#Density : 4880340884572850410484283299/8000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {7}
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 :
210165289211092431584114987/1000000000000000000000000000 53249827849014781703330723/125000000000000000000000000 -506378872380850807867483679/1000000000000000000000000000 -204378915300584485577585381/500000000000000000000000000 754658897938998858644877/40000000000000000000000000 8954952609554517459474581/100000000000000000000000000
53249827849014781703330723/125000000000000000000000000 189947474205340918221231331/200000000000000000000000000 -10264145095260326628703469/10000000000000000000000000 -212202260243087064316905217/250000000000000000000000000 7774290994034166977454809/200000000000000000000000000 34663452709922381298475941/250000000000000000000000000
-506378872380850807867483679/1000000000000000000000000000 -10264145095260326628703469/10000000000000000000000000 1220085216527602871825846779/1000000000000000000000000000 492437000693194134594500161/500000000000000000000000000 -45457473429402744858209397/1000000000000000000000000000 -107881725401475422965922503/500000000000000000000000000
-204378915300584485577585381/500000000000000000000000000 -212202260243087064316905217/250000000000000000000000000 492437000693194134594500161/500000000000000000000000000 205485501850717670858839933/250000000000000000000000000 -153108919216495489171809/4000000000000000000000000 -44874512198142495772681831/250000000000000000000000000
754658897938998858644877/40000000000000000000000000 7774290994034166977454809/200000000000000000000000000 -45457473429402744858209397/1000000000000000000000000000 -153108919216495489171809/4000000000000000000000000 2083496536699824553262921/100000000000000000000000000 -4049058546955780595476931/500000000000000000000000000
8954952609554517459474581/100000000000000000000000000 34663452709922381298475941/250000000000000000000000000 -107881725401475422965922503/500000000000000000000000000 -44874512198142495772681831/250000000000000000000000000 -4049058546955780595476931/500000000000000000000000000 13299459962266952554309587/100000000000000000000000000


--- 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 :
23453175718723851351483231/125000000000000000000000000 -231846222016921708873249011/1000000000000000000000000000 -106024421549202668966951523/500000000000000000000000000 137581415017876306006830189/500000000000000000000000000 0/1 -176538472488565113264551583/1000000000000000000000000000
-231846222016921708873249011/1000000000000000000000000000 311801793604992652694340777/1000000000000000000000000000 211400946644999056911469761/1000000000000000000000000000 -88550397559763160158862909/250000000000000000000000000 0/1 247433787425969674252711119/1000000000000000000000000000
-106024421549202668966951523/500000000000000000000000000 211400946644999056911469761/1000000000000000000000000000 42612686941511890880954763/125000000000000000000000000 -141304026872846473625318229/500000000000000000000000000 0/1 140943626248399462076491161/1000000000000000000000000000
137581415017876306006830189/500000000000000000000000000 -88550397559763160158862909/250000000000000000000000000 -141304026872846473625318229/500000000000000000000000000 122954006248232695982187543/250000000000000000000000000 0/1 -10839131322517853331224049/31250000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-176538472488565113264551583/1000000000000000000000000000 247433787425969674252711119/1000000000000000000000000000 140943626248399462076491161/1000000000000000000000000000 -10839131322517853331224049/31250000000000000000000000 0/1 347859045179532006457775109/1000000000000000000000000000


--- 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 20385959702498332128635699/200000000000000000000000000 -8267461823777036010217739/200000000000000000000000000
0/1 0/1 -8267461823777036010217739/200000000000000000000000000 11162333418466200967123827/200000000000000000000000000


--- 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 :
31237882726339088469129331/250000000000000000000000000 -6392987783386108193897457/1000000000000000000000000000 -8021079428496863254429099/200000000000000000000000000
-6392987783386108193897457/1000000000000000000000000000 6657863310346997873107453/1000000000000000000000000000 -2440099814893374639247823/500000000000000000000000000
-8021079428496863254429099/200000000000000000000000000 -2440099814893374639247823/500000000000000000000000000 24550466295575945527144599/500000000000000000000000000


