#Density : 14304724947034615466769102137/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

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


--- Term 1 ---

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

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

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

Matrix :
3609485014012207657097061/31250000000000000000000000 -5390274878065720792917741/125000000000000000000000000 -9903040664708970423944697/125000000000000000000000000 8437845443125316764702551/125000000000000000000000000 -19144874068470100229530329/125000000000000000000000000 3380150750896677775808049/125000000000000000000000000
-5390274878065720792917741/125000000000000000000000000 8049642303074583118096821/500000000000000000000000000 14788844143754487133617057/500000000000000000000000000 -12600774387624563419984431/500000000000000000000000000 28590265185862669247742849/500000000000000000000000000 -5047795351941506252054169/500000000000000000000000000
-9903040664708970423944697/125000000000000000000000000 14788844143754487133617057/500000000000000000000000000 27170140345829346340008669/500000000000000000000000000 -23150207362383769751957427/500000000000000000000000000 52526181902621538549654333/500000000000000000000000000 -9273835521973204563958773/500000000000000000000000000
8437845443125316764702551/125000000000000000000000000 -12600774387624563419984431/500000000000000000000000000 -23150207362383769751957427/500000000000000000000000000 19725039845207645655102141/500000000000000000000000000 -44754719244084975889689939/500000000000000000000000000 7901733765290454433362459/500000000000000000000000000
-19144874068470100229530329/125000000000000000000000000 28590265185862669247742849/500000000000000000000000000 52526181902621538549654333/500000000000000000000000000 -44754719244084975889689939/500000000000000000000000000 101545290165966944205588381/500000000000000000000000000 -17928474618164096655493461/500000000000000000000000000
3380150750896677775808049/125000000000000000000000000 -5047795351941506252054169/500000000000000000000000000 -9273835521973204563958773/500000000000000000000000000 7901733765290454433362459/500000000000000000000000000 -17928474618164096655493461/500000000000000000000000000 3165387598073771264932941/500000000000000000000000000


--- 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 :
18625943718713160598110599/125000000000000000000000000 1162132363098994610026543/250000000000000000000000000 3414630127606264840423907/125000000000000000000000000 -14978918298203914224487561/50000000000000000000000000 17485399741408811380248661/125000000000000000000000000 5062869920640627269410221/125000000000000000000000000
1162132363098994610026543/250000000000000000000000000 72509165160054563929751/500000000000000000000000000 213049724579445408665899/250000000000000000000000000 -934582750890065696884577/100000000000000000000000000 1090970166563881072627277/250000000000000000000000000 315888691268063677492197/250000000000000000000000000
3414630127606264840423907/125000000000000000000000000 213049724579445408665899/250000000000000000000000000 625992383765343417035951/125000000000000000000000000 -2746033514995155968292973/50000000000000000000000000 3205538127459687858055273/125000000000000000000000000 928158509670693667288353/125000000000000000000000000
-14978918298203914224487561/50000000000000000000000000 -934582750890065696884577/100000000000000000000000000 -2746033514995155968292973/50000000000000000000000000 12045993307649128054168679/20000000000000000000000000 -14061696851089464173231579/50000000000000000000000000 -4071542147929861335580419/50000000000000000000000000
17485399741408811380248661/125000000000000000000000000 1090970166563881072627277/250000000000000000000000000 3205538127459687858055273/125000000000000000000000000 -14061696851089464173231579/50000000000000000000000000 16414696014016647393084479/125000000000000000000000000 4752849344874549382517319/125000000000000000000000000
5062869920640627269410221/125000000000000000000000000 315888691268063677492197/250000000000000000000000000 928158509670693667288353/125000000000000000000000000 -4071542147929861335580419/50000000000000000000000000 4752849344874549382517319/125000000000000000000000000 1376180032562589218156559/125000000000000000000000000


