#Density : 4461446772789786099328835883/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 8, 9, 13, 14, 15}
Number of terms              : 19


--- Term 1 ---

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

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

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

Matrix :
765905074789954339479241/10000000000000000000000000 -416729099372151554381721/5000000000000000000000000 2478511922024781261359761/50000000000000000000000000 -21758518018759605884903/12500000000000000000000000 -1833699895957236403848337/25000000000000000000000000 161086584693738331601821/1562500000000000000000000
-416729099372151554381721/5000000000000000000000000 226742383592576167178601/2500000000000000000000000 -1348558816289063422607841/25000000000000000000000000 11838813863607201502743/6250000000000000000000000 997716468154533576137697/12500000000000000000000000 -87647241897133677526701/781250000000000000000000
2478511922024781261359761/50000000000000000000000000 -1348558816289063422607841/25000000000000000000000000 8020604053712098021654681/250000000000000000000000000 -70411788732273900956063/62500000000000000000000000 -5933956051658246478989977/125000000000000000000000000 521285252942316392999941/7812500000000000000000000
-21758518018759605884903/12500000000000000000000000 11838813863607201502743/6250000000000000000000000 -70411788732273900956063/62500000000000000000000000 618135486962954412649/15625000000000000000000000 52093390604736668602271/31250000000000000000000000 -4576292116357083961043/1953125000000000000000000
-1833699895957236403848337/25000000000000000000000000 997716468154533576137697/12500000000000000000000000 -5933956051658246478989977/125000000000000000000000000 52093390604736668602271/31250000000000000000000000 4390172384424683790816409/62500000000000000000000000 -385667184244760680443397/3906250000000000000000000
161086584693738331601821/1562500000000000000000000 -87647241897133677526701/781250000000000000000000 521285252942316392999941/7812500000000000000000000 -4576292116357083961043/1953125000000000000000000 -385667184244760680443397/3906250000000000000000000 33880031119273215484801/244140625000000000000000


--- 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 :
27884041867127202110884471/200000000000000000000000000 -88800367310672930028175737/1000000000000000000000000000 49283622434859547626176033/500000000000000000000000000 -111300348557810365691640789/500000000000000000000000000 17807501808755857187121629/125000000000000000000000000 77746329813776745914598347/1000000000000000000000000000
-88800367310672930028175737/1000000000000000000000000000 167109251834657967639844347/1000000000000000000000000000 -3325923217508503850133243/500000000000000000000000000 27683758278408150868211727/500000000000000000000000000 -20690340731781958560120261/125000000000000000000000000 -67899630540108302129805057/1000000000000000000000000000
49283622434859547626176033/500000000000000000000000000 -3325923217508503850133243/500000000000000000000000000 24545580987230725363928767/250000000000000000000000000 -50311853091351365843313583/250000000000000000000000000 980406568415346612560341/15625000000000000000000000 22816362457003944997498233/500000000000000000000000000
-111300348557810365691640789/500000000000000000000000000 27683758278408150868211727/500000000000000000000000000 -50311853091351365843313583/250000000000000000000000000 21147677795835108979545847/50000000000000000000000000 -10562286380629424189542153/62500000000000000000000000 -54881714523954073133896637/500000000000000000000000000
17807501808755857187121629/125000000000000000000000000 -20690340731781958560120261/125000000000000000000000000 980406568415346612560341/15625000000000000000000000 -10562286380629424189542153/62500000000000000000000000 12259900917431770166071069/62500000000000000000000000 11484503996137290952905441/125000000000000000000000000
77746329813776745914598347/1000000000000000000000000000 -67899630540108302129805057/1000000000000000000000000000 22816362457003944997498233/500000000000000000000000000 -54881714523954073133896637/500000000000000000000000000 11484503996137290952905441/125000000000000000000000000 46410661255967234556096067/1000000000000000000000000000


