#Density : 3680433419763305455880136711/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 11, 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 :
999680133364294238510241827/1000000000000000000000000000 6806549412193207492438027/12500000000000000000000000 -294008359458413253476244831/500000000000000000000000000 -307703901351182549151841041/1000000000000000000000000000 -53252573158254731086768201/500000000000000000000000000 -25782642717559491521555727/250000000000000000000000000
6806549412193207492438027/12500000000000000000000000 16987351306399906536229913/50000000000000000000000000 -17561488984872753585777407/50000000000000000000000000 -1487643402159849045146201/12500000000000000000000000 -1667890761077796877230133/10000000000000000000000000 94990774935960734449547/5000000000000000000000000
-294008359458413253476244831/500000000000000000000000000 -17561488984872753585777407/50000000000000000000000000 11501837473955196390688441/31250000000000000000000000 73073956999930755752598373/500000000000000000000000000 4395178300451785372614851/31250000000000000000000000 422388442504231352591683/62500000000000000000000000
-307703901351182549151841041/1000000000000000000000000000 -1487643402159849045146201/12500000000000000000000000 73073956999930755752598373/500000000000000000000000000 149442770069679150730970603/1000000000000000000000000000 -44864817379677533055705517/500000000000000000000000000 29102478519441701244605941/250000000000000000000000000
-53252573158254731086768201/500000000000000000000000000 -1667890761077796877230133/10000000000000000000000000 4395178300451785372614851/31250000000000000000000000 -44864817379677533055705517/500000000000000000000000000 8924513947619059096517441/31250000000000000000000000 -11158338155394336910607947/62500000000000000000000000
-25782642717559491521555727/250000000000000000000000000 94990774935960734449547/5000000000000000000000000 422388442504231352591683/62500000000000000000000000 29102478519441701244605941/250000000000000000000000000 -11158338155394336910607947/62500000000000000000000000 1106359130089957365830539/7812500000000000000000000


--- 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 :
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 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 :
20433492604436863856630519/40000000000000000000000000 283778034366789462771324627/1000000000000000000000000000 -105209270790608044517418013/1000000000000000000000000000 168851118634245940355432517/250000000000000000000000000 -171510780952944132277176549/250000000000000000000000000 -164710669815481618516996363/100000000000000000000000000 -195257129443813108616523247/1000000000000000000000000000 8517507870844587243725319/10000000000000000000000000 51092782327711467793094891/250000000000000000000000000 -7022099033270485360995721/31250000000000000000000000 220911246795984692844782427/200000000000000000000000000 -138345314969371360854703/500000000000000000000000000
283778034366789462771324627/1000000000000000000000000000 11988486166272280741354641/20000000000000000000000000 -65309453265387423399845791/200000000000000000000000000 2733806387529054636570591067/1000000000000000000000000000 -96059562671912782951159307/250000000000000000000000000 -2368063681956418527888911253/1000000000000000000000000000 -170338479064130717023722481/1000000000000000000000000000 -1312647968329893406977169949/500000000000000000000000000 -2658165267618625744995759/8000000000000000000000000 -33837667173499313995731967/100000000000000000000000000 174564045521207809831136701/250000000000000000000000000 747487369061250514591477841/1000000000000000000000000000
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220911246795984692844782427/200000000000000000000000000 174564045521207809831136701/250000000000000000000000000 -36583306107895202862691957/200000000000000000000000000 1441886649925327656372646883/1000000000000000000000000000 -136638366300488875646556713/62500000000000000000000000 -4016665256302211057206600007/1000000000000000000000000000 -115074314420140033119094239/200000000000000000000000000 1435833675581431161789428251/500000000000000000000000000 1138168666421170575193093013/1000000000000000000000000000 -393897177206532556467124689/500000000000000000000000000 81449954258747640221399039/25000000000000000000000000 484794702930733591562041959/1000000000000000000000000000
-138345314969371360854703/500000000000000000000000000 747487369061250514591477841/1000000000000000000000000000 -103799533480173846288668719/250000000000000000000000000 3802584221557851240896704569/1000000000000000000000000000 -14321258557558403572935247/50000000000000000000000000 -2529046689606586481968962093/1000000000000000000000000000 -10078161973168438874448469/62500000000000000000000000 -1148294989617564914199134011/250000000000000000000000000 -441197727144658868034319939/1000000000000000000000000000 -116475077536407482481478959/250000000000000000000000000 484794702930733591562041959/1000000000000000000000000000 1402404932616500808361118427/1000000000000000000000000000


