#Density : 979224308363663164618695453/6400000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 8, 9, 11, 13, 14}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
244450304073028006566417/7812500000000000000000000 -351773854402003114786929/7812500000000000000000000 11727056842680329991099/488281250000000000000000 182051289592673964284493/7812500000000000000000000 -586135356562600208348733/7812500000000000000000000 519574738049638909553097/7812500000000000000000000
-351773854402003114786929/7812500000000000000000000 506216775266819403057873/7812500000000000000000000 -16875708140287873907163/488281250000000000000000 -261979153929538089981741/7812500000000000000000000 843472436498672531598621/7812500000000000000000000 -747689019846873853474089/7812500000000000000000000
11727056842680329991099/488281250000000000000000 -16875708140287873907163/488281250000000000000000 562584132234792198153/30517578125000000000000 8733578096506477486671/488281250000000000000000 -28118773138694308545951/488281250000000000000000 24925649040340680145059/488281250000000000000000
182051289592673964284493/7812500000000000000000000 -261979153929538089981741/7812500000000000000000000 8733578096506477486671/488281250000000000000000 135580408328943917823897/7812500000000000000000000 -436516935181251322534857/7812500000000000000000000 386946751653270921234213/7812500000000000000000000
-586135356562600208348733/7812500000000000000000000 843472436498672531598621/7812500000000000000000000 -28118773138694308545951/488281250000000000000000 -436516935181251322534857/7812500000000000000000000 1405417176777704757178617/7812500000000000000000000 -1245820190334739525468053/7812500000000000000000000
519574738049638909553097/7812500000000000000000000 -747689019846873853474089/7812500000000000000000000 24925649040340680145059/488281250000000000000000 386946751653270921234213/7812500000000000000000000 -1245820190334739525468053/7812500000000000000000000 1104346789189113245206977/7812500000000000000000000


--- 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 :
48494007854572320078297273/500000000000000000000000000 3719707745098348340637129/31250000000000000000000000 3642745160919274899401331/20000000000000000000000000 -155701081657021508495736831/500000000000000000000000000 3019377419159096674891683/500000000000000000000000000 8112125572063499448722259/500000000000000000000000000
3719707745098348340637129/31250000000000000000000000 45420687512416075868520831/250000000000000000000000000 9325830468878150165593659/50000000000000000000000000 -95272115019049080342255069/250000000000000000000000000 -3956960593289989459691109/125000000000000000000000000 7136095692236780727215973/125000000000000000000000000
3642745160919274899401331/20000000000000000000000000 9325830468878150165593659/50000000000000000000000000 38052912843456393835095507/100000000000000000000000000 -58592305233495065859427179/100000000000000000000000000 5196061743109183960778961/100000000000000000000000000 -818731105656103133779671/100000000000000000000000000
-155701081657021508495736831/500000000000000000000000000 -95272115019049080342255069/250000000000000000000000000 -58592305233495065859427179/100000000000000000000000000 499930446734147037381721047/500000000000000000000000000 -10290615429317215651406361/500000000000000000000000000 -25478454945508767447502113/500000000000000000000000000
3019377419159096674891683/500000000000000000000000000 -3956960593289989459691109/125000000000000000000000000 5196061743109183960778961/100000000000000000000000000 -10290615429317215651406361/500000000000000000000000000 21623800859711646821265033/500000000000000000000000000 -19893864870255377395712151/500000000000000000000000000
8112125572063499448722259/500000000000000000000000000 7136095692236780727215973/125000000000000000000000000 -818731105656103133779671/100000000000000000000000000 -25478454945508767447502113/500000000000000000000000000 -19893864870255377395712151/500000000000000000000000000 20769250384022551440272937/500000000000000000000000000


