#Density : 1708108219023791765161070303/6400000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 11, 12}
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 :
23983665342700372968580463/1000000000000000000000000000 121436541370951097493907/1000000000000000000000000000 -39241286071789519748814573/1000000000000000000000000000 -19917030005072613196640301/500000000000000000000000000 -15378072974119713039649411/1000000000000000000000000000 80006538237032067288170687/1000000000000000000000000000
121436541370951097493907/1000000000000000000000000000 614869886208910349863/1000000000000000000000000000 -39738096670503797109861/200000000000000000000000000 -20169188171664694330293/100000000000000000000000000 -77863825392122692511631/1000000000000000000000000000 405097267316773343046107/1000000000000000000000000000
-39241286071789519748814573/1000000000000000000000000000 -39738096670503797109861/200000000000000000000000000 64205304342136217014760199/1000000000000000000000000000 32587590797519633261003343/500000000000000000000000000 25161098288378702942621817/1000000000000000000000000000 -26180814397733355658225833/200000000000000000000000000
-19917030005072613196640301/500000000000000000000000000 -20169188171664694330293/100000000000000000000000000 32587590797519633261003343/500000000000000000000000000 19794125697677829545237951/250000000000000000000000000 7317169524534187025435619/500000000000000000000000000 -13288149243755911231044379/100000000000000000000000000
-15378072974119713039649411/1000000000000000000000000000 -77863825392122692511631/1000000000000000000000000000 25161098288378702942621817/1000000000000000000000000000 7317169524534187025435619/500000000000000000000000000 31277428481500588393093969/1000000000000000000000000000 -51299347542725568827908917/1000000000000000000000000000
80006538237032067288170687/1000000000000000000000000000 405097267316773343046107/1000000000000000000000000000 -26180814397733355658225833/200000000000000000000000000 -13288149243755911231044379/100000000000000000000000000 -51299347542725568827908917/1000000000000000000000000000 266891906187387059551913097/1000000000000000000000000000


--- 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 :
15420322189719763514020101/62500000000000000000000000 -12495218290527229680791079/125000000000000000000000000 -33018028344042888539121069/125000000000000000000000000 83224991890576792121610837/250000000000000000000000000 -6997217295515141833976919/50000000000000000000000000 -1138029935520333087888447/25000000000000000000000000
-12495218290527229680791079/125000000000000000000000000 632811356853544824093897/15625000000000000000000000 26754789336157759366811097/250000000000000000000000000 -67437919137214477549672179/500000000000000000000000000 28349523589073332465722723/500000000000000000000000000 2305388352608146258948239/125000000000000000000000000
-33018028344042888539121069/125000000000000000000000000 26754789336157759366811097/250000000000000000000000000 70698276100535342238936417/250000000000000000000000000 -178201538681711723697465669/500000000000000000000000000 74912286575558480198924103/500000000000000000000000000 12183761208010744360125033/250000000000000000000000000
83224991890576792121610837/250000000000000000000000000 -67437919137214477549672179/500000000000000000000000000 -178201538681711723697465669/500000000000000000000000000 89834689443832529933193489/200000000000000000000000000 -188823341533058587231671243/1000000000000000000000000000 -30710296120994391048652143/500000000000000000000000000
-6997217295515141833976919/50000000000000000000000000 28349523589073332465722723/500000000000000000000000000 74912286575558480198924103/500000000000000000000000000 -188823341533058587231671243/1000000000000000000000000000 79377475512958160697545409/1000000000000000000000000000 12909981144548406341690619/500000000000000000000000000
-1138029935520333087888447/25000000000000000000000000 2305388352608146258948239/125000000000000000000000000 12183761208010744360125033/250000000000000000000000000 -30710296120994391048652143/500000000000000000000000000 12909981144548406341690619/500000000000000000000000000 820833291223136406408213/31250000000000000000000000


--- 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 379261/40000000


--- 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 2230467/1000000000 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 :
8507371/1000000000


