#Density : 5374767215112676278573551459/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 9, 10, 12, 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 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 :
4492114333431353443025723/250000000000000000000000000 -5719325963596765810561027/125000000000000000000000000 9065829873156855935996471/100000000000000000000000000 -4045708137362368400482489/125000000000000000000000000 11023660386138688485958433/500000000000000000000000000 1070490735047589970634159/500000000000000000000000000
-5719325963596765810561027/125000000000000000000000000 4785452748164574778590241/31250000000000000000000000 -80883489839106898246873229/250000000000000000000000000 2923031839973080341055981/31250000000000000000000000 -15535516818251990155915189/250000000000000000000000000 806522179081059343491583/50000000000000000000000000
9065829873156855935996471/100000000000000000000000000 -80883489839106898246873229/250000000000000000000000000 691947697991553266605213959/1000000000000000000000000000 -47860470283636231928501391/250000000000000000000000000 126423945323190821217776177/1000000000000000000000000000 -43812719787596755133172341/1000000000000000000000000000
-4045708137362368400482489/125000000000000000000000000 2923031839973080341055981/31250000000000000000000000 -47860470283636231928501391/250000000000000000000000000 1927367166625208232152733/31250000000000000000000000 -10383745423273717924619327/250000000000000000000000000 674278749217733249335097/250000000000000000000000000
11023660386138688485958433/500000000000000000000000000 -15535516818251990155915189/250000000000000000000000000 126423945323190821217776177/1000000000000000000000000000 -10383745423273717924619327/250000000000000000000000000 28035370917351873613629219/1000000000000000000000000000 -909252192034620517139659/1000000000000000000000000000
1070490735047589970634159/500000000000000000000000000 806522179081059343491583/50000000000000000000000000 -43812719787596755133172341/1000000000000000000000000000 674278749217733249335097/250000000000000000000000000 -909252192034620517139659/1000000000000000000000000000 12972738076290512075647151/1000000000000000000000000000


--- 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 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 :
202588330011369241615321653/250000000000000000000000000 2139134909507891033461596927/1000000000000000000000000000 98269645357313513888703273/1000000000000000000000000000 -878132250418213984093918029/500000000000000000000000000 -408483068861894402121740601/1000000000000000000000000000 -362898306964455896495228523/1000000000000000000000000000 578636756316648203559456723/1000000000000000000000000000 85006545342886146798465891/100000000000000000000000000 -72559704231391134610566453/125000000000000000000000000 189537516860123723250101457/250000000000000000000000000 -287143587116405025157759401/500000000000000000000000000 -716967581956457652605633853/250000000000000000000000000
2139134909507891033461596927/1000000000000000000000000000 5964088981356105584400125709/1000000000000000000000000000 106100821957804800286818921/250000000000000000000000000 -2189472411368573466450442419/500000000000000000000000000 -1439091774105243656460540639/1000000000000000000000000000 -1722075429224444238870686787/1000000000000000000000000000 410319407252878613445806493/200000000000000000000000000 3898804333077112768406943441/1000000000000000000000000000 -2605257025479566595114089199/1000000000000000000000000000 948106487218180468183729491/500000000000000000000000000 -363641387258055666773918979/250000000000000000000000000 -8001803671657372913765561757/1000000000000000000000000000
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-716967581956457652605633853/250000000000000000000000000 -8001803671657372913765561757/1000000000000000000000000000 -976453232907282716940264813/1000000000000000000000000000 1793515915801091298894149067/250000000000000000000000000 1120776855021223559788300291/1000000000000000000000000000 2333344541047647572913304093/1000000000000000000000000000 -4769978630373455250249829153/1000000000000000000000000000 -55400979932993720354610013/25000000000000000000000000 980339034654296582379009437/500000000000000000000000000 -529852495455269580143484947/250000000000000000000000000 -5820919866035138694461559/500000000000000000000000000 3273379261867111274250767543/250000000000000000000000000


