#Density : 2822149319925093360816177317/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 11, 13, 14, 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 :
1690632151334298826114067/500000000000000000000000000 6622069448179642322872489/250000000000000000000000000 -10196995620072597881892551/500000000000000000000000000 -1149880038083414649288519/62500000000000000000000000 161380796497521233314687/15625000000000000000000000 -161380796497521233314687/15625000000000000000000000
6622069448179642322872489/250000000000000000000000000 110398622742755963016344471/500000000000000000000000000 -79881614838076172806878167/500000000000000000000000000 -15352661562712981723804101/100000000000000000000000000 2784327832721294997065633/31250000000000000000000000 -2784327832721294997065633/31250000000000000000000000
-10196995620072597881892551/500000000000000000000000000 -79881614838076172806878167/500000000000000000000000000 30751432117778117935840339/250000000000000000000000000 55483727574361148725691271/500000000000000000000000000 -243340822890549788631037/3906250000000000000000000 243340822890549788631037/3906250000000000000000000
-1149880038083414649288519/62500000000000000000000000 -15352661562712981723804101/100000000000000000000000000 55483727574361148725691271/500000000000000000000000000 53605366243929561027173607/500000000000000000000000000 -1540432472441654751233559/25000000000000000000000000 1540432472441654751233559/25000000000000000000000000
161380796497521233314687/15625000000000000000000000 2784327832721294997065633/31250000000000000000000000 -243340822890549788631037/3906250000000000000000000 -1540432472441654751233559/25000000000000000000000000 4611615521797211161368101/125000000000000000000000000 -4611615521797211161368101/125000000000000000000000000
-161380796497521233314687/15625000000000000000000000 -2784327832721294997065633/31250000000000000000000000 243340822890549788631037/3906250000000000000000000 1540432472441654751233559/25000000000000000000000000 -4611615521797211161368101/125000000000000000000000000 4611615521797211161368101/125000000000000000000000000


--- 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 :
8379350060765569173453651/1000000000000000000000000000 -12190160253427164260835809/1000000000000000000000000000 -9208809584447351695265079/500000000000000000000000000 1125358602220036770648257/100000000000000000000000000 1922527220739713221555991/500000000000000000000000000 2150767744837115984685511/1000000000000000000000000000
-12190160253427164260835809/1000000000000000000000000000 7832860596250393523665363/200000000000000000000000000 -7655323510926850237242799/500000000000000000000000000 -7099339363408452327001863/500000000000000000000000000 -1015424603465014844810351/100000000000000000000000000 -6052107898884050759325653/1000000000000000000000000000
-9208809584447351695265079/500000000000000000000000000 -7655323510926850237242799/500000000000000000000000000 30888584310245173072993947/250000000000000000000000000 -3492542743351139845686059/125000000000000000000000000 -200064984019115069244409/125000000000000000000000000 -254429044002767879125369/500000000000000000000000000
1125358602220036770648257/100000000000000000000000000 -7099339363408452327001863/500000000000000000000000000 -3492542743351139845686059/125000000000000000000000000 1915511990068351077049141/100000000000000000000000000 -857587017822531261221517/500000000000000000000000000 -470204692161546542192343/125000000000000000000000000
1922527220739713221555991/500000000000000000000000000 -1015424603465014844810351/100000000000000000000000000 -200064984019115069244409/125000000000000000000000000 -857587017822531261221517/500000000000000000000000000 7728541608556051727981327/500000000000000000000000000 1350711647154452026056733/125000000000000000000000000
2150767744837115984685511/1000000000000000000000000000 -6052107898884050759325653/1000000000000000000000000000 -254429044002767879125369/500000000000000000000000000 -470204692161546542192343/125000000000000000000000000 1350711647154452026056733/125000000000000000000000000 2526163457736859936954629/200000000000000000000000000


