#Density : 7831868563406224511360801921/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 9, 10, 12, 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 :
10639433502141709003358247/15625000000000000000000000 370629731471286786738471/3906250000000000000000000 3247159903792476113918831/15625000000000000000000000 -2376131037246415069548533/3125000000000000000000000 12460138793531517704953123/62500000000000000000000000 7581372833545277197529291/62500000000000000000000000
370629731471286786738471/3906250000000000000000000 32831423594735151549121137/62500000000000000000000000 11405876712973841137416827/250000000000000000000000000 -3687362052059040812383043/12500000000000000000000000 -10634517255042615253944853/125000000000000000000000000 -5236170806054665774060379/31250000000000000000000000
3247159903792476113918831/15625000000000000000000000 11405876712973841137416827/250000000000000000000000000 63968604985783742256298537/1000000000000000000000000000 -11910753698298334174464417/50000000000000000000000000 28586274672736334342770377/500000000000000000000000000 3877270176822082730950251/125000000000000000000000000
-2376131037246415069548533/3125000000000000000000000 -3687362052059040812383043/12500000000000000000000000 -11910753698298334174464417/50000000000000000000000000 11485656916772988366381769/12500000000000000000000000 -4523970523204266175718891/25000000000000000000000000 -841983038997140242978427/12500000000000000000000000
12460138793531517704953123/62500000000000000000000000 -10634517255042615253944853/125000000000000000000000000 28586274672736334342770377/500000000000000000000000000 -4523970523204266175718891/25000000000000000000000000 2601295992806737097769289/31250000000000000000000000 19041851932231272098334859/250000000000000000000000000
7581372833545277197529291/62500000000000000000000000 -5236170806054665774060379/31250000000000000000000000 3877270176822082730950251/125000000000000000000000000 -841983038997140242978427/12500000000000000000000000 19041851932231272098334859/250000000000000000000000000 22013619760488328032328943/250000000000000000000000000


--- 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 :
31859989997089359032378689/200000000000000000000000000 3759221216317979281504509/40000000000000000000000000 -25403168423849580186198453/100000000000000000000000000 -5870440777622685344433717/50000000000000000000000000 -3177296297630860277807977/40000000000000000000000000 1458858236817650997059977/200000000000000000000000000
3759221216317979281504509/40000000000000000000000000 182787463712743686527986997/1000000000000000000000000000 -92122394462950206369352989/500000000000000000000000000 -9478131338243794037728357/50000000000000000000000000 -254366973071333656817353/200000000000000000000000000 -124611918694494683591011047/1000000000000000000000000000
-25403168423849580186198453/100000000000000000000000000 -92122394462950206369352989/500000000000000000000000000 51797248151301335598947199/125000000000000000000000000 5492576516741723448039273/25000000000000000000000000 2859044602033973355220239/25000000000000000000000000 1448052486751280775674043/62500000000000000000000000
-5870440777622685344433717/50000000000000000000000000 -9478131338243794037728357/50000000000000000000000000 5492576516741723448039273/25000000000000000000000000 2502166498969610735691961/12500000000000000000000000 154767304530347995117709/10000000000000000000000000 5820277596793837433324691/50000000000000000000000000
-3177296297630860277807977/40000000000000000000000000 -254366973071333656817353/200000000000000000000000000 2859044602033973355220239/25000000000000000000000000 154767304530347995117709/10000000000000000000000000 1118589081177950752427351/20000000000000000000000000 -4979023138830831684457801/100000000000000000000000000
1458858236817650997059977/200000000000000000000000000 -124611918694494683591011047/1000000000000000000000000000 1448052486751280775674043/62500000000000000000000000 5820277596793837433324691/50000000000000000000000000 -4979023138830831684457801/100000000000000000000000000 65420591219612788306853251/500000000000000000000000000


