#Density : 367059429133473973026189721/2400000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 9, 10, 12, 13, 14}
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 :
58232459652170979963078687/1000000000000000000000000000 30603165233368597956066783/1000000000000000000000000000 -11983120171626333630552927/1000000000000000000000000000 -9604121133196307037115587/100000000000000000000000000 5037951755108156051489949/500000000000000000000000000 1559674211869785601674513/50000000000000000000000000
30603165233368597956066783/1000000000000000000000000000 16083018438427657276908447/1000000000000000000000000000 -6297542793384670654406943/1000000000000000000000000000 -5047296777709376130218883/100000000000000000000000000 2647617341260052819211741/500000000000000000000000000 819662571376469761672017/50000000000000000000000000
-11983120171626333630552927/1000000000000000000000000000 -6297542793384670654406943/1000000000000000000000000000 2465895651761028121271967/1000000000000000000000000000 1976343406570442309677827/100000000000000000000000000 -1036713572823746442702429/500000000000000000000000000 -320950954520181491064273/50000000000000000000000000
-9604121133196307037115587/100000000000000000000000000 -5047296777709376130218883/100000000000000000000000000 1976343406570442309677827/100000000000000000000000000 1583981567875763334182487/10000000000000000000000000 -830895675852733961466249/50000000000000000000000000 -257232824246012336477613/5000000000000000000000000
5037951755108156051489949/500000000000000000000000000 2647617341260052819211741/500000000000000000000000000 -1036713572823746442702429/500000000000000000000000000 -830895675852733961466249/50000000000000000000000000 435855844633743126774423/250000000000000000000000000 134934424546385728286451/25000000000000000000000000
1559674211869785601674513/50000000000000000000000000 819662571376469761672017/50000000000000000000000000 -320950954520181491064273/50000000000000000000000000 -257232824246012336477613/5000000000000000000000000 134934424546385728286451/25000000000000000000000000 41773671620634473092287/2500000000000000000000000


--- 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 :
29449559959575956082150979/250000000000000000000000000 103934815054799183839840969/500000000000000000000000000 -30239445915078973206984603/125000000000000000000000000 -23066239386185303676587801/125000000000000000000000000 -876656179216422392397679/100000000000000000000000000 -35274459475501615562267273/250000000000000000000000000
103934815054799183839840969/500000000000000000000000000 218894992675210003548642677/500000000000000000000000000 -212470914393622706308052301/500000000000000000000000000 -237271032674639935162522717/500000000000000000000000000 293541401455693445745437/5000000000000000000000000 -42694323303754183965970097/125000000000000000000000000
-30239445915078973206984603/125000000000000000000000000 -212470914393622706308052301/500000000000000000000000000 124215440802571336018110339/250000000000000000000000000 93717774665506588305678663/250000000000000000000000000 2003946669381772246155909/100000000000000000000000000 71805930844390506056416527/250000000000000000000000000
-23066239386185303676587801/125000000000000000000000000 -237271032674639935162522717/500000000000000000000000000 93717774665506588305678663/250000000000000000000000000 150374639803922855829126571/250000000000000000000000000 -14189665494392926456838147/100000000000000000000000000 103811310969204304104233159/250000000000000000000000000
-876656179216422392397679/100000000000000000000000000 293541401455693445745437/5000000000000000000000000 2003946669381772246155909/100000000000000000000000000 -14189665494392926456838147/100000000000000000000000000 7817439727391531356102597/100000000000000000000000000 -4312127436916327786501187/50000000000000000000000000
-35274459475501615562267273/250000000000000000000000000 -42694323303754183965970097/125000000000000000000000000 71805930844390506056416527/250000000000000000000000000 103811310969204304104233159/250000000000000000000000000 -4312127436916327786501187/50000000000000000000000000 36216976915174596991775453/125000000000000000000000000


