#Density : 13457962102237832000582241607/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 8, 9, 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 :
179891237071434564849259/244140625000000000000000 -3235359901078212232632833/6250000000000000000000000 9442354618101460027205567/62500000000000000000000000 -1833312362153693743994263/7812500000000000000000000 17643034100849379700876149/62500000000000000000000000 -4316594421895536284826907/62500000000000000000000000
-3235359901078212232632833/6250000000000000000000000 115483492063232140522725547/250000000000000000000000000 -21585604740924066122734363/100000000000000000000000000 9866298218270298327727769/125000000000000000000000000 -39778656694704744256198269/500000000000000000000000000 -32952415117054553492985689/500000000000000000000000000
9442354618101460027205567/62500000000000000000000000 -21585604740924066122734363/100000000000000000000000000 153490611914373824533105831/1000000000000000000000000000 11959711327406808279596417/250000000000000000000000000 -74734661397039997145812803/1000000000000000000000000000 113611239642101778353783089/1000000000000000000000000000
-1833312362153693743994263/7812500000000000000000000 9866298218270298327727769/125000000000000000000000000 11959711327406808279596417/250000000000000000000000000 585491244174261484552597/3906250000000000000000000 -48441418766908379060801109/250000000000000000000000000 6103357518548659084781911/50000000000000000000000000
17643034100849379700876149/62500000000000000000000000 -39778656694704744256198269/500000000000000000000000000 -74734661397039997145812803/1000000000000000000000000000 -48441418766908379060801109/250000000000000000000000000 251693890778225876719209807/1000000000000000000000000000 -164765058620166478521782709/1000000000000000000000000000
-4316594421895536284826907/62500000000000000000000000 -32952415117054553492985689/500000000000000000000000000 113611239642101778353783089/1000000000000000000000000000 6103357518548659084781911/50000000000000000000000000 -164765058620166478521782709/1000000000000000000000000000 139729443214231489376075719/1000000000000000000000000000


--- 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 :
197184555049503219887321/2500000000000000000000000 -41015045394104398637443/781250000000000000000000 169491861981251093725081/1562500000000000000000000 -385778355784366594227329/2500000000000000000000000 1250476374735550201889913/12500000000000000000000000 -202920097479172973478637/12500000000000000000000000
-41015045394104398637443/781250000000000000000000 8531266296481077301169/244140625000000000000000 -35254872833965425859523/488281250000000000000000 80243185226076439048507/781250000000000000000000 -260103258397483238542179/3906250000000000000000000 42208057357204951037471/3906250000000000000000000
169491861981251093725081/1562500000000000000000000 -35254872833965425859523/488281250000000000000000 145688343950972365988441/976562500000000000000000 -331599459285959802293569/1562500000000000000000000 1074858875555867556155193/7812500000000000000000000 -174421902093333617501357/7812500000000000000000000
-385778355784366594227329/2500000000000000000000000 80243185226076439048507/781250000000000000000000 -331599459285959802293569/1562500000000000000000000 754749476977681163580521/2500000000000000000000000 -2446473151366077904821537/12500000000000000000000000 396999559836042867167413/12500000000000000000000000
1250476374735550201889913/12500000000000000000000000 -260103258397483238542179/3906250000000000000000000 1074858875555867556155193/7812500000000000000000000 -2446473151366077904821537/12500000000000000000000000 7930089470644388007256089/62500000000000000000000000 -1286849204761688865122061/62500000000000000000000000
-202920097479172973478637/12500000000000000000000000 42208057357204951037471/3906250000000000000000000 -174421902093333617501357/7812500000000000000000000 396999559836042867167413/12500000000000000000000000 -1286849204761688865122061/62500000000000000000000000 208822470657601337302289/62500000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

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

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

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

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {0, 1, 2}
F2 : {0, 1, 3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 7 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