--- 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 :
854321124661014158976367339/1000000000000000000000000000 44579022755753171715367867/1000000000000000000000000000 3752280745255113929364267/15625000000000000000000000 807240939436694194524209947/1000000000000000000000000000 232690974668572452425946161/1000000000000000000000000000 4053911960024395592049449/6250000000000000000000000 -409194447914708787521656667/1000000000000000000000000000 -1364586129962417363516777427/1000000000000000000000000000 -167153688240088484706190523/500000000000000000000000000 -14022813834239124945418957/100000000000000000000000000 207988690104892717238602861/500000000000000000000000000 114617119263003568627432971/500000000000000000000000000
44579022755753171715367867/1000000000000000000000000000 62621208437211354988660979/125000000000000000000000000 11381502040119314353630737/100000000000000000000000000 -1418838685761465574640527/12500000000000000000000000 529029184252864993535948183/1000000000000000000000000000 1210765569967623869276030597/1000000000000000000000000000 -1531556076318524982996044879/1000000000000000000000000000 -115022195528384167612609251/200000000000000000000000000 -968186803841179225885023793/1000000000000000000000000000 24609385143584348587674001/31250000000000000000000000 158971319262750143166058141/500000000000000000000000000 202004097664613543485892769/1000000000000000000000000000
3752280745255113929364267/15625000000000000000000000 11381502040119314353630737/100000000000000000000000000 11775422712290159197240189/125000000000000000000000000 32870122003010912621346789/500000000000000000000000000 11579774654089703510153887/62500000000000000000000000 251934259974022837637128761/500000000000000000000000000 -111026409223851739499707463/250000000000000000000000000 -35708529909252307206136753/62500000000000000000000000 -147721867813213237023336371/500000000000000000000000000 31442026624695388949397103/250000000000000000000000000 12568992153622201671789551/50000000000000000000000000 87662110921733966914428291/500000000000000000000000000
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114617119263003568627432971/500000000000000000000000000 202004097664613543485892769/1000000000000000000000000000 87662110921733966914428291/500000000000000000000000000 -1371346866319298079305109687/1000000000000000000000000000 108743795545227124893047727/250000000000000000000000000 1595828903063173426410012051/1000000000000000000000000000 -94884464518575830507996421/100000000000000000000000000 -782925916793731273393293789/500000000000000000000000000 -550654042414967532150326553/1000000000000000000000000000 154727701876105371331638933/500000000000000000000000000 275227276377805500255552141/250000000000000000000000000 197363179973645035527916341/200000000000000000000000000


--- 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 :
170517375123053362811651489/250000000000000000000000000 -55704257223536817108666187/125000000000000000000000000 514482968386237031780178573/500000000000000000000000000 16651591124478354821917119/31250000000000000000000000
-55704257223536817108666187/125000000000000000000000000 42074041831887663056634929/62500000000000000000000000 -163559901321125506503814131/250000000000000000000000000 -5305738633909491777205533/15625000000000000000000000
514482968386237031780178573/500000000000000000000000000 -163559901321125506503814131/250000000000000000000000000 1553143808213308942052947759/1000000000000000000000000000 50266286584264915487196287/62500000000000000000000000
16651591124478354821917119/31250000000000000000000000 -5305738633909491777205533/15625000000000000000000000 50266286584264915487196287/62500000000000000000000000 1626835153932571150830841/3906250000000000000000000


--- 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 :
5022885759148461483964016299/1000000000000000000000000000 -177757699022433519207589687/100000000000000000000000000 -801188192314729137695664027/250000000000000000000000000 -234728821142161087359486141/500000000000000000000000000 497500288456572011737466669/1000000000000000000000000000 1523564060331631132495651447/1000000000000000000000000000 -350098641328639584750766679/125000000000000000000000000 1660081379039835310620811/10000000000000000000000000 522307334983706068638824947/1000000000000000000000000000 -2839647484010247744908783377/1000000000000000000000000000
-177757699022433519207589687/100000000000000000000000000 928186228998516154178419351/500000000000000000000000000 944256957623000286824107481/500000000000000000000000000 23626866523115821781823603/500000000000000000000000000 6992646066286759780079417/31250000000000000000000000 -206446295016709811922571891/125000000000000000000000000 159133414038392067204562049/100000000000000000000000000 -138191641393251034883091419/100000000000000000000000000 -218597907880617008507266879/250000000000000000000000000 869908677441459395086144369/500000000000000000000000000
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-2839647484010247744908783377/1000000000000000000000000000 869908677441459395086144369/500000000000000000000000000 18902633188305303170029973/5000000000000000000000000 -286242910379362951644553827/250000000000000000000000000 569305727815332497730614383/1000000000000000000000000000 -1398607535869599297336898817/1000000000000000000000000000 2174086183664752911506662399/500000000000000000000000000 -1306346797855579769888419801/500000000000000000000000000 -204306438084026722349705651/200000000000000000000000000 4936774605222578476762584341/1000000000000000000000000000


