#Density : 2341743146599816745221242547/12000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 10, 11, 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 :
227632216186167037365756429/1000000000000000000000000000 4514005594531957091059809/125000000000000000000000000 442098979048055205485913/200000000000000000000000000 -47991652217127252522056019/125000000000000000000000000 14538997278282278426464527/50000000000000000000000000 -59129658309488056519463331/1000000000000000000000000000
4514005594531957091059809/125000000000000000000000000 7833612736112954947807937/125000000000000000000000000 -360639470197605658789351/12500000000000000000000000 -7836017006189621907636217/125000000000000000000000000 -13669677529586145412451/781250000000000000000000 2004642729853825297256487/62500000000000000000000000
442098979048055205485913/200000000000000000000000000 -360639470197605658789351/12500000000000000000000000 599908143538223214455421/40000000000000000000000000 -17595853591941469926217/6250000000000000000000000 354550457449078244867739/10000000000000000000000000 -4366873397971287534045007/200000000000000000000000000
-47991652217127252522056019/125000000000000000000000000 -7836017006189621907636217/125000000000000000000000000 -17595853591941469926217/6250000000000000000000000 80951516423995683802439697/125000000000000000000000000 -1526410480284654921572011/3125000000000000000000000 1538035980175886509139027/15625000000000000000000000
14538997278282278426464527/50000000000000000000000000 -13669677529586145412451/781250000000000000000000 354550457449078244867739/10000000000000000000000000 -1526410480284654921572011/3125000000000000000000000 1106362822339249077242541/2500000000000000000000000 -6092805937323190740053753/50000000000000000000000000
-59129658309488056519463331/1000000000000000000000000000 2004642729853825297256487/62500000000000000000000000 -4366873397971287534045007/200000000000000000000000000 1538035980175886509139027/15625000000000000000000000 -6092805937323190740053753/50000000000000000000000000 45540295951617043468160309/1000000000000000000000000000


--- 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 :
23304600669458318498804511/1000000000000000000000000000 -16661655131140785591020043/500000000000000000000000000 45038089502985050029522881/500000000000000000000000000 -8313297611040476602997967/100000000000000000000000000 269162953034426758563939/5000000000000000000000000 -8211851856802985314754547/250000000000000000000000000
-16661655131140785591020043/500000000000000000000000000 11912272415501669554918759/250000000000000000000000000 -32200041773195119916896853/250000000000000000000000000 5943603143529536034389371/50000000000000000000000000 -192438409958101342299807/2500000000000000000000000 5871074367104772206316911/125000000000000000000000000
45038089502985050029522881/500000000000000000000000000 -32200041773195119916896853/250000000000000000000000000 87039874008106745233869151/250000000000000000000000000 -16066142783629834880547857/50000000000000000000000000 520179913897406663907069/2500000000000000000000000 -15870090380765291160093037/125000000000000000000000000
-8313297611040476602997967/100000000000000000000000000 5943603143529536034389371/50000000000000000000000000 -16066142783629834880547857/50000000000000000000000000 2965548225861862752521599/10000000000000000000000000 -96016737904211875321683/500000000000000000000000 2929360146164020925221859/25000000000000000000000000
269162953034426758563939/5000000000000000000000000 -192438409958101342299807/2500000000000000000000000 520179913897406663907069/2500000000000000000000000 -96016737904211875321683/500000000000000000000000 3108772225441311945111/25000000000000000000000 -94845062011942551056103/1250000000000000000000000
-8211851856802985314754547/250000000000000000000000000 5871074367104772206316911/125000000000000000000000000 -15870090380765291160093037/125000000000000000000000000 2929360146164020925221859/25000000000000000000000000 -94845062011942551056103/1250000000000000000000000 2893613663436613377694519/62500000000000000000000000


