#Density : 5077660693722518830531736569/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {9, 10, 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 :
61966784536150128654696467/500000000000000000000000000 -96691228212963480584825037/1000000000000000000000000000 -36324581500283136084470471/1000000000000000000000000000 -1002996039562453880621289/1000000000000000000000000000 129239576545983465873512999/1000000000000000000000000000 1271869351924793035545097/200000000000000000000000000
-96691228212963480584825037/1000000000000000000000000000 113003230747809591454237841/1000000000000000000000000000 14169963913185300062886139/500000000000000000000000000 -694234756140439085973681/125000000000000000000000000 -113503703576135158499734557/1000000000000000000000000000 -8518234107522607104522211/200000000000000000000000000
-36324581500283136084470471/1000000000000000000000000000 14169963913185300062886139/500000000000000000000000000 10646632958669636575548489/1000000000000000000000000000 293975335255780781889141/1000000000000000000000000000 -9469939347708299964339079/250000000000000000000000000 -93195337601441731977123/50000000000000000000000000
-1002996039562453880621289/1000000000000000000000000000 -694234756140439085973681/125000000000000000000000000 293975335255780781889141/1000000000000000000000000000 7721037443779727525777481/1000000000000000000000000000 7189951386906996656836107/500000000000000000000000000 -3496305995811637898544069/500000000000000000000000000
129239576545983465873512999/1000000000000000000000000000 -113503703576135158499734557/1000000000000000000000000000 -9469939347708299964339079/250000000000000000000000000 7189951386906996656836107/500000000000000000000000000 165624432691397202834853681/1000000000000000000000000000 -7250679977813864977079777/1000000000000000000000000000
1271869351924793035545097/200000000000000000000000000 -8518234107522607104522211/200000000000000000000000000 -93195337601441731977123/50000000000000000000000000 -3496305995811637898544069/500000000000000000000000000 -7250679977813864977079777/1000000000000000000000000000 64596274232053992428725317/1000000000000000000000000000


--- 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 :
15867689544071963473940967/50000000000000000000000000 -6837381412049970240382371/20000000000000000000000000 -12713057505824282124624981/25000000000000000000000000 -46602698575118303766075249/100000000000000000000000000 -92288048629630676720037/500000000000000000000000 64161574132038428995121319/100000000000000000000000000
-6837381412049970240382371/20000000000000000000000000 2946225059672394126038223/8000000000000000000000000 5478051662103471971526153/10000000000000000000000000 20081085157600838631138837/40000000000000000000000000 39766885185268832368281/200000000000000000000000 -27647197981772926534395747/40000000000000000000000000
-12713057505824282124624981/25000000000000000000000000 5478051662103471971526153/10000000000000000000000000 10185593226883852527580383/12500000000000000000000000 37337684561229236251875507/50000000000000000000000000 73940397313049523638991/250000000000000000000000 -51405705874145184003770517/50000000000000000000000000
-46602698575118303766075249/100000000000000000000000000 20081085157600838631138837/40000000000000000000000000 37337684561229236251875507/50000000000000000000000000 136870053352833857007597303/200000000000000000000000000 271045894893961309549539/1000000000000000000000000 -188439690042812318455420593/200000000000000000000000000
-92288048629630676720037/500000000000000000000000 39766885185268832368281/200000000000000000000000 73940397313049523638991/250000000000000000000000 271045894893961309549539/1000000000000000000000000 536756400243978063807/5000000000000000000000 -373170048305071729230309/1000000000000000000000000
64161574132038428995121319/100000000000000000000000000 -27647197981772926534395747/40000000000000000000000000 -51405705874145184003770517/50000000000000000000000000 -188439690042812318455420593/200000000000000000000000000 -373170048305071729230309/1000000000000000000000000 259439635724347185752948583/200000000000000000000000000


--- 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 :
4950518251219425679617173/125000000000000000000000000 -171644198306665708519051/31250000000000000000000000 -2627894061798707401026171/125000000000000000000000000
-171644198306665708519051/31250000000000000000000000 118787282345208252087/10000000000000000000000 -20503283010379791141949/2500000000000000000000000
-2627894061798707401026171/125000000000000000000000000 -20503283010379791141949/2500000000000000000000000 27845917152034299229249/1250000000000000000000000


