#Density : 175420112261898522304068361/1000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 10, 12, 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 :
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 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 :
35086857856696973074960457/1000000000000000000000000000 -110469006787301173061534071/1000000000000000000000000000 242029830881853880807238311/1000000000000000000000000000 -250401916249398837216426413/1000000000000000000000000000 21499761060753226156704267/200000000000000000000000000 -27049910591548543860405223/500000000000000000000000000
-110469006787301173061534071/1000000000000000000000000000 72564407780165494077458077/200000000000000000000000000 -712814517323337189657759989/1000000000000000000000000000 712570493439218242355393923/1000000000000000000000000000 -335150978536394076149330013/1000000000000000000000000000 17220795069177794620209523/100000000000000000000000000
242029830881853880807238311/1000000000000000000000000000 -712814517323337189657759989/1000000000000000000000000000 1830743229105807209749309691/1000000000000000000000000000 -1975660924485708483380285131/1000000000000000000000000000 752351343700344226186921839/1000000000000000000000000000 -91757305652841929052578731/250000000000000000000000000
-250401916249398837216426413/1000000000000000000000000000 712570493439218242355393923/1000000000000000000000000000 -1975660924485708483380285131/1000000000000000000000000000 433941160106317887476350093/200000000000000000000000000 -783853181236868917253886891/1000000000000000000000000000 188305754019924470448411319/500000000000000000000000000
21499761060753226156704267/200000000000000000000000000 -335150978536394076149330013/1000000000000000000000000000 752351343700344226186921839/1000000000000000000000000000 -783853181236868917253886891/1000000000000000000000000000 330080404337044524004271787/1000000000000000000000000000 -5166798237053385211384749/31250000000000000000000000
-27049910591548543860405223/500000000000000000000000000 17220795069177794620209523/100000000000000000000000000 -91757305652841929052578731/250000000000000000000000000 188305754019924470448411319/500000000000000000000000000 -5166798237053385211384749/31250000000000000000000000 1673007425409501536879083/20000000000000000000000000


--- 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 :
935921377511916896291817817/1000000000000000000000000000 -940816123924763209351842433/1000000000000000000000000000 137906736211147884082668681/1000000000000000000000000000 815234412298437066616355849/1000000000000000000000000000 -152541472118610427313895619/250000000000000000000000000 1479916476380029179362209379/500000000000000000000000000 871166773270869424371421/12500000000000000000000000 -191426632946100301792489001/200000000000000000000000000 -44411938128925911798357599/250000000000000000000000000 -118892288942243536180199989/125000000000000000000000000 -35496200847063094007798683/31250000000000000000000000 153780380548058146545374079/200000000000000000000000000
-940816123924763209351842433/1000000000000000000000000000 956381207223675999998060327/1000000000000000000000000000 -77235864866682545807210791/500000000000000000000000000 -179648727189822224803074111/200000000000000000000000000 137983424620855536067846283/200000000000000000000000000 -153547930755734461427274961/50000000000000000000000000 -11537797189222399232255389/200000000000000000000000000 486012977997256820874362497/500000000000000000000000000 200646882517904776053903233/1000000000000000000000000000 1011724893152942779583120007/1000000000000000000000000000 560993259133501139472345253/500000000000000000000000000 -96071179896216408686396281/125000000000000000000000000
137906736211147884082668681/1000000000000000000000000000 -77235864866682545807210791/500000000000000000000000000 52543345334644856175004321/1000000000000000000000000000 237329679758121768086778997/1000000000000000000000000000 -203860176709192621608375027/1000000000000000000000000000 578488210688492622489668791/1000000000000000000000000000 -4485047204735829632356181/1000000000000000000000000000 -7787418025138778960801253/50000000000000000000000000 -13589908003535126687076847/200000000000000000000000000 -224527386763424738725059681/1000000000000000000000000000 -68925669435225517599438651/500000000000000000000000000 6639242052833253809056153/62500000000000000000000000
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-35496200847063094007798683/31250000000000000000000000 560993259133501139472345253/500000000000000000000000000 -68925669435225517599438651/500000000000000000000000000 -105336820496185753064507543/125000000000000000000000000 298942783971699537978228261/500000000000000000000000000 -426749145407243025366367823/125000000000000000000000000 -26906937595904649133799319/250000000000000000000000000 71450075053287090731229067/62500000000000000000000000 43620647402267304220473059/250000000000000000000000000 26268355521697559999263497/25000000000000000000000000 141550586750772954146585619/100000000000000000000000000 -58830449428426685217903799/62500000000000000000000000