--- Term 3 ---

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

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

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

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


--- Term 4 ---

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

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

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

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


--- Term 5 ---

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

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

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

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

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

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

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


--- Term 7 ---

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

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

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

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

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

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

Matrix :
41518675046888094444158313/200000000000000000000000000 31955684612588536818327081/62500000000000000000000000 56307865982228053009796061/500000000000000000000000000 229638425454581243411793291/1000000000000000000000000000 -30399442097489131041033207/250000000000000000000000000 65816223975073870945439883/250000000000000000000000000 -765056599375561084431556893/1000000000000000000000000000 -334628328133805109733468587/1000000000000000000000000000 -4691716715155881843873063/12500000000000000000000000 142074626130350278359251871/500000000000000000000000000 -43774212323049356554028541/100000000000000000000000000 -220465838692409545887752457/500000000000000000000000000
31955684612588536818327081/62500000000000000000000000 960219099106669151390142963/500000000000000000000000000 14466479460314426992973641/31250000000000000000000000 349388435014394825023047943/500000000000000000000000000 72090422177593179814294389/500000000000000000000000000 249357856037072519074366499/500000000000000000000000000 -681345748699936941314952951/250000000000000000000000000 -119182711837948692182152259/100000000000000000000000000 -707729564769347589989769043/500000000000000000000000000 464018420427512384161588609/500000000000000000000000000 -25494499850270420817986199/20000000000000000000000000 -844945163610827654929831577/500000000000000000000000000
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--- Term 9 ---

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

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

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

Matrix :
511432463426323533103899699/500000000000000000000000000 68288410740815207815947993/100000000000000000000000000 -73768749876420711574807677/125000000000000000000000000 212500434577198943221085703/250000000000000000000000000
68288410740815207815947993/100000000000000000000000000 9118128736421279895673351/20000000000000000000000000 -4924942247162594658340327/12500000000000000000000000 28373867497213586761825651/50000000000000000000000000
-73768749876420711574807677/125000000000000000000000000 -4924942247162594658340327/12500000000000000000000000 42561462930003193308536971/125000000000000000000000000 -12260380431333567826627829/25000000000000000000000000
212500434577198943221085703/250000000000000000000000000 28373867497213586761825651/50000000000000000000000000 -12260380431333567826627829/25000000000000000000000000 112112195267740931177928509/62500000000000000000000000


--- 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 :
3489450047794891056869868741/1000000000000000000000000000 546045992420674091598573829/1000000000000000000000000000 44819041167992268258357701/40000000000000000000000000 -1662610537878117353594018839/1000000000000000000000000000 -29437471935250897407557851/31250000000000000000000000 27572910359362140476665581/31250000000000000000000000 -194560196904531648972502233/1000000000000000000000000000 -209991319608432552392245439/1000000000000000000000000000 -810895028676583897462739291/1000000000000000000000000000 -1301934115823144995685786887/1000000000000000000000000000
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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 :
52907291230577228643905069/100000000000000000000000000 -61966229026558619464986263/62500000000000000000000000 62106149771394652932338487/125000000000000000000000000 -173397214613082553228962343/125000000000000000000000000 -597154486103371075543086577/1000000000000000000000000000 17076293694702501496635533/200000000000000000000000000
-61966229026558619464986263/62500000000000000000000000 459382106779936122259158449/200000000000000000000000000 -867222759660443968596591841/1000000000000000000000000000 3350032387724674831882897991/1000000000000000000000000000 277419070369458044759142511/250000000000000000000000000 -52925456249085354985566573/250000000000000000000000000
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-173397214613082553228962343/125000000000000000000000000 3350032387724674831882897991/1000000000000000000000000000 -47740761963755755909734459/40000000000000000000000000 4920271281771536497816523861/1000000000000000000000000000 774834196355116792501497533/500000000000000000000000000 -156129311373006304565226533/500000000000000000000000000
-597154486103371075543086577/1000000000000000000000000000 277419070369458044759142511/250000000000000000000000000 -281073238075099152073126611/500000000000000000000000000 774834196355116792501497533/500000000000000000000000000 674196668706205983006903467/1000000000000000000000000000 -95265383792994522628078853/1000000000000000000000000000
17076293694702501496635533/200000000000000000000000000 -52925456249085354985566573/250000000000000000000000000 36330411730198803905425499/500000000000000000000000000 -156129311373006304565226533/500000000000000000000000000 -95265383792994522628078853/1000000000000000000000000000 19868133482215436791596679/1000000000000000000000000000


