#Density : 15105362697802792051687469819/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 10, 11, 12, 13, 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 :
70003859964904876482276021/1000000000000000000000000000 -96006976433018996151387681/500000000000000000000000000 60424552578800787943682997/500000000000000000000000000 -37164577920884872334297847/500000000000000000000000000 241699183812113932424224179/1000000000000000000000000000 17123199030999884539946799/500000000000000000000000000
-96006976433018996151387681/500000000000000000000000000 35363207442234364692840449/62500000000000000000000000 -169186801542134587768663579/500000000000000000000000000 23149231498382392372686841/125000000000000000000000000 -339380568010841980457829249/500000000000000000000000000 -48295699387227722837955003/500000000000000000000000000
60424552578800787943682997/500000000000000000000000000 -169186801542134587768663579/500000000000000000000000000 209839425959001611284082171/1000000000000000000000000000 -62511838694619117064829143/500000000000000000000000000 105008733368300083118310819/250000000000000000000000000 59588408489254955018092647/1000000000000000000000000000
-37164577920884872334297847/500000000000000000000000000 23149231498382392372686841/125000000000000000000000000 -62511838694619117064829143/500000000000000000000000000 5490113433891570848231981/62500000000000000000000000 -124544085688695439519979643/500000000000000000000000000 -17546982471274561729202511/500000000000000000000000000
241699183812113932424224179/1000000000000000000000000000 -339380568010841980457829249/500000000000000000000000000 105008733368300083118310819/250000000000000000000000000 -124544085688695439519979643/500000000000000000000000000 840885393810415365975845601/1000000000000000000000000000 3728557238213125648750311/31250000000000000000000000
17123199030999884539946799/500000000000000000000000000 -48295699387227722837955003/500000000000000000000000000 59588408489254955018092647/1000000000000000000000000000 -17546982471274561729202511/500000000000000000000000000 3728557238213125648750311/31250000000000000000000000 16933947809125425527396499/1000000000000000000000000000


--- 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 :
7698003514793035431951159/62500000000000000000000000 4675935653978875772885973/125000000000000000000000000 -26600131332945001554029811/250000000000000000000000000 -42189092551379204296808733/250000000000000000000000000 -219913145625223993916799/1953125000000000000000000 45449672230439711928244467/250000000000000000000000000
4675935653978875772885973/125000000000000000000000000 2840265556924559418921231/250000000000000000000000000 -16157501391265888590364617/500000000000000000000000000 -25626577292529650107950951/500000000000000000000000000 -133580053117873880011053/3906250000000000000000000 27607124683117316105749449/500000000000000000000000000
-26600131332945001554029811/250000000000000000000000000 -16157501391265888590364617/500000000000000000000000000 91915648722452643313964319/1000000000000000000000000000 145782656571654006915492657/1000000000000000000000000000 759900738448713254785371/7812500000000000000000000 -157049454192345012034810143/1000000000000000000000000000
-42189092551379204296808733/250000000000000000000000000 -25626577292529650107950951/500000000000000000000000000 145782656571654006915492657/1000000000000000000000000000 231218331725676571102387071/1000000000000000000000000000 1205239259272662162703413/7812500000000000000000000 -249088016714347097924161329/1000000000000000000000000000
-219913145625223993916799/1953125000000000000000000 -133580053117873880011053/3906250000000000000000000 759900738448713254785371/7812500000000000000000000 1205239259272662162703413/7812500000000000000000000 6282381077878892776839/61035156250000000000000 -1298386051477414437821787/7812500000000000000000000
45449672230439711928244467/250000000000000000000000000 27607124683117316105749449/500000000000000000000000000 -157049454192345012034810143/1000000000000000000000000000 -249088016714347097924161329/1000000000000000000000000000 -1298386051477414437821787/7812500000000000000000000 268338758469628902756650271/1000000000000000000000000000


