#Density : 1251613085210831604434955087/8000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 9, 10, 11, 12, 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 :
313696280973729599118305337/1000000000000000000000000000 1229550287889425124178479/20000000000000000000000000 48370241830627219448461869/1000000000000000000000000000 -829899899448504246332829/3906250000000000000000000 38120521021015331564752431/100000000000000000000000000 -189290769456573718494519291/1000000000000000000000000000
1229550287889425124178479/20000000000000000000000000 4819291786808186388393/400000000000000000000000 189589894351056759698523/20000000000000000000000000 -3252839520822265524843/78125000000000000000000 149415534830039917169577/2000000000000000000000000 -741935860245764176651197/20000000000000000000000000
48370241830627219448461869/1000000000000000000000000000 189589894351056759698523/20000000000000000000000000 7458425351715582135451953/1000000000000000000000000000 -127966001722854602629473/3906250000000000000000000 5877974755621781774637147/100000000000000000000000000 -29187595933554421529042967/1000000000000000000000000000
-829899899448504246332829/3906250000000000000000000 -3252839520822265524843/78125000000000000000000 -127966001722854602629473/3906250000000000000000000 2195543539651703003793/15258789062500000000000 -100849829854739596203627/390625000000000000000000 500778619532617866278247/3906250000000000000000000
38120521021015331564752431/100000000000000000000000000 149415534830039917169577/2000000000000000000000000 5877974755621781774637147/100000000000000000000000000 -100849829854739596203627/390625000000000000000000 4632423815809813211043753/10000000000000000000000000 -23002704188124485819391933/100000000000000000000000000
-189290769456573718494519291/1000000000000000000000000000 -741935860245764176651197/20000000000000000000000000 -29187595933554421529042967/1000000000000000000000000000 500778619532617866278247/3906250000000000000000000 -23002704188124485819391933/100000000000000000000000000 114221932406212994665010913/1000000000000000000000000000


--- 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 :
114221932406212994665010913/1000000000000000000000000000 500778619532617866278247/3906250000000000000000000 -23002704188124485819391933/100000000000000000000000000 -741935860245764176651197/20000000000000000000000000 -29187595933554421529042967/1000000000000000000000000000 -189290769456573718494519291/1000000000000000000000000000
500778619532617866278247/3906250000000000000000000 2195543539651703003793/15258789062500000000000 -100849829854739596203627/390625000000000000000000 -3252839520822265524843/78125000000000000000000 -127966001722854602629473/3906250000000000000000000 -829899899448504246332829/3906250000000000000000000
-23002704188124485819391933/100000000000000000000000000 -100849829854739596203627/390625000000000000000000 4632423815809813211043753/10000000000000000000000000 149415534830039917169577/2000000000000000000000000 5877974755621781774637147/100000000000000000000000000 38120521021015331564752431/100000000000000000000000000
-741935860245764176651197/20000000000000000000000000 -3252839520822265524843/78125000000000000000000 149415534830039917169577/2000000000000000000000000 4819291786808186388393/400000000000000000000000 189589894351056759698523/20000000000000000000000000 1229550287889425124178479/20000000000000000000000000
-29187595933554421529042967/1000000000000000000000000000 -127966001722854602629473/3906250000000000000000000 5877974755621781774637147/100000000000000000000000000 189589894351056759698523/20000000000000000000000000 7458425351715582135451953/1000000000000000000000000000 48370241830627219448461869/1000000000000000000000000000
-189290769456573718494519291/1000000000000000000000000000 -829899899448504246332829/3906250000000000000000000 38120521021015331564752431/100000000000000000000000000 1229550287889425124178479/20000000000000000000000000 48370241830627219448461869/1000000000000000000000000000 313696280973729599118305337/1000000000000000000000000000