--- 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 :
3079390489924772430788646211/1000000000000000000000000000 2258455038698735283495001823/1000000000000000000000000000 310682664698216707377846393/200000000000000000000000000 1992881609445134432883273199/1000000000000000000000000000
2258455038698735283495001823/1000000000000000000000000000 177680883688871633668074967/100000000000000000000000000 1240290310575671433499532337/1000000000000000000000000000 1524752785721631649789186949/1000000000000000000000000000
310682664698216707377846393/200000000000000000000000000 1240290310575671433499532337/1000000000000000000000000000 868330541775893254414784697/1000000000000000000000000000 1058281867627372885117171863/1000000000000000000000000000
1992881609445134432883273199/1000000000000000000000000000 1524752785721631649789186949/1000000000000000000000000000 1058281867627372885117171863/1000000000000000000000000000 2282674268004546288164948237/1000000000000000000000000000


--- 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 :
670536272498359460395239823/500000000000000000000000000 41597068908130568629747933/500000000000000000000000000 -10935754019429313195076849/10000000000000000000000000 11728145277702665882283439/20000000000000000000000000 -18634259235878772111209789/500000000000000000000000000 396990394348897620045944513/500000000000000000000000000 -661544797329420092658410787/500000000000000000000000000 211228522583626838342171199/500000000000000000000000000 -59648642637990999807955491/100000000000000000000000000 -187944572117665729370954671/125000000000000000000000000
41597068908130568629747933/500000000000000000000000000 7304180339052084609032170809/1000000000000000000000000000 -140111579329012932506987047/40000000000000000000000000 546988921194771939021437883/1000000000000000000000000000 560560343654754008726191551/200000000000000000000000000 -3421700333175657282737882237/1000000000000000000000000000 -849932922275045998426870319/250000000000000000000000000 -2495771363585561129814471259/1000000000000000000000000000 -1530241203035598450678382469/500000000000000000000000000 -2788503259412715539311199459/1000000000000000000000000000
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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 :
1701574054822633669994576603/1000000000000000000000000000 261484624680095607395771797/125000000000000000000000000 766515048561357627082171747/1000000000000000000000000000 -1672561991079014213071845961/1000000000000000000000000000 -247417166338476685790421039/1000000000000000000000000000 -43434902990243643787470483/40000000000000000000000000
261484624680095607395771797/125000000000000000000000000 1286572444347989797294518049/500000000000000000000000000 118887273668404963838726189/125000000000000000000000000 -205423516634148203922901333/100000000000000000000000000 -69248335932897474338995881/250000000000000000000000000 -327712228069608489282261933/250000000000000000000000000
766515048561357627082171747/1000000000000000000000000000 118887273668404963838726189/125000000000000000000000000 239913555438161454499418419/200000000000000000000000000 -741413533308334592132054381/1000000000000000000000000000 54104273839270621335782991/1000000000000000000000000000 -342345508542173645840182209/1000000000000000000000000000
-1672561991079014213071845961/1000000000000000000000000000 -205423516634148203922901333/100000000000000000000000000 -741413533308334592132054381/1000000000000000000000000000 1646756876347678053654939049/1000000000000000000000000000 280518512690417218731940871/1000000000000000000000000000 1100452181869711777048194679/1000000000000000000000000000
-247417166338476685790421039/1000000000000000000000000000 -69248335932897474338995881/250000000000000000000000000 54104273839270621335782991/1000000000000000000000000000 280518512690417218731940871/1000000000000000000000000000 8585614593091582289567507/15625000000000000000000000 306623776122977997502691831/500000000000000000000000000
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--- Term 12 ---