--- 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 :
320466468306289820063628469/125000000000000000000000000 -20816587511439852867371481/62500000000000000000000000 -74214422119654837636448783/50000000000000000000000000 374345113421737616273499929/100000000000000000000000000 -92179864422720700309155777/62500000000000000000000000 -993058427662132105066699/4000000000000000000000000 552330229307658187580608193/250000000000000000000000000 1426527442430852713096683383/500000000000000000000000000 -310517667626662224976772751/125000000000000000000000000 -59603545395069063334243129/100000000000000000000000000 -891104964079537224531443621/500000000000000000000000000 -639946403042573597860758567/250000000000000000000000000
-20816587511439852867371481/62500000000000000000000000 5445058842203149113941440133/1000000000000000000000000000 -170507711109950916715838353/200000000000000000000000000 721484743196522792505532471/1000000000000000000000000000 -35967275352268451932469233/31250000000000000000000000 -169456766784663298473668419/250000000000000000000000000 -58239268979731704690997571/15625000000000000000000000 -10610420936969516207366223543/1000000000000000000000000000 -240028708998971573249392349/1000000000000000000000000000 74466915344770715197173409/31250000000000000000000000 -638084484240564795243459249/500000000000000000000000000 51977217959145727619539753/500000000000000000000000000
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-639946403042573597860758567/250000000000000000000000000 51977217959145727619539753/500000000000000000000000000 1526242767852157509589530829/1000000000000000000000000000 -757760515477130211089335733/200000000000000000000000000 19117793699634079562504689/12500000000000000000000000 33783147533053940936313771/200000000000000000000000000 -1030165313852459053301251201/500000000000000000000000000 -1207663330327577938115219331/500000000000000000000000000 316974348779797440915350007/125000000000000000000000000 77013435329133129977585469/200000000000000000000000000 213065057032684810843616709/125000000000000000000000000 3250698768944045962632900103/1000000000000000000000000000


--- Term 9 ---

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

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

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

Matrix :
1769353766233564920051414047/1000000000000000000000000000 1133758281658420076826968027/500000000000000000000000000 32030428165373079688791747/1000000000000000000000000000 816587883286816228948084139/1000000000000000000000000000
1133758281658420076826968027/500000000000000000000000000 90810545194511155833810217/31250000000000000000000000 4104861771941772090405459/100000000000000000000000000 65406173421603063230015749/62500000000000000000000000
32030428165373079688791747/1000000000000000000000000000 4104861771941772090405459/100000000000000000000000000 34931558953237686079317003/1000000000000000000000000000 2400864336865608792253719/200000000000000000000000000
816587883286816228948084139/1000000000000000000000000000 65406173421603063230015749/62500000000000000000000000 2400864336865608792253719/200000000000000000000000000 823983666861743432494858247/250000000000000000000000000