--- 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 :
34044306099719758288733/40000000000000000000000000 -5910761387223143489344961/200000000000000000000000000 -29852054498310945594609833/1000000000000000000000000000 747288580872208230999203/50000000000000000000000000 -15728026104393587073100807/1000000000000000000000000000 -28094284577655361262967/2000000000000000000000000
-5910761387223143489344961/200000000000000000000000000 1278971672175128587132041619/1000000000000000000000000000 645979456498112738029249727/500000000000000000000000000 -184621828671147761673264121/250000000000000000000000000 643670592506431593083523067/1000000000000000000000000000 12370932770960998585150927/50000000000000000000000000
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--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

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

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

Matrix :
5597764033650436606176973/2500000000000000000000000 8023348005693096233980077/10000000000000000000000000 -1728739233468617582278699/2000000000000000000000000 3090169278632726124982027/10000000000000000000000000 -4935922411529139923651519/2000000000000000000000000 -4578349674543053264701481/10000000000000000000000000 2507886298453699893816289/5000000000000000000000000 -16995146094630170941871/500000000000000000000000 -246597684363618870442577/200000000000000000000000
8023348005693096233980077/10000000000000000000000000 11499969065055333629855373/40000000000000000000000000 -2477824430939562801605451/8000000000000000000000000 4429179824288434110010923/40000000000000000000000000 -7074721799406103155329631/8000000000000000000000000 -6562208144142817286367369/40000000000000000000000000 3594586054403891272919361/20000000000000000000000000 -24359363971955688358479/2000000000000000000000000 -353451668765166611517873/800000000000000000000000
-1728739233468617582278699/2000000000000000000000000 -2477824430939562801605451/8000000000000000000000000 533880906620632432030237/1600000000000000000000000 -954326913017106940938301/8000000000000000000000000 1524344841060213738113897/1600000000000000000000000 1413916817383143421525103/8000000000000000000000000 -774502356861231626300407/4000000000000000000000000 5248555611794627911673/400000000000000000000000 76155959643746556242951/160000000000000000000000
3090169278632726124982027/10000000000000000000000000 4429179824288434110010923/40000000000000000000000000 -954326913017106940938301/8000000000000000000000000 1705885798901436540858973/40000000000000000000000000 -2724808638972830559625481/8000000000000000000000000 -2527415486980595951021519/40000000000000000000000000 1384444422308337441370711/20000000000000000000000000 -9381938579724829151129/2000000000000000000000000 -136130887944107861048423/800000000000000000000000
-4935922411529139923651519/2000000000000000000000000 -7074721799406103155329631/8000000000000000000000000 1524344841060213738113897/1600000000000000000000000 -2724808638972830559625481/8000000000000000000000000 4352332450274386867636357/1600000000000000000000000 4037036686531649654022643/8000000000000000000000000 -2211370845875403152824667/4000000000000000000000000 14985755382224007001813/400000000000000000000000 217441648051716532217131/160000000000000000000000
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-246597684363618870442577/200000000000000000000000 -353451668765166611517873/800000000000000000000000 76155959643746556242951/160000000000000000000000 -136130887944107861048423/800000000000000000000000 217441648051716532217131/160000000000000000000000 201689535529240621979869/800000000000000000000000 -110479639750486416431861/400000000000000000000000 748685304911677845979/40000000000000000000000 10863340713889124430373/16000000000000000000000