--- 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 :
61578469051765746325806947/40000000000000000000000000 42460639694110659760357509/50000000000000000000000000 110141229429506141419552689/100000000000000000000000000 87284885505757819337407781/100000000000000000000000000
42460639694110659760357509/50000000000000000000000000 5855637371294432761465107/12500000000000000000000000 15189293044428279605726403/25000000000000000000000000 12037233570370827306156669/25000000000000000000000000
110141229429506141419552689/100000000000000000000000000 15189293044428279605726403/25000000000000000000000000 39400428776639921788254879/50000000000000000000000000 31224110436260047673974143/50000000000000000000000000
87284885505757819337407781/100000000000000000000000000 12037233570370827306156669/25000000000000000000000000 31224110436260047673974143/50000000000000000000000000 10800503491300421401652599/5000000000000000000000000


--- 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 :
1445094719280680876651189173/1000000000000000000000000000 670539341707251763578918239/500000000000000000000000000 651812808507601776948414299/1000000000000000000000000000 188303652462207380658475549/200000000000000000000000000 -43042061823678053741869679/125000000000000000000000000 -44507519750996173282090303/500000000000000000000000000 -123480306951004805566713347/200000000000000000000000000 -1711725434269170631257973157/1000000000000000000000000000 -1492976320028841620019662721/1000000000000000000000000000 -64745224869422539350823/125000000000000000000000
670539341707251763578918239/500000000000000000000000000 417413223918193829408984231/200000000000000000000000000 1483539778007803848826954097/1000000000000000000000000000 27130859430551380571705499/100000000000000000000000000 -88382950330152668115484721/125000000000000000000000000 28684631911595171750791077/125000000000000000000000000 1066516814508353771880854707/1000000000000000000000000000 -1818255423982433151211121873/1000000000000000000000000000 -815550773234710824168543169/250000000000000000000000000 2132098837381495506850577/2500000000000000000000000
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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 :
2121353921307394431826787627/1000000000000000000000000000 1456621709317543219531522947/1000000000000000000000000000 200116146122655208112438391/200000000000000000000000000 153284981905898951891626019/200000000000000000000000000 325814863643857130078203/2500000000000000000000000 52269170806123216456234979/31250000000000000000000000
1456621709317543219531522947/1000000000000000000000000000 2392798899971511951648644929/1000000000000000000000000000 1028478316322074961423763533/1000000000000000000000000000 995323955882898122016280227/1000000000000000000000000000 185306252819525450660163831/250000000000000000000000000 152231679498728101484581/390625000000000000000000
200116146122655208112438391/200000000000000000000000000 1028478316322074961423763533/1000000000000000000000000000 7808081386272360490450137/3906250000000000000000000 129151848162368208888386811/500000000000000000000000000 221259788222155950778099419/1000000000000000000000000000 75361180309624803158346321/125000000000000000000000000
153284981905898951891626019/200000000000000000000000000 995323955882898122016280227/1000000000000000000000000000 129151848162368208888386811/500000000000000000000000000 378273223521153452805432709/500000000000000000000000000 266603738595843646758813227/1000000000000000000000000000 87181518138167764748378039/250000000000000000000000000
325814863643857130078203/2500000000000000000000000 185306252819525450660163831/250000000000000000000000000 221259788222155950778099419/1000000000000000000000000000 266603738595843646758813227/1000000000000000000000000000 313016681882136963660140951/1000000000000000000000000000 -31543660542610861294321331/125000000000000000000000000
52269170806123216456234979/31250000000000000000000000 152231679498728101484581/390625000000000000000000 75361180309624803158346321/125000000000000000000000000 87181518138167764748378039/250000000000000000000000000 -31543660542610861294321331/125000000000000000000000000 866114436641038427818902907/500000000000000000000000000