--- 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 :
126743817328903633979309/500000000000000000000000000 -764451417352136003634321/500000000000000000000000000 796922544501193628357619/500000000000000000000000000 -590433126972690396629069/500000000000000000000000000
-764451417352136003634321/500000000000000000000000000 4610765099296261744278201/500000000000000000000000000 -961322739494795800222203/100000000000000000000000000 712235831229719795947077/100000000000000000000000000
796922544501193628357619/500000000000000000000000000 -961322739494795800222203/100000000000000000000000000 5462089534368337923243837/500000000000000000000000000 -4374448944349706459831427/500000000000000000000000000
-590433126972690396629069/500000000000000000000000000 712235831229719795947077/100000000000000000000000000 -4374448944349706459831427/500000000000000000000000000 3721582520988729965942717/500000000000000000000000000


--- 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 :
142452999906425057824599/500000000000000000000000000 142452999906425057824599/500000000000000000000000000 -142452999906425057824599/500000000000000000000000000
142452999906425057824599/500000000000000000000000000 142452999906425057824599/500000000000000000000000000 -142452999906425057824599/500000000000000000000000000
-142452999906425057824599/500000000000000000000000000 -142452999906425057824599/500000000000000000000000000 142452999906425057824599/500000000000000000000000000


--- 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 :
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 :
8859063382516539695111/12500000000000000000000000 -89148207001013940414943/50000000000000000000000000 10977298227027581453039/5000000000000000000000000
-89148207001013940414943/50000000000000000000000000 897092894400091882064759/200000000000000000000000000 -110463873256196461536007/20000000000000000000000000
10977298227027581453039/5000000000000000000000000 -110463873256196461536007/20000000000000000000000000 13602010863012121596311/2000000000000000000000000


--- 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 :
44122967/1000000000


--- 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 :
2131485825909331951617971899/1000000000000000000000000000 -343718810328850786579190187/500000000000000000000000000 -17279248489428912971273883/1000000000000000000000000000 94842263273042380712946613/1000000000000000000000000000 -638325999143968561380046277/1000000000000000000000000000 -5117426510891488617037559/62500000000000000000000000 749305438596871621934809/4000000000000000000000000 -509306514074785318700340643/1000000000000000000000000000 -74123994639128426129667643/200000000000000000000000000 -14348179770845844796358553/200000000000000000000000000 -162194523503007287749802661/250000000000000000000000000 29606685264845502792008129/40000000000000000000000000
-343718810328850786579190187/500000000000000000000000000 33174381856252890401948773/40000000000000000000000000 -158612381051811159566133399/1000000000000000000000000000 81533678960978977425013931/500000000000000000000000000 -6829375432420849922939961/100000000000000000000000000 5086606906391211033666683/40000000000000000000000000 57183819462915917456741597/125000000000000000000000000 182179287761101467558064219/1000000000000000000000000000 11590422190212980799244877/100000000000000000000000000 1181010807484785900265041/12500000000000000000000000 -11010764083271335458636603/200000000000000000000000000 -163448267311786985917972847/125000000000000000000000000
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29606685264845502792008129/40000000000000000000000000 -163448267311786985917972847/125000000000000000000000000 -107959279614814109231394627/200000000000000000000000000 508454749242286871469985981/1000000000000000000000000000 -851964074986293097838226573/500000000000000000000000000 46027186064763907536535259/200000000000000000000000000 -1327948828159870034027479299/250000000000000000000000000 234503426279274432765863491/500000000000000000000000000 153839263735341274193086303/500000000000000000000000000 101262137833061914452653813/1000000000000000000000000000 -366280134763477385250485997/200000000000000000000000000 10509478793442905886678979841/1000000000000000000000000000


--- 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 :
2725902623990236330553216091/1000000000000000000000000000 3090293394233473746072211/20000000000000000000000000 494990635046292011777998603/1000000000000000000000000000 -440161839398413642968937697/1000000000000000000000000000
3090293394233473746072211/20000000000000000000000000 364185986044004049257834467/250000000000000000000000000 41691874967581567117388367/125000000000000000000000000 41885383620576979920288939/100000000000000000000000000
494990635046292011777998603/1000000000000000000000000000 41691874967581567117388367/125000000000000000000000000 1023380777553655620651204671/1000000000000000000000000000 67558499798001176480391941/250000000000000000000000000
-440161839398413642968937697/1000000000000000000000000000 41885383620576979920288939/100000000000000000000000000 67558499798001176480391941/250000000000000000000000000 2667552658359735703599345119/1000000000000000000000000000