153780380548058146545374079/200000000000000000000000000 -96071179896216408686396281/125000000000000000000000000 6639242052833253809056153/62500000000000000000000000 637544947559513973050576901/1000000000000000000000000000 -234982861079699768319998049/500000000000000000000000000 598129421737425696815111453/250000000000000000000000000 7445766282367527612321261/1000000000000000000000000000 -782284500572273528234898671/1000000000000000000000000000 -26831830271526534600863049/200000000000000000000000000 -53894775027133595671606249/62500000000000000000000000 -58830449428426685217903799/62500000000000000000000000 235320234915841166351954837/250000000000000000000000000


--- 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 :
45517319521387767291548651/25000000000000000000000000 360358671927991970228709/40000000000000000000000000 46549663991186730832809349/40000000000000000000000000 169069932423426513541006183/100000000000000000000000000
360358671927991970228709/40000000000000000000000000 5767705542060871431962866343/1000000000000000000000000000 -647801325353729801198511963/1000000000000000000000000000 404956551375829260909042141/100000000000000000000000000
46549663991186730832809349/40000000000000000000000000 -647801325353729801198511963/1000000000000000000000000000 424147791568947752461594459/500000000000000000000000000 128439508823364870252249433/200000000000000000000000000
169069932423426513541006183/100000000000000000000000000 404956551375829260909042141/100000000000000000000000000 128439508823364870252249433/200000000000000000000000000 1118578634523779540496042037/200000000000000000000000000


--- 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 :
1715009385289299712968024493/500000000000000000000000000 221350600799144750405354549/125000000000000000000000000 -2789396983660362097388229359/1000000000000000000000000000 2478562839866632540603281903/1000000000000000000000000000 -122322856508396462857927001/500000000000000000000000000 -189003590312214747589744409/1000000000000000000000000000 -1221722798826101019721242727/500000000000000000000000000 1249730199656357280343306163/500000000000000000000000000 -115050001313093090217121137/500000000000000000000000000 -932581550435864019507611293/500000000000000000000000000
221350600799144750405354549/125000000000000000000000000 3058234126153540284244970871/500000000000000000000000000 -300599251084901816192929759/250000000000000000000000000 1074205396617171612572574283/500000000000000000000000000 -315154512063406720394102147/500000000000000000000000000 -345998813583404770321513263/62500000000000000000000000 -337399653812314423821215227/500000000000000000000000000 126486051638869803081122873/100000000000000000000000000 -511579152023777205190933/781250000000000000000000 -150796541137161845026355853/500000000000000000000000000
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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 :
1549574625216322606429911573/250000000000000000000000000 7812995773525954170140183/500000000000000000000000000 -14854446586657150857696313/250000000000000000000000000 2986980780662564391653835079/500000000000000000000000000 108223475174986873131530027/500000000000000000000000000 -498416630901898122770576461/500000000000000000000000000
7812995773525954170140183/500000000000000000000000000 58088006781404451436308291/125000000000000000000000000 182387397888135907737444577/500000000000000000000000000 3765108878961738475785071/250000000000000000000000000 272832798942655020837031/500000000000000000000000000 11521771995002382397593917/500000000000000000000000000
-14854446586657150857696313/250000000000000000000000000 182387397888135907737444577/500000000000000000000000000 980987599448887899776377711/500000000000000000000000000 -28633629529584767414290049/500000000000000000000000000 -259361539545267982390233/125000000000000000000000000 240222523106953618588211173/250000000000000000000000000
2986980780662564391653835079/500000000000000000000000000 3765108878961738475785071/250000000000000000000000000 -28633629529584767414290049/500000000000000000000000000 2878872059098803451725373471/500000000000000000000000000 52153254690633282035496849/250000000000000000000000000 -480377283278297836992001489/500000000000000000000000000
108223475174986873131530027/500000000000000000000000000 272832798942655020837031/500000000000000000000000000 -259361539545267982390233/125000000000000000000000000 52153254690633282035496849/250000000000000000000000000 236200317258759552308939/31250000000000000000000000 -17404900136331141991786737/500000000000000000000000000