--- 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 :
205006213844324655888936969/500000000000000000000000000 73039337475117536834540817/250000000000000000000000000 244357892067708115779479571/1000000000000000000000000000 72591110251107494415981987/200000000000000000000000000 -3126124856443328697358149/50000000000000000000000000 -23224070519826814377130371/200000000000000000000000000 -305264061873069699123248451/1000000000000000000000000000 142999307956456301469323997/1000000000000000000000000000 -426165730183443661793932581/1000000000000000000000000000 14136975273167130429905793/1000000000000000000000000000 -598963285926204357656568321/1000000000000000000000000000 11132679895644457840248201/250000000000000000000000000
73039337475117536834540817/250000000000000000000000000 246314709962232965926855727/250000000000000000000000000 337191359524556425818668927/1000000000000000000000000000 234689143688388886540820249/500000000000000000000000000 -170634387500769579289716221/200000000000000000000000000 18139180429605475889381027/250000000000000000000000000 -219421843972271997339384741/500000000000000000000000000 3283159418467613334457917/31250000000000000000000000 -753993855955024063950369677/1000000000000000000000000000 -17024670966389224489766809/250000000000000000000000000 -441942112522941468683407817/250000000000000000000000000 1078783811355466230289825253/500000000000000000000000000
244357892067708115779479571/1000000000000000000000000000 337191359524556425818668927/1000000000000000000000000000 179852813221449863362040063/1000000000000000000000000000 130269948611527013742894559/500000000000000000000000000 -206953299985051683693069473/1000000000000000000000000000 -18307544677088844887248387/500000000000000000000000000 -114188034308178625272977833/500000000000000000000000000 21472160464666149857116303/250000000000000000000000000 -87121775314038789680139207/250000000000000000000000000 -797931725261394811145247/100000000000000000000000000 -63837502270024697765869019/100000000000000000000000000 118162991421504560829785177/250000000000000000000000000
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11132679895644457840248201/250000000000000000000000000 1078783811355466230289825253/500000000000000000000000000 118162991421504560829785177/250000000000000000000000000 123193526170696677132437733/200000000000000000000000000 -2218913504224544054416264507/1000000000000000000000000000 206118020056542735953142019/500000000000000000000000000 -638628575252391359751090503/1000000000000000000000000000 6047942099583389892482567/250000000000000000000000000 -1278230857781761799047635243/1000000000000000000000000000 -106158950091795029311652737/500000000000000000000000000 -1866757859087055704043401049/500000000000000000000000000 5820431638014175649587477363/1000000000000000000000000000


--- 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 :
12529725513809222538042139/15625000000000000000000000 64451123969152465062647437/62500000000000000000000000 14070264546620273070911657/62500000000000000000000000 710085105979724281235513/1250000000000000000000000
64451123969152465062647437/62500000000000000000000000 1326109618701199381807928629/1000000000000000000000000000 289501749602908859293462349/1000000000000000000000000000 1141430212152191258757103/1562500000000000000000000
14070264546620273070911657/62500000000000000000000000 289501749602908859293462349/1000000000000000000000000000 63200855978430086866853989/1000000000000000000000000000 199347649087588123226107/1250000000000000000000000
710085105979724281235513/1250000000000000000000000 1141430212152191258757103/1562500000000000000000000 199347649087588123226107/1250000000000000000000000 23725621909621656592194539/12500000000000000000000000


--- 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 :
423073240844663205025008239/500000000000000000000000000 -4314340404928315304530177/20000000000000000000000000 -4952080875180734691429673/6250000000000000000000000 271551078296233585418773637/1000000000000000000000000000 -121771111476237490724528543/500000000000000000000000000 17971729514858959786801857/100000000000000000000000000 -28945191200923513139347159/125000000000000000000000000 -356769837471347841505499367/1000000000000000000000000000 147353140041444209822344853/1000000000000000000000000000 29403931013667020624881671/125000000000000000000000000
-4314340404928315304530177/20000000000000000000000000 23532160573115617804077287/100000000000000000000000000 86673039572611667841601/125000000000000000000000 17659782329695179496347733/200000000000000000000000000 37873135236457575620520899/500000000000000000000000000 -86312210184456510384902589/500000000000000000000000000 9755723936365006138000703/62500000000000000000000000 70163941155029666316742573/1000000000000000000000000000 -454886374100568387891126751/1000000000000000000000000000 -28945191200923513139347159/125000000000000000000000000
-4952080875180734691429673/6250000000000000000000000 86673039572611667841601/125000000000000000000000 2456645945704372866831890319/1000000000000000000000000000 -40587862903748186830282193/62500000000000000000000000 33548010719904310515514537/125000000000000000000000000 -305796820139995866593005797/500000000000000000000000000 86673039572611667841601/125000000000000000000000 49698881823195646195776879/200000000000000000000000000 -40587862903748186830282193/62500000000000000000000000 -4952080875180734691429673/6250000000000000000000000
271551078296233585418773637/1000000000000000000000000000 17659782329695179496347733/200000000000000000000000000 -40587862903748186830282193/62500000000000000000000000 5214616736787043587324820877/1000000000000000000000000000 -17736176657675988948410329/250000000000000000000000000 10104610671065185309020183/62500000000000000000000000 -454886374100568387891126751/1000000000000000000000000000 -65698281097438808164104233/1000000000000000000000000000 -4871280406744812528793749739/1000000000000000000000000000 147353140041444209822344853/1000000000000000000000000000
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29403931013667020624881671/125000000000000000000000000 -28945191200923513139347159/125000000000000000000000000 -4952080875180734691429673/6250000000000000000000000 147353140041444209822344853/1000000000000000000000000000 -121771111476237490724528543/500000000000000000000000000 17971729514858959786801857/100000000000000000000000000 -4314340404928315304530177/20000000000000000000000000 -356769837471347841505499367/1000000000000000000000000000 271551078296233585418773637/1000000000000000000000000000 423073240844663205025008239/500000000000000000000000000