--- 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 :
5842367967385948450411910951/1000000000000000000000000000 -391392315825656578499789167/1000000000000000000000000000 -26875286738322589307464901/100000000000000000000000000 63199331605344932648346949/50000000000000000000000000 35114890328155428565566219/1000000000000000000000000000 294225699009993333584038699/1000000000000000000000000000 -223868660671396852799379033/1000000000000000000000000000 -76700727507963128395977851/250000000000000000000000000 -1019740105416250625147675389/250000000000000000000000000 -218062415799676726514191427/200000000000000000000000000
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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 :
877222834611810954976195763/1000000000000000000000000000 -7620773840072493102697753/500000000000000000000000000 3190201202058821701866789/15625000000000000000000000 -17860667785307772423058463/125000000000000000000000000 11245746779888948781505477/1000000000000000000000000000 366035865984253943590125833/1000000000000000000000000000
-7620773840072493102697753/500000000000000000000000000 122876561642801098681176841/125000000000000000000000000 27165773915699805390991/976562500000000000000000 22057174281489578606643313/250000000000000000000000000 -3768577077105035247471131/250000000000000000000000000 -127381038509665314309330481/250000000000000000000000000
3190201202058821701866789/15625000000000000000000000 27165773915699805390991/976562500000000000000000 548896287355070281245208797/250000000000000000000000000 -39221233182118522636025413/125000000000000000000000000 8131441819752010903188991/250000000000000000000000000 129515736793543942782171187/125000000000000000000000000
-17860667785307772423058463/125000000000000000000000000 22057174281489578606643313/250000000000000000000000000 -39221233182118522636025413/125000000000000000000000000 472264926170070191693014009/500000000000000000000000000 -14405267976265375491576243/500000000000000000000000000 -464990550131546542759656083/500000000000000000000000000
11245746779888948781505477/1000000000000000000000000000 -3768577077105035247471131/250000000000000000000000000 8131441819752010903188991/250000000000000000000000000 -14405267976265375491576243/500000000000000000000000000 3549553414891451272830519/500000000000000000000000000 13601814963094234573305611/100000000000000000000000000
366035865984253943590125833/1000000000000000000000000000 -127381038509665314309330481/250000000000000000000000000 129515736793543942782171187/125000000000000000000000000 -464990550131546542759656083/500000000000000000000000000 13601814963094234573305611/100000000000000000000000000 446102216713344093356416309/100000000000000000000000000