--- 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 :
944881/125000000


--- 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 :
21673930498851573967217337/1000000000000000000000000000 -39029814842099084268218591/1000000000000000000000000000 36119893835619483113901671/1000000000000000000000000000
-39029814842099084268218591/1000000000000000000000000000 70283811544438316135464649/1000000000000000000000000000 -13008741255882139906695053/200000000000000000000000000
36119893835619483113901671/1000000000000000000000000000 -13008741255882139906695053/200000000000000000000000000 138312030574592208363221097/1000000000000000000000000000


--- 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 :
23933441/500000000


--- 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 :
104174221013609164652802631/125000000000000000000000000 -2197556941415825575364312203/1000000000000000000000000000 45545675748822021458344537/250000000000000000000000000 -4931994151744091432670789/1000000000000000000000000000 -160789593941251222306221789/200000000000000000000000000 888369147203693941912260241/1000000000000000000000000000 523012329739901016712873869/1000000000000000000000000000 14867962281018490512074727/500000000000000000000000000 -7989398991331990094522157/125000000000000000000000000 113978549704683264823675557/500000000000000000000000000 -875464791395431856164782693/1000000000000000000000000000 857378941383457129129605161/1000000000000000000000000000
-2197556941415825575364312203/1000000000000000000000000000 3335973636610839140365897987/500000000000000000000000000 -57765119684080460010895897/125000000000000000000000000 264704028048412406392423437/1000000000000000000000000000 310663073699650423462562163/250000000000000000000000000 -33099999908608704691545849/20000000000000000000000000 -39024137904866490734441793/40000000000000000000000000 102800193596960067243623139/1000000000000000000000000000 65558391763903633047958389/1000000000000000000000000000 -317949226736607076654221991/500000000000000000000000000 165262910884618581954981321/200000000000000000000000000 -372269143256780111897086723/200000000000000000000000000
45545675748822021458344537/250000000000000000000000000 -57765119684080460010895897/125000000000000000000000000 140279242366633345887549359/200000000000000000000000000 -282640010485097840276497709/1000000000000000000000000000 -194018192247960801318164017/1000000000000000000000000000 7013703866064856369950969/40000000000000000000000000 21152284410384327804169159/1000000000000000000000000000 -6788232141862592760996821/500000000000000000000000000 -42829509144796022839999/200000000000000000000000 -187939573063814237204985623/1000000000000000000000000000 -29593738221019235184172739/125000000000000000000000000 9625234157090470271517721/62500000000000000000000000
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857378941383457129129605161/1000000000000000000000000000 -372269143256780111897086723/200000000000000000000000000 9625234157090470271517721/62500000000000000000000000 134155958388107258464712153/1000000000000000000000000000 -1226542860199620490233711293/1000000000000000000000000000 37479066892411271883237497/50000000000000000000000000 225137890892964458023041113/1000000000000000000000000000 -537164721351707263279254663/500000000000000000000000000 -169866348145431131762867493/500000000000000000000000000 -104262909977115872316712131/500000000000000000000000000 -80102617734899777173472369/50000000000000000000000000 2772879979175268928260933123/500000000000000000000000000


--- 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 :
889857414357424230052387553/250000000000000000000000000 14594550789156744958416477/250000000000000000000000000 212149113899570874497276459/100000000000000000000000000 -110109982816600492120685661/125000000000000000000000000
14594550789156744958416477/250000000000000000000000000 34031440181689654606762847/7812500000000000000000000 331170046442250859025959477/500000000000000000000000000 343015627423827317233388579/250000000000000000000000000
212149113899570874497276459/100000000000000000000000000 331170046442250859025959477/500000000000000000000000000 1109564921804730671401620423/250000000000000000000000000 -152001839298672438060108163/500000000000000000000000000
-110109982816600492120685661/125000000000000000000000000 343015627423827317233388579/250000000000000000000000000 -152001839298672438060108163/500000000000000000000000000 172709885259937297657651797/20000000000000000000000000