--- 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 :
528708966111671196176376943/500000000000000000000000000 405707480802106194424691791/500000000000000000000000000 522980450084533292317980377/1000000000000000000000000000 -21301629570849454681258387/1000000000000000000000000000 -11457034235407536081328677/1000000000000000000000000000 -31128845073374519398847319/25000000000000000000000000 -664755018011786764597247701/250000000000000000000000000 296976677611377321127270031/100000000000000000000000000 152208494064294146257816729/500000000000000000000000000 1420888744959901201200668341/1000000000000000000000000000 -331750953652449973261583873/1000000000000000000000000000 -2365813356904222293051731963/1000000000000000000000000000
405707480802106194424691791/500000000000000000000000000 1009392269985561786621126711/500000000000000000000000000 13236670666422468338741953/200000000000000000000000000 294312212629354321328643113/200000000000000000000000000 -679048254651351718839134709/1000000000000000000000000000 -241171449613002833168339249/250000000000000000000000000 -879557028543792403505590013/250000000000000000000000000 368702686008519123660474663/100000000000000000000000000 -221132647480093361025266809/500000000000000000000000000 2582006551798592805910235973/1000000000000000000000000000 -805588709066745729395088477/1000000000000000000000000000 -34506267716091786686762299/40000000000000000000000000
522980450084533292317980377/1000000000000000000000000000 13236670666422468338741953/200000000000000000000000000 298374209687017296160895869/500000000000000000000000000 -19458545015636577472180751/31250000000000000000000000 335258193438019008692244867/500000000000000000000000000 -513786109064435100444647379/1000000000000000000000000000 -701609165598131504025394031/500000000000000000000000000 1336678333570040980414231271/1000000000000000000000000000 2948900913301595631724327/12500000000000000000000000 84653566445998131636499667/200000000000000000000000000 155055191663432739419410079/500000000000000000000000000 -24571819058585498943478343/15625000000000000000000000
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-2365813356904222293051731963/1000000000000000000000000000 -34506267716091786686762299/40000000000000000000000000 -24571819058585498943478343/15625000000000000000000000 3351817162841009857001890089/1000000000000000000000000000 -779379472453589033817786843/1000000000000000000000000000 1837014333276146547908930243/500000000000000000000000000 1251433614624401543610916497/500000000000000000000000000 -4021653772420867552796527261/1000000000000000000000000000 -2839350080643757015321316229/1000000000000000000000000000 -62867678110650349105206649/500000000000000000000000000 83261031811710267160397479/250000000000000000000000000 8209577935326526476746249931/1000000000000000000000000000


--- 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 :
39575356293875696053333531/62500000000000000000000000 -9826497716751066674788101/62500000000000000000000000 9803619275534045330416607/31250000000000000000000000 -1224534885774471715227581/2000000000000000000000000
-9826497716751066674788101/62500000000000000000000000 151854606348684569772929627/62500000000000000000000000 -54566131057811982400567881/31250000000000000000000000 297560712444863527042042807/250000000000000000000000000
9803619275534045330416607/31250000000000000000000000 -54566131057811982400567881/31250000000000000000000000 8247107379227360435572087/6250000000000000000000000 -128478261395816688715240823/125000000000000000000000000
-1224534885774471715227581/2000000000000000000000000 297560712444863527042042807/250000000000000000000000000 -128478261395816688715240823/125000000000000000000000000 1042904324505698414874436779/1000000000000000000000000000


--- 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 :
2411591090177746558515085039/250000000000000000000000000 1896125743228312548181741003/500000000000000000000000000 -334461953650242372249640677/250000000000000000000000000 -287389296717155042727398191/125000000000000000000000000 44653213940558035089877777/12500000000000000000000000 -7452586572287039864280101/3125000000000000000000000 -1586290820220644778368979039/500000000000000000000000000 -2084587624955828305451052573/500000000000000000000000000 -1595310218341932530323740069/500000000000000000000000000 -568765003436086595810412281/250000000000000000000000000
1896125743228312548181741003/500000000000000000000000000 1496379101893392360914925317/1000000000000000000000000000 -130595137115128012137123179/250000000000000000000000000 -451866985693535617446783489/500000000000000000000000000 86571985546177820268165901/62500000000000000000000000 -86216843013496520758663719/100000000000000000000000000 -51351926477423193299440611/40000000000000000000000000 -1622944271388198606069879337/1000000000000000000000000000 -1274272473056855153067235193/1000000000000000000000000000 -227625092396590970287722537/250000000000000000000000000
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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 :
73106258197693985481245553/31250000000000000000000000 48632494826886723006724481/125000000000000000000000000 38984392983298921520652701/50000000000000000000000000 48582896198641569824322939/125000000000000000000000000 54733651076465239572126431/250000000000000000000000000 -111985479638170299820966359/50000000000000000000000000
48632494826886723006724481/125000000000000000000000000 151578912775246225081590681/250000000000000000000000000 45915060788846904016162243/50000000000000000000000000 -793668159034982089518531/976562500000000000000000 4806798330347070840051157/62500000000000000000000000 -11374283947316014892904219/100000000000000000000000000
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-111985479638170299820966359/50000000000000000000000000 -11374283947316014892904219/100000000000000000000000000 -7394362979598030866349111/20000000000000000000000000 -19780711445033348789494899/25000000000000000000000000 -9512910628469489362290861/50000000000000000000000000 90714832811779570631561169/40000000000000000000000000