--- 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 :
506865241034800712066978861/250000000000000000000000000 -21114110920831942627992001/15625000000000000000000000 -766940636465091824814988387/500000000000000000000000000 511598745421290602730390257/250000000000000000000000000 789658620965061816223220541/500000000000000000000000000 -597747223217040445564938281/500000000000000000000000000 -849982475976757109974956599/500000000000000000000000000 3979123724658983848607127/50000000000000000000000000 -220303886146093474792096653/500000000000000000000000000 -893642884244297940163012347/500000000000000000000000000
-21114110920831942627992001/15625000000000000000000000 115246422110743741258229461/125000000000000000000000000 1097268497448432575703548881/1000000000000000000000000000 -1418087460542840947754405983/1000000000000000000000000000 -1027082719984547063430070497/1000000000000000000000000000 33108518029882372108265947/40000000000000000000000000 1149299361722956803101970383/1000000000000000000000000000 -18507745440072342454940341/100000000000000000000000000 140714361486497025718507181/500000000000000000000000000 234871097452018895140785041/200000000000000000000000000
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-893642884244297940163012347/500000000000000000000000000 234871097452018895140785041/200000000000000000000000000 646449549484400597659434119/500000000000000000000000000 -441964665233440153789592409/250000000000000000000000000 -378447025400751964182478087/250000000000000000000000000 469156091070090076787102603/500000000000000000000000000 1378128425337677798615712651/1000000000000000000000000000 17144631302816951559468423/500000000000000000000000000 460127861955097935649900413/1000000000000000000000000000 2379735458907350560862708749/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 1039666289754175421517103829/1000000000000000000000000000 160041739600345036475257063/1000000000000000000000000000 -107399464538095293809501341/1000000000000000000000000000 -2979590257196990633267729/20000000000000000000000000 99222049324436734090906617/1000000000000000000000000000
0/1 160041739600345036475257063/1000000000000000000000000000 7943891754336655148445589/6250000000000000000000000 39128569328192459815470203/1000000000000000000000000000 36636498866498119879971207/500000000000000000000000000 107488521735923597941727057/1000000000000000000000000000
0/1 -107399464538095293809501341/1000000000000000000000000000 39128569328192459815470203/1000000000000000000000000000 68119468355311073763083279/20000000000000000000000000 13908272986707202039199437/31250000000000000000000000 -655132053800711501035874937/250000000000000000000000000
0/1 -2979590257196990633267729/20000000000000000000000000 36636498866498119879971207/500000000000000000000000000 13908272986707202039199437/31250000000000000000000000 77447771194620551587345089/100000000000000000000000000 514557291037460626203271/50000000000000000000000000
0/1 99222049324436734090906617/1000000000000000000000000000 107488521735923597941727057/1000000000000000000000000000 -655132053800711501035874937/250000000000000000000000000 514557291037460626203271/50000000000000000000000000 234069753906856312270673013/62500000000000000000000000


--- 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 :
133754731928508411319128963/250000000000000000000000000 -23554800702454483473993157/125000000000000000000000000 -43687167855988242434748189/31250000000000000000000000 1142278097644269482123403/8000000000000000000000000 543678826708748780696772443/500000000000000000000000000 262499787797299654645801869/1000000000000000000000000000 -19747567228012116436965191/200000000000000000000000000 60828328730985850512549987/500000000000000000000000000 -108333596052506712206825823/250000000000000000000000000
-23554800702454483473993157/125000000000000000000000000 72748950219144168023361851/500000000000000000000000000 9313834519198111504040867/125000000000000000000000000 -12224918290352729933834903/500000000000000000000000000 -304295239296120732834438213/500000000000000000000000000 -4957228757043846004357527/15625000000000000000000000 103169919160797422816214583/500000000000000000000000000 3894429979069654982633267/62500000000000000000000000 99015740730916547789350171/500000000000000000000000000
-43687167855988242434748189/31250000000000000000000000 9313834519198111504040867/125000000000000000000000000 5859683415446840513284040493/1000000000000000000000000000 -127388480214498620388166143/250000000000000000000000000 -206222185036549986829772329/125000000000000000000000000 125324640707605383884807331/250000000000000000000000000 -648022032736534214741562679/1000000000000000000000000000 -873228932678630796179157033/1000000000000000000000000000 223124051494178415730072821/250000000000000000000000000
1142278097644269482123403/8000000000000000000000000 -12224918290352729933834903/500000000000000000000000000 -127388480214498620388166143/250000000000000000000000000 51699350515046054763441477/1000000000000000000000000000 43303029876033142943600287/200000000000000000000000000 -93974278994475450447801/20000000000000000000000000 29675058181767196514461573/1000000000000000000000000000 16145585029896527831834799/250000000000000000000000000 -50746038208722209271253191/500000000000000000000000000
543678826708748780696772443/500000000000000000000000000 -304295239296120732834438213/500000000000000000000000000 -206222185036549986829772329/125000000000000000000000000 43303029876033142943600287/200000000000000000000000000 713298385663318215935838503/250000000000000000000000000 1174478324958711174530361699/1000000000000000000000000000 -689840581285221976254339003/1000000000000000000000000000 -13145763220763040861115309/250000000000000000000000000 -63135236918166644408198437/62500000000000000000000000
262499787797299654645801869/1000000000000000000000000000 -4957228757043846004357527/15625000000000000000000000 125324640707605383884807331/250000000000000000000000000 -93974278994475450447801/20000000000000000000000000 1174478324958711174530361699/1000000000000000000000000000 970555227682526956990965267/1000000000000000000000000000 -26793312992162012472168099/50000000000000000000000000 -64725696638608109813587383/250000000000000000000000000 -204529423198679118846631143/500000000000000000000000000
-19747567228012116436965191/200000000000000000000000000 103169919160797422816214583/500000000000000000000000000 -648022032736534214741562679/1000000000000000000000000000 29675058181767196514461573/1000000000000000000000000000 -689840581285221976254339003/1000000000000000000000000000 -26793312992162012472168099/50000000000000000000000000 195100516239310739422042871/500000000000000000000000000 205551841134031601968615567/1000000000000000000000000000 89211327154725155539683809/500000000000000000000000000
60828328730985850512549987/500000000000000000000000000 3894429979069654982633267/62500000000000000000000000 -873228932678630796179157033/1000000000000000000000000000 16145585029896527831834799/250000000000000000000000000 -13145763220763040861115309/250000000000000000000000000 -64725696638608109813587383/250000000000000000000000000 205551841134031601968615567/1000000000000000000000000000 297608411787840234343701051/1000000000000000000000000000 -52490541661827041645865309/500000000000000000000000000
-108333596052506712206825823/250000000000000000000000000 99015740730916547789350171/500000000000000000000000000 223124051494178415730072821/250000000000000000000000000 -50746038208722209271253191/500000000000000000000000000 -63135236918166644408198437/62500000000000000000000000 -204529423198679118846631143/500000000000000000000000000 89211327154725155539683809/500000000000000000000000000 -52490541661827041645865309/500000000000000000000000000 23326414199142388772766603/25000000000000000000000000