--- 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 :
32335575252222025893279/244140625000000000000000 20747585757283957/15625000000000000000000000 1912781313201258517991497/15625000000000000000000000 -1912781313201258517991497/15625000000000000000000000 -478195331305151900372619/3906250000000000000000000 -1332542377621242140109389/3906250000000000000000000 -1824301125035889/7812500000000000000000000
20747585757283957/15625000000000000000000000 301272792142122712160570787/200000000000000000000000000 -267481370519488964765792061/1000000000000000000000000000 267481370519488964765792061/1000000000000000000000000000 -66870342135582305505666811/250000000000000000000000000 106754852899670469/250000000000000000000000000 -241475810641774726428857363/500000000000000000000000000
1912781313201258517991497/15625000000000000000000000 -267481370519488964765792061/1000000000000000000000000000 160644839513852781487608207/1000000000000000000000000000 -160644839513852781487608207/1000000000000000000000000000 -3282640619750769265519913/50000000000000000000000000 -15765064605181016317555599/50000000000000000000000000 42878270189829749918578201/500000000000000000000000000
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-1332542377621242140109389/3906250000000000000000000 106754852899670469/250000000000000000000000000 -15765064605181016317555599/50000000000000000000000000 15765064605181016317555599/50000000000000000000000000 4926582698729108230300307/15625000000000000000000000 54913796161225034288539833/62500000000000000000000000 -15798889186076773/25000000000000000000000000
-1824301125035889/7812500000000000000000000 -241475810641774726428857363/500000000000000000000000000 42878270189829749918578201/500000000000000000000000000 -42878270189829749918578201/500000000000000000000000000 428782696952302934346147/5000000000000000000000000 -15798889186076773/25000000000000000000000000 38709481005901629634286343/250000000000000000000000000


--- 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 :
468091882524303102122859283/250000000000000000000000000 -547595551929916238265962897/500000000000000000000000000 -427211093720620683401319469/250000000000000000000000000 1821290907185921648856977/10000000000000000000000000 -38097599285643010362240831/20000000000000000000000000 509153060958003036904778943/500000000000000000000000000 256272402055485593150187571/250000000000000000000000000 334932357588520858608834021/250000000000000000000000000 297906715526515434481947673/250000000000000000000000000 629007856822644303020714507/500000000000000000000000000 -1736216096369850616350325081/500000000000000000000000000 258673425669074829922816899/500000000000000000000000000
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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 :
1883835448199378240520980427/125000000000000000000000000 5914413409300282253713521/25000000000000000000000000 217451706313133223075204001/62500000000000000000000000 171618420685820356715751979/62500000000000000000000000
5914413409300282253713521/25000000000000000000000000 651421745240154166168959/100000000000000000000000000 479008680958215216586379/5000000000000000000000000 3558012515921841652203107/50000000000000000000000000
217451706313133223075204001/62500000000000000000000000 479008680958215216586379/5000000000000000000000000 22014282424355141914068429/15625000000000000000000000 65407660101687515709956699/62500000000000000000000000
171618420685820356715751979/62500000000000000000000000 3558012515921841652203107/50000000000000000000000000 65407660101687515709956699/62500000000000000000000000 97671528356445944707812227/125000000000000000000000000