--- 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 :
1175163854606025997393297873/500000000000000000000000000 559873576282013033358923953/500000000000000000000000000 153578736489136279812262927/1000000000000000000000000000 -34450034951729078665606687/500000000000000000000000000 -223848876564467612444662097/125000000000000000000000000 -50653872651480725631787939/50000000000000000000000000 -549340014381917560697669577/1000000000000000000000000000 -89124595237917265664792289/200000000000000000000000000 -313269108165653113997173871/500000000000000000000000000
559873576282013033358923953/500000000000000000000000000 553897511542550990037935899/1000000000000000000000000000 61960220195400495519453147/1000000000000000000000000000 -41802212856193661007770193/1000000000000000000000000000 -892478558755939075372001493/1000000000000000000000000000 -501003367521036402795957177/1000000000000000000000000000 -44427963676327127478115539/200000000000000000000000000 -44395252410881583273646619/200000000000000000000000000 -35181012307556088997112333/125000000000000000000000000
153578736489136279812262927/1000000000000000000000000000 61960220195400495519453147/1000000000000000000000000000 218663607716941279913328343/500000000000000000000000000 -55375130661545190831438043/1000000000000000000000000000 -92128269373178488173308537/1000000000000000000000000000 -57212792583439044743168611/1000000000000000000000000000 -28806503667883009583011827/500000000000000000000000000 -18576225805555555317915853/200000000000000000000000000 -13791171097749246309502811/250000000000000000000000000
-34450034951729078665606687/500000000000000000000000000 -41802212856193661007770193/1000000000000000000000000000 -55375130661545190831438043/1000000000000000000000000000 100910456112545635892815731/1000000000000000000000000000 14578252277121954118583783/200000000000000000000000000 36335372590293251993216709/1000000000000000000000000000 -1289761224124821852960279/1000000000000000000000000000 -7357593749967629471846011/1000000000000000000000000000 787362910700013403412699/125000000000000000000000000
-223848876564467612444662097/125000000000000000000000000 -892478558755939075372001493/1000000000000000000000000000 -92128269373178488173308537/1000000000000000000000000000 14578252277121954118583783/200000000000000000000000000 1467046789207684475891094737/1000000000000000000000000000 798137440584742676083067329/1000000000000000000000000000 342397255946486065638606599/1000000000000000000000000000 355203410067129994856567387/1000000000000000000000000000 101262541173341238863422493/250000000000000000000000000
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-549340014381917560697669577/1000000000000000000000000000 -44427963676327127478115539/200000000000000000000000000 -28806503667883009583011827/500000000000000000000000000 -1289761224124821852960279/1000000000000000000000000000 342397255946486065638606599/1000000000000000000000000000 201227424314608288639044401/1000000000000000000000000000 102542158600890532618437757/500000000000000000000000000 85414536616082785877406927/1000000000000000000000000000 8973690882320720005383839/50000000000000000000000000
-89124595237917265664792289/200000000000000000000000000 -44395252410881583273646619/200000000000000000000000000 -18576225805555555317915853/200000000000000000000000000 -7357593749967629471846011/1000000000000000000000000000 355203410067129994856567387/1000000000000000000000000000 201279974474841325349499423/1000000000000000000000000000 85414536616082785877406927/1000000000000000000000000000 2428730677281512337736857/12500000000000000000000000 57518472432416708433789231/500000000000000000000000000
-313269108165653113997173871/500000000000000000000000000 -35181012307556088997112333/125000000000000000000000000 -13791171097749246309502811/250000000000000000000000000 787362910700013403412699/125000000000000000000000000 101262541173341238863422493/250000000000000000000000000 6701360311387582452828511/25000000000000000000000000 8973690882320720005383839/50000000000000000000000000 57518472432416708433789231/500000000000000000000000000 59805487064073973516369577/250000000000000000000000000


--- 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 :
261692175761768643552085011/500000000000000000000000000 -22358548554433113/250000000000000000000000000 -20870305456423312314969639/200000000000000000000000000 26087881409316467194202931/250000000000000000000000000 104351528023496893588513393/1000000000000000000000000000 9131884124647808223823827/1000000000000000000000000000 8848288961250113/50000000000000000000000000
-22358548554433113/250000000000000000000000000 995009525668456283605778849/1000000000000000000000000000 -51774556569039119757243/1953125000000000000000000 1060343116119350773824603/40000000000000000000000000 -13254288774086281899664329/500000000000000000000000000 -90112055514405173/100000000000000000000000000 14991459531739939533957139/500000000000000000000000000
-20870305456423312314969639/200000000000000000000000000 -51774556569039119757243/1953125000000000000000000 301063628690114226874131847/250000000000000000000000000 -233753943787140084601254289/500000000000000000000000000 -542824708709318868701348911/1000000000000000000000000000 -26438046599722267806942069/250000000000000000000000000 6263915033845078118532013/125000000000000000000000000
26087881409316467194202931/250000000000000000000000000 1060343116119350773824603/40000000000000000000000000 -233753943787140084601254289/500000000000000000000000000 1204254507588632125896567601/1000000000000000000000000000 -24240243376915784145927461/125000000000000000000000000 26438046833107230119561277/250000000000000000000000000 -5011132185378300727933801/100000000000000000000000000
104351528023496893588513393/1000000000000000000000000000 -13254288774086281899664329/500000000000000000000000000 -542824708709318868701348911/1000000000000000000000000000 -24240243376915784145927461/125000000000000000000000000 602127271642214388725679727/500000000000000000000000000 105752189189983184296012403/1000000000000000000000000000 25055661701851707712216603/500000000000000000000000000
9131884124647808223823827/1000000000000000000000000000 -90112055514405173/100000000000000000000000000 -26438046599722267806942069/250000000000000000000000000 26438046833107230119561277/250000000000000000000000000 105752189189983184296012403/1000000000000000000000000000 970610765019604090573818603/1000000000000000000000000000 68549612344946713/100000000000000000000000000
8848288961250113/50000000000000000000000000 14991459531739939533957139/500000000000000000000000000 6263915033845078118532013/125000000000000000000000000 -5011132185378300727933801/100000000000000000000000000 25055661701851707712216603/500000000000000000000000000 68549612344946713/100000000000000000000000000 218035018308890621741771297/500000000000000000000000000