-498416630901898122770576461/500000000000000000000000000 11521771995002382397593917/500000000000000000000000000 240222523106953618588211173/250000000000000000000000000 -480377283278297836992001489/500000000000000000000000000 -17404900136331141991786737/500000000000000000000000000 1510870744828972423148197261/500000000000000000000000000


--- 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 :
18840913396377219887103211/500000000000000000000000000 -241915696828017143945851/200000000000000000000000000 8569601583928917474166671/200000000000000000000000000 16513584195026465010921367/1000000000000000000000000000 3633969734320346197590737/200000000000000000000000000 1711045542875135413439349/100000000000000000000000000 -3982481464887381979721937/250000000000000000000000000 -12750853046953646138881913/200000000000000000000000000 -20350325192491270738640417/1000000000000000000000000000
-241915696828017143945851/200000000000000000000000000 119691711355358470874169/1000000000000000000000000000 -4239949275199913999197893/1000000000000000000000000000 -817036341909595866841407/500000000000000000000000000 -1797965425838287644416853/1000000000000000000000000000 -338627005684383978197683/200000000000000000000000000 24629965660907156525863/15625000000000000000000000 6308691204961352298470339/1000000000000000000000000000 -1138063043805990243199857/500000000000000000000000000
8569601583928917474166671/200000000000000000000000000 -4239949275199913999197893/1000000000000000000000000000 150195612149741876257830537/1000000000000000000000000000 28942627743090515657033583/500000000000000000000000000 63690978412735899155952177/1000000000000000000000000000 59977475092319478640980003/1000000000000000000000000000 -1744979729500489938504543/31250000000000000000000000 -223478555023087277548266687/1000000000000000000000000000 40314651509118062316390369/500000000000000000000000000
16513584195026465010921367/1000000000000000000000000000 -817036341909595866841407/500000000000000000000000000 28942627743090515657033583/500000000000000000000000000 4461785207626266394841349/200000000000000000000000000 767076453003839125464363/31250000000000000000000000 23115265615573702745553019/1000000000000000000000000000 -5380109099839186956647729/250000000000000000000000000 -43064218281879428724638033/500000000000000000000000000 31074461737052030840986797/1000000000000000000000000000
3633969734320346197590737/200000000000000000000000000 -1797965425838287644416853/1000000000000000000000000000 63690978412735899155952177/1000000000000000000000000000 767076453003839125464363/31250000000000000000000000 27008383754428886212075317/1000000000000000000000000000 25433659590180577906434613/1000000000000000000000000000 -2959859204714281960969777/125000000000000000000000000 -94766868485440805950613527/1000000000000000000000000000 8547785034784037391826467/250000000000000000000000000
1711045542875135413439349/100000000000000000000000000 -338627005684383978197683/200000000000000000000000000 59977475092319478640980003/1000000000000000000000000000 23115265615573702745553019/1000000000000000000000000000 25433659590180577906434613/1000000000000000000000000000 11975374869351620104200047/500000000000000000000000000 -5574569150974914563519189/250000000000000000000000000 -89241484992261810525833477/1000000000000000000000000000 1287905005244008330627339/40000000000000000000000000
-3982481464887381979721937/250000000000000000000000000 24629965660907156525863/15625000000000000000000000 -1744979729500489938504543/31250000000000000000000000 -5380109099839186956647729/250000000000000000000000000 -2959859204714281960969777/125000000000000000000000000 -5574569150974914563519189/250000000000000000000000000 1297488452680217047046557/62500000000000000000000000 519276885538519885423063/6250000000000000000000000 -7494040498376446638353021/250000000000000000000000000
-12750853046953646138881913/200000000000000000000000000 6308691204961352298470339/1000000000000000000000000000 -223478555023087277548266687/1000000000000000000000000000 -43064218281879428724638033/500000000000000000000000000 -94766868485440805950613527/1000000000000000000000000000 -89241484992261810525833477/1000000000000000000000000000 519276885538519885423063/6250000000000000000000000 66503493464796106569555237/200000000000000000000000000 -59984842001727132078565487/500000000000000000000000000
-20350325192491270738640417/1000000000000000000000000000 -1138063043805990243199857/500000000000000000000000000 40314651509118062316390369/500000000000000000000000000 31074461737052030840986797/1000000000000000000000000000 8547785034784037391826467/250000000000000000000000000 1287905005244008330627339/40000000000000000000000000 -7494040498376446638353021/250000000000000000000000000 -59984842001727132078565487/500000000000000000000000000 298792170875594801604015681/1000000000000000000000000000


--- 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 :