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

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

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

Matrix :
19977159032697536760715189/31250000000000000000000000 17318181799263259310905327/200000000000000000000000000 153621640860251615995174979/1000000000000000000000000000 -304548820599728564584425531/500000000000000000000000000 -104783531528108745271219681/500000000000000000000000000 -1001641230937168602326428439/500000000000000000000000000 25445809768277611333988787/40000000000000000000000000 -472386742836979799252106553/1000000000000000000000000000 89060442031822480827139833/1000000000000000000000000000 42571537202661300712423443/125000000000000000000000000 261255241519138097488246227/1000000000000000000000000000 -978227826788360827168935319/1000000000000000000000000000
17318181799263259310905327/200000000000000000000000000 2864693279722129076732030017/1000000000000000000000000000 -307364221215245254093399827/500000000000000000000000000 512520923936472680734263143/200000000000000000000000000 -725897338197751496910707483/500000000000000000000000000 -1101608961902735936389134213/1000000000000000000000000000 -2388974324631837969987254877/1000000000000000000000000000 441661659556037295098251849/250000000000000000000000000 -1008412633744281000137720397/500000000000000000000000000 564395253543031154857336849/500000000000000000000000000 -468668069693956182775502749/500000000000000000000000000 -1371758149391149565847003301/1000000000000000000000000000
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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 :
593292427315327180998182899/1000000000000000000000000000 537830327973829405601236681/1000000000000000000000000000 474712749100604441037601241/1000000000000000000000000000 136174807207042078116503/40000000000000000000000000
537830327973829405601236681/1000000000000000000000000000 876080108920557698056584209/1000000000000000000000000000 1165350092772374256801696699/1000000000000000000000000000 -33554351121543756723800209/200000000000000000000000000
474712749100604441037601241/1000000000000000000000000000 1165350092772374256801696699/1000000000000000000000000000 1770330971157995350984297679/1000000000000000000000000000 -64100880515452857623517519/200000000000000000000000000
136174807207042078116503/40000000000000000000000000 -33554351121543756723800209/200000000000000000000000000 -64100880515452857623517519/200000000000000000000000000 424132783089599246467659789/200000000000000000000000000


--- 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 :
2528627286456463440170387073/500000000000000000000000000 -361534195411260124565930627/500000000000000000000000000 -679517811617299939734821289/200000000000000000000000000 16306718526947661726758107/100000000000000000000000000 760313814883347473563012687/1000000000000000000000000000 1268488388322524519298283923/1000000000000000000000000000 -33567417139503713332823987/15625000000000000000000000 73314393138323207924761599/1000000000000000000000000000 121572399975444697566198833/125000000000000000000000000 -3643518697077287395515630331/1000000000000000000000000000
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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 :
458903718320227781890298421/125000000000000000000000000 743611106507771101451622609/250000000000000000000000000 70442943238631676051204951/62500000000000000000000000 -373661486278495741887347367/250000000000000000000000000 -6061279625011904296687023/62500000000000000000000000 24564502961471197130309247/25000000000000000000000000
743611106507771101451622609/250000000000000000000000000 2409906285988522868005204863/1000000000000000000000000000 456585142762054732595783079/500000000000000000000000000 -242193575844593848476729063/200000000000000000000000000 -491087200742936096570547/6250000000000000000000000 398045090914833410784906327/500000000000000000000000000
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24564502961471197130309247/25000000000000000000000000 398045090914833410784906327/500000000000000000000000000 75414332809553630914753611/250000000000000000000000000 -200016001610838325978576083/500000000000000000000000000 -811130501643763875274623/31250000000000000000000000 65745251308146744436066599/250000000000000000000000000