--- Term 14 ---

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

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

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

Matrix :
65454000478857179713275243/50000000000000000000000000 -37476312727448783916746887/200000000000000000000000000 -11902640706838760838036141/250000000000000000000000000 -31834279993556779568223549/200000000000000000000000000 -127840176078470638019021527/500000000000000000000000000 -20230509926834855290626749/100000000000000000000000000 497722496465438927104560347/1000000000000000000000000000 -3848149027394083530892523/20000000000000000000000000 72158431283489796578955379/500000000000000000000000000 -105845949605328434899148621/500000000000000000000000000 -148876683929349966509303379/500000000000000000000000000 -66550681943265317321422417/1000000000000000000000000000
-37476312727448783916746887/200000000000000000000000000 1169865971829497614625635937/1000000000000000000000000000 29570596551547506318362697/1000000000000000000000000000 -53160008026164499262922441/250000000000000000000000000 575852769721156275248190289/1000000000000000000000000000 -117756526835925900128526097/500000000000000000000000000 -48093559854635588891653329/250000000000000000000000000 16031161348342259627998819/250000000000000000000000000 96077906755089358259558639/500000000000000000000000000 -140932350141417027824334613/500000000000000000000000000 241267043770201482144503403/1000000000000000000000000000 -162037510795265586616498497/500000000000000000000000000
-11902640706838760838036141/250000000000000000000000000 29570596551547506318362697/1000000000000000000000000000 549984914883408260932755699/500000000000000000000000000 -92161090987636822207348979/200000000000000000000000000 302559598799283938496707363/500000000000000000000000000 -534069552757797036646684481/1000000000000000000000000000 30827289791081903369812053/200000000000000000000000000 49777649853974844743707523/500000000000000000000000000 104082836734616524927845057/250000000000000000000000000 -19084302559473532473991657/31250000000000000000000000 171144099176701687693503711/500000000000000000000000000 -507213778289181537963001897/1000000000000000000000000000
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-66550681943265317321422417/1000000000000000000000000000 -162037510795265586616498497/500000000000000000000000000 -507213778289181537963001897/1000000000000000000000000000 260822714617053424362319329/500000000000000000000000000 -1432039139957951627660358999/1000000000000000000000000000 576060285353480636403443653/1000000000000000000000000000 18712298079028662778303469/40000000000000000000000000 -11477238023531811382134591/31250000000000000000000000 -29535579886682874755359461/62500000000000000000000000 346595284540820253308210463/500000000000000000000000000 -204750814600181551480060511/250000000000000000000000000 822230580103830876467426821/1000000000000000000000000000


--- 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 :
2523632345819301886371809559/1000000000000000000000000000 85463674858035426581224781/1000000000000000000000000000 22273484324725232681688131/50000000000000000000000000 4056074219775374038959171/100000000000000000000000000
85463674858035426581224781/1000000000000000000000000000 197180962973824287631819113/500000000000000000000000000 1244360422308704275453270113/1000000000000000000000000000 342294815914008451087031197/1000000000000000000000000000
22273484324725232681688131/50000000000000000000000000 1244360422308704275453270113/1000000000000000000000000000 6243355754267518411289283727/1000000000000000000000000000 325945556364782333005774859/500000000000000000000000000
4056074219775374038959171/100000000000000000000000000 342294815914008451087031197/1000000000000000000000000000 325945556364782333005774859/500000000000000000000000000 382525030640231984207795869/1000000000000000000000000000