17726871146973806238701741/1000000000000000000000000000 2025321940114891307/250000000000000000000000000 -880682316949313801973767/250000000000000000000000000 880682316949313801973767/250000000000000000000000000 220169349671109992759727/62500000000000000000000000 875864071501704859865747/250000000000000000000000000 5598144891305078029/500000000000000000000000000
2025321940114891307/250000000000000000000000000 11352735941623347493286551/50000000000000000000000000 -30923266752601738478457293/100000000000000000000000000 30923266752601738478457293/100000000000000000000000000 -38654083103158034668254183/125000000000000000000000000 597117428815623391/500000000000000000000000000 84696176602656399992787577/500000000000000000000000000
-880682316949313801973767/250000000000000000000000000 -30923266752601738478457293/100000000000000000000000000 445176295155162146658802623/1000000000000000000000000000 -445176295155162146658802623/1000000000000000000000000000 110944052041327303095106421/250000000000000000000000000 -696215250655401459683593/1000000000000000000000000000 -130214778513786910227169571/1000000000000000000000000000
880682316949313801973767/250000000000000000000000000 30923266752601738478457293/100000000000000000000000000 -445176295155162146658802623/1000000000000000000000000000 445176295155162146658802623/1000000000000000000000000000 -110944052041327303095106421/250000000000000000000000000 696215250655401459683593/1000000000000000000000000000 130214778513786910227169571/1000000000000000000000000000
220169349671109992759727/62500000000000000000000000 -38654083103158034668254183/125000000000000000000000000 110944052041327303095106421/250000000000000000000000000 -110944052041327303095106421/250000000000000000000000000 55647036086570560301568683/125000000000000000000000000 43513280380155920052551/62500000000000000000000000 -32553693643743959907409971/250000000000000000000000000
875864071501704859865747/250000000000000000000000000 597117428815623391/500000000000000000000000000 -696215250655401459683593/1000000000000000000000000000 696215250655401459683593/1000000000000000000000000000 43513280380155920052551/62500000000000000000000000 138481358003846799426693/200000000000000000000000000 1942144998104790953/1000000000000000000000000000
5598144891305078029/500000000000000000000000000 84696176602656399992787577/500000000000000000000000000 -130214778513786910227169571/1000000000000000000000000000 130214778513786910227169571/1000000000000000000000000000 -32553693643743959907409971/250000000000000000000000000 1942144998104790953/1000000000000000000000000000 559311610241875727049637427/1000000000000000000000000000


--- 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 :
1856094172799534845857531203/1000000000000000000000000000 -134897187340294809292177367/1000000000000000000000000000 475087953462440128043048819/1000000000000000000000000000 -90438710269983288085789153/500000000000000000000000000 487892991928780950038258729/1000000000000000000000000000 -184374717528925608146618377/1000000000000000000000000000 25658945140672631344611237/62500000000000000000000000 -20516498030587014116159353/62500000000000000000000000 6380822121004847662543567/250000000000000000000000000 -178809467141144129681604923/250000000000000000000000000 250028953832703297368366779/1000000000000000000000000000 -47600854542270702459546521/50000000000000000000000000
-134897187340294809292177367/1000000000000000000000000000 46988102636497011227274359/250000000000000000000000000 -233656596093338747953819797/1000000000000000000000000000 62993409995355585588503497/250000000000000000000000000 -135956567078178686868405551/200000000000000000000000000 128399727228130222185583217/500000000000000000000000000 -571936708441277864168369151/1000000000000000000000000000 457402413675457060830932739/1000000000000000000000000000 -1457794723730366373388553/31250000000000000000000000 312763582903466089603732173/1000000000000000000000000000 -174163524672114771044025757/500000000000000000000000000 8024864197074429419341543/31250000000000000000000000
475087953462440128043048819/1000000000000000000000000000 -233656596093338747953819797/1000000000000000000000000000 826196807769695230548775049/1000000000000000000000000000 -156626299911372364958528901/500000000000000000000000000 169016948986493416283439583/200000000000000000000000000 -63851863525715293195337367/200000000000000000000000000 355512772844339591587694721/500000000000000000000000000 -568623440207466126232623/1000000000000000000000000 6265215928044948445409133/500000000000000000000000000 -1330588197395631769161361/2500000000000000000000000 433035454424692638508694217/1000000000000000000000000000 -244046174929404453705081859/500000000000000000000000000
