#Density : 7375825141229268364101577493/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 9, 10, 12, 13, 14}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
943242515677296660245311/15625000000000000000000000 -34186888683125909970927571/125000000000000000000000000 178686441649196341341101/1562500000000000000000000 -16978765619541663669435609/125000000000000000000000000 7260310817675573265693339/25000000000000000000000000 -106897464737765659898219/5000000000000000000000000
-34186888683125909970927571/125000000000000000000000000 1239069845142873513163721431/1000000000000000000000000000 -6476312706768273369774761/12500000000000000000000000 615378506126139123666600549/1000000000000000000000000000 -263142758732142142585070079/200000000000000000000000000 3874392499021589116655759/40000000000000000000000000
178686441649196341341101/1562500000000000000000000 -6476312706768273369774761/12500000000000000000000000 33850090404719613099991/156250000000000000000000 -3216431788990272501038619/12500000000000000000000000 1375382347291749703346049/2500000000000000000000000 -20250494732625781414129/500000000000000000000000
-16978765619541663669435609/125000000000000000000000000 615378506126139123666600549/1000000000000000000000000000 -3216431788990272501038619/12500000000000000000000000 305624987393969652531185871/1000000000000000000000000000 -130688676188245653393003741/200000000000000000000000000 1924199735422749530872461/40000000000000000000000000
7260310817675573265693339/25000000000000000000000000 -263142758732142142585070079/200000000000000000000000000 1375382347291749703346049/2500000000000000000000000 -130688676188245653393003741/200000000000000000000000000 55883945319626460794465511/40000000000000000000000000 -822809411915033422352631/8000000000000000000000000
-106897464737765659898219/5000000000000000000000000 3874392499021589116655759/40000000000000000000000000 -20250494732625781414129/500000000000000000000000 1924199735422749530872461/40000000000000000000000000 -822809411915033422352631/8000000000000000000000000 12114665928895953030151/1600000000000000000000000


--- 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 :
32771523788062878772104893/1000000000000000000000000000 -11330978111784295516408083/1000000000000000000000000000 4587728564020626757532929/1000000000000000000000000000 -12085463852395449302378277/250000000000000000000000000 7706607663461097627210303/200000000000000000000000000 -12403788500026758774616551/1000000000000000000000000000
-11330978111784295516408083/1000000000000000000000000000 47569392016142128969620989/1000000000000000000000000000 -30405165732052679562094367/1000000000000000000000000000 2653431782519828872541771/50000000000000000000000000 -7732074520269323777977929/200000000000000000000000000 -40221956945073896064482087/1000000000000000000000000000
4587728564020626757532929/1000000000000000000000000000 -30405165732052679562094367/1000000000000000000000000000 19668578329689526270975501/1000000000000000000000000000 -1538426197397377792001639/50000000000000000000000000 4424410858502495460592287/200000000000000000000000000 27649633729396317360695861/1000000000000000000000000000
-12085463852395449302378277/250000000000000000000000000 2653431782519828872541771/50000000000000000000000000 -1538426197397377792001639/50000000000000000000000000 12698311170284763540328609/125000000000000000000000000 -389711399420364846639507/5000000000000000000000000 -187724751643960754593111/10000000000000000000000000
7706607663461097627210303/200000000000000000000000000 -7732074520269323777977929/200000000000000000000000000 4424410858502495460592287/200000000000000000000000000 -389711399420364846639507/5000000000000000000000000 2400574335639342993270819/40000000000000000000000000 2250288990912926701677807/200000000000000000000000000
-12403788500026758774616551/1000000000000000000000000000 -40221956945073896064482087/1000000000000000000000000000 27649633729396317360695861/1000000000000000000000000000 -187724751643960754593111/10000000000000000000000000 2250288990912926701677807/200000000000000000000000000 50081324464984737860369021/1000000000000000000000000000


--- 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 :
1129666381587094459118212623/1000000000000000000000000000 6883629885019299695633301/125000000000000000000000000 -99439041171685359767453637/1000000000000000000000000000 10346019379268649881042541/500000000000000000000000000 -22571161892344011633328197/1000000000000000000000000000 41533419512816781606586689/500000000000000000000000000 -36383170908211694818479813/250000000000000000000000000 -19554441611312392802970789/62500000000000000000000000 38704620741189768343586067/1000000000000000000000000000 -4262015220796003030475901/200000000000000000000000000 -67755209581588880307481839/1000000000000000000000000000 -331512123265348516906440429/500000000000000000000000000
6883629885019299695633301/125000000000000000000000000 3663571893392769614040369/500000000000000000000000000 -152397785863990229713263/6250000000000000000000000 5506407154114641368604783/500000000000000000000000000 4667278144802760446913051/100000000000000000000000000 4474003618344791432502081/500000000000000000000000000 -206052728739632710548363/15625000000000000000000000 -13875876436524188470673517/500000000000000000000000000 3471525209799300641190249/250000000000000000000000000 6694285742628742942632381/500000000000000000000000000 -3435979509894927161643771/62500000000000000000000000 -97409600320979576433993/3125000000000000000000000
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-331512123265348516906440429/500000000000000000000000000 -97409600320979576433993/3125000000000000000000000 26761655666140746618197271/500000000000000000000000000 -483318324305483549593179/50000000000000000000000000 12540895336849273996013079/500000000000000000000000000 -11885032429550259180517011/250000000000000000000000000 10488345294904955192010813/125000000000000000000000000 11283371604803675698365189/62500000000000000000000000 -9872033362760986863981561/500000000000000000000000000 8040631565663504269319883/500000000000000000000000000 13483289744256646020944373/500000000000000000000000000 97356837953328648655289871/250000000000000000000000000