--- 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 :
139206499935903237850985873/1000000000000000000000000000 139206499935903237850985873/1000000000000000000000000000 22422629256369044521573023/500000000000000000000000000 139206499935903237850985873/1000000000000000000000000000 -10526510306777982569497857/100000000000000000000000000 -139206499935903237850985873/1000000000000000000000000000
139206499935903237850985873/1000000000000000000000000000 139206499935903237850985873/1000000000000000000000000000 22422629256369044521573023/500000000000000000000000000 139206499935903237850985873/1000000000000000000000000000 -10526510306777982569497857/100000000000000000000000000 -139206499935903237850985873/1000000000000000000000000000
22422629256369044521573023/500000000000000000000000000 22422629256369044521573023/500000000000000000000000000 13630856886506092882163103/250000000000000000000000000 22422629256369044521573023/500000000000000000000000000 -1725398641527159713329557/50000000000000000000000000 -22422629256369044521573023/500000000000000000000000000
139206499935903237850985873/1000000000000000000000000000 139206499935903237850985873/1000000000000000000000000000 22422629256369044521573023/500000000000000000000000000 139206499935903237850985873/1000000000000000000000000000 -10526510306777982569497857/100000000000000000000000000 -139206499935903237850985873/1000000000000000000000000000
-10526510306777982569497857/100000000000000000000000000 -10526510306777982569497857/100000000000000000000000000 -1725398641527159713329557/50000000000000000000000000 -10526510306777982569497857/100000000000000000000000000 20097941871874054546249719/250000000000000000000000000 10526510306777982569497857/100000000000000000000000000
-139206499935903237850985873/1000000000000000000000000000 -139206499935903237850985873/1000000000000000000000000000 -22422629256369044521573023/500000000000000000000000000 -139206499935903237850985873/1000000000000000000000000000 10526510306777982569497857/100000000000000000000000000 139206499935903237850985873/1000000000000000000000000000


--- 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 :
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 145355561222028502148733071/500000000000000000000000000 -79713747608311231478950117/500000000000000000000000000 -1641045358305949021428749/25000000000000000000000000 0/1 -8067535730879527577802889/500000000000000000000000000 1008441962868188988046259/62500000000000000000000000 -201688400511444924002501/12500000000000000000000000
0/1 0/1 0/1 -79713747608311231478950117/500000000000000000000000000 145355561528966559639926223/500000000000000000000000000 -16410453386017736440571071/250000000000000000000000000 0/1 504220979529341665511627/31250000000000000000000000 -8067535649799339938895727/500000000000000000000000000 4033767976362567614027489/250000000000000000000000000
0/1 0/1 0/1 -1641045358305949021428749/25000000000000000000000000 -16410453386017736440571071/250000000000000000000000000 145355561711662714063620761/500000000000000000000000000 0/1 -2016883911046151039913221/125000000000000000000000000 806753559926721986935009/50000000000000000000000000 504220998587896612612259/31250000000000000000000000
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 -8067535730879527577802889/500000000000000000000000000 504220979529341665511627/31250000000000000000000000 -2016883911046151039913221/125000000000000000000000000 0/1 6137746657253260880321029/200000000000000000000000000 -29063515425236553398253143/1000000000000000000000000000 -406304486643149987017279/500000000000000000000000000
0/1 0/1 0/1 1008441962868188988046259/62500000000000000000000000 -8067535649799339938895727/500000000000000000000000000 806753559926721986935009/50000000000000000000000000 0/1 -29063515425236553398253143/1000000000000000000000000000 30688733303016314709538513/1000000000000000000000000000 -203152234105700072775043/250000000000000000000000000
0/1 0/1 0/1 -201688400511444924002501/12500000000000000000000000 4033767976362567614027489/250000000000000000000000000 504220998587896612612259/31250000000000000000000000 0/1 -406304486643149987017279/500000000000000000000000000 -203152234105700072775043/250000000000000000000000000 15344366988688901730253747/500000000000000000000000000