--- 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 :
19841129786805708772177899/1000000000000000000000000000 -2027483948744884301209869/1000000000000000000000000000 32709050699637857761656939/500000000000000000000000000 -10711492123328040261513783/125000000000000000000000000 21977002129209737396758377/250000000000000000000000000 19674126993436807925786811/500000000000000000000000000 -296792597667710063133629673/1000000000000000000000000000 416919930965572863730012341/1000000000000000000000000000 -1267714897765927447572177/200000000000000000000000000 -10816113909948965517654771/500000000000000000000000000 -1507613170223362769194917/20000000000000000000000000 -5420082316217165547943893/50000000000000000000000000
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32709050699637857761656939/500000000000000000000000000 71747947905986725709661/1250000000000000000000000 164488673626541037742096443/500000000000000000000000000 -380555339499672616197027621/500000000000000000000000000 211954725061448205888444123/500000000000000000000000000 -249688160288481165078265257/500000000000000000000000000 -10069836193300192579792761/125000000000000000000000000 23292995497079322702190011/31250000000000000000000000 107165683441353010530620229/250000000000000000000000000 -33890124712053048146271/500000000000000000000000 -137809481707235462671146663/500000000000000000000000000 -352733891941477887342113043/500000000000000000000000000
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--- Term 9 ---

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

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

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

Matrix :
423624718191576961847151/800000000000000000000000 -122045667485377660606989573/125000000000000000000000000 342582188389181189940664899/500000000000000000000000000 -30495468809836720801868151/50000000000000000000000000
-122045667485377660606989573/125000000000000000000000000 1800252413965663002846921059/1000000000000000000000000000 -315831782651744969362325547/250000000000000000000000000 70285603043749442189819737/62500000000000000000000000
342582188389181189940664899/500000000000000000000000000 -315831782651744969362325547/250000000000000000000000000 443269906638243871623451983/500000000000000000000000000 -197291687387978881481023431/250000000000000000000000000
-30495468809836720801868151/50000000000000000000000000 70285603043749442189819737/62500000000000000000000000 -197291687387978881481023431/250000000000000000000000000 64544024812214862760118123/25000000000000000000000000


--- 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 :
1079644711678586894106995703/250000000000000000000000000 1673121264305225156130792329/500000000000000000000000000 558126227515671283681466599/1000000000000000000000000000 -87050624563271425267538197/1000000000000000000000000000 -1278977346587291674641151/4000000000000000000000000 -9762724150545269005434449/3906250000000000000000000 -7428101943560586653676379/200000000000000000000000000 -137139496305552823613521453/50000000000000000000000000 -269951455130020741581686361/200000000000000000000000000 -18542133462136163299034043/125000000000000000000000000
1673121264305225156130792329/500000000000000000000000000 412397602217199670842283521/125000000000000000000000000 -192385347042281713457081/1250000000000000000000000 5503097298366353736506589/8000000000000000000000000 -335528002616508355334564533/500000000000000000000000000 -2719001956970404204062518399/1000000000000000000000000000 -655635118059901186576319817/1000000000000000000000000000 -611610185919138268508915891/500000000000000000000000000 -519547578656360653580769343/1000000000000000000000000000 -15659404368176237618143163/1000000000000000000000000000
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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 :
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385783388892304298543896623/1000000000000000000000000000 229743096551103471680225629/200000000000000000000000000 -14996467620382223457431281/500000000000000000000000000 23717430875992498676496427/100000000000000000000000000 7204126048362687254706963/200000000000000000000000000 -69528004371688534562845549/125000000000000000000000000
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--- 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 :
275889573758572814163978469/1000000000000000000000000000 37988014536958160270303839/250000000000000000000000000 -76079549866827410339804587/500000000000000000000000000 -39197722063500757247467497/1000000000000000000000000000 -89177677786851263023767503/1000000000000000000000000000 47944978113788995527120957/500000000000000000000000000 -91783797231766900638874413/500000000000000000000000000 268945753151791406562039191/1000000000000000000000000000 7208747777866973089982589/40000000000000000000000000
37988014536958160270303839/250000000000000000000000000 46760190523350553197758597/500000000000000000000000000 -17509896387863475329825369/250000000000000000000000000 -2681783344939611871203141/125000000000000000000000000 -42951401787928066227303511/500000000000000000000000000 7844882199795815559810309/250000000000000000000000000 -33223948540221692270855487/500000000000000000000000000 27295328985420672091081721/250000000000000000000000000 204894651210063991846839/4000000000000000000000000
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--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 7