--- Term 3 ---

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

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

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

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


--- Term 4 ---

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

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

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

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


--- Term 5 ---

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

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

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

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

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

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

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


--- Term 7 ---

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

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

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

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

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

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

Matrix :
43131314103131667490992337/40000000000000000000000000 32752192670133902050185439/12500000000000000000000000 -16634019200928813131390531/200000000000000000000000000 -72446019918848762292385349/40000000000000000000000000 -170293452239327905595023913/200000000000000000000000000 -18610647346323780786794131/200000000000000000000000000 6663005887339110709708011/50000000000000000000000000 125316802464996334172335937/200000000000000000000000000 -47024298615211486385448153/50000000000000000000000000 -66456383762896219120523763/40000000000000000000000000 -23846749369578010673453979/12500000000000000000000000 23575804337360955654443557/20000000000000000000000000
32752192670133902050185439/12500000000000000000000000 1643543784993312268055573257/250000000000000000000000000 -113271256146098581107989919/500000000000000000000000000 -1144219806941516968195827673/250000000000000000000000000 -1101884167805962081308901181/500000000000000000000000000 12721449941810496766985351/500000000000000000000000000 21302495196796817080632689/62500000000000000000000000 383141490875777669856956197/250000000000000000000000000 -1169239226826570561044557717/500000000000000000000000000 -258824429959656451032768313/62500000000000000000000000 -588831263793068409828088791/125000000000000000000000000 1520285565418445229214730179/500000000000000000000000000
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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 :
1201086710006316403882041189/1000000000000000000000000000 29608641608670766860325641/15625000000000000000000000 728653899676484940444849147/500000000000000000000000000 5802703967457170335769733/7812500000000000000000000
29608641608670766860325641/15625000000000000000000000 3044561796898953705103041/976562500000000000000000 18988794962734243675674963/7812500000000000000000000 72137539523101991485731/61035156250000000000000
728653899676484940444849147/500000000000000000000000000 18988794962734243675674963/7812500000000000000000000 95152883426825842163592289/50000000000000000000000000 3560671547658815077883851/3906250000000000000000000
5802703967457170335769733/7812500000000000000000000 72137539523101991485731/61035156250000000000000 3560671547658815077883851/3906250000000000000000000 28082474096671506258777/61035156250000000000000


--- 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 :
2822976949407903323773818337/1000000000000000000000000000 31991767505712757648422497/50000000000000000000000000 -2025790998985571551516497233/1000000000000000000000000000 363717120759028034408293199/500000000000000000000000000 -277656271219569214033543011/1000000000000000000000000000 -772259886303705466438295467/500000000000000000000000000 -120549716925421953618117167/250000000000000000000000000 -406326201727784131228853889/500000000000000000000000000 -58838846309599333850345589/40000000000000000000000000 -86773520407897334341593953/62500000000000000000000000
31991767505712757648422497/50000000000000000000000000 6871496610511928885339531/1953125000000000000000000 273877988270956472152037219/500000000000000000000000000 1604668269838819866761227151/500000000000000000000000000 -1252075162932892300369967517/250000000000000000000000000 -1046815834390622979557311777/500000000000000000000000000 -61282057849329029178656299/50000000000000000000000000 -6576289644381263770917339/31250000000000000000000000 -17905899590840853002208477/12500000000000000000000000 -341437491789919385582297101/500000000000000000000000000
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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 :
1503977264950223014715621289/1000000000000000000000000000 -67877121168061119883424799/50000000000000000000000000 2965666600949022928088679897/1000000000000000000000000000 219894717986161981403891633/1000000000000000000000000000 649782253948991360959917567/1000000000000000000000000000 413196488923941365755855763/500000000000000000000000000
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219894717986161981403891633/1000000000000000000000000000 -72679662095024681840231071/50000000000000000000000000 1645585409533629048095618009/1000000000000000000000000000 1066277683716887990992826741/1000000000000000000000000000 151727002837289688389407099/1000000000000000000000000000 -904859957260696479743919319/500000000000000000000000000
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413196488923941365755855763/500000000000000000000000000 34411873827038026355721631/50000000000000000000000000 58438010767952967141786149/500000000000000000000000000 -904859957260696479743919319/500000000000000000000000000 71719553403634459946659607/250000000000000000000000000 1154816063941622435045131481/250000000000000000000000000