--- 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 :
32900015268633100935062289/12500000000000000000000000 -23836422922611896884056243/250000000000000000000000000 88532047692434750823194787/200000000000000000000000000 -165527098488064373634590853/1000000000000000000000000000 -345090230178788666986603683/1000000000000000000000000000 -18720083245535023133037451/200000000000000000000000000 33624941256669576380892141/200000000000000000000000000 -152861090952997997121107979/250000000000000000000000000 -259946267885423284696534691/500000000000000000000000000 -810480750398999939608696433/1000000000000000000000000000
-23836422922611896884056243/250000000000000000000000000 593475528333077854571949883/200000000000000000000000000 43326072136033222538722207/31250000000000000000000000 -632012047804740668131004737/500000000000000000000000000 -391343887092758164777723403/1000000000000000000000000000 -339182971162700394075836957/1000000000000000000000000000 82852194937770558344457721/1000000000000000000000000000 -61101391984132347752126623/62500000000000000000000000 -697203567772094502164650309/1000000000000000000000000000 -152426510927491237805110119/1000000000000000000000000000
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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 :
3269416149577410492782606503/1000000000000000000000000000 -785101523307513191885423929/1000000000000000000000000000 702570063469294366627080277/1000000000000000000000000000 -73311349201439838042481603/1000000000000000000000000000 162765493320485713972378221/1000000000000000000000000000 328923986443391349539998169/1000000000000000000000000000
-785101523307513191885423929/1000000000000000000000000000 1291641727447398827881956437/1000000000000000000000000000 -139993664212781016241491637/1000000000000000000000000000 43493015459833466130204159/1000000000000000000000000000 -4291915314183452759703189/200000000000000000000000000 -2850188823656853647104473/40000000000000000000000000
702570063469294366627080277/1000000000000000000000000000 -139993664212781016241491637/1000000000000000000000000000 1513011604869419664945595569/250000000000000000000000000 -63036232645823298656888181/1000000000000000000000000000 24280934569804678363626063/100000000000000000000000000 62358677556280080367715199/125000000000000000000000000
-73311349201439838042481603/1000000000000000000000000000 43493015459833466130204159/1000000000000000000000000000 -63036232645823298656888181/1000000000000000000000000000 1704577226922755499792247981/1000000000000000000000000000 -579151160587562365268730477/1000000000000000000000000000 88919692995745132714303579/1000000000000000000000000000
162765493320485713972378221/1000000000000000000000000000 -4291915314183452759703189/200000000000000000000000000 24280934569804678363626063/100000000000000000000000000 -579151160587562365268730477/1000000000000000000000000000 325499635210237189389290943/250000000000000000000000000 14126345529562572276534273/100000000000000000000000000
328923986443391349539998169/1000000000000000000000000000 -2850188823656853647104473/40000000000000000000000000 62358677556280080367715199/125000000000000000000000000 88919692995745132714303579/1000000000000000000000000000 14126345529562572276534273/100000000000000000000000000 93325303221222780681154253/31250000000000000000000000


