500000000000000000000000000 281167861251387735952798109/500000000000000000000000000 -1088551992069721491137277/20000000000000000000000000 -82014628449950675441240529/100000000000000000000000000 -24731206777013085702017323/100000000000000000000000000 -185601330351342391418776041/500000000000000000000000000 -18543806279141315507328443/12500000000000000000000000 1310288774078534263067252697/250000000000000000000000000


--- 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 :
3064893134362362649543719261/1000000000000000000000000000 105466597469679883804025971/100000000000000000000000000 212215315968157320632054743/125000000000000000000000000 2492186344521392128234657/100000000000000000000000000
105466597469679883804025971/100000000000000000000000000 4980521217765892873221641393/1000000000000000000000000000 1519132307037187888909261777/1000000000000000000000000000 1297310187827995067274568433/1000000000000000000000000000
212215315968157320632054743/125000000000000000000000000 1519132307037187888909261777/1000000000000000000000000000 4772494512459653307830921573/1000000000000000000000000000 789078728541346917727357483/1000000000000000000000000000
2492186344521392128234657/100000000000000000000000000 1297310187827995067274568433/1000000000000000000000000000 789078728541346917727357483/1000000000000000000000000000 8170138854842763332323529227/1000000000000000000000000000


--- 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 :
4300594480114863469091792583/1000000000000000000000000000 -81538096164976864171023927/1000000000000000000000000000 -69627211164446315479390901/1000000000000000000000000000 173760340159831412798781597/1000000000000000000000000000 -313230200119601761939348347/1000000000000000000000000000 5230508183671206753757501/200000000000000000000000000 -495810446114061632717563/100000000000000000000000000 -969318372271781678049417623/1000000000000000000000000000 -13490681196750415859424839/25000000000000000000000000 -302025519792463644246508891/200000000000000000000000000
-81538096164976864171023927/1000000000000000000000000000 51299936640374437771396167/15625000000000000000000000 203051746531539781885202599/125000000000000000000000000 -1642372820237652442990014977/1000000000000000000000000000 -407909843182024236036886193/1000000000000000000000000000 -493616630896871857104386221/1000000000000000000000000000 124255710573158219248773219/500000000000000000000000000 -555322344869739924671956981/500000000000000000000000000 -228218359524375903134629999/250000000000000000000000000 430412345417204432318539/15625000000000000000000000
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-302025519792463644246508891/200000000000000000000000000 430412345417204432318539/15625000000000000000000000 533838006388357608977297609/1000000000000000000000000000 -238985551493681927122116849/250000000000000000000000000 -98572085059087305077788877/1000000000000000000000000000 -110756492262112456297432327/200000000000000000000000000 13525649500475482042284703/62500000000000000000000000 -18973344052215249404154423/40000000000000000000000000 -2521539608821953926231849/15625000000000000000000000 2386149643086535727301955443/500000000000000000000000000


--- 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 :
238282844446517704093893281/62500000000000000000000000 -181666368788059422932410959/250000000000000000000000000 866322703423804929403335251/1000000000000000000000000000 -79402812825938311030232577/1000000000000000000000000000 9973332744105644981639047/62500000000000000000000000 100204317333368865607598733/250000000000000000000000000
-181666368788059422932410959/250000000000000000000000000 736027670954967382242663703/250000000000000000000000000 17035097830612827857422643/62500000000000000000000000 -10364035627460637753448817/250000000000000000000000000 33229791102956634223594009/500000000000000000000000000 3308511484561143230587091/31250000000000000000000000
866322703423804929403335251/1000000000000000000000000000 17035097830612827857422643/62500000000000000000000000 3241242408804327192508855089/500000000000000000000000000 -67747430588496070609667301/500000000000000000000000000 69078477074921087296648221/250000000000000000000000000 715217162942535445855263549/1000000000000000000000000000