--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

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

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

Matrix :
68505346606208982427139001/1000000000000000000000000000 -469357093516636593407699439/1000000000000000000000000000 0/1 -28671110255172550454967249/1000000000000000000000000000 -68505346606208982427139001/1000000000000000000000000000 469357093516636593407699439/1000000000000000000000000000
-469357093516636593407699439/1000000000000000000000000000 4941068760038512985499295053/1000000000000000000000000000 0/1 231251454761789696814609111/1000000000000000000000000000 469357093516636593407699439/1000000000000000000000000000 -4941068760038512985499295053/1000000000000000000000000000
0/1 0/1 17378901/12500000 0/1 0/1 0/1
-28671110255172550454967249/1000000000000000000000000000 231251454761789696814609111/1000000000000000000000000000 0/1 854001958214172884603711481/1000000000000000000000000000 28671110255172550454967249/1000000000000000000000000000 -231251454761789696814609111/1000000000000000000000000000
-68505346606208982427139001/1000000000000000000000000000 469357093516636593407699439/1000000000000000000000000000 0/1 28671110255172550454967249/1000000000000000000000000000 68505346606208982427139001/1000000000000000000000000000 -469357093516636593407699439/1000000000000000000000000000
469357093516636593407699439/1000000000000000000000000000 -4941068760038512985499295053/1000000000000000000000000000 0/1 -231251454761789696814609111/1000000000000000000000000000 -469357093516636593407699439/1000000000000000000000000000 4941068760038512985499295053/1000000000000000000000000000


--- 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 :
885484232100042450904004703/1000000000000000000000000000 -63511132107874047439749357/200000000000000000000000000 2824874695187164040230437/40000000000000000000000000 19720630966576320538064929/200000000000000000000000000 -108055055186660654132502347/100000000000000000000000000 6503228053288771036355673/200000000000000000000000000 100553357450005134372068493/200000000000000000000000000 -84679071832511517783637037/200000000000000000000000000 811066508522351287807779103/1000000000000000000000000000
-63511132107874047439749357/200000000000000000000000000 237065963368139742428079/1000000000000000000000000 457547254502070004524177/100000000000000000000000000 -1722556392692749276400921/40000000000000000000000000 18876771889565138570182691/40000000000000000000000000 -4961993252231831002074207/100000000000000000000000000 -8783128137941919222939657/40000000000000000000000000 432683722194150131775107/5000000000000000000000000 -84679071832511517783637037/200000000000000000000000000
2824874695187164040230437/40000000000000000000000000 457547254502070004524177/100000000000000000000000000 805692172583041547134183/62500000000000000000000000 239774331497622880683097/40000000000000000000000000 -2627586158479542228023237/40000000000000000000000000 -206907196016470685021479/31250000000000000000000000 1222583292229423488025649/40000000000000000000000000 -4961993252231831002074207/100000000000000000000000000 6503228053288771036355673/200000000000000000000000000
19720630966576320538064929/200000000000000000000000000 -1722556392692749276400921/40000000000000000000000000 239774331497622880683097/40000000000000000000000000 2927558534071616873475747/40000000000000000000000000 -314006798567959304890687/2500000000000000000000000 239774331497622880683097/40000000000000000000000000 2337655583073614935636799/40000000000000000000000000 -1722556392692749276400921/40000000000000000000000000 19720630966576320538064929/200000000000000000000000000
-108055055186660654132502347/100000000000000000000000000 18876771889565138570182691/40000000000000000000000000 -2627586158479542228023237/40000000000000000000000000 -314006798567959304890687/2500000000000000000000000 55057097541846018396735357/40000000000000000000000000 -2627586158479542228023237/40000000000000000000000000 -6404346376624311829370341/10000000000000000000000000 18876771889565138570182691/40000000000000000000000000 -108055055186660654132502347/100000000000000000000000000
6503228053288771036355673/200000000000000000000000000 -4961993252231831002074207/100000000000000000000000000 -206907196016470685021479/31250000000000000000000000 239774331497622880683097/40000000000000000000000000 -2627586158479542228023237/40000000000000000000000000 805692172583041547134183/62500000000000000000000000 1222583292229423488025649/40000000000000000000000000 457547254502070004524177/100000000000000000000000000 2824874695187164040230437/40000000000000000000000000
100553357450005134372068493/200000000000000000000000000 -8783128137941919222939657/40000000000000000000000000 1222583292229423488025649/40000000000000000000000000 2337655583073614935636799/40000000000000000000000000 -6404346376624311829370341/10000000000000000000000000 1222583292229423488025649/40000000000000000000000000 11919452159455256685048283/40000000000000000000000000 -8783128137941919222939657/40000000000000000000000000 100553357450005134372068493/200000000000000000000000000
-84679071832511517783637037/200000000000000000000000000 432683722194150131775107/5000000000000000000000000 -4961993252231831002074207/100000000000000000000000000 -1722556392692749276400921/40000000000000000000000000 18876771889565138570182691/40000000000000000000000000 457547254502070004524177/100000000000000000000000000 -8783128137941919222939657/40000000000000000000000000 237065963368139742428079/1000000000000000000000000 -63511132107874047439749357/200000000000000000000000000
811066508522351287807779103/1000000000000000000000000000 -84679071832511517783637037/200000000000000000000000000 6503228053288771036355673/200000000000000000000000000 19720630966576320538064929/200000000000000000000000000 -108055055186660654132502347/100000000000000000000000000 2824874695187164040230437/40000000000000000000000000 100553357450005134372068493/200000000000000000000000000 -63511132107874047439749357/200000000000000000000000000 885484232100042450904004703/1000000000000000000000000000


