#Density : 13176096272030434426103777987/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 8, 9, 11, 12, 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 :
41382468838374317354033091/100000000000000000000000000 -23864905758806575565751/625000000000000000000000 -7924845552358100241245601/100000000000000000000000000 2784483027570792004149/40000000000000000000000 -24490523731519433923012557/100000000000000000000000000 -10466366386609335162196929/50000000000000000000000000
-23864905758806575565751/625000000000000000000000 13762681223808130011/3906250000000000000000 4570188719256537720861/625000000000000000000000 -1605786868335713889/250000000000000000000 14123469605432258260377/625000000000000000000000 6035861427918254849469/312500000000000000000000
-7924845552358100241245601/100000000000000000000000000 4570188719256537720861/625000000000000000000000 1517627603950299833559211/100000000000000000000000000 -533235414804407788039/40000000000000000000000 4689996114699587263101327/100000000000000000000000000 2004335155358259271236619/50000000000000000000000000
2784483027570792004149/40000000000000000000000 -1605786868335713889/250000000000000000000 -533235414804407788039/40000000000000000000000 187358220726552211/16000000000000000000 -1647882535309232116923/40000000000000000000000 -704245550879897958631/20000000000000000000000
-24490523731519433923012557/100000000000000000000000000 14123469605432258260377/625000000000000000000000 4689996114699587263101327/100000000000000000000000000 -1647882535309232116923/40000000000000000000000 14493716046441630345464739/100000000000000000000000000 6194091400760971516399983/50000000000000000000000000
-10466366386609335162196929/50000000000000000000000000 6035861427918254849469/312500000000000000000000 2004335155358259271236619/50000000000000000000000000 -704245550879897958631/20000000000000000000000 6194091400760971516399983/50000000000000000000000000 2647131222803311761177451/25000000000000000000000000


--- 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 :
101691755881249762305089713/1000000000000000000000000000 4072034984708724367771529/250000000000000000000000000 -37196989714237687611118901/1000000000000000000000000000 -97587548871751306072170007/1000000000000000000000000000 387356930799190908026443/3906250000000000000000000 -26316573645001521332713887/250000000000000000000000000
4072034984708724367771529/250000000000000000000000000 15653138368506658702753137/250000000000000000000000000 -1011145915831602212399887/62500000000000000000000000 -956097067464982896694129/15625000000000000000000000 -79783013513456047906337/50000000000000000000000000 -255987519341431595849669/25000000000000000000000000
-37196989714237687611118901/1000000000000000000000000000 -1011145915831602212399887/62500000000000000000000000 53451823861411500849955369/1000000000000000000000000000 14432756876528578205614091/1000000000000000000000000000 52322928126544241620051/62500000000000000000000000 137649938972299761730191/10000000000000000000000000
-97587548871751306072170007/1000000000000000000000000000 -956097067464982896694129/15625000000000000000000000 14432756876528578205614091/1000000000000000000000000000 150347095009267829943907329/1000000000000000000000000000 -13485886749284974160464181/125000000000000000000000000 28493663594849183784577601/250000000000000000000000000
387356930799190908026443/3906250000000000000000000 -79783013513456047906337/50000000000000000000000000 52322928126544241620051/62500000000000000000000000 -13485886749284974160464181/125000000000000000000000000 1034085026282050294331837/7812500000000000000000000 -1571596292216366603581761/12500000000000000000000000
-26316573645001521332713887/250000000000000000000000000 -255987519341431595849669/25000000000000000000000000 137649938972299761730191/10000000000000000000000000 28493663594849183784577601/250000000000000000000000000 -1571596292216366603581761/12500000000000000000000000 7770504285753355356522257/62500000000000000000000000