-79402812825938311030232577/1000000000000000000000000000 -10364035627460637753448817/250000000000000000000000000 -67747430588496070609667301/500000000000000000000000000 925601459408626386928708147/500000000000000000000000000 -307771439573184494026790777/500000000000000000000000000 -87553119493285239949386179/1000000000000000000000000000
9973332744105644981639047/62500000000000000000000000 33229791102956634223594009/500000000000000000000000000 69078477074921087296648221/250000000000000000000000000 -307771439573184494026790777/500000000000000000000000000 1230507939111687003568368603/1000000000000000000000000000 108201657377691073281955593/500000000000000000000000000
100204317333368865607598733/250000000000000000000000000 3308511484561143230587091/31250000000000000000000000 715217162942535445855263549/1000000000000000000000000000 -87553119493285239949386179/1000000000000000000000000000 108201657377691073281955593/500000000000000000000000000 211351873460955784743145281/62500000000000000000000000


--- 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 :
192354885144865600306199207/125000000000000000000000000 0/1 -166050186552748820050664033/1000000000000000000000000000 -30784076455286929885945919/1000000000000000000000000000 -36656781744463906838213821/100000000000000000000000000 -183174393047187389103131311/1000000000000000000000000000 0/1 -2646812799956511167996813/250000000000000000000000000 -233431925098581833857870637/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-166050186552748820050664033/1000000000000000000000000000 0/1 283574795478239958459551581/250000000000000000000000000 -80245360082909668490171503/500000000000000000000000000 -65233729404471676775140961/500000000000000000000000000 -22787407963560408625709677/1000000000000000000000000000 0/1 -23694706089391247604363551/250000000000000000000000000 -17601159422597832815485787/250000000000000000000000000
-30784076455286929885945919/1000000000000000000000000000 0/1 -80245360082909668490171503/500000000000000000000000000 383294201156013848811226767/1000000000000000000000000000 -43462692521810567744913399/1000000000000000000000000000 -191264511196483183655487711/1000000000000000000000000000 0/1 -21885355191111789760337103/500000000000000000000000000 -18155070052077213053338691/1000000000000000000000000000
-36656781744463906838213821/100000000000000000000000000 0/1 -65233729404471676775140961/500000000000000000000000000 -43462692521810567744913399/1000000000000000000000000000 1425478521418058084494512987/1000000000000000000000000000 -76587778731491260358258709/500000000000000000000000000 0/1 -14360715980804825416368567/500000000000000000000000000 -40299512425783417003662743/200000000000000000000000000
-183174393047187389103131311/1000000000000000000000000000 0/1 -22787407963560408625709677/1000000000000000000000000000 -191264511196483183655487711/1000000000000000000000000000 -76587778731491260358258709/500000000000000000000000000 316642233533801350903923801/250000000000000000000000000 0/1 -12390890478983335766364567/500000000000000000000000000 -191311316475525395830449037/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-2646812799956511167996813/250000000000000000000000000 0/1 -23694706089391247604363551/250000000000000000000000000 -21885355191111789760337103/500000000000000000000000000 -14360715980804825416368567/500000000000000000000000000 -12390890478983335766364567/500000000000000000000000000 0/1 114747384174603374776140607/500000000000000000000000000 -3046497080593273246333541/31250000000000000000000000
-233431925098581833857870637/1000000000000000000000000000 0/1 -17601159422597832815485787/250000000000000000000000000 -18155070052077213053338691/1000000000000000000000000000 -40299512425783417003662743/200000000000000000000000000 -191311316475525395830449037/1000000000000000000000000000 0/1 -3046497080593273246333541/31250000000000000000000000 1451072386752570222036877641/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 305519211596595719577641737/125000000000000000000000000 7441085497797427111601453/500000000000000000000000000 -7440555077983610357130221/500000000000000000000000000 465063752888010184481971/31250000000000000000000000 -23841360066087095303/500000000000000000000000000 -1324979690834548679286067/15625000000000000000000000