-90438710269983288085789153/500000000000000000000000000 62993409995355585588503497/250000000000000000000000000 -156626299911372364958528901/500000000000000000000000000 16890104049203865230503107/50000000000000000000000000 -455666822599291780300871663/500000000000000000000000000 43033960988561358012771679/125000000000000000000000000 -383376233707982120000422239/500000000000000000000000000 306602481593337822049493861/500000000000000000000000000 -15634913491389506332378259/250000000000000000000000000 209652592143254034147411749/500000000000000000000000000 -58371979919152652830372287/125000000000000000000000000 21518007003289812940569091/62500000000000000000000000
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25658945140672631344611237/62500000000000000000000000 -571936708441277864168369151/1000000000000000000000000000 355512772844339591587694721/500000000000000000000000000 -383376233707982120000422239/500000000000000000000000000 206857020983551437820805583/100000000000000000000000000 -781437358880434208358486719/1000000000000000000000000000 1740395869287755558688059761/1000000000000000000000000000 -1391869516040147224754937069/1000000000000000000000000000 17744259245761324368258517/125000000000000000000000000 -951746732970859228212998283/1000000000000000000000000000 1059954622200610737353375689/1000000000000000000000000000 -195365627466748119457552099/250000000000000000000000000
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6380822121004847662543567/250000000000000000000000000 -1457794723730366373388553/31250000000000000000000000 6265215928044948445409133/500000000000000000000000000 -15634913491389506332378259/250000000000000000000000000 4218020051677037415893033/25000000000000000000000000 -31868856010742418310541199/500000000000000000000000000 17744259245761324368258517/125000000000000000000000000 -56763103272137931148189551/500000000000000000000000000 22045313216660936054607867/250000000000000000000000000 -21005948025683469652816131/250000000000000000000000000 8645435831916031882737363/100000000000000000000000000 -35285123257818880819903557/500000000000000000000000000
-178809467141144129681604923/250000000000000000000000000 312763582903466089603732173/1000000000000000000000000000 -1330588197395631769161361/2500000000000000000000000 209652592143254034147411749/500000000000000000000000000 -113119745056004261521484253/100000000000000000000000000 427342819185919469355916563/1000000000000000000000000000 -951746732970859228212998283/1000000000000000000000000000 761138948176256550042262237/1000000000000000000000000000 -21005948025683469652816131/250000000000000000000000000 747342453609104891431826049/1000000000000000000000000000 -579642090008675680896573377/1000000000000000000000000000 295673151837912200066412461/500000000000000000000000000
250028953832703297368366779/1000000000000000000000000000 -174163524672114771044025757/500000000000000000000000000 433035454424692638508694217/1000000000000000000000000000 -58371979919152652830372287/125000000000000000000000000 251964578220084429040496173/200000000000000000000000000 -237959694927890339382695481/500000000000000000000000000 1059954622200610737353375689/1000000000000000000000000000 -847691352017464530797404901/1000000000000000000000000000 8645435831916031882737363/100000000000000000000000000 -579642090008675680896573377/1000000000000000000000000000 322772485553897743395563723/500000000000000000000000000 -59491452544685461031397651/125000000000000000000000000
-47600854542270702459546521/50000000000000000000000000 8024864197074429419341543/31250000000000000000000000 -244046174929404453705081859/500000000000000000000000000 21518007003289812940569091/62500000000000000000000000 -464386671415935673357312107/500000000000000000000000000 43863123753924613299566487/125000000000000000000000000 -195365627466748119457552099/250000000000000000000000000 312461975742078461468477529/500000000000000000000000000 -35285123257818880819903557/500000000000000000000000000 295673151837912200066412461/500000000000000000000000000 -59491452544685461031397651/125000000000000000000000000 442572316536497612484478891/500000000000000000000000000


--- 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 :
70511392712625148947900819/40000000000000000000000000 26528791390556068667876451/500000000000000000000000000 5122702561082066364516829/250000000000000000000000000 1577244916024250865449221/1000000000000000000000000000
26528791390556068667876451/500000000000000000000000000 97021905755273254195923939/250000000000000000000000000 551247565335099404968219657/1000000000000000000000000000 330972738207691091996671177/1000000000000000000000000000
5122702561082066364516829/250000000000000000000000000 551247565335099404968219657/1000000000000000000000000000 313437057033208803682342949/250000000000000000000000000 589830958331911490739359767/1000000000000000000000000000
1577244916024250865449221/1000000000000000000000000000 330972738207691091996671177/1000000000000000000000000000 589830958331911490739359767/1000000000000000000000000000 597234667044935088578215521/1000000000000000000000000000


--- 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 :