--- 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 :
15915934184982326593755373/40000000000000000000000000 300375964337974971020286129/1000000000000000000000000000 418763669406581396235444561/1000000000000000000000000000 -34910816747410072078362119/500000000000000000000000000 291916614366680219899786501/1000000000000000000000000000 -32877698460734766242446159/250000000000000000000000000 25708980409873425165385759/500000000000000000000000000 -2289006539297108009696701/125000000000000000000000000 -140718674859893298317671751/500000000000000000000000000 -493017510660092585788096109/1000000000000000000000000000 -402879188653228928871794309/1000000000000000000000000000 -120151927807791042137084263/125000000000000000000000000
300375964337974971020286129/1000000000000000000000000000 591093176480621184646546581/1000000000000000000000000000 1384802943121467012682383/7812500000000000000000000 27058888693101518197917057/250000000000000000000000000 27263103718952675885691081/1000000000000000000000000000 219150466360819332222047243/500000000000000000000000000 -247740929032493722451997323/250000000000000000000000000 75294620972427829566165249/100000000000000000000000000 -593959080782667702083603117/500000000000000000000000000 211970266711201439454463811/250000000000000000000000000 -75607939700341790162504363/250000000000000000000000000 -26344237131381367187703843/40000000000000000000000000
418763669406581396235444561/1000000000000000000000000000 1384802943121467012682383/7812500000000000000000000 11073293930957912402801101/20000000000000000000000000 -45218427060983320186370831/250000000000000000000000000 61724953880927196313488849/125000000000000000000000000 -88002488423509078375488567/500000000000000000000000000 21045729382972810105807791/100000000000000000000000000 46123331066510714871739411/1000000000000000000000000000 -36177221252549639863864477/125000000000000000000000000 -703754659951722964994077441/1000000000000000000000000000 -519271292268377491609207337/1000000000000000000000000000 -162650804639606150698022981/125000000000000000000000000
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-120151927807791042137084263/125000000000000000000000000 -26344237131381367187703843/40000000000000000000000000 -162650804639606150698022981/125000000000000000000000000 134180337389908300162786791/500000000000000000000000000 -598165651135445460321151549/500000000000000000000000000 -756165213178023907520561229/1000000000000000000000000000 1172617355434800409483372983/1000000000000000000000000000 -912301358570814061189956437/500000000000000000000000000 2633057134793932449521493131/1000000000000000000000000000 -64787099834398363789246609/250000000000000000000000000 364767517324658085676258791/250000000000000000000000000 361291744237316596613982681/100000000000000000000000000


--- 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 :
2457688261388269736527/3906250000000000000000 452773103747798763905473/625000000000000000000000 287234780735302210228337/625000000000000000000000 -236715503819541259333319/625000000000000000000000
452773103747798763905473/625000000000000000000000 83413135302039898134452527/100000000000000000000000000 52916468382519305248673663/100000000000000000000000000 -43609441870001828793140681/100000000000000000000000000
287234780735302210228337/625000000000000000000000 52916468382519305248673663/100000000000000000000000000 33569684390099727625354447/100000000000000000000000000 -27665398783263704323344889/100000000000000000000000000
-236715503819541259333319/625000000000000000000000 -43609441870001828793140681/100000000000000000000000000 -27665398783263704323344889/100000000000000000000000000 22799567637958812066201343/100000000000000000000000000


--- 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 :
33430900341125700779272111/15625000000000000000000000 68531573763738738313216617/31250000000000000000000000 84499834769633603609325347/125000000000000000000000000 -56755876785525457661994869/62500000000000000000000000 66425095431675449654637459/62500000000000000000000000 -478838839808140307070439719/250000000000000000000000000 -289410656666363506352302791/250000000000000000000000000 -67040592700842836840943489/50000000000000000000000000 -96051455146388501778914451/125000000000000000000000000 55251628160364294377172369/125000000000000000000000000
68531573763738738313216617/31250000000000000000000000 764194036581770348544602103/250000000000000000000000000 852252326866051011664058451/500000000000000000000000000 -207563514186272737265164959/125000000000000000000000000 18726042638221410952080429/125000000000000000000000000 -2053953211264790409337022499/1000000000000000000000000000 -443356186259448934189359447/200000000000000000000000000 -779280952386096635261305089/1000000000000000000000000000 -112031389571935454582860287/500000000000000000000000000 40786879040118199596553689/100000000000000000000000000
84499834769633603609325347/125000000000000000000000000 852252326866051011664058451/500000000000000000000000000 85241091694252709796417251/50000000000000000000000000 -534689352746771584463390611/500000000000000000000000000 -597363502518978410761623327/500000000000000000000000000 -196350534316465666759350447/500000000000000000000000000 -749226189885630930941215377/500000000000000000000000000 88315529104039737243618807/500000000000000000000000000 38448015935392714600413963/125000000000000000000000000 -3314888278289529941465493/10000000000000000000000000
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55251628160364294377172369/125000000000000000000000000 40786879040118199596553689/100000000000000000000000000 -3314888278289529941465493/10000000000000000000000000 -38518052987340513854986449/100000000000000000000000000 461939818028192190470850223/500000000000000000000000000 -494006220783318958415931421/500000000000000000000000000 -233367161112639864218918111/500000000000000000000000000 -23352470237414798616725503/500000000000000000000000000 5788385464268636746920207/62500000000000000000000000 213444114691577848128306857/250000000000000000000000000