0/1 7441085497797427111601453/500000000000000000000000000 923334072624136962562462971/200000000000000000000000000 -1529091035044945174948475121/1000000000000000000000000000 -2011664936617766714190178887/1000000000000000000000000000 -164571057921442383697826923/1000000000000000000000000000 70343688449522674695637517/1000000000000000000000000000
0/1 -7440555077983610357130221/500000000000000000000000000 -1529091035044945174948475121/1000000000000000000000000000 4616666812223909657102042711/1000000000000000000000000000 -1075947648976847983414419287/1000000000000000000000000000 164572817135517843392844193/1000000000000000000000000000 -70344427841512801958511613/1000000000000000000000000000
0/1 465063752888010184481971/31250000000000000000000000 -2011664936617766714190178887/1000000000000000000000000000 -1075947648976847983414419287/1000000000000000000000000000 4616677595364372159998280823/1000000000000000000000000000 164572467452434213404434617/1000000000000000000000000000 1758597183994089557193501/25000000000000000000000000
0/1 -23841360066087095303/500000000000000000000000000 -164571057921442383697826923/1000000000000000000000000000 164572817135517843392844193/1000000000000000000000000000 164572467452434213404434617/1000000000000000000000000000 3129774641623895508291924247/1000000000000000000000000000 39920242504591418563/1000000000000000000000000000
0/1 -1324979690834548679286067/15625000000000000000000000 70343688449522674695637517/1000000000000000000000000000 -70344427841512801958511613/1000000000000000000000000000 1758597183994089557193501/25000000000000000000000000 39920242504591418563/1000000000000000000000000000 851700589858357547466235881/1000000000000000000000000000


--- 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 :
833726603327306691776866131/250000000000000000000000000 -127885307261496985389835587/250000000000000000000000000 -59850204089663475453757963/250000000000000000000000000 -49051509856025354788639891/500000000000000000000000000 -163989343714632949005207483/500000000000000000000000000 -34888590260607369509041369/500000000000000000000000000 14175021608064456260116817/500000000000000000000000000 -1266097488730889332887663/500000000000000000000000000 -8295403033598050110143253/62500000000000000000000000 294403787501709597555253/12500000000000000000000000 -311413780349759684311677813/500000000000000000000000000 -49136782194002045836866349/125000000000000000000000000
-127885307261496985389835587/250000000000000000000000000 5202340023939113987598939079/1000000000000000000000000000 -291715340734126729535171643/500000000000000000000000000 77806580738623580881797381/500000000000000000000000000 -18026886546862000702676249/31250000000000000000000000 -7437588134091214944806819/125000000000000000000000000 -16959350416018910069558599/1000000000000000000000000000 -103298789083573794001599581/1000000000000000000000000000 -489003440587620751098582039/1000000000000000000000000000 3791100478376404791455257/250000000000000000000000000 -385845843598578172274849093/500000000000000000000000000 -14254805942338746481532813/50000000000000000000000000
-59850204089663475453757963/250000000000000000000000000 -291715340734126729535171643/500000000000000000000000000 2647384616431925139145517983/1000000000000000000000000000 -580479290266597404065782331/1000000000000000000000000000 17883464234990499950799257/500000000000000000000000000 -20766150643381567795905921/500000000000000000000000000 31949951312861265694491457/1000000000000000000000000000 114188041695976145922264549/1000000000000000000000000000 -302944562338975378014609939/1000000000000000000000000000 -22618899988007468370977259/125000000000000000000000000 -80752960058287294290236523/500000000000000000000000000 -4750842724476238410260207/20000000000000000000000000
-49051509856025354788639891/500000000000000000000000000 77806580738623580881797381/500000000000000000000000000 -580479290266597404065782331/1000000000000000000000000000 87271620317594079392156847/40000000000000000000000000 -237257462712688275159733587/500000000000000000000000000 47242876404531815594173161/500000000000000000000000000 -71518888437404903301471643/1000000000000000000000000000 -126604455441947557465111877/1000000000000000000000000000 -901307117060090669830613891/1000000000000000000000000000 -2184850672245223333007143/20000000000000000000000000 -183440715469256680064056537/500000000000000000000000000 9836436796167942567415749/25000000000000000000000000
