#Density : 7376425155644051434793799847/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 11, 12}
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 :
31542922182249013699640487/1000000000000000000000000000 -17939529900283923413319427/1000000000000000000000000000 -15153165389447710881820243/500000000000000000000000000 -15663334659436143951229219/1000000000000000000000000000 -50037546073899998549907593/1000000000000000000000000000 1332351965672724568254777/15625000000000000000000000
-17939529900283923413319427/1000000000000000000000000000 510140961550307820832221/50000000000000000000000000 17236238419338637458420279/1000000000000000000000000000 8908269778083554787626701/1000000000000000000000000000 5691609984612158933197713/200000000000000000000000000 -24248120361493993539515091/500000000000000000000000000
-15153165389447710881820243/500000000000000000000000000 17236238419338637458420279/1000000000000000000000000000 29118218025998272013456829/1000000000000000000000000000 7524638938234181473262803/500000000000000000000000000 12018975404369878713007923/250000000000000000000000000 -1280119170706146143694381/15625000000000000000000000
-15663334659436143951229219/1000000000000000000000000000 8908269778083554787626701/1000000000000000000000000000 7524638938234181473262803/500000000000000000000000000 3279101069288824811273323/125000000000000000000000000 3423043439955549794998759/500000000000000000000000000 -42342962849902317538854801/1000000000000000000000000000
-50037546073899998549907593/1000000000000000000000000000 5691609984612158933197713/200000000000000000000000000 12018975404369878713007923/250000000000000000000000000 3423043439955549794998759/500000000000000000000000000 30383451004144008870840393/250000000000000000000000000 -27053472341378973887898213/200000000000000000000000000
1332351965672724568254777/15625000000000000000000000 -24248120361493993539515091/500000000000000000000000000 -1280119170706146143694381/15625000000000000000000000 -42342962849902317538854801/1000000000000000000000000000 -27053472341378973887898213/200000000000000000000000000 230513283731879466052865241/1000000000000000000000000000


--- 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 :
100579037814170726286677629/1000000000000000000000000000 34033648919971648743316587/200000000000000000000000000 -215038810939864228225402187/500000000000000000000000000 32310083532044856780549343/1000000000000000000000000000 -17891311537090835582619547/125000000000000000000000000 -12641792177808889987075811/500000000000000000000000000
34033648919971648743316587/200000000000000000000000000 11516209381003785283762083/40000000000000000000000000 -36382110799355727619557009/50000000000000000000000000 10932994224266119647439521/200000000000000000000000000 -24216044567704070057143401/100000000000000000000000000 -2138846850632241823227627/50000000000000000000000000
-215038810939864228225402187/500000000000000000000000000 -36382110799355727619557009/50000000000000000000000000 919509496518878262443735381/500000000000000000000000000 -69079224608765463926742581/500000000000000000000000000 306014170960671685667599747/500000000000000000000000000 54056511500997741067960793/500000000000000000000000000
32310083532044856780549343/1000000000000000000000000000 10932994224266119647439521/200000000000000000000000000 -69079224608765463926742581/500000000000000000000000000 10379314820812829632690293/1000000000000000000000000000 -718427247396819988198229/15625000000000000000000000 -4061058546006080314223693/500000000000000000000000000
-17891311537090835582619547/125000000000000000000000000 -24216044567704070057143401/100000000000000000000000000 306014170960671685667599747/500000000000000000000000000 -718427247396819988198229/15625000000000000000000000 101841985518661359751039451/500000000000000000000000000 17990089956004970197686391/500000000000000000000000000
-12641792177808889987075811/500000000000000000000000000 -2138846850632241823227627/50000000000000000000000000 54056511500997741067960793/500000000000000000000000000 -4061058546006080314223693/500000000000000000000000000 17990089956004970197686391/500000000000000000000000000 20737800898520598575698829/500000000000000000000000000


--- 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 589791/31250000


--- 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 72147/15625000 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 :
4738657/250000000