--- 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 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 :
1048191083713760480404090183/1000000000000000000000000000 -56112836959907253466775771/100000000000000000000000000 52948638466535351429749269/250000000000000000000000000 244545680664016589714819769/500000000000000000000000000 10328059913700527382698203/250000000000000000000000000 34407757965551293227940691/62500000000000000000000000 -541448339574999494633273841/1000000000000000000000000000 420823518107602151148886993/500000000000000000000000000 -21536372116382241771534441/500000000000000000000000000 -77319563398279708013381247/200000000000000000000000000 -293304882466065163597617589/1000000000000000000000000000 252508104179543654277807729/1000000000000000000000000000
-56112836959907253466775771/100000000000000000000000000 6061027950952803369932847/20000000000000000000000000 -67604610327736879762764201/500000000000000000000000000 -123837566055314246818225017/500000000000000000000000000 -32888515033490858220370513/500000000000000000000000000 -29673086294802769919283757/100000000000000000000000000 175729400935447007130256421/500000000000000000000000000 -124287664028361365657492029/250000000000000000000000000 18968416583131466802934169/500000000000000000000000000 108490748208564861556679631/500000000000000000000000000 3707920440482898503254501/25000000000000000000000000 -8323830191266935848513949/50000000000000000000000000
52948638466535351429749269/250000000000000000000000000 -67604610327736879762764201/500000000000000000000000000 29688889277595288500581771/100000000000000000000000000 -32882793098600775264389363/500000000000000000000000000 50152550623189956169946349/100000000000000000000000000 -6174693515378391639841509/20000000000000000000000000 -209310371635317038658715921/250000000000000000000000000 171925482225636465443408491/250000000000000000000000000 -18055002772017851882498247/100000000000000000000000000 -26182530798422631386483419/250000000000000000000000000 1022034361993402353803187/20000000000000000000000000 222947670948357390222542533/500000000000000000000000000
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252508104179543654277807729/1000000000000000000000000000 -8323830191266935848513949/50000000000000000000000000 222947670948357390222542533/500000000000000000000000000 -431013776349177276837323/3125000000000000000000000 3088270310249869428169427/4000000000000000000000000 -323481050564133042647781061/500000000000000000000000000 -1264604152215406119825153671/1000000000000000000000000000 500061742002186101273790701/500000000000000000000000000 -69262460748869940685332427/250000000000000000000000000 -108714472844833490851245453/1000000000000000000000000000 103467033346617932330805703/1000000000000000000000000000 683217778595464638184342877/1000000000000000000000000000


--- 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 :
213080479410407658850983263/200000000000000000000000000 893373636960381835739551383/1000000000000000000000000000 418739258639168944107180529/1000000000000000000000000000 67816243023720501002522273/1000000000000000000000000000
893373636960381835739551383/1000000000000000000000000000 1273321427181213080948735461/250000000000000000000000000 4101375876669221084612677/500000000000000000000000000 1433358983767842633105916987/1000000000000000000000000000
418739258639168944107180529/1000000000000000000000000000 4101375876669221084612677/500000000000000000000000000 11978044221533547691731893/62500000000000000000000000 -82004713963642461785044787/1000000000000000000000000000
67816243023720501002522273/1000000000000000000000000000 1433358983767842633105916987/1000000000000000000000000000 -82004713963642461785044787/1000000000000000000000000000 354476883334230546521383119/200000000000000000000000000