--- 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 :
46825706985269422767633037/250000000000000000000000000 -494484689765115149069493/31250000000000000000000000 69516936830086570943774063/500000000000000000000000000 171069113641697705132654513/500000000000000000000000000 -43798141157963310896205489/125000000000000000000000000 115002289389388891199695421/500000000000000000000000000 39854471050166025726961607/250000000000000000000000000 -36959873887668703566064023/500000000000000000000000000 -114948159077493315292616513/500000000000000000000000000 -6196887712964311505464397/25000000000000000000000000 -2134389531648309490463273/10000000000000000000000000 18860757278881751259581129/62500000000000000000000000
-494484689765115149069493/31250000000000000000000000 179948638704099553947456957/1000000000000000000000000000 86287912717342931577792639/500000000000000000000000000 63287341412700008764210023/1000000000000000000000000000 21904231688650940558012649/1000000000000000000000000000 -271005517529868123743260419/1000000000000000000000000000 3457420159127488243405731/250000000000000000000000000 123146850904870504155181047/1000000000000000000000000000 -241595558140178411755392303/1000000000000000000000000000 -8770066939326463959662829/50000000000000000000000000 1545441911344007044103079/200000000000000000000000000 -115413042931245319127629473/1000000000000000000000000000
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18860757278881751259581129/62500000000000000000000000 -115413042931245319127629473/1000000000000000000000000000 16401287773240448023888641/125000000000000000000000000 504822263417918512010772263/1000000000000000000000000000 -560646710122521129553492241/1000000000000000000000000000 497221718773034483300555181/1000000000000000000000000000 30387873024492213234790753/125000000000000000000000000 -177947795316859609792173253/1000000000000000000000000000 -238991706870246924076004763/1000000000000000000000000000 -7512961927522156567929501/25000000000000000000000000 -67738738742813902834851247/200000000000000000000000000 531467006858792614476400457/1000000000000000000000000000


--- 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 :
166727946693130133115340773/200000000000000000000000000 15595154889349940635689351/20000000000000000000000000 10561733794916227835699733/200000000000000000000000000 -12674909301769668573001089/50000000000000000000000000
15595154889349940635689351/20000000000000000000000000 1458716794914121912806237/2000000000000000000000000 987908012415935967710871/20000000000000000000000000 -1185567133105616164850043/5000000000000000000000000
10561733794916227835699733/200000000000000000000000000 987908012415935967710871/20000000000000000000000000 669055326159497797357893/200000000000000000000000000 -802918890174964909968369/50000000000000000000000000
-12674909301769668573001089/50000000000000000000000000 -1185567133105616164850043/5000000000000000000000000 -802918890174964909968369/50000000000000000000000000 963565670869662519536877/12500000000000000000000000


--- 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 :
33782205507825425393364957/100000000000000000000000000 18472508758310953253371143/25000000000000000000000000 2407615831409767327692243/5000000000000000000000000 -1545180621106963230481869/4000000000000000000000000 4594187928570223373300049/100000000000000000000000000 -48370710929853157984776363/100000000000000000000000000 20762211856124440668829761/100000000000000000000000000 -9651780532479127825449201/25000000000000000000000000 1305034304108389013655561/100000000000000000000000000 5312259019289435609718423/100000000000000000000000000
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5312259019289435609718423/100000000000000000000000000 2542767646876253796321369/15625000000000000000000000 93235945794270996090416409/100000000000000000000000000 234223287143846971740627387/500000000000000000000000000 -150135225715095689560441437/100000000000000000000000000 -568926485943627164941484997/500000000000000000000000000 181710439528475905302747681/125000000000000000000000000 486640796651290715512323261/500000000000000000000000000 -288969883256442499789599/800000000000000000000000 55504165547845591404353901/25000000000000000000000000


--- 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 :
127945619599515393676597743/1000000000000000000000000000 -186765864127045540272165033/250000000000000000000000000 44960445617491267272525273/50000000000000000000000000 6468243968759317791862491/1000000000000000000000000000 305061946431079585910321043/1000000000000000000000000000 28414381103814091922013741/40000000000000000000000000
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28414381103814091922013741/40000000000000000000000000 -1036932029619311238445160559/250000000000000000000000000 1248111541813135774849794663/250000000000000000000000000 35911962699403444154716761/1000000000000000000000000000 338743383059784174529662909/200000000000000000000000000 3943946342399074568738834487/1000000000000000000000000000