--- 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 :
63117017930818371890566863/200000000000000000000000000 12005055522406052317561167/500000000000000000000000000 -12038753489257713244561119/20000000000000000000000000 181885099875936178978270509/500000000000000000000000000 -31834684788258232886247963/100000000000000000000000000 -34584284667576763584175449/100000000000000000000000000 10581561220386812478163437/200000000000000000000000000 65312283075069817781384793/500000000000000000000000000 -55442639239446235911826227/1000000000000000000000000000
12005055522406052317561167/500000000000000000000000000 14579250249032332216705593/500000000000000000000000000 1608480871695996162983847/25000000000000000000000000 -967585810859738017485063/7812500000000000000000000 -76422510223025836371329457/500000000000000000000000000 -59229328153308421929893229/500000000000000000000000000 2023170960855667953306171/25000000000000000000000000 2074003040635451719502061/50000000000000000000000000 -1338917154682190656112241/20000000000000000000000000
-12038753489257713244561119/20000000000000000000000000 1608480871695996162983847/25000000000000000000000000 3183833659603402421824797/2000000000000000000000000 -65221698942233466954755787/50000000000000000000000000 444511817915219058497157/5000000000000000000000000 360424218764516115280149/1250000000000000000000000 4179312388631046197711709/20000000000000000000000000 -6102436212135293408056449/50000000000000000000000000 -14701625256460718796184089/100000000000000000000000000
181885099875936178978270509/500000000000000000000000000 -967585810859738017485063/7812500000000000000000000 -65221698942233466954755787/50000000000000000000000000 62968841501885388128773053/50000000000000000000000000 5408448791878219438354563/15625000000000000000000000 14026406761888977598176603/125000000000000000000000000 -36535524899241294324860631/100000000000000000000000000 -6074847808818212813446041/250000000000000000000000000 141926906325880316712739239/500000000000000000000000000
-31834684788258232886247963/100000000000000000000000000 -76422510223025836371329457/500000000000000000000000000 444511817915219058497157/5000000000000000000000000 5408448791878219438354563/15625000000000000000000000 92644777225029971566254357/100000000000000000000000000 78251563324444611864813057/100000000000000000000000000 -10381837822384797919843119/25000000000000000000000000 -70051474211995677809481129/250000000000000000000000000 175563862312405053414002481/500000000000000000000000000
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10581561220386812478163437/200000000000000000000000000 2023170960855667953306171/25000000000000000000000000 4179312388631046197711709/20000000000000000000000000 -36535524899241294324860631/100000000000000000000000000 -10381837822384797919843119/25000000000000000000000000 -15862337743125376663608411/50000000000000000000000000 9009702412252434995460609/40000000000000000000000000 2212933693922672467445019/20000000000000000000000000 -7431503452175510171605077/40000000000000000000000000
65312283075069817781384793/500000000000000000000000000 2074003040635451719502061/50000000000000000000000000 -6102436212135293408056449/50000000000000000000000000 -6074847808818212813446041/250000000000000000000000000 -70051474211995677809481129/250000000000000000000000000 -62372351287927838957382843/250000000000000000000000000 2212933693922672467445019/20000000000000000000000000 22616959851204483028102611/250000000000000000000000000 -47669353235370850775793249/500000000000000000000000000
-55442639239446235911826227/1000000000000000000000000000 -1338917154682190656112241/20000000000000000000000000 -14701625256460718796184089/100000000000000000000000000 141926906325880316712739239/500000000000000000000000000 175563862312405053414002481/500000000000000000000000000 136119445920633030903299127/500000000000000000000000000 -7431503452175510171605077/40000000000000000000000000 -47669353235370850775793249/500000000000000000000000000 153703301059199941073567091/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 1359208212035650284655041597/250000000000000000000000000 -202810939316235824948126067/62500000000000000000000000 405621878820785462953854639/125000000000000000000000000 -405621878820785462953854639/125000000000000000000000000 0/1 251727433398504049535065083/250000000000000000000000000
0/1 -202810939316235824948126067/62500000000000000000000000 585017603342244157962876089/200000000000000000000000000 -2429545743184165217473362037/1000000000000000000000000000 2429545743184165217473362037/1000000000000000000000000000 0/1 3068116672520464430540931/10000000000000000000000000
0/1 405621878820785462953854639/125000000000000000000000000 -2429545743184165217473362037/1000000000000000000000000000 2925088018851912993632020001/1000000000000000000000000000 -2925088018851912993632020001/1000000000000000000000000000 0/1 -76702917012130644023379967/250000000000000000000000000
0/1 -405621878820785462953854639/125000000000000000000000000 2429545743184165217473362037/1000000000000000000000000000 -2925088018851912993632020001/1000000000000000000000000000 2925088018851912993632020001/1000000000000000000000000000 0/1 76702917012130644023379967/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 251727433398504049535065083/250000000000000000000000000 3068116672520464430540931/10000000000000000000000000 -76702917012130644023379967/250000000000000000000000000 76702917012130644023379967/250000000000000000000000000 0/1 64963272707986444338149249/50000000000000000000000000