--- Term 12 ---

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

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

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

Matrix :
7199817995874799910129877/7812500000000000000000000 28504307968040710081554363/62500000000000000000000000 -596312172671626251575410617/500000000000000000000000000 42437987844547759087471191/100000000000000000000000000 -172474464986786320914946107/250000000000000000000000000 -26104301775544928159804697/100000000000000000000000000 120220231192596016930058781/250000000000000000000000000 -100363238834348429503545297/250000000000000000000000000 -114726226848170074584647493/62500000000000000000000000
28504307968040710081554363/62500000000000000000000000 1966097602068580142026623/7812500000000000000000000 -121905532106370277296280983/250000000000000000000000000 11088227833613905989815001/50000000000000000000000000 -37240250448617994962998323/125000000000000000000000000 -6915005280088023214407987/50000000000000000000000000 29830541300588887498714959/125000000000000000000000000 -34722036459875586002272173/125000000000000000000000000 -60957550182519804534432219/62500000000000000000000000
-596312172671626251575410617/500000000000000000000000000 -121905532106370277296280983/250000000000000000000000000 15589820491599821716610307/8000000000000000000000000 -502775818234582540703542173/1000000000000000000000000000 266166093300888931420335477/250000000000000000000000000 301801228778884435729796421/1000000000000000000000000000 -309840386883406173213118797/500000000000000000000000000 25869172183318337057544639/125000000000000000000000000 1055555554065179448672907203/500000000000000000000000000
42437987844547759087471191/100000000000000000000000000 11088227833613905989815001/50000000000000000000000000 -502775818234582540703542173/1000000000000000000000000000 200740119545730337710882111/1000000000000000000000000000 -74502967811596709575876263/250000000000000000000000000 -124333371130600451371885047/1000000000000000000000000000 110872010423404486393232463/500000000000000000000000000 -5516563037011189627060161/25000000000000000000000000 -437784269513240827720004769/500000000000000000000000000
-172474464986786320914946107/250000000000000000000000000 -37240250448617994962998323/125000000000000000000000000 266166093300888931420335477/250000000000000000000000000 -74502967811596709575876263/250000000000000000000000000 147331984533174327074713677/250000000000000000000000000 11259196963994552768019669/62500000000000000000000000 -2803701503161507000276803/7812500000000000000000000 42000701418081713174361441/250000000000000000000000000 63102906909292869138250233/50000000000000000000000000
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-114726226848170074584647493/62500000000000000000000000 -60957550182519804534432219/62500000000000000000000000 1055555554065179448672907203/500000000000000000000000000 -437784269513240827720004769/500000000000000000000000000 63102906909292869138250233/50000000000000000000000000 271722675534331111707615063/500000000000000000000000000 -47977421242403044987456683/50000000000000000000000000 250876155645885362545043151/250000000000000000000000000 119646404496932712311741589/31250000000000000000000000


--- Term 13 ---

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

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

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

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 702086447163782562030477683/125000000000000000000000000 176030824660361111447021193/250000000000000000000000000 -352061649509812913385411867/500000000000000000000000000 352061649509812913385411867/500000000000000000000000000 0/1 660550556994790682164908511/250000000000000000000000000
0/1 176030824660361111447021193/250000000000000000000000000 174094239132507464508096147/250000000000000000000000000 4411676241731455600109949/125000000000000000000000000 -4411676241731455600109949/125000000000000000000000000 0/1 7171005860086381496521599/25000000000000000000000000
0/1 -352061649509812913385411867/500000000000000000000000000 4411676241731455600109949/125000000000000000000000000 348188478474230864780629911/500000000000000000000000000 -348188478474230864780629911/500000000000000000000000000 0/1 -286840234949519057590583553/1000000000000000000000000000
0/1 352061649509812913385411867/500000000000000000000000000 -4411676241731455600109949/125000000000000000000000000 -348188478474230864780629911/500000000000000000000000000 348188478474230864780629911/500000000000000000000000000 0/1 286840234949519057590583553/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 660550556994790682164908511/250000000000000000000000000 7171005860086381496521599/25000000000000000000000000 -286840234949519057590583553/1000000000000000000000000000 286840234949519057590583553/1000000000000000000000000000 0/1 1251078431902986187767911791/1000000000000000000000000000