--- 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 :
10374970385467750480285929/250000000000000000000000000 4200642281522538291063609/250000000000000000000000000 -10213417793741272677931173/500000000000000000000000000 -22490414585305871623681749/500000000000000000000000000 -16706838172365604023226929/250000000000000000000000000 61640734166058770748505527/500000000000000000000000000 46278537025739378995846347/500000000000000000000000000 153129939420916807206249/12500000000000000000000000 -42369208715918395404026457/500000000000000000000000000
4200642281522538291063609/250000000000000000000000000 1700765874188019842329521/250000000000000000000000000 -4135232490238088719473069/500000000000000000000000000 -1821194333967052207366713/100000000000000000000000000 -6764303724249105739901529/250000000000000000000000000 24957244655341117708062879/500000000000000000000000000 18737362337884178754931947/500000000000000000000000000 154999020286236630632373/31250000000000000000000000 -17154544346076802516721649/500000000000000000000000000
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153129939420916807206249/12500000000000000000000000 154999020286236630632373/31250000000000000000000000 -47107967237754300815343/7812500000000000000000000 -207467810647122329287221/15625000000000000000000000 -30823185780279999937467/1562500000000000000000000 2274474417278990105156313/62500000000000000000000000 683050583080833472786953/25000000000000000000000000 452025933103354578487869/125000000000000000000000000 -1563376598421070146276423/62500000000000000000000000
-42369208715918395404026457/500000000000000000000000000 -17154544346076802516721649/500000000000000000000000000 8341892345293458645562761/200000000000000000000000000 91846148384854726404266013/1000000000000000000000000000 68227232195238462357983577/500000000000000000000000000 -251727863719240897362080223/1000000000000000000000000000 -188991864213644985404108811/1000000000000000000000000000 -1563376598421070146276423/62500000000000000000000000 173026985188075972416677553/1000000000000000000000000000


--- 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 :
58223918604404372812596877/200000000000000000000000000 8932711770717991/10000000000000000000000000 -2519173592602257229758273/12500000000000000000000000 8061355520628222888367663/40000000000000000000000000 25191735944275209374794281/125000000000000000000000000 108639951344248393845149307/200000000000000000000000000 235596939172617721/500000000000000000000000000
8932711770717991/10000000000000000000000000 2100543230192436830440089947/1000000000000000000000000000 273203061475141739003997599/1000000000000000000000000000 -273203062048710452023404379/1000000000000000000000000000 273203060143695433006976691/1000000000000000000000000000 -28964824853748247/125000000000000000000000000 393742284695458438408841191/500000000000000000000000000
-2519173592602257229758273/12500000000000000000000000 273203061475141739003997599/1000000000000000000000000000 929248306809536947146440927/1000000000000000000000000000 -91007157185463689482739503/200000000000000000000000000 -280681867258510492126608821/1000000000000000000000000000 -13738066973140328597932621/31250000000000000000000000 2048452916560352144302489/20000000000000000000000000
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235596939172617721/500000000000000000000000000 393742284695458438408841191/500000000000000000000000000 2048452916560352144302489/20000000000000000000000000 -102422645854050801574777/1000000000000000000000000 10242264552206354312100731/100000000000000000000000000 72568917056723397/500000000000000000000000000 73806139539911504212576109/250000000000000000000000000


--- 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 :
1739166654429816244083093527/200000000000000000000000000 722626842334160656720597191/250000000000000000000000000 4486357200425638803181610893/1000000000000000000000000000 -267782683851261731961368719/200000000000000000000000000 -3116580632685184366121077983/1000000000000000000000000000 580329829490015986538993981/1000000000000000000000000000 -248605883527494469056920423/50000000000000000000000000 -2659949523354833670814528883/1000000000000000000000000000 -30404427495124169659685413/12500000000000000000000000 -1889801960270665200378647849/1000000000000000000000000000 -261970032030269212999944037/500000000000000000000000000 101553910937205419227915397/1000000000000000000000000000
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101553910937205419227915397/1000000000000000000000000000 -209364122205641045464832973/250000000000000000000000000 2193379996028491211570903129/1000000000000000000000000000 249197658972393177770638437/1000000000000000000000000000 296658402180898385018267033/200000000000000000000000000 194682514024260446901555519/200000000000000000000000000 -343862922793681302617303553/250000000000000000000000000 -1588215422616268795748389957/1000000000000000000000000000 -160486963674809950333065419/62500000000000000000000000 100823602951865092982712297/1000000000000000000000000000 104172584702638592251434883/500000000000000000000000000 1788303593156831779208826767/1000000000000000000000000000