--- 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 :
271551749166041051269214413/1000000000000000000000000000 184665262205543962517617233/1000000000000000000000000000 -409256045330762609384040539/1000000000000000000000000000 16235363976114921697281689/100000000000000000000000000 -248859631681132080659332511/1000000000000000000000000000 2974820398435443036365413/20000000000000000000000000 2444469363281360076227369/25000000000000000000000000 6704834482708969662490291/25000000000000000000000000 -143125730170600975165490437/1000000000000000000000000000
184665262205543962517617233/1000000000000000000000000000 129427221841510306840768053/1000000000000000000000000000 -269216130175929572813747799/1000000000000000000000000000 10955483203556686594159329/100000000000000000000000000 -171493085687357545500508851/1000000000000000000000000000 345955772233786298957949/4000000000000000000000000 231841190560239716144523/3125000000000000000000000 547705035944907590119077/3125000000000000000000000 -103980958343543895624773217/1000000000000000000000000000
-409256045330762609384040539/1000000000000000000000000000 -269216130175929572813747799/1000000000000000000000000000 638278367717638782086686717/1000000000000000000000000000 -24669597506840927458925287/100000000000000000000000000 369717776517086808282845833/1000000000000000000000000000 -5176236800130599229459827/20000000000000000000000000 -3229405349389340418614977/25000000000000000000000000 -10525250244171320830048763/25000000000000000000000000 199990081076943203331167411/1000000000000000000000000000
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-143125730170600975165490437/1000000000000000000000000000 -103980958343543895624773217/1000000000000000000000000000 199990081076943203331167411/1000000000000000000000000000 -8409924600932337807062951/100000000000000000000000000 135070044076489366088700339/1000000000000000000000000000 -1061198853365391805569993/20000000000000000000000000 -3241809305907960543643767/50000000000000000000000000 -6452898452950155551960653/50000000000000000000000000 86929605761362966701680513/1000000000000000000000000000


--- 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 :
36414669396792815395614751/1000000000000000000000000000 1057439619733201037/1000000000000000000000000000 -535133951597415025457/250000000000000000000000 2140535664063132032224661/1000000000000000000000000000 2140539444597459278939463/1000000000000000000000000000 -546282702881148050159917/100000000000000000000000000 43126461562592149/250000000000000000000000000
1057439619733201037/1000000000000000000000000000 393008186154968898661881079/1000000000000000000000000000 1647252959873908709003237/2500000000000000000000000 -658901185168379633792393633/1000000000000000000000000000 658901184335375630942734101/1000000000000000000000000000 -45587413515579767/100000000000000000000000000 14520054837571170809342423/250000000000000000000000000
-535133951597415025457/250000000000000000000000 1647252959873908709003237/2500000000000000000000000 1424036020148983250361586391/1000000000000000000000000000 -785588290615705126528969303/1000000000000000000000000000 785336638131172269332406673/1000000000000000000000000000 80279096857732639351667/250000000000000000000000000 48687440287787980600529253/500000000000000000000000000
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43126461562592149/250000000000000000000000000 14520054837571170809342423/250000000000000000000000000 48687440287787980600529253/500000000000000000000000000 -48687440676915904474166951/500000000000000000000000000 48687440606413788238447873/500000000000000000000000000 3255333895522703/62500000000000000000000000 48341945289947182800699293/250000000000000000000000000


--- 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 :
1075893426477273904103129637/200000000000000000000000000 2227054013210532609034779243/500000000000000000000000000 270246459612382663404756273/250000000000000000000000000 -2554688855282852602387509153/1000000000000000000000000000 -343761338664238951577987979/500000000000000000000000000 -39498997584127058353950507/20000000000000000000000000 -759945104462801416377747843/500000000000000000000000000 19366639636203733859745237/200000000000000000000000000 1510503274516078009357600821/1000000000000000000000000000 -150298249518347086192981413/200000000000000000000000000 51451035530643163205306499/200000000000000000000000000 -54539196100545125429960493/25000000000000000000000000
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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 :
37341394170656453197024509/6250000000000000000000000 1805585751014733130494807/781250000000000000000000 116964612362697309464483313/25000000000000000000000000 23363425867920162400316493/12500000000000000000000000
1805585751014733130494807/781250000000000000000000 87306325237029181485861/97656250000000000000000 5655644148953726520958899/3125000000000000000000000 1129702566787266603444039/1562500000000000000000000
116964612362697309464483313/25000000000000000000000000 5655644148953726520958899/3125000000000000000000000 366368767128320113629877941/100000000000000000000000000 73181361081941001504195201/50000000000000000000000000
23363425867920162400316493/12500000000000000000000000 1129702566787266603444039/1562500000000000000000000 73181361081941001504195201/50000000000000000000000000 14617817047515049463036061/25000000000000000000000000