--- 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 :
471965715866866496740721693/1000000000000000000000000000 -16108748789284633872068349/1000000000000000000000000000 235900516300891501548292387/1000000000000000000000000000 6103078320522262539638463/125000000000000000000000000 -1134304674864755735950857/20000000000000000000000000 79441921863987586129579723/250000000000000000000000000 -64532939850589851308928173/250000000000000000000000000 -155557415250462744554239089/500000000000000000000000000 -114617825465286058852101579/500000000000000000000000000
-16108748789284633872068349/1000000000000000000000000000 1096371533219242925320929/1000000000000000000000000000 -294325163278971965295837/200000000000000000000000000 -1198352824162367794028559/500000000000000000000000000 774556774389389986366383/100000000000000000000000000 -5846227520205435993991581/500000000000000000000000000 -91890727705606589358621/125000000000000000000000000 422678225202805681561881/100000000000000000000000000 298134788022490074499107/31250000000000000000000000
235900516300891501548292387/1000000000000000000000000000 -294325163278971965295837/200000000000000000000000000 1540028722689137545644157/7812500000000000000000000 15612299536887800153491443/1000000000000000000000000000 4159542790997268755544117/100000000000000000000000000 237816865386957309908027/1600000000000000000000000 -24393685243268320380717601/100000000000000000000000000 -116227191251381270884842717/500000000000000000000000000 -93916490287486535752169907/1000000000000000000000000000
6103078320522262539638463/125000000000000000000000000 -1198352824162367794028559/500000000000000000000000000 15612299536887800153491443/1000000000000000000000000000 44105913669602125857056331/1000000000000000000000000000 -3407421451416772225665087/250000000000000000000000000 34004152313407860521119143/1000000000000000000000000000 -6974923926568600291384443/500000000000000000000000000 -1182218796937468388948799/50000000000000000000000000 -26007381978253815495808209/1000000000000000000000000000
-1134304674864755735950857/20000000000000000000000000 774556774389389986366383/100000000000000000000000000 4159542790997268755544117/100000000000000000000000000 -3407421451416772225665087/250000000000000000000000000 34286116726278419782327677/500000000000000000000000000 -11796354377212433814363483/250000000000000000000000000 -17611702588395897382022841/250000000000000000000000000 -7639660131709414051786779/250000000000000000000000000 2289495819454511783528763/50000000000000000000000000
79441921863987586129579723/250000000000000000000000000 -5846227520205435993991581/500000000000000000000000000 237816865386957309908027/1600000000000000000000000 34004152313407860521119143/1000000000000000000000000000 -11796354377212433814363483/250000000000000000000000000 215259943512016452609744227/1000000000000000000000000000 -79504832865571506479476727/500000000000000000000000000 -49891870523514594604510233/250000000000000000000000000 -156999626225305143499160397/1000000000000000000000000000
-64532939850589851308928173/250000000000000000000000000 -91890727705606589358621/125000000000000000000000000 -24393685243268320380717601/100000000000000000000000000 -6974923926568600291384443/500000000000000000000000000 -17611702588395897382022841/250000000000000000000000000 -79504832865571506479476727/500000000000000000000000000 15394378714034191475118433/50000000000000000000000000 8805948468595073757817473/31250000000000000000000000 47701189139399743899238041/500000000000000000000000000
-155557415250462744554239089/500000000000000000000000000 422678225202805681561881/100000000000000000000000000 -116227191251381270884842717/500000000000000000000000000 -1182218796937468388948799/50000000000000000000000000 -7639660131709414051786779/250000000000000000000000000 -49891870523514594604510233/250000000000000000000000000 8805948468595073757817473/31250000000000000000000000 13991810289093441428957133/50000000000000000000000000 8189920273460033355651123/62500000000000000000000000
-114617825465286058852101579/500000000000000000000000000 298134788022490074499107/31250000000000000000000000 -93916490287486535752169907/1000000000000000000000000000 -26007381978253815495808209/1000000000000000000000000000 2289495819454511783528763/50000000000000000000000000 -156999626225305143499160397/1000000000000000000000000000 47701189139399743899238041/500000000000000000000000000 8189920273460033355651123/62500000000000000000000000 116729726399549876345805423/1000000000000000000000000000