Flags :
F1  : {1, 2, 4}
F2  : {1, 2, 5}
F3  : {1, 2, 4, 5}
F4  : {1, 2, 6}
F5  : {1, 2, 4, 6}
F6  : {1, 2, 4, 5, 6}
F7  : {1, 2, 7}
F8  : {1, 2, 5, 7}
F9  : {1, 2, 4, 5, 7}
F10 : {1, 2, 6, 7}
F11 : {1, 2, 4, 6, 7}
F12 : {1, 2, 5, 6, 7}

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

Matrix :
38320173829359099618487869/250000000000000000000000000 379369140477910149/250000000000000000000000000 -11848429873553520710743473/250000000000000000000000000 11848426274698960544243943/250000000000000000000000000 1481053828132900442889903/31250000000000000000000000 -5191573859114156215325169/50000000000000000000000000 303695137300584993/250000000000000000000000000
379369140477910149/250000000000000000000000000 493096486046110796495930829/250000000000000000000000000 513228268351899773869502247/250000000000000000000000000 -513228275873786178803444817/250000000000000000000000000 64153534442449529402815803/31250000000000000000000000 -157881448789581801/50000000000000000000000000 411782981295939534524967033/250000000000000000000000000
-11848429873553520710743473/250000000000000000000000000 513228268351899773869502247/250000000000000000000000000 1561206270574250443281362883/500000000000000000000000000 -590175579407744212958103861/500000000000000000000000000 287760824991842942835738189/250000000000000000000000000 16052117602003022263076463/500000000000000000000000000 857189910723728694532231959/500000000000000000000000000
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303695137300584993/250000000000000000000000000 411782981295939534524967033/250000000000000000000000000 857189910723728694532231959/500000000000000000000000000 -857189923313270068076820297/500000000000000000000000000 85718992273888871774741161/50000000000000000000000000 -1300694436419069077/500000000000000000000000000 687756771680241023927907403/500000000000000000000000000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

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

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
1213689733092117531060974283/500000000000000000000000000 203077693029723850756418633/250000000000000000000000000 178276844410669362213941327/500000000000000000000000000 -15604264616415646144209813/500000000000000000000000000 52877459180796437388161837/50000000000000000000000000 190374505547607398047185881/500000000000000000000000000 -185331195612086564914332803/250000000000000000000000000 -620539984980114658419114143/250000000000000000000000000 42072191849353255675669899/500000000000000000000000000 -323348094441525930315822473/500000000000000000000000000 -14322387224357343222127573/100000000000000000000000000 86593054061404502028275291/500000000000000000000000000
203077693029723850756418633/250000000000000000000000000 20991322956870634735761851/20000000000000000000000000 261401445920123181968690323/250000000000000000000000000 -47115975505708605480353899/500000000000000000000000000 -13600398415169772594963183/10000000000000000000000000 -41260477566148865160961449/62500000000000000000000000 -416391667163131284841540591/500000000000000000000000000 -3225806842550948991985297/7812500000000000000000000 77355534074586881912046561/500000000000000000000000000 -385689957349977947382829677/500000000000000000000000000 38015073699616641278732111/100000000000000000000000000 -40979834286164128619934279/50000000000000000000000000
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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 :
74153476446690844716337559/31250000000000000000000000 -25714426706376890238810677/500000000000000000000000000 212714208799899894474761171/1000000000000000000000000000 -1193623687494288928725203/15625000000000000000000000
-25714426706376890238810677/500000000000000000000000000 27548085328185068007997203/62500000000000000000000000 116163547895634123983401669/200000000000000000000000000 163678627361500822536004423/250000000000000000000000000
212714208799899894474761171/1000000000000000000000000000 116163547895634123983401669/200000000000000000000000000 3857070309775852426327252941/1000000000000000000000000000 431370499355041037261451147/500000000000000000000000000
-1193623687494288928725203/15625000000000000000000000 163678627361500822536004423/250000000000000000000000000 431370499355041037261451147/500000000000000000000000000 486253268344839974893933437/500000000000000000000000000