--- 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 :
10456015991767407405948323/62500000000000000000000000 -3962136141783959710894267/31250000000000000000000000 -4881442413174590905264271/125000000000000000000000000 -105218242236250570007515259/250000000000000000000000000 1910685800909556574912441/25000000000000000000000000 64780440511245196949541813/125000000000000000000000000
-3962136141783959710894267/31250000000000000000000000 24022186375217462093244153/250000000000000000000000000 7398970860222223661542811/250000000000000000000000000 79741461885189806671831417/250000000000000000000000000 -1448046230886375365042449/25000000000000000000000000 -196379902121327919274981001/500000000000000000000000000
-4881442413174590905264271/125000000000000000000000000 7398970860222223661542811/250000000000000000000000000 569731340596199297288073/62500000000000000000000000 49121653093884917941562193/500000000000000000000000000 -892013051001186749948047/50000000000000000000000000 -60486133553105624776891577/500000000000000000000000000
-105218242236250570007515259/250000000000000000000000000 79741461885189806671831417/250000000000000000000000000 49121653093884917941562193/500000000000000000000000000 1058804664032936711923291287/1000000000000000000000000000 -3845422608249603340064081/20000000000000000000000000 -81485195786448349506891623/62500000000000000000000000
1910685800909556574912441/25000000000000000000000000 -1448046230886375365042449/25000000000000000000000000 -892013051001186749948047/50000000000000000000000000 -3845422608249603340064081/20000000000000000000000000 6574991322894502550274043/50000000000000000000000000 1183768922825921520540039/5000000000000000000000000
64780440511245196949541813/125000000000000000000000000 -196379902121327919274981001/500000000000000000000000000 -60486133553105624776891577/500000000000000000000000000 -81485195786448349506891623/62500000000000000000000000 1183768922825921520540039/5000000000000000000000000 1605393670451581514191801477/1000000000000000000000000000


--- 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 :
178628199597919228639929651/500000000000000000000000000 -59711945392585507007519597/200000000000000000000000000 -14674168276956436361034523/500000000000000000000000000 -146215694979755357457816313/500000000000000000000000000 146215694840102111151898441/500000000000000000000000000 -58486278210546951101934407/200000000000000000000000000 -14674168052485062569176347/250000000000000000000000000 -57306666173554632238030747/1000000000000000000000000000 18281114882892093070717229/500000000000000000000000000 10372218706833168182022233/1000000000000000000000000000
-59711945392585507007519597/200000000000000000000000000 22328524973784309743710511/62500000000000000000000000 -2934833671062652287078099/100000000000000000000000000 73107847902691914765058061/250000000000000000000000000 -292431391108296051528569371/1000000000000000000000000000 1462156952754455058415481/5000000000000000000000000 -14674168202999760221636883/250000000000000000000000000 285642417161375312026473/7812500000000000000000000 -28653333021030427464209663/500000000000000000000000000 10372218823764350234497421/1000000000000000000000000000
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-14674168052485062569176347/250000000000000000000000000 -14674168202999760221636883/250000000000000000000000000 58696672403908884633577177/1000000000000000000000000000 1028229381748349727/1000000000000000000000000000 -728414659719682159/1000000000000000000000000000 -1817193703724294749/1000000000000000000000000000 117393345193346247480553781/1000000000000000000000000000 5186108991413925036203853/250000000000000000000000000 2074443712693772933626777/100000000000000000000000000 -1037221880452492893106849/50000000000000000000000000
-57306666173554632238030747/1000000000000000000000000000 285642417161375312026473/7812500000000000000000000 10372217060760686691649777/1000000000000000000000000000 -20725524781469125469277251/1000000000000000000000000000 5181380572703692834077013/250000000000000000000000000 -4145104715405982789916523/200000000000000000000000000 5186108991413925036203853/250000000000000000000000000 792268741229226664779117701/1000000000000000000000000000 -214952899302887483201697181/500000000000000000000000000 -90590735563423411916215361/500000000000000000000000000
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10372218706833168182022233/1000000000000000000000000000 10372218823764350234497421/1000000000000000000000000000 -57306667494827212347164847/1000000000000000000000000000 -20725523538932016510724949/1000000000000000000000000000 10362762667087341708692483/500000000000000000000000000 5181381062033320286802689/250000000000000000000000000 -1037221880452492893106849/50000000000000000000000000 -90590735563423411916215361/500000000000000000000000000 -22647683968420793144193747/125000000000000000000000000 792268747986985396804872627/1000000000000000000000000000