--- 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 :
106956612789630920855027409/125000000000000000000000000 34685214783549020924897843/20000000000000000000000000 211199579373502974844912947/500000000000000000000000000 605930347330472841730194877/500000000000000000000000000 -2675842325088492471696251/100000000000000000000000000 -120458933896387159112701641/500000000000000000000000000 -176637806311738430227909913/62500000000000000000000000 -445698623181484216248187/200000000000000000000000 -58425858283932228559827549/125000000000000000000000000 1200280935246529285941/625000000000000000000000 -98661565287761327602277057/500000000000000000000000000 -9987096149213450593706737/31250000000000000000000000
34685214783549020924897843/20000000000000000000000000 536146499050927106915188471/125000000000000000000000000 734100913971743897635554569/1000000000000000000000000000 785934168395313883366417629/250000000000000000000000000 -66333608878484078239832031/250000000000000000000000000 -249420768090332409537863573/250000000000000000000000000 -6546090741086837871181879881/1000000000000000000000000000 -4720159624767792206260611133/1000000000000000000000000000 -454137735765231585446230361/500000000000000000000000000 -2561157116974392194589/250000000000000000000000 -79971759673391330440629467/500000000000000000000000000 -1134483269548791153644953957/1000000000000000000000000000
211199579373502974844912947/500000000000000000000000000 734100913971743897635554569/1000000000000000000000000000 98899138763598180188617209/200000000000000000000000000 655679475925227221898213767/1000000000000000000000000000 66369878333419809754985433/125000000000000000000000000 30319634296168196988869049/250000000000000000000000000 -80761519359627193770056051/40000000000000000000000000 -229296466760912233213706209/125000000000000000000000000 -423973734395850490598766987/1000000000000000000000000000 -105019016157377492457465597/1000000000000000000000000000 1768298991351052603577009/125000000000000000000000000 3536408624744698951515417/50000000000000000000000000
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-9987096149213450593706737/31250000000000000000000000 -1134483269548791153644953957/1000000000000000000000000000 3536408624744698951515417/50000000000000000000000000 -790561085147714362365306009/1000000000000000000000000000 108352302105950706522235239/250000000000000000000000000 331119564821638636788508199/1000000000000000000000000000 570754306240496798335629287/500000000000000000000000000 524208008405200550706289459/1000000000000000000000000000 -186059193619748795231235351/1000000000000000000000000000 -53131723027498018888471511/200000000000000000000000000 -148484081995377626839242929/1000000000000000000000000000 286291294085699337285036111/125000000000000000000000000


--- 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 :
991246064237160273545774619/500000000000000000000000000 298911594229979098348747997/125000000000000000000000000 40147241276969860614947057/100000000000000000000000000 -18848839446439802034544729/250000000000000000000000000
298911594229979098348747997/125000000000000000000000000 721097571137337392508459963/250000000000000000000000000 48425820188915459873355351/100000000000000000000000000 -45471143651117816569675591/500000000000000000000000000
40147241276969860614947057/100000000000000000000000000 48425820188915459873355351/100000000000000000000000000 183580362749570785935502143/125000000000000000000000000 24045468215967449284689341/1000000000000000000000000000
-18848839446439802034544729/250000000000000000000000000 -45471143651117816569675591/500000000000000000000000000 24045468215967449284689341/1000000000000000000000000000 2370657858871122079261912819/1000000000000000000000000000