--- 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 :
367157251574913870608120927/1000000000000000000000000000 -4628955104576876487/500000000000000000000000000 -22537874493618146059051579/200000000000000000000000000 56344676535362048619914219/500000000000000000000000000 112689375277133742400892219/1000000000000000000000000000 845499684233076898194294131/1000000000000000000000000000 1438080082596988159/62500000000000000000000000
-4628955104576876487/500000000000000000000000000 2071419044426806624923149679/1000000000000000000000000000 16096967617798990573920079/62500000000000000000000000 -64387820897013583000492627/250000000000000000000000000 128775735191555977499622137/500000000000000000000000000 -2123068874726673109/200000000000000000000000000 422749937145960345684415541/500000000000000000000000000
-22537874493618146059051579/200000000000000000000000000 16096967617798990573920079/62500000000000000000000000 883609090696021020931639003/1000000000000000000000000000 -284301268355186943086423063/1000000000000000000000000000 -74914025796095946427776861/250000000000000000000000000 -1006059701150847206206127/3906250000000000000000000 112689359316927998493179337/1000000000000000000000000000
56344676535362048619914219/500000000000000000000000000 -64387820897013583000492627/250000000000000000000000000 -284301268355186943086423063/1000000000000000000000000000 441804545389891486731500041/500000000000000000000000000 -299656103103489734983566903/1000000000000000000000000000 257551484436889406594259453/1000000000000000000000000000 -56344686120027724187225789/500000000000000000000000000
112689375277133742400892219/1000000000000000000000000000 128775735191555977499622137/500000000000000000000000000 -74914025796095946427776861/250000000000000000000000000 -299656103103489734983566903/1000000000000000000000000000 883610310347292874989207177/1000000000000000000000000000 257551472938082656076965669/1000000000000000000000000000 112689381529723154338857683/1000000000000000000000000000
845499684233076898194294131/1000000000000000000000000000 -2123068874726673109/200000000000000000000000000 -1006059701150847206206127/3906250000000000000000000 257551484436889406594259453/1000000000000000000000000000 257551472938082656076965669/1000000000000000000000000000 1035709561040853402810756447/500000000000000000000000000 -9277712565556588553/1000000000000000000000000000
1438080082596988159/62500000000000000000000000 422749937145960345684415541/500000000000000000000000000 112689359316927998493179337/1000000000000000000000000000 -56344686120027724187225789/500000000000000000000000000 112689381529723154338857683/1000000000000000000000000000 -9277712565556588553/1000000000000000000000000000 183578393204814222664719637/500000000000000000000000000