--- Term 13 ---

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

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

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

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 126191700966862656531573/200000000000000000000000000 82524475754230241997697/125000000000000000000000000 -660195635860245580333081/1000000000000000000000000000 330097950754379204644233/500000000000000000000000000 0/1 5361360669181139141577369/1000000000000000000000000000
0/1 82524475754230241997697/125000000000000000000000000 105785636953772048478292817/125000000000000000000000000 250795957731385852985965443/1000000000000000000000000000 -569207404620391230801572613/1000000000000000000000000000 0/1 5609797025080428590671683/1000000000000000000000000000
0/1 -660195635860245580333081/1000000000000000000000000000 250795957731385852985965443/1000000000000000000000000000 846285094217425129368430973/1000000000000000000000000000 -10557478520271381297562533/20000000000000000000000000 0/1 -2804898949288789517451447/500000000000000000000000000
0/1 330097950754379204644233/500000000000000000000000000 -569207404620391230801572613/1000000000000000000000000000 -10557478520271381297562533/20000000000000000000000000 10578567193541437226285271/12500000000000000000000000 0/1 1121959565834281275701037/200000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 5361360669181139141577369/1000000000000000000000000000 5609797025080428590671683/1000000000000000000000000000 -2804898949288789517451447/500000000000000000000000000 1121959565834281275701037/200000000000000000000000000 0/1 45556384460798331923310547/1000000000000000000000000000


--- 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 :
4230256159320001457260650119/1000000000000000000000000000 -19035577697465226021762231/12500000000000000000000000 1148162039935048296601977/1000000000000000000000000 419669289528463991455049469/500000000000000000000000000 -59649345463019471170382799/1000000000000000000000000000 -1092724407055954367540445067/1000000000000000000000000000 472710035355670054792146547/1000000000000000000000000000 154711242019185574175254909/500000000000000000000000000 -3484391268922286569592400647/1000000000000000000000000000 1100396136402908913399732803/1000000000000000000000000000 -457646765780605613642175799/500000000000000000000000000 -478625129856251504980108059/1000000000000000000000000000
-19035577697465226021762231/12500000000000000000000000 313525990597810173744765031/200000000000000000000000000 -358843752291027276607378463/500000000000000000000000000 213197121127973734791233173/500000000000000000000000000 -67747179335952713173876857/125000000000000000000000000 170217930819639592713162819/200000000000000000000000000 -435858768539196344173081217/1000000000000000000000000000 -62797114336377761664988929/200000000000000000000000000 832316821200898014437584911/1000000000000000000000000000 -170974601145826942956531997/500000000000000000000000000 495387408784750473002403177/1000000000000000000000000000 471885696249016158582228569/1000000000000000000000000000
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1100396136402908913399732803/1000000000000000000000000000 -170974601145826942956531997/500000000000000000000000000 -14918079867107973257948173/100000000000000000000000000 59440296303573279226760411/100000000000000000000000000 -594287656992751100179737277/1000000000000000000000000000 230998176971503576313007961/500000000000000000000000000 -312473019758043307462484139/1000000000000000000000000000 101937305464632781807422609/125000000000000000000000000 -459332294238915095260553519/250000000000000000000000000 559604395765607370989145197/500000000000000000000000000 -78759872145982618601815729/200000000000000000000000000 615168947593402065975170479/1000000000000000000000000000
-457646765780605613642175799/500000000000000000000000000 495387408784750473002403177/1000000000000000000000000000 -58905912301477664593725829/250000000000000000000000000 17390525128790399432219153/250000000000000000000000000 -59485920289729524417606433/500000000000000000000000000 141878130558456833457104423/500000000000000000000000000 -129257289744653242683179551/1000000000000000000000000000 -318675607187660895979926417/1000000000000000000000000000 381448882832757336730543297/500000000000000000000000000 -78759872145982618601815729/200000000000000000000000000 179369039666551124975588437/500000000000000000000000000 16021478637213112745107707/200000000000000000000000000
-478625129856251504980108059/1000000000000000000000000000 471885696249016158582228569/1000000000000000000000000000 -152816915988753406405634257/250000000000000000000000000 309930602995297326012140209/500000000000000000000000000 -158326683523123979492031981/200000000000000000000000000 62977594222662424742508081/62500000000000000000000000 -284276694336437522264273971/500000000000000000000000000 482217214859244813159533127/1000000000000000000000000000 -39249019519050505108248909/62500000000000000000000000 615168947593402065975170479/1000000000000000000000000000 16021478637213112745107707/200000000000000000000000000 211753335699791053608651329/250000000000000000000000000