--- 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 :
6629215539515829729549107/250000000000000000000000000 537966225558027546595793/20000000000000000000000000 -2409502619212779093707/20000000000000000000000000 -26128042251491702277582969/250000000000000000000000000 -10996432877244383413700289/500000000000000000000000000 4393551269403665387125161/250000000000000000000000000
537966225558027546595793/20000000000000000000000000 97128617728446664167899/1600000000000000000000000 -4888327896287335375793/40000000000000000000000000 -2120311850581113337278867/20000000000000000000000000 -892369460242492990320939/40000000000000000000000000 356540254220031454716963/20000000000000000000000000
-2409502619212779093707/20000000000000000000000000 -4888327896287335375793/40000000000000000000000000 547359528946742732147/1000000000000000000000000000 237417179546365402046169/500000000000000000000000000 99921075358687961042337/1000000000000000000000000000 -39922797909384839766921/500000000000000000000000000
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-10996432877244383413700289/500000000000000000000000000 -892369460242492990320939/40000000000000000000000000 99921075358687961042337/1000000000000000000000000000 43340763491500236622639587/500000000000000000000000000 3648140124663160182086271/200000000000000000000000000 -7287950035526808357400563/500000000000000000000000000
4393551269403665387125161/250000000000000000000000000 356540254220031454716963/20000000000000000000000000 -39922797909384839766921/500000000000000000000000000 -17316512416408489935841179/250000000000000000000000000 -7287950035526808357400563/500000000000000000000000000 2911851732956082395045931/250000000000000000000000000


--- Term 17 ---

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

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

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

Matrix :
168622188451257060319428469/500000000000000000000000000 -124631544315254276331836077/500000000000000000000000000 -43990644544002162647536501/1000000000000000000000000000 -1611813783419012120058929/125000000000000000000000000 12894509641622847807688541/1000000000000000000000000000 -3223627386605643586361089/250000000000000000000000000 0/1 -27103057874237246134694207/500000000000000000000000000 27103057874237246134694207/500000000000000000000000000 44114555864560249/250000000000000000000000000
-124631544315254276331836077/500000000000000000000000000 84311094179322323713154467/250000000000000000000000000 -43990643855636495030917631/1000000000000000000000000000 12894509786324070814421679/1000000000000000000000000000 -515780397817896961342417/40000000000000000000000000 3223627496900284578340433/250000000000000000000000000 0/1 13551528952623910707571603/250000000000000000000000000 -13551528952623910707571603/250000000000000000000000000 -209728552268320421/500000000000000000000000000
-43990644544002162647536501/1000000000000000000000000000 -43990643855636495030917631/1000000000000000000000000000 168622191093476250307640137/500000000000000000000000000 -12894509388081150516228993/1000000000000000000000000000 322362762568099519061629/25000000000000000000000000 1611813675292582604371189/125000000000000000000000000 0/1 608833194193091/25000000000000000000000000 -608833194193091/25000000000000000000000000 -54206116224161002293502901/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-27103057874237246134694207/500000000000000000000000000 13551528952623910707571603/250000000000000000000000000 608833194193091/25000000000000000000000000 32931142404805552916065391/1000000000000000000000000000 -4116392621067138208353947/125000000000000000000000000 4116392628755467379697841/125000000000000000000000000 0/1 69218190506601361838577259/500000000000000000000000000 -69218190506601361838577259/500000000000000000000000000 -146701295299750631/250000000000000000000000000
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44114555864560249/250000000000000000000000000 -209728552268320421/500000000000000000000000000 -54206116224161002293502901/1000000000000000000000000000 32931140229307112147407739/1000000000000000000000000000 -32931142175591697749049507/1000000000000000000000000000 -8232785123093617328100503/250000000000000000000000000 0/1 -146701295299750631/250000000000000000000000000 146701295299750631/250000000000000000000000000 34609094809918310756660819/250000000000000000000000000