--- 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 :
5776948662043862416085459309/1000000000000000000000000000 792030013506754465398172273/500000000000000000000000000 83943038464892512925169747/1000000000000000000000000000 2189413252436907373279172923/1000000000000000000000000000 -18017342007474239256623969/31250000000000000000000000 -547551214855216606000019163/1000000000000000000000000000 -1321202274952116576669561699/500000000000000000000000000 -186785184869444850015383903/500000000000000000000000000 -568662129798164985455453963/250000000000000000000000000 -548201392213581041401728413/100000000000000000000000000
792030013506754465398172273/500000000000000000000000000 74238605768075653114844539/62500000000000000000000000 251870277195234793406627431/500000000000000000000000000 55150571857645384707379161/125000000000000000000000000 -52838911570035335655312479/500000000000000000000000000 -133828553022947995858568531/250000000000000000000000000 -64370941541637302247495853/250000000000000000000000000 -186341419860639228430416923/250000000000000000000000000 -464114463660835383817367091/500000000000000000000000000 -51397187283199859787439321/25000000000000000000000000
83943038464892512925169747/1000000000000000000000000000 251870277195234793406627431/500000000000000000000000000 537154753304282251786351309/500000000000000000000000000 -490411349036220111896738563/250000000000000000000000000 456600819501320351726692759/1000000000000000000000000000 -172686129486357795551711279/125000000000000000000000000 1750042716299495533408981877/1000000000000000000000000000 -29893043226907865101326719/20000000000000000000000000 110307384427669777067386071/1000000000000000000000000000 -231184874329768666856020283/500000000000000000000000000
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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 :
16631448061382062593902197/40000000000000000000000000 27054449484724679736969441/25000000000000000000000000 -388955182103977464079687/800000000000000000000000 -19552886779042689273863409/100000000000000000000000000 -146147213864704349108815861/200000000000000000000000000 -178564968573672173764675623/200000000000000000000000000
27054449484724679736969441/25000000000000000000000000 352076732811295796989705563/125000000000000000000000000 -158178775070423786073683931/125000000000000000000000000 -31806766656263877077689587/62500000000000000000000000 -118869156799907924490433623/62500000000000000000000000 -290472417325783519873809291/125000000000000000000000000
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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 :
1441920005517303744522764793/500000000000000000000000000 508040584986108749106505281/500000000000000000000000000 574404483829369199634059313/500000000000000000000000000 -162734164345666144533897/250000000000000000000000000 -69339818936145546807755373/31250000000000000000000000 -216075863541193492255739019/250000000000000000000000000 -37254736905006951623603919/500000000000000000000000000 -11251711702683578264219319/31250000000000000000000000 -19677749527332927816255309/62500000000000000000000000
508040584986108749106505281/500000000000000000000000000 179001078426975328909234377/500000000000000000000000000 202383480960597976469144121/500000000000000000000000000 -57337133637824156026449/250000000000000000000000000 -24430926847784481971373141/31250000000000000000000000 -76131344107028683598298723/250000000000000000000000000 -13126191646070600251342023/500000000000000000000000000 -3964385107116687489443823/31250000000000000000000000 -6933183077302394465689653/62500000000000000000000000
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-19677749527332927816255309/62500000000000000000000000 -6933183077302394465689653/62500000000000000000000000 -7838845093293660370404069/62500000000000000000000000 2220818154461358917661/31250000000000000000000000 946274123443191762912849/3906250000000000000000000 2948767411088360639786247/31250000000000000000000000 508411963713902222929947/62500000000000000000000000 153551073424309422330147/3906250000000000000000000 268540435654427508388017/7812500000000000000000000


--- 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 :
53938069785176774877287957/125000000000000000000000000 39326524671638571/125000000000000000000000000 36155510468147248451219319/125000000000000000000000000 -36155510468147248451219319/125000000000000000000000000 -18077755194200538840259541/62500000000000000000000000 -98302991803263890918406837/125000000000000000000000000 -3148559850517003/62500000000000000000000000
39326524671638571/125000000000000000000000000 21887066819967927457996499/125000000000000000000000000 26726475785399910588809721/125000000000000000000000000 -26726475785399910588809721/125000000000000000000000000 1336323789734769880508049/6250000000000000000000000 -71714739509029263/125000000000000000000000000 1809204733889120016435643/6250000000000000000000000
36155510468147248451219319/125000000000000000000000000 26726475785399910588809721/125000000000000000000000000 56871507335732028504188109/125000000000000000000000000 -56871507335732028504188109/125000000000000000000000000 840032774274090609307293/12500000000000000000000000 -65893994044492060406382327/125000000000000000000000000 4418469304867524790308867/12500000000000000000000000
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-3148559850517003/62500000000000000000000000 1809204733889120016435643/6250000000000000000000000 4418469304867524790308867/12500000000000000000000000 -4418469304867524790308867/12500000000000000000000000 22092346579823174209819127/62500000000000000000000000 228159136992729/2500000000000000000000000 29910099841615945169374721/62500000000000000000000000