22221896369498135986185943/25000000000000000000000000 30026819175953505675048221/125000000000000000000000000 -4569064229959844617426329/100000000000000000000000000 -184691906763719357153885913/1000000000000000000000000000 -310755174186422594818605139/1000000000000000000000000000 -394875550062408479303114979/1000000000000000000000000000
30026819175953505675048221/125000000000000000000000000 65449456763846119101907/625000000000000000000000 -3086920742896448059374867/250000000000000000000000000 -29431236649422180466702867/500000000000000000000000000 -41990068135154479449680297/500000000000000000000000000 -53356637721488388998854857/500000000000000000000000000
-4569064229959844617426329/100000000000000000000000000 -3086920742896448059374867/250000000000000000000000000 1174311790855612287554217/500000000000000000000000000 474683377983662252399117/50000000000000000000000000 798683158629426394222413/50000000000000000000000000 2537209979005685739699939/125000000000000000000000000
-184691906763719357153885913/1000000000000000000000000000 -29431236649422180466702867/500000000000000000000000000 474683377983662252399117/50000000000000000000000000 77754728483911532488377319/1000000000000000000000000000 64569158174366416362687919/1000000000000000000000000000 16409562231620806138511511/200000000000000000000000000
-310755174186422594818605139/1000000000000000000000000000 -41990068135154479449680297/500000000000000000000000000 798683158629426394222413/50000000000000000000000000 64569158174366416362687919/1000000000000000000000000000 108641468619420505350782323/1000000000000000000000000000 138050347167979438496960871/1000000000000000000000000000
-394875550062408479303114979/1000000000000000000000000000 -53356637721488388998854857/500000000000000000000000000 2537209979005685739699939/125000000000000000000000000 16409562231620806138511511/200000000000000000000000000 138050347167979438496960871/1000000000000000000000000000 7016804391686178437814411/40000000000000000000000000


--- 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 :
43907085375861095002804059/200000000000000000000000000 -9734306938137991883884609/100000000000000000000000000 -488769942892124738122551/8000000000000000000000000 0/1 0/1 0/1 -1973731728062338302644499/1000000000000000000000000000 0/1 0/1 0/1
-9734306938137991883884609/100000000000000000000000000 43907085425454803345722521/200000000000000000000000000 -12219248736549380331196279/200000000000000000000000000 0/1 0/1 0/1 -986865830917030056230979/500000000000000000000000000 0/1 0/1 0/1
-488769942892124738122551/8000000000000000000000000 -12219248736549380331196279/200000000000000000000000000 4390705929735152651960727/20000000000000000000000000 0/1 0/1 0/1 1973715562696300815404949/1000000000000000000000000000 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
-1973731728062338302644499/1000000000000000000000000000 -986865830917030056230979/500000000000000000000000000 1973715562696300815404949/1000000000000000000000000000 0/1 0/1 0/1 50226270608251607748123093/1000000000000000000000000000 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 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 :
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1809349194674522785458333/1000000000000000000000000000 23328359298726405458591/1000000000000000000000000000 -60635476329061813746339/125000000000000000000000000 -294753531855905762868437/500000000000000000000000000 -12980789116935411568449/12500000000000000000000000 -442389384914934462624483/250000000000000000000000000
-4702891627345375989958201/125000000000000000000000000 -60635476329061813746339/125000000000000000000000000 3310797223935311364084467/100000000000000000000000000 9466022478660922997371/800000000000000000000000 488341365464861709774793/25000000000000000000000000 1839785789195665515828447/50000000000000000000000000
-11430552469354279763414873/250000000000000000000000000 -294753531855905762868437/500000000000000000000000000 9466022478660922997371/800000000000000000000000 24204886012143538797406813/1000000000000000000000000000 24679757217693748985947987/1000000000000000000000000000 5589584466005621295567639/125000000000000000000000000
-10067909173403738939712259/125000000000000000000000000 -12980789116935411568449/12500000000000000000000000 488341365464861709774793/25000000000000000000000000 24679757217693748985947987/1000000000000000000000000000 53949349782670541317846221/1000000000000000000000000000 2461623305972181145103229/31250000000000000000000000
-17155875967927461624673059/125000000000000000000000000 -442389384914934462624483/250000000000000000000000000 1839785789195665515828447/50000000000000000000000000 5589584466005621295567639/125000000000000000000000000 2461623305972181145103229/31250000000000000000000000 2097322462537033095149007/15625000000000000000000000


--- 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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