--- 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 :
4462530615815128613976086067/1000000000000000000000000000 130453184549148877561258871/200000000000000000000000000 11089205077984770814374697/4000000000000000000000000 1055614641463724142416760783/500000000000000000000000000 1760392587428521503991763177/1000000000000000000000000000 -93109841265678910972747743/50000000000000000000000000 -329167214054417570489072969/250000000000000000000000000 -75956184699272683414884593/50000000000000000000000000 -4299982141565368952141475579/1000000000000000000000000000 -769666191225785483915439213/500000000000000000000000000 -82665705966290471319084101/62500000000000000000000000 -1936520987044331573687384433/1000000000000000000000000000
130453184549148877561258871/200000000000000000000000000 11430961059359357825241719/100000000000000000000000000 98697925338913854121401609/200000000000000000000000000 37552953812896662310543457/100000000000000000000000000 271811585098823457934253291/1000000000000000000000000000 -13906065819241998937648599/50000000000000000000000000 -243667212172010885972688761/1000000000000000000000000000 -122491705467700759938144091/500000000000000000000000000 -76518925791312881702569927/100000000000000000000000000 -261698650076884275223671287/1000000000000000000000000000 -194805484856001162028030189/1000000000000000000000000000 -63156681229831698882109443/250000000000000000000000000
11089205077984770814374697/4000000000000000000000000 98697925338913854121401609/200000000000000000000000000 2133028319651548930153758439/1000000000000000000000000000 811535487129953509466721097/500000000000000000000000000 580557172153582410914558201/500000000000000000000000000 -37014973773514570796279491/31250000000000000000000000 -1056285489206752576753680209/1000000000000000000000000000 -262621734508034609751476731/250000000000000000000000000 -3307326670111391026127339501/1000000000000000000000000000 -1127075805610723147606956233/1000000000000000000000000000 -828570770556073196027182591/1000000000000000000000000000 -212294223007196517667467471/200000000000000000000000000
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--- Term 9 ---

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

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

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

Matrix :
118527217366402256641339873/62500000000000000000000000 853732473451370210742054871/500000000000000000000000000 -431118024406730153842220193/500000000000000000000000000 335553370703178522326781517/500000000000000000000000000
853732473451370210742054871/500000000000000000000000000 307464881240010054545611823/200000000000000000000000000 -4851990241991827369420881/6250000000000000000000000 75529278814836441956484179/125000000000000000000000000
-431118024406730153842220193/500000000000000000000000000 -4851990241991827369420881/6250000000000000000000000 15681018680612902057515417/40000000000000000000000000 -305126344647167256236404101/1000000000000000000000000000
335553370703178522326781517/500000000000000000000000000 75529278814836441956484179/125000000000000000000000000 -305126344647167256236404101/1000000000000000000000000000 610801236762746624084779541/200000000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

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

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

Matrix :
4607545846424763362438753889/1000000000000000000000000000 -195175610109335914007961263/1000000000000000000000000000 -1143052551141173444898328417/1000000000000000000000000000 499888840451456283950928007/500000000000000000000000000 220645591290590296463695869/1000000000000000000000000000 150068984575872282606666779/1000000000000000000000000000 -111143188996984087415386393/125000000000000000000000000 -74824966196869874598057249/200000000000000000000000000 -346294167666301137700245461/500000000000000000000000000 -2876407420789053403332258417/1000000000000000000000000000
-195175610109335914007961263/1000000000000000000000000000 1061579801798135722513351/7812500000000000000000000 348558373687185047784097359/1000000000000000000000000000 23349494119740318811939461/250000000000000000000000000 -54031262459985647132669337/500000000000000000000000000 -26286316228960314497302683/250000000000000000000000000 30047480276908401376737823/500000000000000000000000000 -59086554160484708280343999/200000000000000000000000000 -26523498010898881277661843/500000000000000000000000000 84863982421374597036852741/500000000000000000000000000
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--- Term 11 ---

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

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

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

Matrix :
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 2598968274981913415688918659/1000000000000000000000000000 -320349494653385516650582311/1000000000000000000000000000 119494165241916517781241369/1000000000000000000000000000 66995824010036548769735289/200000000000000000000000000
0/1 0/1 -320349494653385516650582311/1000000000000000000000000000 153066277936489665687036007/62500000000000000000000000 120783838283446914997887449/250000000000000000000000000 -426676287333765602595640503/1000000000000000000000000000
0/1 0/1 119494165241916517781241369/1000000000000000000000000000 120783838283446914997887449/250000000000000000000000000 2093092561187340633399315529/1000000000000000000000000000 6369407819769913226287131/100000000000000000000000000
0/1 0/1 66995824010036548769735289/200000000000000000000000000 -426676287333765602595640503/1000000000000000000000000000 6369407819769913226287131/100000000000000000000000000 67551934228754644564494447/40000000000000000000000000