--- 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 :
1202922163548222622155525933/100000000000000000000000000 -1120820383567545097589685497/250000000000000000000000000 -366118410144770806459029131/200000000000000000000000000 218585718908898153148831283/250000000000000000000000000 766858515070283702094905611/500000000000000000000000000 534467609272984303818726047/500000000000000000000000000 -1102616206410559669504679701/500000000000000000000000000 -1809700636510177863747742731/1000000000000000000000000000 48576660647450689106711871/250000000000000000000000000 -3236604529703193514496449323/1000000000000000000000000000
-1120820383567545097589685497/250000000000000000000000000 1915770488984190743230061489/1000000000000000000000000000 352290905998196258968740961/250000000000000000000000000 -127362189258233589516058159/200000000000000000000000000 -86107870939187862031481813/125000000000000000000000000 -103095811277862661743431759/200000000000000000000000000 68624704208758769270518549/50000000000000000000000000 -17046541483832836101366781/62500000000000000000000000 -165478581234292816446436937/500000000000000000000000000 71274530257241713895505389/40000000000000000000000000
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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 :
534391513893780125151821371/125000000000000000000000000 396919238382505432209231501/1000000000000000000000000000 245757022317292990014198749/250000000000000000000000000 -2644779106667910152558940573/1000000000000000000000000000 446187686131751486037358361/1000000000000000000000000000 108802900123446172524014091/40000000000000000000000000
396919238382505432209231501/1000000000000000000000000000 460543650438700063205723901/500000000000000000000000000 263131638945180772661514279/1000000000000000000000000000 -242424401187275260394293267/1000000000000000000000000000 4736113227052405969122637/125000000000000000000000000 256641693176463775680590253/1000000000000000000000000000
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446187686131751486037358361/1000000000000000000000000000 4736113227052405969122637/125000000000000000000000000 76007982855764386845301611/500000000000000000000000000 -712240885238531799660389/3906250000000000000000000 624486284158573453088542011/1000000000000000000000000000 268886792301068385141693393/1000000000000000000000000000
108802900123446172524014091/40000000000000000000000000 256641693176463775680590253/1000000000000000000000000000 580811147746499179390381263/1000000000000000000000000000 -831730682948998010638801791/500000000000000000000000000 268886792301068385141693393/1000000000000000000000000000 7780325075204432109745693/3125000000000000000000000


--- 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 :
23599387927994232657442587/1000000000000000000000000000 -34145982666312916825435743/1000000000000000000000000000 3008408783638284794771637/62500000000000000000000000 16483985902747095510129297/1000000000000000000000000000 83614621964999290038245289/1000000000000000000000000000 41538879097482616124129013/1000000000000000000000000000 -9173633804731604004098469/125000000000000000000000000 -10665402091607455727866617/500000000000000000000000000 113675899473652230822999/12500000000000000000000000
-34145982666312916825435743/1000000000000000000000000000 49405863228556997623838239/1000000000000000000000000000 -17411481093107696322452107/250000000000000000000000000 -4770139775666527752592009/200000000000000000000000000 -120982096695837271118781401/1000000000000000000000000000 -60102654000405411884723993/1000000000000000000000000000 1327334174255810027070377/12500000000000000000000000 15431783052362787563744039/500000000000000000000000000 -3289555913074138247381011/250000000000000000000000000
3008408783638284794771637/62500000000000000000000000 -17411481093107696322452107/250000000000000000000000000 49088857725763687515228771/500000000000000000000000000 8405399010926100388599981/250000000000000000000000000 42636184282001095479569547/250000000000000000000000000 21181215206682087494298467/250000000000000000000000000 -37422042436343851752282333/250000000000000000000000000 -5438427369962581209841579/125000000000000000000000000 9274371167114808496720599/500000000000000000000000000
16483985902747095510129297/1000000000000000000000000000 -4770139775666527752592009/200000000000000000000000000 8405399010926100388599981/250000000000000000000000000 58478819687439014713347947/500000000000000000000000000 5840415227339324183107789/100000000000000000000000000 -1404479295487323756745517/250000000000000000000000000 -51261685396824422632806699/1000000000000000000000000000 -6821323576187043293486637/125000000000000000000000000 -10048290815304676378372357/1000000000000000000000000000
83614621964999290038245289/1000000000000000000000000000 -120982096695837271118781401/1000000000000000000000000000 42636184282001095479569547/250000000000000000000000000 5840415227339324183107789/100000000000000000000000000 148126829129673061175012141/500000000000000000000000000 1149810564697301585140289/7812500000000000000000000 -260023666704703238977561839/1000000000000000000000000000 -18894209566100010112669293/250000000000000000000000000 32221063211211502735669487/1000000000000000000000000000
41538879097482616124129013/1000000000000000000000000000 -60102654000405411884723993/1000000000000000000000000000 21181215206682087494298467/250000000000000000000000000 -1404479295487323756745517/250000000000000000000000000 1149810564697301585140289/7812500000000000000000000 32292356209841118695681071/100000000000000000000000000 -129177067306947490431306749/1000000000000000000000000000 -16997058040521790452970961/250000000000000000000000000 -40318341219500946711909931/1000000000000000000000000000
-9173633804731604004098469/125000000000000000000000000 1327334174255810027070377/12500000000000000000000000 -37422042436343851752282333/250000000000000000000000000 -51261685396824422632806699/1000000000000000000000000000 -260023666704703238977561839/1000000000000000000000000000 -129177067306947490431306749/1000000000000000000000000000 228224379215494743385991259/1000000000000000000000000000 33167129002244943057633013/500000000000000000000000000 -28280626230150621067652139/1000000000000000000000000000
-10665402091607455727866617/500000000000000000000000000 15431783052362787563744039/500000000000000000000000000 -5438427369962581209841579/125000000000000000000000000 -6821323576187043293486637/125000000000000000000000000 -18894209566100010112669293/250000000000000000000000000 -16997058040521790452970961/250000000000000000000000000 33167129002244943057633013/500000000000000000000000000 8336786917669305793423103/50000000000000000000000000 -5843529030716129078761137/100000000000000000000000000
113675899473652230822999/12500000000000000000000000 -3289555913074138247381011/250000000000000000000000000 9274371167114808496720599/500000000000000000000000000 -10048290815304676378372357/1000000000000000000000000000 32221063211211502735669487/1000000000000000000000000000 -40318341219500946711909931/1000000000000000000000000000 -28280626230150621067652139/1000000000000000000000000000 -5843529030716129078761137/100000000000000000000000000 98953327222846574669203301/200000000000000000000000000