--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 7

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

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

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 453279832428509124098750697/100000000000000000000000000 -384057128954075804498418309/250000000000000000000000000 1517400480244840153528663253/1000000000000000000000000000 -1495545630925672201900487/1000000000000000000000000000 65231755796437551159133229/250000000000000000000000000
0/1 0/1 -384057128954075804498418309/250000000000000000000000000 181311933169037084363601231/40000000000000000000000000 -2256985145333159291243902803/500000000000000000000000000 1495547949113080284778923/1000000000000000000000000000 -65231756245669291516424427/250000000000000000000000000
0/1 0/1 1517400480244840153528663253/1000000000000000000000000000 -2256985145333159291243902803/500000000000000000000000000 906559663660553129815889559/200000000000000000000000000 1495550477883315709817133/1000000000000000000000000000 260927024694512079290108347/1000000000000000000000000000
0/1 0/1 -1495545630925672201900487/1000000000000000000000000000 1495547949113080284778923/1000000000000000000000000000 1495550477883315709817133/1000000000000000000000000000 52334966922773957640127587/125000000000000000000000000 420695929642557863/1000000000000000000000000000
0/1 0/1 65231755796437551159133229/250000000000000000000000000 -65231756245669291516424427/250000000000000000000000000 260927024694512079290108347/1000000000000000000000000000 420695929642557863/1000000000000000000000000000 231757290930686500711163461/500000000000000000000000000