--- 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 :
638424853251787505178373/25000000000000000000000000 -7883820926743357430879721/250000000000000000000000000 17370326647974521039982521/500000000000000000000000000 1090600014925104523455999/50000000000000000000000000 16995346909980192885751079/500000000000000000000000000 526512151835295006033577/15625000000000000000000000 -11487041302234728765270691/100000000000000000000000000 -1163795221410134463325869/100000000000000000000000000 9777288526511882018486511/100000000000000000000000000
-7883820926743357430879721/250000000000000000000000000 38942489214431262573774453/1000000000000000000000000000 -42900756145112024384472591/1000000000000000000000000000 -26935339918076600385696939/1000000000000000000000000000 -2623415092310822231138163/62500000000000000000000000 -41611688574535413222172881/1000000000000000000000000000 70925948562036076797282771/500000000000000000000000000 2874309503480021144386863/200000000000000000000000000 -120738394659146645314359621/1000000000000000000000000000
17370326647974521039982521/500000000000000000000000000 -42900756145112024384472591/1000000000000000000000000000 5907669601216471804628713/125000000000000000000000000 29673153178845427044467417/1000000000000000000000000000 46241108224145378788947473/1000000000000000000000000000 45841263602420498770639277/1000000000000000000000000000 -156270278813768271054255301/1000000000000000000000000000 -39580819886072332273423/2500000000000000000000000 66505358685505312753087929/500000000000000000000000000
1090600014925104523455999/50000000000000000000000000 -26935339918076600385696939/1000000000000000000000000000 29673153178845427044467417/1000000000000000000000000000 147287324497654450133114029/1000000000000000000000000000 907268367514794708096169/31250000000000000000000000 -8075096552945697519439157/200000000000000000000000000 -49057329676276949201368257/500000000000000000000000000 -60368091490605620888281133/1000000000000000000000000000 83511089403023882212045131/1000000000000000000000000000
16995346909980192885751079/500000000000000000000000000 -2623415092310822231138163/62500000000000000000000000 46241108224145378788947473/1000000000000000000000000000 907268367514794708096169/31250000000000000000000000 9048576825271473615270811/200000000000000000000000000 22425835408945066995425263/500000000000000000000000000 -152896813858650670279794889/1000000000000000000000000000 -3098109881909488186588529/200000000000000000000000000 130139365268024406838534557/1000000000000000000000000000
526512151835295006033577/15625000000000000000000000 -41611688574535413222172881/1000000000000000000000000000 45841263602420498770639277/1000000000000000000000000000 -8075096552945697519439157/200000000000000000000000000 22425835408945066995425263/500000000000000000000000000 488590592845675167749926673/1000000000000000000000000000 -18946840164078361963936637/125000000000000000000000000 -57512874172786240513169329/1000000000000000000000000000 25802811097812956598110943/200000000000000000000000000
-11487041302234728765270691/100000000000000000000000000 70925948562036076797282771/500000000000000000000000000 -156270278813768271054255301/1000000000000000000000000000 -49057329676276949201368257/500000000000000000000000000 -152896813858650670279794889/1000000000000000000000000000 -18946840164078361963936637/125000000000000000000000000 516709669145689249753261039/1000000000000000000000000000 52349793632345834941166433/1000000000000000000000000000 -439801632705286848043202001/1000000000000000000000000000
-1163795221410134463325869/100000000000000000000000000 2874309503480021144386863/200000000000000000000000000 -39580819886072332273423/2500000000000000000000000 -60368091490605620888281133/1000000000000000000000000000 -3098109881909488186588529/200000000000000000000000000 -57512874172786240513169329/1000000000000000000000000000 52349793632345834941166433/1000000000000000000000000000 25070592584523180002843477/125000000000000000000000000 -22278976128554704506003141/500000000000000000000000000
9777288526511882018486511/100000000000000000000000000 -120738394659146645314359621/1000000000000000000000000000 66505358685505312753087929/500000000000000000000000000 83511089403023882212045131/1000000000000000000000000000 130139365268024406838534557/1000000000000000000000000000 25802811097812956598110943/200000000000000000000000000 -439801632705286848043202001/1000000000000000000000000000 -22278976128554704506003141/500000000000000000000000000 93585183169708895863957221/250000000000000000000000000