--- 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 :
7868354678398875921602331/62500000000000000000000000 88770288792389733/12500000000000000000000000 28702166566268380244601153/500000000000000000000000000 -14351083281939478916060613/250000000000000000000000000 -3587770943377759143779661/62500000000000000000000000 -3542360429556330366870339/125000000000000000000000000 -144821808092177073/100000000000000000000000000
88770288792389733/12500000000000000000000000 519232530651303781253695301/62500000000000000000000000 -96120054922688984337378553/250000000000000000000000000 38448021595544295377993611/100000000000000000000000000 -38448022070784947620781563/100000000000000000000000000 1131252843869217757/250000000000000000000000000 -678780042529712853597530933/500000000000000000000000000
28702166566268380244601153/500000000000000000000000000 -96120054922688984337378553/250000000000000000000000000 906152761127096640561204973/500000000000000000000000000 -12784797365404259565287801/31250000000000000000000000 -21867931196390733605982799/100000000000000000000000000 1842971302973644388625233/250000000000000000000000000 104025418394292113344417593/500000000000000000000000000
-14351083281939478916060613/250000000000000000000000000 38448021595544295377993611/100000000000000000000000000 -12784797365404259565287801/31250000000000000000000000 1812305522485525256348103797/1000000000000000000000000000 -236902538806528702497967897/200000000000000000000000000 -737188544462326282858511/100000000000000000000000000 -208050837070494029442824843/1000000000000000000000000000
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-3542360429556330366870339/125000000000000000000000000 1131252843869217757/250000000000000000000000000 1842971302973644388625233/250000000000000000000000000 -737188544462326282858511/100000000000000000000000000 -3685944003307621919890377/500000000000000000000000000 104922828462549923612204777/250000000000000000000000000 -577766366662173669/500000000000000000000000000
-144821808092177073/100000000000000000000000000 -678780042529712853597530933/500000000000000000000000000 104025418394292113344417593/500000000000000000000000000 -208050837070494029442824843/1000000000000000000000000000 208050838575786622005879869/1000000000000000000000000000 -577766366662173669/500000000000000000000000000 116623135485605058814327279/200000000000000000000000000