-163989343714632949005207483/500000000000000000000000000 -18026886546862000702676249/31250000000000000000000000 17883464234990499950799257/500000000000000000000000000 -237257462712688275159733587/500000000000000000000000000 810123157326054298043452287/250000000000000000000000000 -140829557141253648284818663/250000000000000000000000000 17799810532612506356304939/250000000000000000000000000 85175566953233611370393/800000000000000000000000 63908012011649295370122887/250000000000000000000000000 822307539868645780651159/500000000000000000000000000 -6015675083089428753852541/50000000000000000000000000 -57839377014777188796767571/100000000000000000000000000
-34888590260607369509041369/500000000000000000000000000 -7437588134091214944806819/125000000000000000000000000 -20766150643381567795905921/500000000000000000000000000 47242876404531815594173161/500000000000000000000000000 -140829557141253648284818663/250000000000000000000000000 33559653796395714467120509/62500000000000000000000000 -110025807166867388007659/3125000000000000000000000 -9576636353111309964785779/125000000000000000000000000 -5158183683300729994237547/50000000000000000000000000 -5556143025330037508961277/500000000000000000000000000 -23980167917808781042501927/250000000000000000000000000 507135240319692883886287/2500000000000000000000000
14175021608064456260116817/500000000000000000000000000 -16959350416018910069558599/1000000000000000000000000000 31949951312861265694491457/1000000000000000000000000000 -71518888437404903301471643/1000000000000000000000000000 17799810532612506356304939/250000000000000000000000000 -110025807166867388007659/3125000000000000000000000 510524749032098423234421/15625000000000000000000000 1706337680720149776173633/62500000000000000000000000 5849626848013929714716781/100000000000000000000000000 -290060118536702637766059/500000000000000000000000000 24354843478847166639955169/500000000000000000000000000 -86678517294573339982009141/500000000000000000000000000
-1266097488730889332887663/500000000000000000000000000 -103298789083573794001599581/1000000000000000000000000000 114188041695976145922264549/1000000000000000000000000000 -126604455441947557465111877/1000000000000000000000000000 85175566953233611370393/800000000000000000000000 -9576636353111309964785779/125000000000000000000000000 1706337680720149776173633/62500000000000000000000000 99897777694657952121833019/250000000000000000000000000 34325002021766222705568403/250000000000000000000000000 -72244750917883608534858623/500000000000000000000000000 9844091420615617501850053/500000000000000000000000000 -15388008254761461507428681/50000000000000000000000000
-8295403033598050110143253/62500000000000000000000000 -489003440587620751098582039/1000000000000000000000000000 -302944562338975378014609939/1000000000000000000000000000 -901307117060090669830613891/1000000000000000000000000000 63908012011649295370122887/250000000000000000000000000 -5158183683300729994237547/50000000000000000000000000 5849626848013929714716781/100000000000000000000000000 34325002021766222705568403/250000000000000000000000000 29915918063020971685804933/15625000000000000000000000 -399317763978082681299559/2500000000000000000000000 30044606509019359060493531/500000000000000000000000000 -30292072497153943250716871/62500000000000000000000000
294403787501709597555253/12500000000000000000000000 3791100478376404791455257/250000000000000000000000000 -22618899988007468370977259/125000000000000000000000000 -2184850672245223333007143/20000000000000000000000000 822307539868645780651159/500000000000000000000000000 -5556143025330037508961277/500000000000000000000000000 -290060118536702637766059/500000000000000000000000000 -72244750917883608534858623/500000000000000000000000000 -399317763978082681299559/2500000000000000000000000 232955602523318071924442231/500000000000000000000000000 -1873078730308649630405917/62500000000000000000000000 -1830113108924152200353701/100000000000000000000000000