--- 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 :
2554251037409169705417291/31250000000000000000000000 5664292408746202965928623/125000000000000000000000000 490819792524922174906449/125000000000000000000000000 -145696847627003260174353/12500000000000000000000000 -12114598303628001870049179/125000000000000000000000000 -8427685515440137845741063/125000000000000000000000000 52537343166436336842933/125000000000000000000000000 -3460858406801324954731917/62500000000000000000000000 -1173655782597820251270177/31250000000000000000000000
5664292408746202965928623/125000000000000000000000000 12561102265156969980503619/500000000000000000000000000 1088439148753860987537597/500000000000000000000000000 -323096491263041623293309/50000000000000000000000000 -26865263516092395375268287/500000000000000000000000000 -18689186923783503742410939/500000000000000000000000000 116506510016019466964049/500000000000000000000000000 -7674779696389699837373001/250000000000000000000000000 -2602692312730956657992781/125000000000000000000000000
490819792524922174906449/125000000000000000000000000 1088439148753860987537597/500000000000000000000000000 94314953857691955513411/500000000000000000000000000 -27996816082868635784067/50000000000000000000000000 -2327917083647623029442881/500000000000000000000000000 -1619447264803436583986757/500000000000000000000000000 10095471234071249856687/500000000000000000000000000 -665031659107142104097463/250000000000000000000000000 -225527357833488603495603/125000000000000000000000000
-145696847627003260174353/12500000000000000000000000 -323096491263041623293309/50000000000000000000000000 -27996816082868635784067/50000000000000000000000000 8310683287410064264899/5000000000000000000000000 691027920613620357606657/50000000000000000000000000 480722996450989366253829/50000000000000000000000000 -2996778769956770253039/50000000000000000000000000 197410572637301616779511/25000000000000000000000000 66946414122690414767091/12500000000000000000000000
-12114598303628001870049179/125000000000000000000000000 -26865263516092395375268287/500000000000000000000000000 -2327917083647623029442881/500000000000000000000000000 691027920613620357606657/50000000000000000000000000 57458523030348552872374251/500000000000000000000000000 39971805101984627202250647/500000000000000000000000000 -249180209415443940856677/500000000000000000000000000 16414560969175286050742973/250000000000000000000000000 5566550877209288254928913/125000000000000000000000000
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-1173655782597820251270177/31250000000000000000000000 -2602692312730956657992781/125000000000000000000000000 -225527357833488603495603/125000000000000000000000000 66946414122690414767091/12500000000000000000000000 5566550877209288254928913/125000000000000000000000000 3872447028207948661477461/125000000000000000000000000 -24140444970576533040351/125000000000000000000000000 1590233858146801598602599/62500000000000000000000000 539284461805483471350819/31250000000000000000000000


--- 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 :
318743224073652030795609191/1000000000000000000000000000 4710149601123671207/1000000000000000000000000000 -124179498496753017396342627/1000000000000000000000000000 124179499349462359991487073/1000000000000000000000000000 124179499511713457957126051/1000000000000000000000000000 -137736405054179813541939937/500000000000000000000000000 -3130343170830803/200000000000000000000000000
4710149601123671207/1000000000000000000000000000 613295292234437113127150601/100000000000000000000000000 650249006166623061071341461/1000000000000000000000000000 -130049801391881033627161217/200000000000000000000000000 162562251170127569274297089/250000000000000000000000000 -4572633976703306687/1000000000000000000000000000 151778135706031077435694353/500000000000000000000000000
-124179498496753017396342627/1000000000000000000000000000 650249006166623061071341461/1000000000000000000000000000 839988696758748941856429901/1000000000000000000000000000 605344390538900962416421759/1000000000000000000000000000 -702102828459419193825550939/1000000000000000000000000000 10732173306781930270876679/100000000000000000000000000 32184685795416659441678817/1000000000000000000000000000
124179499349462359991487073/1000000000000000000000000000 -130049801391881033627161217/200000000000000000000000000 605344390538900962416421759/1000000000000000000000000000 33599547821544233736412243/40000000000000000000000000 -743230259038957958436144501/1000000000000000000000000000 -26830433734456783118297207/250000000000000000000000000 -32184686521379630990843191/1000000000000000000000000000
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--- 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 :
33994447561449727727887799/250000000000000000000000000 153973585882169990038378597/1000000000000000000000000000 -661696192767365897332977/15625000000000000000000000 -56465117718710568492911719/1000000000000000000000000000 -637349417096197319846644467/1000000000000000000000000000 -29459394895084233505431951/200000000000000000000000000 336708242180285679968119533/1000000000000000000000000000 27290502892413073943557393/250000000000000000000000000 27972085389445784607499423/1000000000000000000000000000 7036674979014818879516707/125000000000000000000000000 -252901314281744606039472629/1000000000000000000000000000 8818805112044978072229829/100000000000000000000000000
153973585882169990038378597/1000000000000000000000000000 2428427462745610295401636241/1000000000000000000000000000 83008678009731904393483447/200000000000000000000000000 -621118382790617420060833293/1000000000000000000000000000 -1923067840801240702917528839/500000000000000000000000000 -457372440476601710881370179/200000000000000000000000000 281470790306404291736371973/250000000000000000000000000 650534454437817759712822959/1000000000000000000000000000 8228818364139785888390827/20000000000000000000000000 -47677661580499018150906517/500000000000000000000000000 274807710090316001287321373/500000000000000000000000000 -116619814210521734108681683/250000000000000000000000000
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8818805112044978072229829/100000000000000000000000000 -116619814210521734108681683/250000000000000000000000000 -294329186186449479180447413/500000000000000000000000000 11782477739998209674563877/62500000000000000000000000 -313774573736004697047956093/500000000000000000000000000 230190322947215261707076603/250000000000000000000000000 222872441557612071044140961/500000000000000000000000000 196990609641871198359047163/500000000000000000000000000 -84689635322893553145347663/500000000000000000000000000 82668853742608408326902803/250000000000000000000000000 -494030004984244456458147043/500000000000000000000000000 37064013737273651184889409/50000000000000000000000000