--- 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 :
24784064260888934421/625000000000000000000000 300095026338477103461/1250000000000000000000000 197138441686017321/5000000000000000000000 172996219048580267067/2500000000000000000000000 -102294609086338287507/2500000000000000000000000 -400626975115538927091/2500000000000000000000000
300095026338477103461/1250000000000000000000000 3633666532054947762101/2500000000000000000000000 2387028423883282361/10000000000000000000000 2094705063921529479147/5000000000000000000000000 -1238622652237581525187/5000000000000000000000000 -4850946212196832496931/5000000000000000000000000
197138441686017321/5000000000000000000000 2387028423883282361/10000000000000000000000 1568086847310221/40000000000000000000 1376053769140235367/20000000000000000000000 -813676062807211807/20000000000000000000000 -3186683860253492991/20000000000000000000000
172996219048580267067/2500000000000000000000000 2094705063921529479147/5000000000000000000000000 1376053769140235367/20000000000000000000000 1207537693982356718709/10000000000000000000000000 -714030613167654098589/10000000000000000000000000 -2796432062727876548157/10000000000000000000000000
-102294609086338287507/2500000000000000000000000 -1238622652237581525187/5000000000000000000000000 -813676062807211807/20000000000000000000000 -714030613167654098589/10000000000000000000000000 422214328448139800069/10000000000000000000000000 1653561715200956447397/10000000000000000000000000
-400626975115538927091/2500000000000000000000000 -4850946212196832496931/5000000000000000000000000 -3186683860253492991/20000000000000000000000 -2796432062727876548157/10000000000000000000000000 1653561715200956447397/10000000000000000000000000 6476015051474446670661/10000000000000000000000000