--- 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 :
3578988814230402093100439133/500000000000000000000000000 25691588866968386412607403/62500000000000000000000000 -31485477150597891408144243/6250000000000000000000000 -816178463504394186375661393/500000000000000000000000000
25691588866968386412607403/62500000000000000000000000 140045499769730896427500783/62500000000000000000000000 -611495755846423651276613/125000000000000000000000000 1765332212743415147055923/6250000000000000000000000
-31485477150597891408144243/6250000000000000000000000 -611495755846423651276613/125000000000000000000000000 184744421072487147527548823/50000000000000000000000000 100447914382410799853512043/125000000000000000000000000
-816178463504394186375661393/500000000000000000000000000 1765332212743415147055923/6250000000000000000000000 100447914382410799853512043/125000000000000000000000000 903411698783348151548174453/500000000000000000000000000


--- 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 :
8277787324140648096653793/15625000000000000000000000 -3621274400189208165965523/62500000000000000000000000 167166132567889770217773/3125000000000000000000000 -14635259156975921878822317/62500000000000000000000000 -1179977057559329628779973/12500000000000000000000000 12467357655742991547638937/62500000000000000000000000
-3621274400189208165965523/62500000000000000000000000 1584194878167770547212553/250000000000000000000000000 -73129981810637913837303/12500000000000000000000000 6402470521407551756397687/250000000000000000000000000 516203249011811064541503/50000000000000000000000000 -5454081066456005994672507/250000000000000000000000000
167166132567889770217773/3125000000000000000000000 -73129981810637913837303/12500000000000000000000000 3375843662497856524553/625000000000000000000000 -295552371255738094252937/12500000000000000000000000 -23829097499978229378753/2500000000000000000000000 251772591036891566042757/12500000000000000000000000
-14635259156975921878822317/62500000000000000000000000 6402470521407551756397687/250000000000000000000000000 -295552371255738094252937/12500000000000000000000000 25875370096450698569291273/250000000000000000000000000 2086218135407275508284737/50000000000000000000000000 -22042485890207227852642053/250000000000000000000000000
-1179977057559329628779973/12500000000000000000000000 516203249011811064541503/50000000000000000000000000 -23829097499978229378753/2500000000000000000000000 2086218135407275508284737/50000000000000000000000000 168202661151471270112953/10000000000000000000000000 -1777189413801547257022557/50000000000000000000000000
12467357655742991547638937/62500000000000000000000000 -5454081066456005994672507/250000000000000000000000000 251772591036891566042757/12500000000000000000000000 -22042485890207227852642053/250000000000000000000000000 -1777189413801547257022557/50000000000000000000000000 18777361730823368705823633/250000000000000000000000000


--- 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 :
66739796970490360684059433/1000000000000000000000000000 3680317925192476620087867/100000000000000000000000000 -51771488069603495825621717/1000000000000000000000000000 -26920096095619034387078493/500000000000000000000000000 53840189909814676929877009/1000000000000000000000000000 -6730023683897118852343819/125000000000000000000000000 -6236452070789577158793817/200000000000000000000000000 -10723178222600388220520257/500000000000000000000000000 3372936045420713607444327/40000000000000000000000000 -1964907660398491158313229/62500000000000000000000000
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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 :
482996987333420137701291/125000000000000000000000000 1607958126924686008401069/62500000000000000000000000 2296746826341667352871813/50000000000000000000000000 -911713469316065479021077/250000000000000000000000000 -7644366393973545738637233/125000000000000000000000000 -4105515106246024419784227/250000000000000000000000000
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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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