--- Term 15 ---

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

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

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

Matrix :
1791264677007468272654979977/1000000000000000000000000000 -46125409529645248250661969/1000000000000000000000000000 -23446380176856531087524549/1000000000000000000000000000 -10185447520568867985782989/125000000000000000000000000
-46125409529645248250661969/1000000000000000000000000000 596662798462208394484873633/1000000000000000000000000000 250977564615927563433033973/1000000000000000000000000000 18363131811469509210195843/125000000000000000000000000
-23446380176856531087524549/1000000000000000000000000000 250977564615927563433033973/1000000000000000000000000000 106255384308388478640968497/1000000000000000000000000000 287797743354547680592333/3906250000000000000000000
-10185447520568867985782989/125000000000000000000000000 18363131811469509210195843/125000000000000000000000000 287797743354547680592333/3906250000000000000000000 30276005722089884218217967/125000000000000000000000000


--- 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 :
648073380874180455026961929/250000000000000000000000000 -269075966804886380826503199/100000000000000000000000000 -12862145438418006467760157/125000000000000000000000000 -28009591177442250533707897/250000000000000000000000000 155732186047260376436981741/250000000000000000000000000 13183408549035624886706363/125000000000000000000000000
-269075966804886380826503199/100000000000000000000000000 1498870529442040772317072649/500000000000000000000000000 27860754543874388035431683/200000000000000000000000000 86723709653101256942444319/500000000000000000000000000 -690929759174970594791681013/1000000000000000000000000000 -36568269651880797771520953/125000000000000000000000000
-12862145438418006467760157/125000000000000000000000000 27860754543874388035431683/200000000000000000000000000 12191023390427083772415231/1000000000000000000000000000 6758763564553033276604099/500000000000000000000000000 -31762976707578566076923099/1000000000000000000000000000 -519379985438741781552061/15625000000000000000000000
-28009591177442250533707897/250000000000000000000000000 86723709653101256942444319/500000000000000000000000000 6758763564553033276604099/500000000000000000000000000 10396979102955790112043541/500000000000000000000000000 -157192641274820464426849/4000000000000000000000000 -13913616175621619230567439/250000000000000000000000000
155732186047260376436981741/250000000000000000000000000 -690929759174970594791681013/1000000000000000000000000000 -31762976707578566076923099/1000000000000000000000000000 -157192641274820464426849/4000000000000000000000000 159290691811268034356951339/1000000000000000000000000000 1624605737683106326831933/25000000000000000000000000
13183408549035624886706363/125000000000000000000000000 -36568269651880797771520953/125000000000000000000000000 -519379985438741781552061/15625000000000000000000000 -13913616175621619230567439/250000000000000000000000000 1624605737683106326831933/25000000000000000000000000 20995184015523031183808911/125000000000000000000000000


--- 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 :
19201617273257141826731381/200000000000000000000000000 21949923043111822872400783/250000000000000000000000000 -22975972191234749444101849/250000000000000000000000000 1159797453255509190208589/62500000000000000000000000 -2319594988436882256872157/125000000000000000000000000 9278377506891026128269041/500000000000000000000000000 -47566452805699827775306669/1000000000000000000000000000 -30684327293987410581165271/500000000000000000000000000 -1858628691975782728577193/62500000000000000000000000 9110670980176793333231947/200000000000000000000000000
21949923043111822872400783/250000000000000000000000000 48004043107527616419958449/500000000000000000000000000 -45951944405455727020623471/500000000000000000000000000 -2319594408253932904483799/125000000000000000000000000 4639188933139223458513949/250000000000000000000000000 -144974679862120599759341/7812500000000000000000000 -5945806598141125715692159/125000000000000000000000000 -2973805941650695948794327/100000000000000000000000000 -30684327115296817636926301/500000000000000000000000000 4555335524900924509334711/100000000000000000000000000
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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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