-311413780349759684311677813/500000000000000000000000000 -385845843598578172274849093/500000000000000000000000000 -80752960058287294290236523/500000000000000000000000000 -183440715469256680064056537/500000000000000000000000000 -6015675083089428753852541/50000000000000000000000000 -23980167917808781042501927/250000000000000000000000000 24354843478847166639955169/500000000000000000000000000 9844091420615617501850053/500000000000000000000000000 30044606509019359060493531/500000000000000000000000000 -1873078730308649630405917/62500000000000000000000000 1796178107967734054359043261/500000000000000000000000000 -295107607763269300602148833/500000000000000000000000000
-49136782194002045836866349/125000000000000000000000000 -14254805942338746481532813/50000000000000000000000000 -4750842724476238410260207/20000000000000000000000000 9836436796167942567415749/25000000000000000000000000 -57839377014777188796767571/100000000000000000000000000 507135240319692883886287/2500000000000000000000000 -86678517294573339982009141/500000000000000000000000000 -15388008254761461507428681/50000000000000000000000000 -30292072497153943250716871/62500000000000000000000000 -1830113108924152200353701/100000000000000000000000000 -295107607763269300602148833/500000000000000000000000000 586296837378943348515647491/250000000000000000000000000


--- 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 :
1731772878059074068773162759/200000000000000000000000000 1718256965040038429367339187/1000000000000000000000000000 14351709145522956432158993/50000000000000000000000000 -178769367762194499188085253/500000000000000000000000000
1718256965040038429367339187/1000000000000000000000000000 5724804780091932555359922777/1000000000000000000000000000 364836092729675759347790381/1000000000000000000000000000 338392754437809801197154559/1000000000000000000000000000
14351709145522956432158993/50000000000000000000000000 364836092729675759347790381/1000000000000000000000000000 392392953608796607874419263/100000000000000000000000000 380428657765404127161758797/1000000000000000000000000000
-178769367762194499188085253/500000000000000000000000000 338392754437809801197154559/1000000000000000000000000000 380428657765404127161758797/1000000000000000000000000000 793152563725119602698970929/500000000000000000000000000


--- 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 :
15100067324532261946680829/12500000000000000000000000 -2493191558771631705302837/40000000000000000000000000 -23947742148556205033706767/500000000000000000000000000 -25120921708812418193691471/500000000000000000000000000 -728931198265141320797751/62500000000000000000000000 -167943049407763316560236159/1000000000000000000000000000
-2493191558771631705302837/40000000000000000000000000 505565902673601188326403501/1000000000000000000000000000 -125165502180713448582505331/1000000000000000000000000000 -12940865340350896794961647/200000000000000000000000000 -28196145753194378709413787/1000000000000000000000000000 -55295047661554339891966569/1000000000000000000000000000
-23947742148556205033706767/500000000000000000000000000 -125165502180713448582505331/1000000000000000000000000000 74972698407201106251609737/250000000000000000000000000 -2402277425487264865224339/1000000000000000000000000000 -4003496717890496091732393/250000000000000000000000000 -29768109437879534600061399/1000000000000000000000000000
-25120921708812418193691471/500000000000000000000000000 -12940865340350896794961647/200000000000000000000000000 -2402277425487264865224339/1000000000000000000000000000 384463483201030261064836857/1000000000000000000000000000 -7397487588303059355952941/250000000000000000000000000 -61809596619285414729187557/1000000000000000000000000000
-728931198265141320797751/62500000000000000000000000 -28196145753194378709413787/1000000000000000000000000000 -4003496717890496091732393/250000000000000000000000000 -7397487588303059355952941/250000000000000000000000000 6620650693614915394156827/125000000000000000000000000 -460226301278518287823437/1000000000000000000000000000
-167943049407763316560236159/1000000000000000000000000000 -55295047661554339891966569/1000000000000000000000000000 -29768109437879534600061399/1000000000000000000000000000 -61809596619285414729187557/1000000000000000000000000000 -460226301278518287823437/1000000000000000000000000000 226898694961119100779357909/1000000000000000000000000000


--- 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 :
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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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