--- 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 :
103817964651484748168260589/125000000000000000000000000 0/1 -119340804298288806938932547/1000000000000000000000000000 -3471266449133549222161043/125000000000000000000000000 -74069175488141821096182407/500000000000000000000000000 -12873129901275374029181657/125000000000000000000000000 0/1 -246504305837847582801651/500000000000000000000000000 -143107422145202908290102277/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-119340804298288806938932547/1000000000000000000000000000 0/1 175155339964864880089581147/200000000000000000000000000 -130771195287823430687626863/1000000000000000000000000000 -113735316121720810224744289/1000000000000000000000000000 -480020560423441310772981/31250000000000000000000000 0/1 -37457969000260208518267357/500000000000000000000000000 -53330065965669474113297809/1000000000000000000000000000
-3471266449133549222161043/125000000000000000000000000 0/1 -130771195287823430687626863/1000000000000000000000000000 375899054646823732187479817/1000000000000000000000000000 -45606711551638046628590051/1000000000000000000000000000 -187082362191719244684896671/1000000000000000000000000000 0/1 -46827716537500630626899089/1000000000000000000000000000 -310107214513674278441993/12500000000000000000000000
-74069175488141821096182407/500000000000000000000000000 0/1 -113735316121720810224744289/1000000000000000000000000000 -45606711551638046628590051/1000000000000000000000000000 1327655546378257619369518281/1000000000000000000000000000 -36460552312540719422917551/200000000000000000000000000 0/1 -29606468182106424868855819/1000000000000000000000000000 -407082745562211847924099/1953125000000000000000000
-12873129901275374029181657/125000000000000000000000000 0/1 -480020560423441310772981/31250000000000000000000000 -187082362191719244684896671/1000000000000000000000000000 -36460552312540719422917551/200000000000000000000000000 1244484793129695305694835123/1000000000000000000000000000 0/1 -27195634265442539402571401/1000000000000000000000000000 -199620452996273691486505339/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-246504305837847582801651/500000000000000000000000000 0/1 -37457969000260208518267357/500000000000000000000000000 -46827716537500630626899089/1000000000000000000000000000 -29606468182106424868855819/1000000000000000000000000000 -27195634265442539402571401/1000000000000000000000000000 0/1 224088181728958940940950877/1000000000000000000000000000 -102476784760120303155633893/1000000000000000000000000000
-143107422145202908290102277/1000000000000000000000000000 0/1 -53330065965669474113297809/1000000000000000000000000000 -310107214513674278441993/12500000000000000000000000 -407082745562211847924099/1953125000000000000000000 -199620452996273691486505339/1000000000000000000000000000 0/1 -102476784760120303155633893/1000000000000000000000000000 357272730723400970646487673/250000000000000000000000000


--- 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 20614124979076772014208847/12500000000000000000000000 -734539373022835981137209/50000000000000000000000000 7345393890593835181989213/500000000000000000000000000 -7345395793721235394274129/500000000000000000000000000 57161320308336533/100000000000000000000000000 -8973834952961877476932987/250000000000000000000000000
0/1 -734539373022835981137209/50000000000000000000000000 4344735227379369870555678423/1000000000000000000000000000 -743959460823904289830794227/500000000000000000000000000 -190384972611588702345817953/100000000000000000000000000 -30477819352869655904909423/250000000000000000000000000 13829339220944339277070503/200000000000000000000000000
0/1 7345393890593835181989213/500000000000000000000000000 -743959460823904289830794227/500000000000000000000000000 2172367611004785856448965409/500000000000000000000000000 -29780205580313322542843717/31250000000000000000000000 60955639942976841594162529/500000000000000000000000000 -34573347963838716950697783/500000000000000000000000000
0/1 -7345395793721235394274129/500000000000000000000000000 -190384972611588702345817953/100000000000000000000000000 -29780205580313322542843717/31250000000000000000000000 4344735225272463810097819647/1000000000000000000000000000 121911280511412371984617279/1000000000000000000000000000 1728667442193794292696807/25000000000000000000000000
0/1 57161320308336533/100000000000000000000000000 -30477819352869655904909423/250000000000000000000000000 60955639942976841594162529/500000000000000000000000000 121911280511412371984617279/1000000000000000000000000000 2944343915650764436644575547/1000000000000000000000000000 -734221524919767001/250000000000000000000000000
0/1 -8973834952961877476932987/250000000000000000000000000 13829339220944339277070503/200000000000000000000000000 -34573347963838716950697783/500000000000000000000000000 1728667442193794292696807/25000000000000000000000000 -734221524919767001/250000000000000000000000000 881743740970491783826286861/1000000000000000000000000000