--- 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 :
118835195366056236319367451/500000000000000000000000000 106736281754256087746960637/100000000000000000000000000 80159530960031510971109511/100000000000000000000000000 87981248547909835745893371/125000000000000000000000000 41004323853497748883860651/125000000000000000000000000 26236577047531897058080761/500000000000000000000000000
106736281754256087746960637/100000000000000000000000000 95869189322493444824674219/20000000000000000000000000 71998285150148624386063857/20000000000000000000000000 79023653768345625528123677/25000000000000000000000000 36829569308048898493549037/25000000000000000000000000 23565364380361931396062607/100000000000000000000000000
80159530960031510971109511/100000000000000000000000000 71998285150148624386063857/20000000000000000000000000 54071105651311338384075171/20000000000000000000000000 59347195880429150103590631/25000000000000000000000000 27659207840781393679194711/25000000000000000000000000 17697717445143464395571421/100000000000000000000000000
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26236577047531897058080761/500000000000000000000000000 23565364380361931396062607/100000000000000000000000000 17697717445143464395571421/100000000000000000000000000 19424605641071167600361881/125000000000000000000000000 9052983829835450011665961/125000000000000000000000000 5792542967179723811755171/500000000000000000000000000


--- 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 :
294729667674577700213279779/1000000000000000000000000000 96881624694138702156941279/500000000000000000000000000 -13108647013787274205271031/250000000000000000000000000 61401325276464770019652013/1000000000000000000000000000 -7892856766417461762064013/31250000000000000000000000 -34013489789646411096702573/100000000000000000000000000 13350835593664712962560121/100000000000000000000000000 -3621095553126704898718579/125000000000000000000000000 -49018893712537442954100383/200000000000000000000000000
96881624694138702156941279/500000000000000000000000000 125910497957474925600996637/500000000000000000000000000 -3564366377440851685710169/15625000000000000000000000 42529951606092830956823523/250000000000000000000000000 -37354950792708151967654017/250000000000000000000000000 -140899876259285467073417487/250000000000000000000000000 17872897076020096067672953/100000000000000000000000000 1925629736131119195178141/50000000000000000000000000 -157350825344007262640010911/500000000000000000000000000
-13108647013787274205271031/250000000000000000000000000 -3564366377440851685710169/15625000000000000000000000 19417727259352803537074617/62500000000000000000000000 -53211450797338301140849591/250000000000000000000000000 1191161134025190953189547/62500000000000000000000000 73699954339488678183439641/125000000000000000000000000 -2066246952282132360537729/12500000000000000000000000 -5276086686561690405992617/62500000000000000000000000 70647575616766672316086143/250000000000000000000000000
61401325276464770019652013/1000000000000000000000000000 42529951606092830956823523/250000000000000000000000000 -53211450797338301140849591/250000000000000000000000000 148089031113788056807873793/1000000000000000000000000000 -8820123440716381097543531/250000000000000000000000000 -212686895183787270623537643/500000000000000000000000000 3066436777110589214804021/25000000000000000000000000 13495442484117007427200941/250000000000000000000000000 -211192709677909009575213989/1000000000000000000000000000
-7892856766417461762064013/31250000000000000000000000 -37354950792708151967654017/250000000000000000000000000 1191161134025190953189547/62500000000000000000000000 -8820123440716381097543531/250000000000000000000000000 27333163728285230649100247/125000000000000000000000000 15378249867662567780141751/62500000000000000000000000 -5112866622960780916532873/50000000000000000000000000 162580266016491794720653/5000000000000000000000000 370147651906847738845727/1953125000000000000000000
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-49018893712537442954100383/200000000000000000000000000 -157350825344007262640010911/500000000000000000000000000 70647575616766672316086143/250000000000000000000000000 -211192709677909009575213989/1000000000000000000000000000 370147651906847738845727/1953125000000000000000000 351219711589923381789101481/500000000000000000000000000 -22327701794360378062887049/100000000000000000000000000 -5867899635035977059539537/125000000000000000000000000 393343507709373527006412883/1000000000000000000000000000