--- 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 :
24930733535494384784615847/250000000000000000000000000 -20779622236721133230124273/250000000000000000000000000 3136369661913020437623503/12500000000000000000000000 -7485513063863935573861399/125000000000000000000000000
-20779622236721133230124273/250000000000000000000000000 197025120700608907336322209/125000000000000000000000000 -52282919103791690066533907/250000000000000000000000000 202161196332831718221101269/500000000000000000000000000
3136369661913020437623503/12500000000000000000000000 -52282919103791690066533907/250000000000000000000000000 157826317339014900288062301/250000000000000000000000000 -75336205469891079908818843/500000000000000000000000000
-7485513063863935573861399/125000000000000000000000000 202161196332831718221101269/500000000000000000000000000 -75336205469891079908818843/500000000000000000000000000 354877559336938227904109609/200000000000000000000000000


--- 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 :
379397358065049040427238167/100000000000000000000000000 925878084398729297151052751/250000000000000000000000000 3308653442328634346091911207/1000000000000000000000000000 -1760881096509963126940659751/500000000000000000000000000 519386353322632896761680849/500000000000000000000000000 -845327792744107662844119733/500000000000000000000000000 -197176980004198904793947323/1000000000000000000000000000 -559719650830333482341418109/250000000000000000000000000 -1823251810836778265301371369/1000000000000000000000000000 -133900717956551000986340571/100000000000000000000000000
925878084398729297151052751/250000000000000000000000000 911240100281354694745484693/250000000000000000000000000 1605890899948238101906670659/500000000000000000000000000 -197283038701092428878558781/62500000000000000000000000 127991184204393194010119257/125000000000000000000000000 -130954496349645563071310861/100000000000000000000000000 -58644269131619712982727143/100000000000000000000000000 -567185243277562869014786071/250000000000000000000000000 -56506638971269098191140837/31250000000000000000000000 -344343702946407396322584729/250000000000000000000000000
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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 :
5392743323125420040300907/250000000000000000000000000 -156044409094217100532062909/500000000000000000000000000 -8782241946901360135425399/250000000000000000000000000 -171656359338596253795869367/500000000000000000000000000 720794152876982306700351/2500000000000000000000000 17041256836822437693441153/500000000000000000000000000
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--- 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 :
256007235406579376585054827/250000000000000000000000000 59671757011128233361669811/250000000000000000000000000 -69474070825280949253167013/250000000000000000000000000 -40510145793863062210854833/250000000000000000000000000 -17370549742714668356529361/250000000000000000000000000 -27768602125405267941143143/62500000000000000000000000 121845532482129927000903/2000000000000000000000000 16803531206062749929316243/125000000000000000000000000 -188474289778808262011324043/250000000000000000000000000
59671757011128233361669811/250000000000000000000000000 121432868882464388140952017/250000000000000000000000000 -70070757360542692276830557/125000000000000000000000000 -41040350030483677596617443/125000000000000000000000000 -3332350058542823438099371/25000000000000000000000000 -225524202535480920020472511/250000000000000000000000000 15256885074049370689823391/125000000000000000000000000 67909143340971833131235049/250000000000000000000000000 -15427602099035229143249487/31250000000000000000000000
-69474070825280949253167013/250000000000000000000000000 -70070757360542692276830557/125000000000000000000000000 323468315742243550626893969/500000000000000000000000000 189453994303119660804144409/500000000000000000000000000 76920369574116304333342673/500000000000000000000000000 520540871650275055352590061/500000000000000000000000000 -14086212717215085389357691/100000000000000000000000000 -156744504410938597185145833/500000000000000000000000000 285558227134121013613358589/500000000000000000000000000
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--- 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 :
69575250288648736469992037/200000000000000000000000000 -1425983271562819509/200000000000000000000000000 -15334462211550941135777693/40000000000000000000000000 76672183907768133596868403/200000000000000000000000000 76672321213278944959336063/200000000000000000000000000 76019033568482390610503669/200000000000000000000000000 22287848711212654207/200000000000000000000000000
-1425983271562819509/200000000000000000000000000 236443408619800115083701/500000000000000000000000000 -318874170150665292116613/200000000000000000000000000 99646287171558775519191/62500000000000000000000000 -318871262591705310170151/200000000000000000000000000 -194661389749631751/25000000000000000000000000 -3489873714390530928477591/500000000000000000000000000
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--- 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 :
958229450772111834865009533/62500000000000000000000000 876676063148635524585641727/62500000000000000000000000 -361384987979500233807808691/125000000000000000000000000 333603104026922926604945597/62500000000000000000000000 -161899231292015981239322283/31250000000000000000000000 -411374838335477884302212427/125000000000000000000000000 -120810128236565967431997687/25000000000000000000000000 -355679293698063192752149431/125000000000000000000000000 -276858171032113693543314819/125000000000000000000000000 -102080699701144268418369439/125000000000000000000000000 -18701054532545015187699591/12500000000000000000000000 -3696289425302404043617647/31250000000000000000000000
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--- 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 :
1707795399751706713264135361/500000000000000000000000000 773936940540012167526158723/500000000000000000000000000 31681366197475090039666141/50000000000000000000000000 864074733846991773240149573/500000000000000000000000000
773936940540012167526158723/500000000000000000000000000 293728645737253432980825573/100000000000000000000000000 -9932580705530169642016091/7812500000000000000000000 122261493298699340422091127/500000000000000000000000000
31681366197475090039666141/50000000000000000000000000 -9932580705530169642016091/7812500000000000000000000 801866870302766124353135861/500000000000000000000000000 148317316426356593085768397/125000000000000000000000000
864074733846991773240149573/500000000000000000000000000 122261493298699340422091127/500000000000000000000000000 148317316426356593085768397/125000000000000000000000000 802936065726019851700934313/500000000000000000000000000