--- 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 :
7629261436853700255019976697/500000000000000000000000000 493514072068678536630154689/1000000000000000000000000000 364310859444231624644940939/200000000000000000000000000 -7501923420767745259989413661/1000000000000000000000000000 -1988704563711489430344038301/1000000000000000000000000000 142175310290686838471322663/1000000000000000000000000000 -714285346280239148765190717/250000000000000000000000000 -909251199576482993326292739/500000000000000000000000000 -516762758102656130777790321/1000000000000000000000000000 892219421073118646271190191/1000000000000000000000000000 743682238113872132324361177/1000000000000000000000000000 272015335282670272779728559/500000000000000000000000000
493514072068678536630154689/1000000000000000000000000000 6235708949944898677926258043/1000000000000000000000000000 1516835609741665549236643331/1000000000000000000000000000 950152370523103288249612023/500000000000000000000000000 -5150087281743489186053360567/1000000000000000000000000000 -29471203042472041333140187/250000000000000000000000000 -36697139372264236365144013/15625000000000000000000000 -550066795629773621875216381/500000000000000000000000000 -410684918040347516652597897/250000000000000000000000000 -1915183126188152785206814679/1000000000000000000000000000 -29489467870354168596711279/50000000000000000000000000 -832518796638494213210134323/500000000000000000000000000
364310859444231624644940939/200000000000000000000000000 1516835609741665549236643331/1000000000000000000000000000 1158471331792816937758012399/1000000000000000000000000000 -1163155069852226182487751/1953125000000000000000000 -1339494324278339003568652519/1000000000000000000000000000 -264905347748654648242153777/500000000000000000000000000 -234739229367031599862724399/250000000000000000000000000 34227717370672964349879157/500000000000000000000000000 -222532596707979549096662409/500000000000000000000000000 -79367390581975590653355011/200000000000000000000000000 2930087498358222830751471/500000000000000000000000000 -377681796774396085437600513/500000000000000000000000000
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743682238113872132324361177/1000000000000000000000000000 -29489467870354168596711279/50000000000000000000000000 2930087498358222830751471/500000000000000000000000000 -614664327468124897028971469/1000000000000000000000000000 21085377020113951057883823/50000000000000000000000000 -77125866123986712853340083/1000000000000000000000000000 551637615786867702484731/7812500000000000000000000 7026718049291902293837653/62500000000000000000000000 134876207706116804003872613/1000000000000000000000000000 14156424271403069740051883/62500000000000000000000000 108141820051174347500860887/1000000000000000000000000000 14192648462417473017198487/125000000000000000000000000
272015335282670272779728559/500000000000000000000000000 -832518796638494213210134323/500000000000000000000000000 -377681796774396085437600513/500000000000000000000000000 -146244828638576945838400341/250000000000000000000000000 594117314617843333344931847/500000000000000000000000000 177462392530806181865988373/250000000000000000000000000 18686748888850924050554239/31250000000000000000000000 -234880718284149720284289051/500000000000000000000000000 21217877957633745258981013/50000000000000000000000000 309762962930853403124777151/500000000000000000000000000 14192648462417473017198487/125000000000000000000000000 102674668755781306505225657/100000000000000000000000000