--- 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 :
775619414137458456175690147/500000000000000000000000000 -200932997167543480675019711/1000000000000000000000000000 -36595395174635052893566067/1000000000000000000000000000 33948022393417094837640399/1000000000000000000000000000 -14936849468450690191126867/62500000000000000000000000 -30993566052893758057922341/200000000000000000000000000 12349634169294170166989199/200000000000000000000000000 -15863200251533887171617/1000000000000000000000000 -223876462630786875053401921/1000000000000000000000000000 -425890884842917647361731/500000000000000000000000000 -33107932863072130731989137/1000000000000000000000000000 -9457204570449284897303233/62500000000000000000000000
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12349634169294170166989199/200000000000000000000000000 -10842027358510148414524531/1000000000000000000000000000 5496609837386283872716303/62500000000000000000000000 7889868510236255789675773/200000000000000000000000000 -13749696040162189846409959/250000000000000000000000000 -26895885003083766919069231/500000000000000000000000000 206432687873439401399007399/1000000000000000000000000000 1509029522105933121204251/200000000000000000000000000 -49418869793366487052692423/500000000000000000000000000 -11555121075442418067775119/250000000000000000000000000 -56566442354679146327596043/1000000000000000000000000000 -140778012819720814816188297/1000000000000000000000000000
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-9457204570449284897303233/62500000000000000000000000 -9182434685822732090274253/1000000000000000000000000000 -46702928032403354410064811/500000000000000000000000000 -78960479511395149318781883/1000000000000000000000000000 -1558307381615000437648703/50000000000000000000000000 17571154473579906312542031/500000000000000000000000000 -140778012819720814816188297/1000000000000000000000000000 -12488039679848864160309383/100000000000000000000000000 31109330342960002605135987/1000000000000000000000000000 32226230569598999948118767/1000000000000000000000000000 38277307232940016851864767/1000000000000000000000000000 586719453838778800526766343/1000000000000000000000000000


--- 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 :
3521306558035048818844515541/1000000000000000000000000000 -3361303620979980296342547/50000000000000000000000000 425416506719943463987526091/1000000000000000000000000000 -76488284958465032414823557/500000000000000000000000000
-3361303620979980296342547/50000000000000000000000000 57401450059846468120518569/125000000000000000000000000 11366892344276591644242279/100000000000000000000000000 98685108532771757177022347/250000000000000000000000000
425416506719943463987526091/1000000000000000000000000000 11366892344276591644242279/100000000000000000000000000 1515870244977463513217146719/500000000000000000000000000 218081923113807221953121163/500000000000000000000000000
-76488284958465032414823557/500000000000000000000000000 98685108532771757177022347/250000000000000000000000000 218081923113807221953121163/500000000000000000000000000 265523605915449929515320307/250000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 13708621947722885268560449/125000000000000000000000000 -10783222652481349054445607/1000000000000000000000000000 -11235949610093181143916023/500000000000000000000000000 -5753484813604702398767983/250000000000000000000000000 0/1
0/1 -10783222652481349054445607/1000000000000000000000000000 44731527335610871768394049/1000000000000000000000000000 -949045400269911837313303/1000000000000000000000000000 -12357323173224423101215183/1000000000000000000000000000 0/1
0/1 -11235949610093181143916023/500000000000000000000000000 -949045400269911837313303/1000000000000000000000000000 91077349599235357443021849/500000000000000000000000000 -14666211783553636842156759/500000000000000000000000000 0/1
0/1 -5753484813604702398767983/250000000000000000000000000 -12357323173224423101215183/1000000000000000000000000000 -14666211783553636842156759/500000000000000000000000000 6604716437810132515652643/125000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- 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 :
220476018725616327641594973/500000000000000000000000000 -184202667428355855566577931/1000000000000000000000000000 -128374685429799155988101061/1000000000000000000000000000 376826760212470331864269/62500000000000000000000000 -3014614075491714205102777/500000000000000000000000000 1205845723811817759710397/200000000000000000000000000 12808682777826312843959261/1000000000000000000000000000 -5726266354193997014074851/1000000000000000000000000000 -30740465143729511848547663/1000000000000000000000000000 4558341525213389845129809/250000000000000000000000000
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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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