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

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

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

Matrix :
242330285032650637902605737/1000000000000000000000000000 -2645991179312241925152541/10000000000000000000000000 290355078494740538469546453/500000000000000000000000000 8842432788785661081418381/31250000000000000000000000 -152787487009513012639461301/1000000000000000000000000000 11344197747712147707887183/100000000000000000000000000 -140333866502447842487815439/1000000000000000000000000000 -222393780931685648434427507/500000000000000000000000000 639208497601798752386803143/1000000000000000000000000000
-2645991179312241925152541/10000000000000000000000000 14732714038134777078249959/50000000000000000000000000 -7962933483040304236114011/12500000000000000000000000 -7996638972420354480682397/25000000000000000000000000 3598656042071894152189033/25000000000000000000000000 -6371538178240520996717539/50000000000000000000000000 2013461063871360786520009/12500000000000000000000000 24210654638123375742020963/50000000000000000000000000 -9452764803223188649993677/12500000000000000000000000
290355078494740538469546453/500000000000000000000000000 -7962933483040304236114011/12500000000000000000000000 348279096704834317835639277/250000000000000000000000000 42730806939158766805860711/62500000000000000000000000 -177166092597868735647169629/500000000000000000000000000 13684290727843031427624561/50000000000000000000000000 -170168705408874303605497551/500000000000000000000000000 -266280869032553441484598173/250000000000000000000000000 780913606770998987740783047/500000000000000000000000000
8842432788785661081418381/31250000000000000000000000 -7996638972420354480682397/25000000000000000000000000 42730806939158766805860711/62500000000000000000000000 21944761605455269599899647/62500000000000000000000000 -16866217954310604876007867/125000000000000000000000000 3480810349148442403704379/25000000000000000000000000 -22346275343623552809494843/125000000000000000000000000 -64575838693449590196879223/125000000000000000000000000 107135986720291833719917731/125000000000000000000000000
-152787487009513012639461301/1000000000000000000000000000 3598656042071894152189033/25000000000000000000000000 -177166092597868735647169629/500000000000000000000000000 -16866217954310604876007867/125000000000000000000000000 187546002985327348609242253/1000000000000000000000000000 -5731655419551556954850201/100000000000000000000000000 57197987809439105114123327/1000000000000000000000000000 143103847459749600818206181/500000000000000000000000000 -170718578835927823341041079/1000000000000000000000000000
11344197747712147707887183/100000000000000000000000000 -6371538178240520996717539/50000000000000000000000000 13684290727843031427624561/50000000000000000000000000 3480810349148442403704379/25000000000000000000000000 -5731655419551556954850201/100000000000000000000000000 172870574009961299479019/3125000000000000000000000 -7056691148631385283795743/100000000000000000000000000 -1295744398066200646398347/6250000000000000000000000 33541562804502000186724983/100000000000000000000000000
-140333866502447842487815439/1000000000000000000000000000 2013461063871360786520009/12500000000000000000000000 -170168705408874303605497551/500000000000000000000000000 -22346275343623552809494843/125000000000000000000000000 57197987809439105114123327/1000000000000000000000000000 -7056691148631385283795743/100000000000000000000000000 91995373596004321777281013/1000000000000000000000000000 127798805598859020468113299/500000000000000000000000000 -449831801640456313957340061/1000000000000000000000000000
-222393780931685648434427507/500000000000000000000000000 24210654638123375742020963/50000000000000000000000000 -266280869032553441484598173/250000000000000000000000000 -64575838693449590196879223/125000000000000000000000000 143103847459749600818206181/500000000000000000000000000 -1295744398066200646398347/6250000000000000000000000 127798805598859020468113299/500000000000000000000000000 3190449623701622264232613/3906250000000000000000000 -579270549840935883215567883/500000000000000000000000000
639208497601798752386803143/1000000000000000000000000000 -9452764803223188649993677/12500000000000000000000000 780913606770998987740783047/500000000000000000000000000 107135986720291833719917731/125000000000000000000000000 -170718578835927823341041079/1000000000000000000000000000 33541562804502000186724983/100000000000000000000000000 -449831801640456313957340061/1000000000000000000000000000 -579270549840935883215567883/500000000000000000000000000 2277673460951172531606308997/1000000000000000000000000000