--- 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 :
36365086266849296779481/16000000000000000000000 -88125747975248832262861101/250000000000000000000000000 -244061796212786426921177927/1000000000000000000000000000 -3888799696262543651374609/250000000000000000000000000 -219186654159764252791131519/1000000000000000000000000000 -14674154850386843086898357/250000000000000000000000000 7905023001968094775232061/1000000000000000000000000000 5226123173499503750677813/1000000000000000000000000000 -22255095785819585109904729/125000000000000000000000000 15376452119043497259835713/500000000000000000000000000 -95799040361305731386062799/250000000000000000000000000 -140164622153588223304151741/500000000000000000000000000
-88125747975248832262861101/250000000000000000000000000 1239318014898360411086219481/250000000000000000000000000 -452344402220089064336665881/1000000000000000000000000000 39624331456512464633212177/500000000000000000000000000 -540143070684228412270233699/1000000000000000000000000000 -37520454764820441446284191/500000000000000000000000000 -150420858448144060561111/100000000000000000000000000 -42599330998310327419137907/500000000000000000000000000 -8130684413007541490565559/20000000000000000000000000 -171370983641581481165317/15625000000000000000000000 -37010255929556772844976667/50000000000000000000000000 -415443929969058612134176973/1000000000000000000000000000
-244061796212786426921177927/1000000000000000000000000000 -452344402220089064336665881/1000000000000000000000000000 2375255583195598470624672259/1000000000000000000000000000 -129011731382214781334320009/250000000000000000000000000 2269313692019203962700523/500000000000000000000000000 -35836355867527125897657979/1000000000000000000000000000 25400990160415931519139409/1000000000000000000000000000 23974468308399887667111687/250000000000000000000000000 -333684778201355707933108271/1000000000000000000000000000 -37112574239643057830538863/250000000000000000000000000 -5253387193287426292710879/31250000000000000000000000 -89302963945535340195659037/500000000000000000000000000
-3888799696262543651374609/250000000000000000000000000 39624331456512464633212177/500000000000000000000000000 -129011731382214781334320009/250000000000000000000000000 1074049838654956410732080223/500000000000000000000000000 -544259069574182427265727/1250000000000000000000000 31664276009005537191597627/500000000000000000000000000 -61113086751692736914284797/1000000000000000000000000000 -114242461205083637284931659/1000000000000000000000000000 -417555316787892037830179761/500000000000000000000000000 -8654488142021205270615953/62500000000000000000000000 -78945707274815392720947097/250000000000000000000000000 63035240572497364027933317/200000000000000000000000000
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7905023001968094775232061/1000000000000000000000000000 -150420858448144060561111/100000000000000000000000000 25400990160415931519139409/1000000000000000000000000000 -61113086751692736914284797/1000000000000000000000000000 65726763429976874993907807/1000000000000000000000000000 -1608031982927388627858631/50000000000000000000000000 32492909798963823874515763/1000000000000000000000000000 529332482124894799027981/20000000000000000000000000 12969060739647354726505719/250000000000000000000000000 790366825963185713622057/1000000000000000000000000000 44475573784477879582671549/1000000000000000000000000000 -4273094868059208950165949/25000000000000000000000000
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-22255095785819585109904729/125000000000000000000000000 -8130684413007541490565559/20000000000000000000000000 -333684778201355707933108271/1000000000000000000000000000 -417555316787892037830179761/500000000000000000000000000 224494222234875889495731693/1000000000000000000000000000 -41597393405098346959258639/500000000000000000000000000 12969060739647354726505719/250000000000000000000000000 31245567772078565952127963/250000000000000000000000000 231028382441288547039225651/125000000000000000000000000 -71503686564070574606075437/500000000000000000000000000 4840317930973314404312699/500000000000000000000000000 -435314209489964254144443711/1000000000000000000000000000
15376452119043497259835713/500000000000000000000000000 -171370983641581481165317/15625000000000000000000000 -37112574239643057830538863/250000000000000000000000000 -8654488142021205270615953/62500000000000000000000000 6044163348770724638395463/1000000000000000000000000000 -12569612905118797959032479/1000000000000000000000000000 790366825963185713622057/1000000000000000000000000000 -70259363933167898487479973/500000000000000000000000000 -71503686564070574606075437/500000000000000000000000000 233228524508199664928846807/500000000000000000000000000 -19584343891537297490506719/1000000000000000000000000000 -15484372072779819451596949/500000000000000000000000000
-95799040361305731386062799/250000000000000000000000000 -37010255929556772844976667/50000000000000000000000000 -5253387193287426292710879/31250000000000000000000000 -78945707274815392720947097/250000000000000000000000000 -214217032741687416137237233/1000000000000000000000000000 -18198760336873144762070101/250000000000000000000000000 44475573784477879582671549/1000000000000000000000000000 4110973013107655075752233/500000000000000000000000000 4840317930973314404312699/500000000000000000000000000 -19584343891537297490506719/1000000000000000000000000000 3423673776016676940369543259/1000000000000000000000000000 -66236963357216829988906507/125000000000000000000000000
-140164622153588223304151741/500000000000000000000000000 -415443929969058612134176973/1000000000000000000000000000 -89302963945535340195659037/500000000000000000000000000 63035240572497364027933317/200000000000000000000000000 -529917761509570775750752719/1000000000000000000000000000 45152825083968006479782821/250000000000000000000000000 -4273094868059208950165949/25000000000000000000000000 -30157527396440088925774787/100000000000000000000000000 -435314209489964254144443711/1000000000000000000000000000 -15484372072779819451596949/500000000000000000000000000 -66236963357216829988906507/125000000000000000000000000 1168307733062330765762816651/500000000000000000000000000