--- 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 :
111273736780015737739/61035156250000000000000 1208266509336088913753/781250000000000000000000 34053051493202333109/12207031250000000000000 3233823109480484053757/488281250000000000000000 -45870822536166659678829/7812500000000000000000000 -7875044102998673649811/488281250000000000000000
1208266509336088913753/781250000000000000000000 13119968824893547890931/10000000000000000000000000 369765255041953072743/156250000000000000000000 35114486790598178963839/6250000000000000000000000 -498088589724644028111183/100000000000000000000000000 -85511211580941868210097/6250000000000000000000000
34053051493202333109/12207031250000000000000 369765255041953072743/156250000000000000000000 10421239993864845579/2441406250000000000000 989645428055975408067/97656250000000000000000 -14037827137482857698899/1562500000000000000000000 -2409996195965041120941/97656250000000000000000
3233823109480484053757/488281250000000000000000 35114486790598178963839/6250000000000000000000000 989645428055975408067/97656250000000000000000 93980953691564771647291/3906250000000000000000000 -1333091978941923974564427/62500000000000000000000000 -228863524721934105651893/3906250000000000000000000
-45870822536166659678829/7812500000000000000000000 -498088589724644028111183/100000000000000000000000000 -14037827137482857698899/1562500000000000000000000 -1333091978941923974564427/62500000000000000000000000 18909514689025773826377819/1000000000000000000000000000 3246361279546909688749221/62500000000000000000000000
-7875044102998673649811/488281250000000000000000 -85511211580941868210097/6250000000000000000000000 -2409996195965041120941/97656250000000000000000 -228863524721934105651893/3906250000000000000000000 3246361279546909688749221/62500000000000000000000000 557331149458728668610139/3906250000000000000000000


--- 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 :
305213601412681388761377037/500000000000000000000000000 -294812177789942396988870961/500000000000000000000000000 -10401422588395454740904183/1000000000000000000000000000 -6751389574077896501186439/50000000000000000000000000 8439236940732772376363513/62500000000000000000000000 -135027790637021405706142171/1000000000000000000000000000 -4187128089872576743955639/125000000000000000000000000 -162772616149068364169240549/1000000000000000000000000000 148272084023742266852986593/1000000000000000000000000000 7250265749702498986348957/1000000000000000000000000000
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--- Term 18 ---

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

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

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

Matrix :
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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20113455253318631/250000000000000000000000000 -20113455253318631/250000000000000000000000000 24845350613168436238269929/1000000000000000000000000000 108029693305176165609932707/1000000000000000000000000000 -108029693305176165609932707/1000000000000000000000000000 -108029695675016660674847399/1000000000000000000000000000 0/1 1399804124418356813/1000000000000000000000000000 -1399804124418356813/1000000000000000000000000000 -65927289264530909239188907/500000000000000000000000000
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-108029696620216497264329167/1000000000000000000000000000 108029696620216497264329167/1000000000000000000000000000 -108029693305176165609932707/1000000000000000000000000000 -3834946629342945474587701221/1000000000000000000000000000 3834946629342945474587701221/1000000000000000000000000000 1677871792734293733/1000000000000000000000000000 0/1 1167841067506887686636522637/500000000000000000000000000 -1167841067506887686636522637/500000000000000000000000000 2335682135142172526916620241/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-65927288940395615446768449/500000000000000000000000000 65927288940395615446768449/500000000000000000000000000 1399804124418356813/1000000000000000000000000000 -1167841067506887686636522637/500000000000000000000000000 1167841067506887686636522637/500000000000000000000000000 -29196026655128066064351397/12500000000000000000000000 0/1 1422553855042782638017305001/500000000000000000000000000 -1422553855042782638017305001/500000000000000000000000000 266207284972268083/125000000000000000000000000
65927288940395615446768449/500000000000000000000000000 -65927288940395615446768449/500000000000000000000000000 -1399804124418356813/1000000000000000000000000000 1167841067506887686636522637/500000000000000000000000000 -1167841067506887686636522637/500000000000000000000000000 29196026655128066064351397/12500000000000000000000000 0/1 -1422553855042782638017305001/500000000000000000000000000 1422553855042782638017305001/500000000000000000000000000 -266207284972268083/125000000000000000000000000
-3335221332203147287/1000000000000000000000000000 3335221332203147287/1000000000000000000000000000 -65927289264530909239188907/500000000000000000000000000 -2335682135142172526916620241/1000000000000000000000000000 2335682135142172526916620241/1000000000000000000000000000 2335682133941775551908580491/1000000000000000000000000000 0/1 266207284972268083/125000000000000000000000000 -266207284972268083/125000000000000000000000000 2845107709617684940835299847/1000000000000000000000000000