--- 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 :
315074833117643155985745499/1000000000000000000000000000 -338867372886088027/125000000000000000000000000 3720587050529256242965987/200000000000000000000000000 -3720587050529256242965987/200000000000000000000000000 -1860294028306832833455607/100000000000000000000000000 -183329109560589889173203673/1000000000000000000000000000 -380915533905942823/500000000000000000000000000
-338867372886088027/125000000000000000000000000 616038993942942803106628023/250000000000000000000000000 105134227839008640474131047/50000000000000000000000000 -105134227839008640474131047/50000000000000000000000000 262835569628346667132466701/125000000000000000000000000 1019722431804448083/250000000000000000000000000 55715621319263456252668121/62500000000000000000000000
3720587050529256242965987/200000000000000000000000000 105134227839008640474131047/50000000000000000000000000 71813455772358111019422823/40000000000000000000000000 -71813455772358111019422823/40000000000000000000000000 179313965105742950422405273/100000000000000000000000000 -2164856423973972989753349/200000000000000000000000000 76068156511708403951378273/100000000000000000000000000
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-380915533905942823/500000000000000000000000000 55715621319263456252668121/62500000000000000000000000 76068156511708403951378273/100000000000000000000000000 -76068156511708403951378273/100000000000000000000000000 190170391295111831275113743/250000000000000000000000000 674120014846131021/500000000000000000000000000 80624258906028320597236323/250000000000000000000000000


--- 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 :
10393989411004373418909987071/1000000000000000000000000000 1394391418598497112213814617/500000000000000000000000000 441884149974761719162890277/200000000000000000000000000 -63587272357736840149751991/31250000000000000000000000 -7296120468433303700970372569/1000000000000000000000000000 -80429368373655446079704009/250000000000000000000000000 -57465851302805269916495067/125000000000000000000000000 -392908853957458410659585019/200000000000000000000000000 -1534198172891115763504461669/1000000000000000000000000000 -416059766825143491232160273/200000000000000000000000000 -937183927972472954087339757/250000000000000000000000000 -2204909283663346495483722539/1000000000000000000000000000
1394391418598497112213814617/500000000000000000000000000 3762879087772423330068912869/1000000000000000000000000000 84827566910541214398481219/250000000000000000000000000 506148948322499823850784679/500000000000000000000000000 -459211935595199853671298227/500000000000000000000000000 -1654210213791989604359185429/1000000000000000000000000000 -1336762479710186523514140081/1000000000000000000000000000 -833407925949726326886006723/500000000000000000000000000 -200337358690237333359076761/250000000000000000000000000 -154726961662999186863309253/125000000000000000000000000 -560447240941585817242781883/500000000000000000000000000 -297816662154952001557081139/200000000000000000000000000
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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 :
475847131574721980410817789/62500000000000000000000000 1596658295048716249182615461/250000000000000000000000000 805603518859259858883552127/500000000000000000000000000 278082149342067584418521011/250000000000000000000000000
1596658295048716249182615461/250000000000000000000000000 1361589284009816811466199259/250000000000000000000000000 514043417345250202257482889/500000000000000000000000000 22169134009951667901837573/31250000000000000000000000
805603518859259858883552127/500000000000000000000000000 514043417345250202257482889/500000000000000000000000000 1517618420554745518903814787/1000000000000000000000000000 32780713699639218172006029/31250000000000000000000000
278082149342067584418521011/250000000000000000000000000 22169134009951667901837573/31250000000000000000000000 32780713699639218172006029/31250000000000000000000000 181265172463086205271249409/250000000000000000000000000