--- 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 :
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 28456104140234129605886199/15625000000000000000000000 -206142344839383003968107913/500000000000000000000000000 -30406177848249269593715871/100000000000000000000000000 18689075531151486304179939/250000000000000000000000000 23739397964094785229699447/62500000000000000000000000
0/1 0/1 -206142344839383003968107913/500000000000000000000000000 910595332037414881277074813/500000000000000000000000000 -22096883956580544321335457/20000000000000000000000000 -18689075457256502279314289/250000000000000000000000000 -94957592102466346745026123/250000000000000000000000000
0/1 0/1 -30406177848249269593715871/100000000000000000000000000 -22096883956580544321335457/20000000000000000000000000 910595332936383315229045331/500000000000000000000000000 -584033618103381462835359/7812500000000000000000000 94957592448829766325563569/250000000000000000000000000
0/1 0/1 18689075531151486304179939/250000000000000000000000000 -18689075457256502279314289/250000000000000000000000000 -584033618103381462835359/7812500000000000000000000 84426461173160835035972261/125000000000000000000000000 -156222411535956161/250000000000000000000000000
0/1 0/1 23739397964094785229699447/62500000000000000000000000 -94957592102466346745026123/250000000000000000000000000 94957592448829766325563569/250000000000000000000000000 -156222411535956161/250000000000000000000000000 297639916659651398492112653/250000000000000000000000000


--- 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 :
2738038631414225718420163791/200000000000000000000000000 -24123276783032887525073129/62500000000000000000000000 -63764594707906217275852963/125000000000000000000000000 280282530843957530255601657/250000000000000000000000000 -737542300943334236683781101/125000000000000000000000000 -25976378883636783827720693/500000000000000000000000000 1386180306299239392577869399/1000000000000000000000000000 12669875814840382820738443/8000000000000000000000000 273323719435970246070474211/1000000000000000000000000000 -4582928878551610398573696029/1000000000000000000000000000 -1715747240771374698039865059/500000000000000000000000000 49029650200480515223508163/1000000000000000000000000000
-24123276783032887525073129/62500000000000000000000000 616999697059391854326600721/500000000000000000000000000 -85129660140361720715433951/500000000000000000000000000 -14177676270562272818889921/250000000000000000000000000 -41375103583234724743961409/500000000000000000000000000 -10334824885715987396615879/1000000000000000000000000000 -142378252329608416139255121/500000000000000000000000000 -230667738170575787915182053/1000000000000000000000000000 -4985495457245254513422573/125000000000000000000000000 16151015616146689096103897/125000000000000000000000000 46487528082022806110446669/250000000000000000000000000 -896312287810426513357547/100000000000000000000000000
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-1715747240771374698039865059/500000000000000000000000000 46487528082022806110446669/250000000000000000000000000 38054346343985997082826017/500000000000000000000000000 -284560170067366711442242131/1000000000000000000000000000 1263802041198861650799081073/1000000000000000000000000000 6930284990998503240938149/500000000000000000000000000 -727263792092627423932276603/1000000000000000000000000000 -164865582111900268370234157/250000000000000000000000000 -4950735633202007056921153/50000000000000000000000000 574363523469619147741112489/500000000000000000000000000 1897032599447666335551866259/1000000000000000000000000000 9967010530025505124950591/100000000000000000000000000
49029650200480515223508163/1000000000000000000000000000 -896312287810426513357547/100000000000000000000000000 4678236284773716524968259/125000000000000000000000000 -7341449739565161304436127/62500000000000000000000000 27873171479918035142029657/250000000000000000000000000 -865055623858428797782923/125000000000000000000000000 -24878246255287148381055293/100000000000000000000000000 -395875248174979379225405307/1000000000000000000000000000 3653680468419062002045743/500000000000000000000000000 -8206582403238562672982369/500000000000000000000000000 9967010530025505124950591/100000000000000000000000000 83318313843895781548867799/125000000000000000000000000


--- 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 :
3919110254002021634695030599/1000000000000000000000000000 33830564412317400446834851/200000000000000000000000000 577173568057998607767546623/1000000000000000000000000000 -556089480423784638782452149/1000000000000000000000000000
33830564412317400446834851/200000000000000000000000000 1854928955643203824941344537/1000000000000000000000000000 201933719710273446571098093/1000000000000000000000000000 118560466695613718275855687/200000000000000000000000000
577173568057998607767546623/1000000000000000000000000000 201933719710273446571098093/1000000000000000000000000000 1000087603490488903531398749/500000000000000000000000000 401038466162447159475754757/1000000000000000000000000000
-556089480423784638782452149/1000000000000000000000000000 118560466695613718275855687/200000000000000000000000000 401038466162447159475754757/1000000000000000000000000000 2646771326881500237679005531/1000000000000000000000000000