--- 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 :
37574470076979520892517137/10000000000000000000000000 1138766634885567593630016637/500000000000000000000000000 -868876228519869675008884807/1000000000000000000000000000 1569658150008012769723285597/1000000000000000000000000000 -368447401541839834457717189/100000000000000000000000000 -852495903387345561517394701/1000000000000000000000000000 -658471209195929811409205701/500000000000000000000000000 -115200566605601844675755497/125000000000000000000000000 849342916651986009021516883/1000000000000000000000000000 -376738120259282795451381393/250000000000000000000000000 116908332396710872859572983/1000000000000000000000000000 185832588331502013178893861/250000000000000000000000000
1138766634885567593630016637/500000000000000000000000000 1544725397046480467484621341/500000000000000000000000000 -1535952753825255941534074403/1000000000000000000000000000 586700094324664619515204793/1000000000000000000000000000 -17010686204411624024964639/3125000000000000000000000 -1604201502520227955134857793/1000000000000000000000000000 89986906426370738086448557/250000000000000000000000000 162192278805513849470141403/250000000000000000000000000 573136881803062156102552129/200000000000000000000000000 -25173708718362227357706471/25000000000000000000000000 -51890860479936476193466889/200000000000000000000000000 5238578864219311801071739/100000000000000000000000000
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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 :
506604580735838867574370319/200000000000000000000000000 -94117408594037587120459353/200000000000000000000000000 3212537408474274615577893/4000000000000000000000000 82620607808752828939928529/100000000000000000000000000
-94117408594037587120459353/200000000000000000000000000 134224522523219526175645257/200000000000000000000000000 -30057094692023359470060387/100000000000000000000000000 -2348902623341469668016891/2500000000000000000000000
3212537408474274615577893/4000000000000000000000000 -30057094692023359470060387/100000000000000000000000000 23442185135436714279667911/50000000000000000000000000 5152399575306370188684027/10000000000000000000000000
82620607808752828939928529/100000000000000000000000000 -2348902623341469668016891/2500000000000000000000000 5152399575306370188684027/10000000000000000000000000 134205868863182600860540857/100000000000000000000000000


--- 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 :
793129707154155605581061/15625000000000000000000000 171980391277317571960323/15625000000000000000000000 -16180790432657531793463/7812500000000000000000000 -186763645792195717768653/1953125000000000000000000 -44638861600811878564567/15625000000000000000000000 2602363670368224964546917/31250000000000000000000000
171980391277317571960323/15625000000000000000000000 34068262938971209185039153/500000000000000000000000000 1475675401580920112126931/125000000000000000000000000 -1166293722409221666241137/15625000000000000000000000 -12738853389245272564527057/500000000000000000000000000 1131184182984162562930701/500000000000000000000000000
-16180790432657531793463/7812500000000000000000000 1475675401580920112126931/125000000000000000000000000 74015967684143920858657/31250000000000000000000000 -24006997979554185724479/3906250000000000000000000 -564565803746861739235699/125000000000000000000000000 -792714267049034291713713/125000000000000000000000000
-186763645792195717768653/1953125000000000000000000 -1166293722409221666241137/15625000000000000000000000 -24006997979554185724479/3906250000000000000000000 109538623307404394338443/488281250000000000000000 402547519342263964050993/15625000000000000000000000 -2248837901136260920350969/15625000000000000000000000
-44638861600811878564567/15625000000000000000000000 -12738853389245272564527057/500000000000000000000000000 -564565803746861739235699/125000000000000000000000000 402547519342263964050993/15625000000000000000000000 4779504452190166286604913/500000000000000000000000000 642359238137392158751251/500000000000000000000000000
2602363670368224964546917/31250000000000000000000000 1131184182984162562930701/500000000000000000000000000 -792714267049034291713713/125000000000000000000000000 -2248837901136260920350969/15625000000000000000000000 642359238137392158751251/500000000000000000000000000 70206788754581008980060897/500000000000000000000000000


--- 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 :
140781748858470625630092603/1000000000000000000000000000 -68312926286577398803654757/1000000000000000000000000000 -18117205630726053654299409/500000000000000000000000000 -3135280639823593656206649/1000000000000000000000000000 3919099283982117546823/1250000000000000000000000 -3135279592558449789909467/1000000000000000000000000000 -8209657913818383169068259/250000000000000000000000000 35612164227579384588319137/500000000000000000000000000 -240625958213119378538973967/1000000000000000000000000000 84700814975539683798137159/1000000000000000000000000000
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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 :
8544867170945817816432747/250000000000000000000000000 3395409153528985719963147/125000000000000000000000000 2451612566503973138095089/250000000000000000000000000 -1608018817168337154600123/50000000000000000000000000 -18455434301425105812957021/250000000000000000000000000 -8623928441935492261610697/250000000000000000000000000
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--- Term 19 ---

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

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

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

Matrix :
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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