--- 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 :
3776007366521616514662545719/1000000000000000000000000000 1959116517311337532300765731/1000000000000000000000000000 897436806254426979144045101/500000000000000000000000000 856481920525982181462623611/1000000000000000000000000000
1959116517311337532300765731/1000000000000000000000000000 2483396025582352114372727339/1000000000000000000000000000 115768750481216249031348073/100000000000000000000000000 205458061877949361142135987/200000000000000000000000000
897436806254426979144045101/500000000000000000000000000 115768750481216249031348073/100000000000000000000000000 1088138280141588545513484503/250000000000000000000000000 580001323457960362109301683/500000000000000000000000000
856481920525982181462623611/1000000000000000000000000000 205458061877949361142135987/200000000000000000000000000 580001323457960362109301683/500000000000000000000000000 576433272833270285409880153/500000000000000000000000000


--- Term 16 ---

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

Flags :
F1  : {0, 1, 2, 3}
F2  : {0, 1, 2, 3, 4}
F3  : {0, 1, 2, 3, 5}
F4  : {0, 1, 2, 3, 4, 5}
F5  : {0, 1, 2, 3, 6}
F6  : {0, 1, 2, 3, 4, 6}
F7  : {0, 1, 2, 3, 5, 6}
F8  : {0, 1, 2, 3, 4, 5, 6}
F9  : {0, 1, 2, 3, 7}
F10 : {0, 1, 2, 3, 4, 7}
F11 : {0, 1, 2, 3, 5, 7}
F12 : {0, 1, 2, 3, 4, 5, 7}
F13 : {0, 1, 2, 3, 6, 7}
F14 : {0, 1, 2, 3, 4, 6, 7}
F15 : {0, 1, 2, 3, 5, 6, 7}
F16 : {0, 1, 2, 3, 4, 5, 6, 7}

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

Matrix :
15796789125548201309664351/31250000000000000000000000 1345214186329404567126597/31250000000000000000000000 -1700158910189507732201067/62500000000000000000000000 -50923263692730703634681451/125000000000000000000000000 -18600776402903807550007581/125000000000000000000000000 3359489960247264886664253/62500000000000000000000000
1345214186329404567126597/31250000000000000000000000 109992211459825565821417/15625000000000000000000000 110563051049060151809841/62500000000000000000000000 -209127364017611229066947/7812500000000000000000000 -240783382754522497751409/15625000000000000000000000 -512707155971689279841887/31250000000000000000000000
-1700158910189507732201067/62500000000000000000000000 110563051049060151809841/62500000000000000000000000 801412426240631380092627/125000000000000000000000000 7879543847722715326592421/250000000000000000000000000 1172978205712692601574979/250000000000000000000000000 -3537951718026650743768119/125000000000000000000000000
-50923263692730703634681451/125000000000000000000000000 -209127364017611229066947/7812500000000000000000000 7879543847722715326592421/250000000000000000000000000 86731726955827713672849229/250000000000000000000000000 28373423528315618390445111/250000000000000000000000000 -1446918713553356964236167/15625000000000000000000000
-18600776402903807550007581/125000000000000000000000000 -240783382754522497751409/15625000000000000000000000 1172978205712692601574979/250000000000000000000000000 28373423528315618390445111/250000000000000000000000000 11506827897846678839528997/250000000000000000000000000 7548035720585044994019/6250000000000000000000000
3359489960247264886664253/62500000000000000000000000 -512707155971689279841887/31250000000000000000000000 -3537951718026650743768119/125000000000000000000000000 -1446918713553356964236167/15625000000000000000000000 7548035720585044994019/6250000000000000000000000 8514497376822031082399641/62500000000000000000000000


--- 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 :
994532516496068958500825949/1000000000000000000000000000 -124316445749391804562493459/125000000000000000000000000 -95276912177970630973/200000000000000000000000000 -242858224506244069075718027/500000000000000000000000000 121429112441285690484312021/250000000000000000000000000 -121429112424485039951554511/250000000000000000000000000 -396554644689192233612933/1000000000000000000000000000 9398698970670086832170393/125000000000000000000000000 -37595994902848163464793603/500000000000000000000000000 47879530513175176397/40000000000000000000000000
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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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