--- 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 :
16983833891973019490292413/3906250000000000000000000 -20666121544002434365544591/31250000000000000000000000 64486089207969610301486297/31250000000000000000000000 750975399127097106285179/7812500000000000000000000 9381265372052616410571829/7812500000000000000000000 37837122140211390698577613/31250000000000000000000000 -117277600996849658107518581/31250000000000000000000000 -82105778596524664429132643/31250000000000000000000000 -11872708026703646934423061/15625000000000000000000000 143326892185002688335097/3125000000000000000000000 20818137054421102193324311/15625000000000000000000000 19889850632738394308360109/7812500000000000000000000
-20666121544002434365544591/31250000000000000000000000 84352266226386416892394903/250000000000000000000000000 -34623213253502503084289873/250000000000000000000000000 5255088897999656753387551/62500000000000000000000000 -42830369779780024636870447/62500000000000000000000000 -20348485372535513240352881/250000000000000000000000000 35513050959026184659079317/250000000000000000000000000 216441042585335954270768947/250000000000000000000000000 3606334642751993528907621/125000000000000000000000000 6482957194448427311006443/125000000000000000000000000 52932431599245862164651679/125000000000000000000000000 -28335279898019484653769243/62500000000000000000000000
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143326892185002688335097/3125000000000000000000000 6482957194448427311006443/125000000000000000000000000 8167662236570094549420323/125000000000000000000000000 798034158755587696535027/31250000000000000000000000 -3506789105343524230990787/31250000000000000000000000 957643926395690653186343/25000000000000000000000000 -3652943928621026680137379/25000000000000000000000000 11012272139478065104320343/125000000000000000000000000 -1847662440195396016601503/62500000000000000000000000 943929432753604720634159/62500000000000000000000000 10601006681118430602276403/62500000000000000000000000 65162061291952081730253/6250000000000000000000000
20818137054421102193324311/15625000000000000000000000 52932431599245862164651679/125000000000000000000000000 27400509888591331807276811/25000000000000000000000000 9075210231230418983518177/31250000000000000000000000 -30028704715520507649170641/31250000000000000000000000 80341949473181576984414971/125000000000000000000000000 -285451860949030327460974507/125000000000000000000000000 10680948887771105709934343/25000000000000000000000000 -28883264235249726286800363/62500000000000000000000000 10601006681118430602276403/62500000000000000000000000 128976066650066392396730413/62500000000000000000000000 18916667492625007049623743/31250000000000000000000000
19889850632738394308360109/7812500000000000000000000 -28335279898019484653769243/62500000000000000000000000 72459248393618642951791341/62500000000000000000000000 448826491478853908556027/15625000000000000000000000 13179509237459434719432117/15625000000000000000000000 42517691168391742563176409/62500000000000000000000000 -129861413046969809142299433/62500000000000000000000000 -104289600918709164125439279/62500000000000000000000000 -13147419557823613968693993/31250000000000000000000000 65162061291952081730253/6250000000000000000000000 18916667492625007049623743/31250000000000000000000000 23581628023849361480153637/15625000000000000000000000


--- 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 :
352946017860997773672258123/125000000000000000000000000 12116306610574127858097981/31250000000000000000000000 -58758282187758102768324333/62500000000000000000000000 -142985116686105059650234983/50000000000000000000000000
12116306610574127858097981/31250000000000000000000000 2068601923208595232114189/31250000000000000000000000 -300733561857212087838977/31250000000000000000000000 -6071071101111625380306031/15625000000000000000000000
-58758282187758102768324333/62500000000000000000000000 -300733561857212087838977/31250000000000000000000000 11053332843389007823000717/7812500000000000000000000 24757460169372243853419683/25000000000000000000000000
-142985116686105059650234983/50000000000000000000000000 -6071071101111625380306031/15625000000000000000000000 24757460169372243853419683/25000000000000000000000000 1448809417415648617002294079/500000000000000000000000000


--- 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 :
133452955405719482365550413/1000000000000000000000000000 7534002897075617408649019/200000000000000000000000000 5308607097218303446250783/250000000000000000000000000 -17735829967691785605047797/200000000000000000000000000 -6285593884220374556285123/250000000000000000000000000 17662294092207859128403941/125000000000000000000000000
7534002897075617408649019/200000000000000000000000000 425327408303399353187197/40000000000000000000000000 299694084168365947542329/50000000000000000000000000 -1001265157091483552448211/40000000000000000000000000 -354849260472260254845749/50000000000000000000000000 997113735362001569309283/25000000000000000000000000
5308607097218303446250783/250000000000000000000000000 299694084168365947542329/50000000000000000000000000 211170365069552867152453/62500000000000000000000000 -705511185985398775130327/50000000000000000000000000 -250033790578565033653393/62500000000000000000000000 702586012321710821621031/31250000000000000000000000
-17735829967691785605047797/200000000000000000000000000 -1001265157091483552448211/40000000000000000000000000 -705511185985398775130327/50000000000000000000000000 2357082791359393988809693/40000000000000000000000000 835352233583566995973787/50000000000000000000000000 -2347309910870211663262029/25000000000000000000000000
-6285593884220374556285123/250000000000000000000000000 -354849260472260254845749/50000000000000000000000000 -250033790578565033653393/62500000000000000000000000 835352233583566995973787/50000000000000000000000000 296049573104136179135533/62500000000000000000000000 -831888716063049427050411/31250000000000000000000000
17662294092207859128403941/125000000000000000000000000 997113735362001569309283/25000000000000000000000000 702586012321710821621031/31250000000000000000000000 -2347309910870211663262029/25000000000000000000000000 -831888716063049427050411/31250000000000000000000000 2337577550465179949077437/15625000000000000000000000


--- Term 17 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

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

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

Matrix :
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--- Term 18 ---

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

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

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

Matrix :
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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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