--- Term 15 ---

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

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

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

Matrix :
7496820620415355784068634631/1000000000000000000000000000 748432118242829904866438711/500000000000000000000000000 5506171639786213509028257/250000000000000000000000000 -303515941957840003048026097/1000000000000000000000000000
748432118242829904866438711/500000000000000000000000000 2934866600011189630506624581/500000000000000000000000000 19436748558192436942094259/62500000000000000000000000 202045246216290681284061099/500000000000000000000000000
5506171639786213509028257/250000000000000000000000000 19436748558192436942094259/62500000000000000000000000 221559128805586295420449269/62500000000000000000000000 85690492622610659256713817/250000000000000000000000000
-303515941957840003048026097/1000000000000000000000000000 202045246216290681284061099/500000000000000000000000000 85690492622610659256713817/250000000000000000000000000 328276485118623706040862637/200000000000000000000000000


--- 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 :
14811367649934649513211829/12500000000000000000000000 -16603238628758044592401079/250000000000000000000000000 -10388549865161794627923467/250000000000000000000000000 -9494693289334096853682171/250000000000000000000000000 -16289404592089598191852727/1000000000000000000000000000 -47806978829203293868355911/250000000000000000000000000
-16603238628758044592401079/250000000000000000000000000 242533782739775926579044197/500000000000000000000000000 -60858921932421650447673701/500000000000000000000000000 -16427956090384128211173831/250000000000000000000000000 -28211760723380052551652507/1000000000000000000000000000 -11920625462485539581656893/250000000000000000000000000
-10388549865161794627923467/250000000000000000000000000 -60858921932421650447673701/500000000000000000000000000 30423477216682996700205869/100000000000000000000000000 -302995798887654139663871/62500000000000000000000000 -2067669517816183757711747/125000000000000000000000000 -7346213407456562085803547/250000000000000000000000000
-9494693289334096853682171/250000000000000000000000000 -16427956090384128211173831/250000000000000000000000000 -302995798887654139663871/62500000000000000000000000 95815808238559312464067763/250000000000000000000000000 -14714611960416149692389713/500000000000000000000000000 -14798557461707423235970303/250000000000000000000000000
-16289404592089598191852727/1000000000000000000000000000 -28211760723380052551652507/1000000000000000000000000000 -2067669517816183757711747/125000000000000000000000000 -14714611960416149692389713/500000000000000000000000000 54003819137300545100041999/1000000000000000000000000000 15689101030671657175323/50000000000000000000000000
-47806978829203293868355911/250000000000000000000000000 -11920625462485539581656893/250000000000000000000000000 -7346213407456562085803547/250000000000000000000000000 -14798557461707423235970303/250000000000000000000000000 15689101030671657175323/50000000000000000000000000 228371012668811946786126187/1000000000000000000000000000


--- 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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