--- Term 14 ---

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

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

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

Matrix :
5820431638014175649587477363/1000000000000000000000000000 206118020056542735953142019/500000000000000000000000000 -106158950091795029311652737/500000000000000000000000000 123193526170696677132437733/200000000000000000000000000 6047942099583389892482567/250000000000000000000000000 1078783811355466230289825253/500000000000000000000000000 -1866757859087055704043401049/500000000000000000000000000 -2218913504224544054416264507/1000000000000000000000000000 -1278230857781761799047635243/1000000000000000000000000000 118162991421504560829785177/250000000000000000000000000 -638628575252391359751090503/1000000000000000000000000000 11132679895644457840248201/250000000000000000000000000
206118020056542735953142019/500000000000000000000000000 474793562255319640879044599/500000000000000000000000000 -17538074090408535399148087/100000000000000000000000000 -60674655851217486893188947/1000000000000000000000000000 -39866386351375290634938761/1000000000000000000000000000 18139180429605475889381027/250000000000000000000000000 -9835941539471603868411213/100000000000000000000000000 -17986936539750501806478619/125000000000000000000000000 30697616428787928432807423/1000000000000000000000000000 -18307544677088844887248387/500000000000000000000000000 -37265640176092670173873669/250000000000000000000000000 -23224070519826814377130371/200000000000000000000000000
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11132679895644457840248201/250000000000000000000000000 -23224070519826814377130371/200000000000000000000000000 14136975273167130429905793/1000000000000000000000000000 72591110251107494415981987/200000000000000000000000000 142999307956456301469323997/1000000000000000000000000000 73039337475117536834540817/250000000000000000000000000 -598963285926204357656568321/1000000000000000000000000000 -3126124856443328697358149/50000000000000000000000000 -426165730183443661793932581/1000000000000000000000000000 244357892067708115779479571/1000000000000000000000000000 -305264061873069699123248451/1000000000000000000000000000 205006213844324655888936969/500000000000000000000000000


--- 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 :
23725621909621656592194539/12500000000000000000000000 1141430212152191258757103/1562500000000000000000000 199347649087588123226107/1250000000000000000000000 710085105979724281235513/1250000000000000000000000
1141430212152191258757103/1562500000000000000000000 1326109618701199381807928629/1000000000000000000000000000 289501749602908859293462349/1000000000000000000000000000 64451123969152465062647437/62500000000000000000000000
199347649087588123226107/1250000000000000000000000 289501749602908859293462349/1000000000000000000000000000 63200855978430086866853989/1000000000000000000000000000 14070264546620273070911657/62500000000000000000000000
710085105979724281235513/1250000000000000000000000 64451123969152465062647437/62500000000000000000000000 14070264546620273070911657/62500000000000000000000000 12529725513809222538042139/15625000000000000000000000


--- 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 :
30459030370727337526597/2500000000000000000000000 10710459197886233765690933/100000000000000000000000000 -302741356330970984385899/25000000000000000000000000 1015106216874170535301307/62500000000000000000000000 -8893819083299441198038393/250000000000000000000000000 -11341402207457722190734153/500000000000000000000000000
10710459197886233765690933/100000000000000000000000000 188308581779135847162040283/200000000000000000000000000 -2661360937571988527505061/25000000000000000000000000 71389361939769699883278239/500000000000000000000000000 -39092218812309631987716571/125000000000000000000000000 -199401662021607140847986059/1000000000000000000000000000
-302741356330970984385899/25000000000000000000000000 -2661360937571988527505061/25000000000000000000000000 135153016197117465087769/2500000000000000000000000 -403577697171502344435661/25000000000000000000000000 883983114556678930600181/25000000000000000000000000 563627838617941989410659/25000000000000000000000000
1015106216874170535301307/62500000000000000000000000 71389361939769699883278239/500000000000000000000000000 -403577697171502344435661/25000000000000000000000000 1353215278352256279715597/62500000000000000000000000 -11856150288865303185711983/250000000000000000000000000 -15118968330554719718863967/500000000000000000000000000
-8893819083299441198038393/250000000000000000000000000 -39092218812309631987716571/125000000000000000000000000 883983114556678930600181/25000000000000000000000000 -11856150288865303185711983/250000000000000000000000000 25969315806743610001201453/250000000000000000000000000 1034877610149171589762751/15625000000000000000000000
-11341402207457722190734153/500000000000000000000000000 -199401662021607140847986059/1000000000000000000000000000 563627838617941989410659/25000000000000000000000000 -15118968330554719718863967/500000000000000000000000000 1034877610149171589762751/15625000000000000000000000 42229645023416211022454671/1000000000000000000000000000


--- Term 17 ---

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

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

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

Matrix :
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--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

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

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

Matrix :
42229645023416211022454671/1000000000000000000000000000 1034877610149171589762751/15625000000000000000000000 563627838617941989410659/25000000000000000000000000 -15118968330554719718863967/500000000000000000000000000 -199401662021607140847986059/1000000000000000000000000000 -11341402207457722190734153/500000000000000000000000000
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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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