--- 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 :
1058477091434088508691863009/500000000000000000000000000 68947542757045605232788333/250000000000000000000000000 37839842888947476793002383/50000000000000000000000000 166404932802153110748291797/500000000000000000000000000
68947542757045605232788333/250000000000000000000000000 457042009689454294576291/1250000000000000000000000 106208913250138958351715509/125000000000000000000000000 140019342970370371196729463/250000000000000000000000000
37839842888947476793002383/50000000000000000000000000 106208913250138958351715509/125000000000000000000000000 7031610776480156113532069/3125000000000000000000000 54417641758692809088778867/50000000000000000000000000
166404932802153110748291797/500000000000000000000000000 140019342970370371196729463/250000000000000000000000000 54417641758692809088778867/50000000000000000000000000 511400115303608018677590421/500000000000000000000000000


--- 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 :
10732137163494956840053/125000000000000000000000000 -11235739580851215174639/250000000000000000000000000 -4569640403187113722103/250000000000000000000000000 -259952771458596681629833/50000000000000000000000000 37106765976896654863/31250000000000000000000000 12389081821717248480703/62500000000000000000000000
-11235739580851215174639/250000000000000000000000000 11762973395281835564157/500000000000000000000000000 4784069451049230048789/500000000000000000000000000 272150979710193051868779/100000000000000000000000000 -38847990186162408669/62500000000000000000000000 -12970435885608980900589/125000000000000000000000000
-4569640403187113722103/250000000000000000000000000 4784069451049230048789/500000000000000000000000000 1945708771359004796653/500000000000000000000000000 110685380673128551444883/100000000000000000000000000 -15799702748526615413/62500000000000000000000000 -5275151443598743765253/125000000000000000000000000
-259952771458596681629833/50000000000000000000000000 272150979710193051868779/100000000000000000000000000 110685380673128551444883/100000000000000000000000000 6296550478208687501522413/20000000000000000000000000 -898796438082290815243/12500000000000000000000000 -300087122100657814639483/25000000000000000000000000
37106765976896654863/31250000000000000000000000 -38847990186162408669/62500000000000000000000000 -15799702748526615413/62500000000000000000000000 -898796438082290815243/12500000000000000000000000 128298032375853373/7812500000000000000000000 42835714156804296013/15625000000000000000000000
12389081821717248480703/62500000000000000000000000 -12970435885608980900589/125000000000000000000000000 -5275151443598743765253/125000000000000000000000000 -300087122100657814639483/25000000000000000000000000 42835714156804296013/15625000000000000000000000 14301843709871152053853/31250000000000000000000000


--- 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 :
12262656113145422555014421/200000000000000000000000000 -5535040385451381309397/320000000000000000000000 -1114750765564344913505623/40000000000000000000000000 217480078442032556390069/100000000000000000000000000 -1911680249414119156905999/100000000000000000000000000 -2164439072903318788932987/20000000000000000000000000
-5535040385451381309397/320000000000000000000000 2498371624050977429/512000000000000000000 503169170706591266711/64000000000000000000000 -98164786331842652533/160000000000000000000000 862882175521008702543/160000000000000000000000 976970859317021968059/32000000000000000000000
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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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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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