--- 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 :
11091938916924432913782831/500000000000000000000000000 -9794784506506132366820793/500000000000000000000000000 -648577175326716039109881/500000000000000000000000000 27081779937092466733169037/500000000000000000000000000 -27081779937092466733169037/500000000000000000000000000 5416355963171169668482581/100000000000000000000000000 -11531213022734025224112273/500000000000000000000000000 -12150065934735819386187813/250000000000000000000000000 11223483592318581673897041/250000000000000000000000000 231645578911249896962073/125000000000000000000000000
-9794784506506132366820793/500000000000000000000000000 11091938937725400489514671/500000000000000000000000000 -129715457560143680433513/100000000000000000000000000 -27081780005570471751637383/500000000000000000000000000 27081780005570471751637383/500000000000000000000000000 -27081779786280374271885759/500000000000000000000000000 -11531213062870917258157401/500000000000000000000000000 11223483585861587716351311/250000000000000000000000000 -12150065939165007222099597/250000000000000000000000000 231645605559707741302299/125000000000000000000000000
-648577175326716039109881/500000000000000000000000000 -129715457560143680433513/100000000000000000000000000 22183877786062235827403127/1000000000000000000000000000 54163559679799592281851687/1000000000000000000000000000 -54163559679799592281851687/1000000000000000000000000000 -27081779782042416383178351/500000000000000000000000000 11531213264761632762034599/500000000000000000000000000 37063292629282658538837/20000000000000000000000000 1853164841951564305761597/1000000000000000000000000000 -24300131825635417140651021/500000000000000000000000000
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-27081779937092466733169037/500000000000000000000000000 27081780005570471751637383/500000000000000000000000000 -54163559679799592281851687/1000000000000000000000000000 -280914449165004327708493727/1000000000000000000000000000 280914449165004327708493727/1000000000000000000000000000 -2173724246897979/500000000000000000000000000 -21287483869638829/500000000000000000000000000 60612410135469855008459131/500000000000000000000000000 -121224820345088325048908649/1000000000000000000000000000 60612409998377932575049673/500000000000000000000000000
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-12150065934735819386187813/250000000000000000000000000 11223483585861587716351311/250000000000000000000000000 37063292629282658538837/20000000000000000000000000 -60612410135469855008459131/500000000000000000000000000 60612410135469855008459131/500000000000000000000000000 -30306205044117490750602579/250000000000000000000000000 8236967318742884856138139/250000000000000000000000000 26818339015024288296685127/250000000000000000000000000 -50989175658983101400270373/500000000000000000000000000 -661875611192361492688619/250000000000000000000000000
11223483592318581673897041/250000000000000000000000000 -12150065939165007222099597/250000000000000000000000000 1853164841951564305761597/1000000000000000000000000000 121224820345088325048908649/1000000000000000000000000000 -121224820345088325048908649/1000000000000000000000000000 30306205043068046168267751/250000000000000000000000000 8236967138703219526906593/250000000000000000000000000 -50989175658983101400270373/500000000000000000000000000 107273356012946687825851761/1000000000000000000000000000 -1323751153582822417783641/500000000000000000000000000
231645578911249896962073/125000000000000000000000000 231645605559707741302299/125000000000000000000000000 -24300131825635417140651021/500000000000000000000000000 -60612409998377932575049673/500000000000000000000000000 60612409998377932575049673/500000000000000000000000000 3030620511958462371516087/25000000000000000000000000 -4118483621814146224227647/125000000000000000000000000 -661875611192361492688619/250000000000000000000000000 -1323751153582822417783641/500000000000000000000000000 26818339008259482277068569/250000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 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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-632313175775602461219291/62500000000000000000000000 632313175775602461219291/62500000000000000000000000 -1316885705214831/62500000000000000000000000 -10848867119414993995057551/125000000000000000000000000 10848867119414993995057551/125000000000000000000000000 -21697734081124543681439301/250000000000000000000000000 0/1 25775412465131744845001373/250000000000000000000000000 -25775412465131744845001373/250000000000000000000000000 11576391662830773/50000000000000000000000000
1316885705214831/62500000000000000000000000 -1316885705214831/62500000000000000000000000 632313161270861540891247/62500000000000000000000000 10848866951848195169335161/125000000000000000000000000 -10848866951848195169335161/125000000000000000000000000 -21697733998120925879700453/250000000000000000000000000 0/1 32388347407170357/250000000000000000000000000 -32388347407170357/250000000000000000000000000 -25775412194486761851237327/250000000000000000000000000
10848867119414993995057551/125000000000000000000000000 -10848867119414993995057551/125000000000000000000000000 10848866951848195169335161/125000000000000000000000000 186138643904213061862110093/125000000000000000000000000 -186138643904213061862110093/125000000000000000000000000 -682787108543285847/250000000000000000000000000 0/1 -221119877429067347871386139/250000000000000000000000000 221119877429067347871386139/250000000000000000000000000 -44223975507734387683315143/50000000000000000000000000
-10848867119414993995057551/125000000000000000000000000 10848867119414993995057551/125000000000000000000000000 -10848866951848195169335161/125000000000000000000000000 -186138643904213061862110093/125000000000000000000000000 186138643904213061862110093/125000000000000000000000000 682787108543285847/250000000000000000000000000 0/1 221119877429067347871386139/250000000000000000000000000 -221119877429067347871386139/250000000000000000000000000 44223975507734387683315143/50000000000000000000000000
21697734081124543681439301/250000000000000000000000000 -21697734081124543681439301/250000000000000000000000000 -21697733998120925879700453/250000000000000000000000000 -682787108543285847/250000000000000000000000000 682787108543285847/250000000000000000000000000 744554576546667238530412761/500000000000000000000000000 0/1 -442239754597268333120512839/500000000000000000000000000 442239754597268333120512839/500000000000000000000000000 442239756857738191473214569/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-25775412465131744845001373/250000000000000000000000000 25775412465131744845001373/250000000000000000000000000 32388347407170357/250000000000000000000000000 -221119877429067347871386139/250000000000000000000000000 221119877429067347871386139/250000000000000000000000000 -442239754597268333120512839/500000000000000000000000000 0/1 525350343152934383163401997/500000000000000000000000000 -525350343152934383163401997/500000000000000000000000000 -114902619988437423/100000000000000000000000000
25775412465131744845001373/250000000000000000000000000 -25775412465131744845001373/250000000000000000000000000 -32388347407170357/250000000000000000000000000 221119877429067347871386139/250000000000000000000000000 -221119877429067347871386139/250000000000000000000000000 442239754597268333120512839/500000000000000000000000000 0/1 -525350343152934383163401997/500000000000000000000000000 525350343152934383163401997/500000000000000000000000000 114902619988437423/100000000000000000000000000
-11576391662830773/50000000000000000000000000 11576391662830773/50000000000000000000000000 -25775412194486761851237327/250000000000000000000000000 -44223975507734387683315143/50000000000000000000000000 44223975507734387683315143/50000000000000000000000000 442239756857738191473214569/500000000000000000000000000 0/1 -114902619988437423/100000000000000000000000000 114902619988437423/100000000000000000000000000 525350344171550828202428397/500000000000000000000000000