--- 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 :
17145433337843950470770823/125000000000000000000000000 815563974993126113428011/31250000000000000000000000 -19591303012822129538859/976562500000000000000000 -14628625024053932360343381/125000000000000000000000000 -987237522260765917273347/25000000000000000000000000 7555793771928615618900159/125000000000000000000000000
815563974993126113428011/31250000000000000000000000 38794271582419555659327/7812500000000000000000000 -931907677431806611263/244140625000000000000000 -695845904749912749444417/31250000000000000000000000 -46960338770802038858679/6250000000000000000000000 359409592130922039615363/31250000000000000000000000
-19591303012822129538859/976562500000000000000000 -931907677431806611263/244140625000000000000000 22386086497623568447/7629394531250000000000 16715461187826260241473/976562500000000000000000 1128071193251658861751/195312500000000000000000 -8633660192274986761347/976562500000000000000000
-14628625024053932360343381/125000000000000000000000000 -695845904749912749444417/31250000000000000000000000 16715461187826260241473/976562500000000000000000 12481263429022618991359807/125000000000000000000000000 842319190087319384945609/25000000000000000000000000 -6446665515572505624792573/125000000000000000000000000
-987237522260765917273347/25000000000000000000000000 -46960338770802038858679/6250000000000000000000000 1128071193251658861751/195312500000000000000000 842319190087319384945609/25000000000000000000000000 56845336373524265836783/5000000000000000000000000 -435064134870688136327451/25000000000000000000000000
7555793771928615618900159/125000000000000000000000000 359409592130922039615363/31250000000000000000000000 -8633660192274986761347/976562500000000000000000 -6446665515572505624792573/125000000000000000000000000 -435064134870688136327451/25000000000000000000000000 3329750750475599480984247/125000000000000000000000000


--- 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 :
27848375316333525076072691/125000000000000000000000000 -27848375316333525076072691/125000000000000000000000000 277506843025126493/1000000000000000000000000000 -48453873032961655665717581/500000000000000000000000000 969077457023356395259857/10000000000000000000000000 -48453872968395742422368649/500000000000000000000000000 0/1 -76675171157842173788463207/1000000000000000000000000000 76675171157842173788463207/1000000000000000000000000000 -80316591945061079/1000000000000000000000000000
-27848375316333525076072691/125000000000000000000000000 27848375316333525076072691/125000000000000000000000000 -277506843025126493/1000000000000000000000000000 48453873032961655665717581/500000000000000000000000000 -969077457023356395259857/10000000000000000000000000 48453872968395742422368649/500000000000000000000000000 0/1 76675171157842173788463207/1000000000000000000000000000 -76675171157842173788463207/1000000000000000000000000000 80316591945061079/1000000000000000000000000000
277506843025126493/1000000000000000000000000000 -277506843025126493/1000000000000000000000000000 55696750571387179923532279/250000000000000000000000000 -96907745366183010164429597/1000000000000000000000000000 96907746071728524399576087/1000000000000000000000000000 96907745443293131855054307/1000000000000000000000000000 0/1 65715927413715891/1000000000000000000000000000 -65715927413715891/1000000000000000000000000000 -19168792766636726915450767/250000000000000000000000000
-48453873032961655665717581/500000000000000000000000000 48453873032961655665717581/500000000000000000000000000 -96907745366183010164429597/1000000000000000000000000000 74735973066406125059324373/200000000000000000000000000 76427203233304723866294103/500000000000000000000000000 -263267135763648683091586509/1000000000000000000000000000 0/1 6882975963061804686307819/500000000000000000000000000 -6882975963061804686307819/500000000000000000000000000 550638065861240943787941/40000000000000000000000000
969077457023356395259857/10000000000000000000000000 -969077457023356395259857/10000000000000000000000000 96907746071728524399576087/1000000000000000000000000000 76427203233304723866294103/500000000000000000000000000 186839932554608084890128343/500000000000000000000000000 -131633568060038488658672799/500000000000000000000000000 0/1 -13765951571087079076349653/1000000000000000000000000000 13765951571087079076349653/1000000000000000000000000000 -13765952087583534248401409/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-76675171157842173788463207/1000000000000000000000000000 76675171157842173788463207/1000000000000000000000000000 65715927413715891/1000000000000000000000000000 6882975963061804686307819/500000000000000000000000000 -13765951571087079076349653/1000000000000000000000000000 53773249541453231021037/3906250000000000000000000 0/1 55776929965274244372376031/1000000000000000000000000000 -55776929965274244372376031/1000000000000000000000000000 79478186510336437/1000000000000000000000000000
76675171157842173788463207/1000000000000000000000000000 -76675171157842173788463207/1000000000000000000000000000 -65715927413715891/1000000000000000000000000000 -6882975963061804686307819/500000000000000000000000000 13765951571087079076349653/1000000000000000000000000000 -53773249541453231021037/3906250000000000000000000 0/1 -55776929965274244372376031/1000000000000000000000000000 55776929965274244372376031/1000000000000000000000000000 -79478186510336437/1000000000000000000000000000
-80316591945061079/1000000000000000000000000000 80316591945061079/1000000000000000000000000000 -19168792766636726915450767/250000000000000000000000000 550638065861240943787941/40000000000000000000000000 -13765952087583534248401409/1000000000000000000000000000 -13765951771210156551415593/1000000000000000000000000000 0/1 79478186510336437/1000000000000000000000000000 -79478186510336437/1000000000000000000000000000 27888464874456372010535661/500000000000000000000000000