--- 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 :
2356545309588859681928227423/1000000000000000000000000000 -19602859671268568878489561/1000000000000000000000000000 -72841678473381001193614311/1000000000000000000000000000 -1566457351239705831574455193/1000000000000000000000000000 80048143933369203586887641/1000000000000000000000000000 -2824201461356426635599971/250000000000000000000000000
-19602859671268568878489561/1000000000000000000000000000 204139320899037013650805573/1000000000000000000000000000 -32952985027244145697712059/1000000000000000000000000000 22569805560755774653500073/1000000000000000000000000000 -49109694834067385595524597/1000000000000000000000000000 -2361324871181158207763891/250000000000000000000000000
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-1566457351239705831574455193/1000000000000000000000000000 22569805560755774653500073/1000000000000000000000000000 46302779565393687076639713/500000000000000000000000000 317922957859038270655182451/250000000000000000000000000 -9374521641976500416874389/250000000000000000000000000 -44583468900744160378323659/200000000000000000000000000
80048143933369203586887641/1000000000000000000000000000 -49109694834067385595524597/1000000000000000000000000000 -12341039195255141815168877/500000000000000000000000000 -9374521641976500416874389/250000000000000000000000000 3998844798618205540785059/50000000000000000000000000 -16095744794122957946447981/1000000000000000000000000000
-2824201461356426635599971/250000000000000000000000000 -2361324871181158207763891/250000000000000000000000000 -43836600258632128006695301/1000000000000000000000000000 -44583468900744160378323659/200000000000000000000000000 -16095744794122957946447981/1000000000000000000000000000 46096156319042725376134247/200000000000000000000000000


--- 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 :
1174497456712829470165036683/1000000000000000000000000000 -59023028384811982924047863/100000000000000000000000000 -292133586177051951100703621/1000000000000000000000000000 -5702501408825232711881223/1000000000000000000000000000 2851250621218595077082487/500000000000000000000000000 -2851250499965202788795179/500000000000000000000000000 0/1 -1468843185400146612776883/12500000000000000000000000 -479628237539274723814261/40000000000000000000000000 64749079615285575340605549/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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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 :
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 92353027/1000000000 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 :
133107038533644684312382397/250000000000000000000000000 -133107038533644684312382397/250000000000000000000000000 379721487861772251/1000000000000000000000000000 -98371917343081016751736311/500000000000000000000000000 4918595868449924022076631/25000000000000000000000000 -196743834423270219103870587/1000000000000000000000000000 0/1 0/1 0/1 0/1
-133107038533644684312382397/250000000000000000000000000 133107038533644684312382397/250000000000000000000000000 -379721487861772251/1000000000000000000000000000 98371917343081016751736311/500000000000000000000000000 -4918595868449924022076631/25000000000000000000000000 196743834423270219103870587/1000000000000000000000000000 0/1 0/1 0/1 0/1
379721487861772251/1000000000000000000000000000 -379721487861772251/1000000000000000000000000000 266214076800273907323499871/500000000000000000000000000 -24592979301055991684694803/125000000000000000000000000 4918595866125883807222831/25000000000000000000000000 196743833967513002294679391/1000000000000000000000000000 0/1 0/1 0/1 0/1
-98371917343081016751736311/500000000000000000000000000 98371917343081016751736311/500000000000000000000000000 -24592979301055991684694803/125000000000000000000000000 1399689692313482163568094333/1000000000000000000000000000 -160742333327347461777104429/200000000000000000000000000 -148994507265177652899714191/500000000000000000000000000 0/1 0/1 0/1 0/1
4918595868449924022076631/25000000000000000000000000 -4918595868449924022076631/25000000000000000000000000 4918595866125883807222831/25000000000000000000000000 -160742333327347461777104429/200000000000000000000000000 279937939145732374139067257/200000000000000000000000000 -14899450680160640185230387/50000000000000000000000000 0/1 0/1 0/1 0/1
-196743834423270219103870587/1000000000000000000000000000 196743834423270219103870587/1000000000000000000000000000 196743833967513002294679391/1000000000000000000000000000 -148994507265177652899714191/500000000000000000000000000 -14899450680160640185230387/50000000000000000000000000 10935075737897217760571141/7812500000000000000000000 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 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1