--- Term 16 ---

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

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

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

Matrix :
153434828086931198797180173/1000000000000000000000000000 907187777589813260292489/15625000000000000000000000 20577023037066742189106589/1000000000000000000000000000 -60123364205563341028032729/1000000000000000000000000000 9320065756548600593116047/200000000000000000000000000 -149718075155760988977509241/1000000000000000000000000000
907187777589813260292489/15625000000000000000000000 21970016227665723872265929/1000000000000000000000000000 7786382906592698376568529/1000000000000000000000000000 -4550158053989925184118619/200000000000000000000000000 275525767066519261454431/15625000000000000000000000 -7081698962826190873313829/125000000000000000000000000
20577023037066742189106589/1000000000000000000000000000 7786382906592698376568529/1000000000000000000000000000 513965976486441414355803/20000000000000000000000000 -1007887085205250121999981/125000000000000000000000000 6249533121287952112573627/1000000000000000000000000000 -20078572263533254143452913/1000000000000000000000000000
-60123364205563341028032729/1000000000000000000000000000 -4550158053989925184118619/200000000000000000000000000 -1007887085205250121999981/125000000000000000000000000 11779655794142044467125327/500000000000000000000000000 -18260316607624851322498719/1000000000000000000000000000 58666956342178931732341293/1000000000000000000000000000
9320065756548600593116047/200000000000000000000000000 275525767066519261454431/15625000000000000000000000 6249533121287952112573627/1000000000000000000000000000 -18260316607624851322498719/1000000000000000000000000000 14153179364396935485554333/1000000000000000000000000000 -9094299663209446896296499/200000000000000000000000000
-149718075155760988977509241/1000000000000000000000000000 -7081698962826190873313829/125000000000000000000000000 -20078572263533254143452913/1000000000000000000000000000 58666956342178931732341293/1000000000000000000000000000 -9094299663209446896296499/200000000000000000000000000 146091355579622373679774197/1000000000000000000000000000


--- 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 :
15986384343103382717047643/125000000000000000000000000 -25499417897207497956754203/250000000000000000000000000 -647335092186827357595661/50000000000000000000000000 2067264502780582414294419/100000000000000000000000000 -2067264055827657686887453/100000000000000000000000000 5168160923302911641923773/250000000000000000000000000 1347642800937237504944721/100000000000000000000000000 -81335600647136538477732643/500000000000000000000000000 14249886955190130345644697/125000000000000000000000000 304200664928938754565839/12500000000000000000000000
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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 :
30222874355378976473105939/250000000000000000000000000 2962773867391069151609/125000000000000000000000000 2373813686565779623571/125000000000000000000000000 -615837674730572234481807/6250000000000000000000000 -386157506301492836991087/250000000000000000000000000 -27429823518397205921087933/250000000000000000000000000
2962773867391069151609/125000000000000000000000000 290443221451342379/62500000000000000000000000 232706958111038201/62500000000000000000000000 -60371086740195713517/3125000000000000000000000 -37855346083697101197/125000000000000000000000000 -2688968737779644498423/125000000000000000000000000
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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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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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2173680119186878446085601/250000000000000000000000000 -2173680119186878446085601/250000000000000000000000000 905552200564211819/250000000000000000000000000 -888010100851634239656417/100000000000000000000000000 888010100851634239656417/100000000000000000000000000 -444004623804660001092441/50000000000000000000000000 0/1 -489734044385052062955446519/1000000000000000000000000000 489734044385052062955446519/1000000000000000000000000000 -240701341643073074909/1000000000000000000000000000
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