--- 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 :
2306281874763218927511137247/1000000000000000000000000000 359180936387817981/500000000000000000000000000 519390336146834740563153693/1000000000000000000000000000 -519390342060018689269416789/1000000000000000000000000000 -519390336824480558032595937/1000000000000000000000000000 231427601528064527557590711/500000000000000000000000000 1179447572352531/25000000000000000000000000
359180936387817981/500000000000000000000000000 1504041769082697745873663/250000000000000000000000000 -38459214865427264472158561/500000000000000000000000000 38459214536718180088671113/500000000000000000000000000 -38459214641569290315807851/500000000000000000000000000 36137146618227333/250000000000000000000000000 122264028385801552118747/2500000000000000000000000
519390336146834740563153693/1000000000000000000000000000 -38459214865427264472158561/500000000000000000000000000 2981358619668537496064889567/1000000000000000000000000000 780569586205836218585214729/1000000000000000000000000000 -1014510050337561054325573803/1000000000000000000000000000 52119067023616281672664069/500000000000000000000000000 -15631808341731362683830337/25000000000000000000000000
-519390342060018689269416789/1000000000000000000000000000 38459214536718180088671113/500000000000000000000000000 780569586205836218585214729/1000000000000000000000000000 2981358618708654761681496303/1000000000000000000000000000 -2747418154389199849120605981/1000000000000000000000000000 -52119067738049783816998717/500000000000000000000000000 15631808296957105443724117/25000000000000000000000000
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231427601528064527557590711/500000000000000000000000000 36137146618227333/250000000000000000000000000 52119067023616281672664069/500000000000000000000000000 -52119067738049783816998717/500000000000000000000000000 -52119067096451251569551081/500000000000000000000000000 23222978654563365827637743/250000000000000000000000000 156784401816227/12500000000000000000000000
1179447572352531/25000000000000000000000000 122264028385801552118747/2500000000000000000000000 -15631808341731362683830337/25000000000000000000000000 15631808296957105443724117/25000000000000000000000000 -15631808274349519329912211/25000000000000000000000000 156784401816227/12500000000000000000000000 2484720328984122318448707/6250000000000000000000000


--- 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 :
287728894902939921532056423/1000000000000000000000000000 -148016040383584637482795783/1000000000000000000000000000 -129474984679116526025558501/500000000000000000000000000 -5649007818513829812576719/250000000000000000000000000 -11034120395530789514930223/62500000000000000000000000 180134645551514755538467263/1000000000000000000000000000 48799130654656653173259891/1000000000000000000000000000 53531390646225073309991197/500000000000000000000000000 -25500628153832303753167067/1000000000000000000000000000 414032682552115287250469161/1000000000000000000000000000 -152252315747393970860014023/1000000000000000000000000000 106375650252928444312157329/500000000000000000000000000
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48799130654656653173259891/1000000000000000000000000000 -22132369701720324329948811/500000000000000000000000000 -3839242985320953325041633/40000000000000000000000000 6603061981067593823903157/250000000000000000000000000 -1027414118349578072960859939/1000000000000000000000000000 23298634091844529044359217/200000000000000000000000000 213837882840456231375408669/1000000000000000000000000000 8769442671720719409270489/1000000000000000000000000000 -5704171990553865597326901/250000000000000000000000000 77711145175732996731504411/1000000000000000000000000000 -36602943773524465976677197/200000000000000000000000000 102124718885103595595541051/500000000000000000000000000
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106375650252928444312157329/500000000000000000000000000 -26157390187391549639989743/500000000000000000000000000 -6581269792943495757329297/25000000000000000000000000 5630404227685992996708833/125000000000000000000000000 -218439369466647765081598529/125000000000000000000000000 6117744198893572394827263/20000000000000000000000000 102124718885103595595541051/500000000000000000000000000 81254994989057001632954083/250000000000000000000000000 -40671872175542352395108421/500000000000000000000000000 78888892983194046020288189/500000000000000000000000000 -67328933398458596281363459/100000000000000000000000000 249593543972287810557845849/250000000000000000000000000