--- 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 :
280078900821937037151537/5000000000000000000000000 765890996128434686488551/25000000000000000000000000 -4438687862541849191397837/25000000000000000000000000 -237304689856388274579861/12500000000000000000000000 3246415331572453746631677/25000000000000000000000000 -1196782432484308300196283/12500000000000000000000000
765890996128434686488551/25000000000000000000000000 2094370608529115128830273/125000000000000000000000000 -12137833512516774873833451/125000000000000000000000000 -648922588480192389746403/62500000000000000000000000 8877499393377736176435771/125000000000000000000000000 -3272666690259394948863309/62500000000000000000000000
-4438687862541849191397837/25000000000000000000000000 -12137833512516774873833451/125000000000000000000000000 70344284711407238981014137/125000000000000000000000000 3760802557774489974793761/62500000000000000000000000 -51449160528452706620863977/125000000000000000000000000 18966597060978391295167983/62500000000000000000000000
-237304689856388274579861/12500000000000000000000000 -648922588480192389746403/62500000000000000000000000 3760802557774489974793761/62500000000000000000000000 201063042101977217677833/31250000000000000000000000 -2750616276852671332075281/62500000000000000000000000 1014007421240273599678599/31250000000000000000000000
3246415331572453746631677/25000000000000000000000000 8877499393377736176435771/125000000000000000000000000 -51449160528452706620863977/125000000000000000000000000 -2750616276852671332075281/62500000000000000000000000 37629441111556970064982617/125000000000000000000000000 -13871994020155491205356543/62500000000000000000000000
-1196782432484308300196283/12500000000000000000000000 -3272666690259394948863309/62500000000000000000000000 18966597060978391295167983/62500000000000000000000000 1014007421240273599678599/31250000000000000000000000 -13871994020155491205356543/62500000000000000000000000 5113873935165325071941097/31250000000000000000000000


--- 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 :
99518638711607280527757/50000000000000000000000000 -99518638711607280527757/50000000000000000000000000 -679723250334937/31250000000000000000000000 -1877371640565218639443619/62500000000000000000000000 1877371640565218639443619/62500000000000000000000000 -15018973151975098643196057/500000000000000000000000000 0/1 12024639170553422978806489/250000000000000000000000000 -12024639170553422978806489/250000000000000000000000000 -35072193348677/500000000000000000000000000
-99518638711607280527757/50000000000000000000000000 99518638711607280527757/50000000000000000000000000 679723250334937/31250000000000000000000000 1877371640565218639443619/62500000000000000000000000 -1877371640565218639443619/62500000000000000000000000 15018973151975098643196057/500000000000000000000000000 0/1 -12024639170553422978806489/250000000000000000000000000 12024639170553422978806489/250000000000000000000000000 35072193348677/500000000000000000000000000
-679723250334937/31250000000000000000000000 679723250334937/31250000000000000000000000 1990372707610321664985109/1000000000000000000000000000 -7509486369779859638970869/250000000000000000000000000 7509486369779859638970869/250000000000000000000000000 7509486577069587320731191/250000000000000000000000000 0/1 -82547133226930253/125000000000000000000000000 82547133226930253/125000000000000000000000000 24049277997748595519301481/500000000000000000000000000
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-12024639170553422978806489/250000000000000000000000000 12024639170553422978806489/250000000000000000000000000 82547133226930253/125000000000000000000000000 45367816111316775518662489/62500000000000000000000000 -45367816111316775518662489/62500000000000000000000000 362942531587519905156663777/500000000000000000000000000 0/1 -290582646736190417376271617/250000000000000000000000000 290582646736190417376271617/250000000000000000000000000 1628975687161319653/500000000000000000000000000
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