--- Term 14 ---

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

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

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

Matrix :
2582865980680531968345289/10000000000000000000000000 -75212852522854080563712629/200000000000000000000000000 -275935108096865105799112027/1000000000000000000000000000 -11314945531221361891379043/500000000000000000000000000 574513574351936986224745677/1000000000000000000000000000 -54909324663034013427971393/1000000000000000000000000000 -55544207494106374975432747/250000000000000000000000000 -255960014978886577579516171/1000000000000000000000000000 4971925202505906793195049/250000000000000000000000000 75428230326411882085047859/500000000000000000000000000 125398826725703876123225263/250000000000000000000000000 425134039237349376322660473/1000000000000000000000000000
-75212852522854080563712629/200000000000000000000000000 943274621464271851673603039/500000000000000000000000000 2123902806946864632954747/2000000000000000000000000 52083500064279575865123649/500000000000000000000000000 -287686703040186019271692143/250000000000000000000000000 -1450254391276109841418619203/1000000000000000000000000000 494253116519380198405097991/1000000000000000000000000000 151677410589141806390934759/200000000000000000000000000 -93589234920641584895695797/1000000000000000000000000000 -330112616107316281902895129/1000000000000000000000000000 -1161083474798470275888956881/1000000000000000000000000000 -1876037293120181664619806853/1000000000000000000000000000
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425134039237349376322660473/1000000000000000000000000000 -1876037293120181664619806853/1000000000000000000000000000 -1050774830806896606089435453/1000000000000000000000000000 -10516630278716432014074689/100000000000000000000000000 1083443917482757302217535057/1000000000000000000000000000 80078256657666681501496677/62500000000000000000000000 -456323233674544400528002733/1000000000000000000000000000 -24882243850925566481520511/31250000000000000000000000 95739536079099935869521621/1000000000000000000000000000 306007196095989987209823343/1000000000000000000000000000 1084517313681907418457477067/1000000000000000000000000000 522434505878748992848125319/250000000000000000000000000


--- 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 :
271745893460350286265874727/62500000000000000000000000 -12163374392621226656104987/250000000000000000000000000 19307001541320729261330949/7812500000000000000000000 -217198863802455159198222439/250000000000000000000000000
-12163374392621226656104987/250000000000000000000000000 27056737648392524352056713/250000000000000000000000000 14011560801171381170205907/250000000000000000000000000 3134398745607034395079349/62500000000000000000000000
19307001541320729261330949/7812500000000000000000000 14011560801171381170205907/250000000000000000000000000 1036840764144931878548577723/125000000000000000000000000 -119164206383501859747955947/250000000000000000000000000
-217198863802455159198222439/250000000000000000000000000 3134398745607034395079349/62500000000000000000000000 -119164206383501859747955947/250000000000000000000000000 253516775684413367286371177/250000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 32971475022260133114154831/1000000000000000000000000000 185242193534288728076279/500000000000000000000000000 801796813025916720650741/1000000000000000000000000000 -5858919713954890733665167/250000000000000000000000000 0/1
0/1 185242193534288728076279/500000000000000000000000000 5207088917469364148046041/250000000000000000000000000 -1412251344460365821775051/500000000000000000000000000 -66692811555913582571519/12500000000000000000000000 0/1
0/1 801796813025916720650741/1000000000000000000000000000 -1412251344460365821775051/500000000000000000000000000 143173715191084091924521151/1000000000000000000000000000 -4664755851384612377206627/250000000000000000000000000 0/1
0/1 -5858919713954890733665167/250000000000000000000000000 -66692811555913582571519/12500000000000000000000000 -4664755851384612377206627/250000000000000000000000000 6166045316353738748265893/125000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- 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 :
172180579408011771346406411/1000000000000000000000000000 -24086879169807606644571161/250000000000000000000000000 -9479132864295682239536467/250000000000000000000000000 20181531895045725270291/1000000000000000000000000000 -504540748868395156849/25000000000000000000000000 10090898713867861976111/500000000000000000000000000 136454502318631245267859/31250000000000000000000000 -159356076052069555633552453/1000000000000000000000000000 16434531194832961814249053/200000000000000000000000000 19295855188376157922507077/500000000000000000000000000
-24086879169807606644571161/250000000000000000000000000 21522572396672995602381891/125000000000000000000000000 -4739566400383789873672609/125000000000000000000000000 -20181190049596506414553/1000000000000000000000000000 20181471422936185085837/1000000000000000000000000000 -20181815058458072335253/1000000000000000000000000000 4366544158817689925531513/1000000000000000000000000000 82172655404955246528200861/1000000000000000000000000000 -79678037882690297012477701/500000000000000000000000000 19295855080296377219292961/500000000000000000000000000
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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 :
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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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