--- 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 :
1361228771882067409557167013/500000000000000000000000000 -40106905033013705413148609/125000000000000000000000000 -102728017963256679520639317/125000000000000000000000000 -51679820430964175352913167/62500000000000000000000000
-40106905033013705413148609/125000000000000000000000000 270607966225067360096514809/1000000000000000000000000000 346561520058441283156677821/500000000000000000000000000 348692352905535904569744987/500000000000000000000000000
-102728017963256679520639317/125000000000000000000000000 346561520058441283156677821/500000000000000000000000000 443833523678770640738184249/250000000000000000000000000 446562433255162710638008743/250000000000000000000000000
-51679820430964175352913167/62500000000000000000000000 348692352905535904569744987/500000000000000000000000000 446562433255162710638008743/250000000000000000000000000 449308121526896221674421857/250000000000000000000000000


--- 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 :
1715427591565593787021539/12500000000000000000000000 -318048924145123086097689/7812500000000000000000000 -28999468266978322347633/62500000000000000000000000 -124239700803167121263823/390625000000000000000000 -395130623502089700470097/62500000000000000000000000 3441309161887781653585653/62500000000000000000000000
-318048924145123086097689/7812500000000000000000000 1509928848130630620387879/125000000000000000000000000 8470696951377988334727/62500000000000000000000000 11814089398722327177230049/125000000000000000000000000 117119681038360550824581/62500000000000000000000000 -1047839748206796555247113/62500000000000000000000000
-28999468266978322347633/62500000000000000000000000 8470696951377988334727/62500000000000000000000000 197161459368902704669/62500000000000000000000000 59569336085673271872153/62500000000000000000000000 1407349866351596840153/62500000000000000000000000 8633966701545869662787/62500000000000000000000000
-124239700803167121263823/390625000000000000000000 11814089398722327177230049/125000000000000000000000000 59569336085673271872153/62500000000000000000000000 18663557501627930170713771/25000000000000000000000000 910249685445635379425067/62500000000000000000000000 -9537925539495766208969703/62500000000000000000000000
-395130623502089700470097/62500000000000000000000000 117119681038360550824581/62500000000000000000000000 1407349866351596840153/62500000000000000000000000 910249685445635379425067/62500000000000000000000000 3650855312817936667049/12500000000000000000000000 -143931139441429028625089/62500000000000000000000000
3441309161887781653585653/62500000000000000000000000 -1047839748206796555247113/62500000000000000000000000 8633966701545869662787/62500000000000000000000000 -9537925539495766208969703/62500000000000000000000000 -143931139441429028625089/62500000000000000000000000 5525819828999788645832197/62500000000000000000000000


--- 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 :
56006740058692358652909903/125000000000000000000000000 -56006740058692358652909903/125000000000000000000000000 34967951228059437/250000000000000000000000000 -599189046743180860529757/125000000000000000000000000 599189046743180860529757/125000000000000000000000000 -9587024024038170068433/2000000000000000000000000 0/1 -36832157629162246878410943/250000000000000000000000000 36832157629162246878410943/250000000000000000000000000 844361641754373/3125000000000000000000000
-56006740058692358652909903/125000000000000000000000000 56006740058692358652909903/125000000000000000000000000 -34967951228059437/250000000000000000000000000 599189046743180860529757/125000000000000000000000000 -599189046743180860529757/125000000000000000000000000 9587024024038170068433/2000000000000000000000000 0/1 36832157629162246878410943/250000000000000000000000000 -36832157629162246878410943/250000000000000000000000000 -844361641754373/3125000000000000000000000
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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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