--- 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 :
7111848844545303058438127/200000000000000000000000000 1266769875181333332728133/40000000000000000000000000 6845592902275067475004149/50000000000000000000000000 -1482731282169040875974331/200000000000000000000000000 -15698783687027607860407093/100000000000000000000000000 -7905590000903945493018307/200000000000000000000000000
1266769875181333332728133/40000000000000000000000000 225638360958377188924407/8000000000000000000000000 1219344091235623082958471/10000000000000000000000000 -264105630237255452605449/40000000000000000000000000 -2796283594661547716690247/20000000000000000000000000 -1408151871276191367136353/40000000000000000000000000
6845592902275067475004149/50000000000000000000000000 1219344091235623082958471/10000000000000000000000000 6589305145260707296368663/12500000000000000000000000 -1427220257779051436063097/50000000000000000000000000 -15111047004984363316235991/25000000000000000000000000 -7609617693153440949193809/50000000000000000000000000
-1482731282169040875974331/200000000000000000000000000 -264105630237255452605449/40000000000000000000000000 -1427220257779051436063097/50000000000000000000000000 309130874851040057060343/200000000000000000000000000 3272999493319390251718329/100000000000000000000000000 1648216357597866670547871/200000000000000000000000000
-15698783687027607860407093/100000000000000000000000000 -2796283594661547716690247/20000000000000000000000000 -15111047004984363316235991/25000000000000000000000000 3272999493319390251718329/100000000000000000000000000 34653690571771574363796887/50000000000000000000000000 17450897798215831039821713/100000000000000000000000000
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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 :
18565264484389113712343051/500000000000000000000000000 -18565264484389113712343051/500000000000000000000000000 26738972283761459/500000000000000000000000000 2212955438105355097360871/100000000000000000000000000 -2212955438105355097360871/100000000000000000000000000 5532388571848781633508923/250000000000000000000000000 0/1 -12336872216488086145322461/500000000000000000000000000 12336872216488086145322461/500000000000000000000000000 -1805611271609037/500000000000000000000000000
-18565264484389113712343051/500000000000000000000000000 18565264484389113712343051/500000000000000000000000000 -26738972283761459/500000000000000000000000000 -2212955438105355097360871/100000000000000000000000000 2212955438105355097360871/100000000000000000000000000 -5532388571848781633508923/250000000000000000000000000 0/1 12336872216488086145322461/500000000000000000000000000 -12336872216488086145322461/500000000000000000000000000 1805611271609037/500000000000000000000000000
26738972283761459/500000000000000000000000000 -26738972283761459/500000000000000000000000000 18565264393869573246541763/500000000000000000000000000 11064777103172821759860967/500000000000000000000000000 -11064777103172821759860967/500000000000000000000000000 -5532388553434294692244819/250000000000000000000000000 0/1 -11523954920439061/500000000000000000000000000 11523954920439061/500000000000000000000000000 -12336872142925347795565977/500000000000000000000000000
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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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-1805611271609037/500000000000000000000000000 1805611271609037/500000000000000000000000000 -12336872142925347795565977/500000000000000000000000000 -7352695730003249115130659/500000000000000000000000000 7352695730003249115130659/500000000000000000000000000 1838173937871647392969683/125000000000000000000000000 0/1 -2949674330116389/500000000000000000000000000 2949674330116389/500000000000000000000000000 8198020294348451414410917/500000000000000000000000000

