#Density : 2025512750877008997328951799/12000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 10, 12, 13, 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 :
25737184264886222264011909/500000000000000000000000000 -19462824536563998800524699/125000000000000000000000000 3690739040170792006172963/50000000000000000000000000 -20836481353992561061071201/500000000000000000000000000 13836642335275237276035259/125000000000000000000000000 23303029595008760518167521/250000000000000000000000000
-19462824536563998800524699/125000000000000000000000000 14718064534273256979512389/31250000000000000000000000 -2790989317626828791938493/12500000000000000000000000 15756843343015846703912511/125000000000000000000000000 -10463465590292520115936549/31250000000000000000000000 -17622082179237897634948031/62500000000000000000000000
3690739040170792006172963/50000000000000000000000000 -2790989317626828791938493/12500000000000000000000000 529255823886880680077941/5000000000000000000000000 -2987973136513232880192807/50000000000000000000000000 1984188927821162016576413/12500000000000000000000000 3341678724268728834875047/25000000000000000000000000
-20836481353992561061071201/500000000000000000000000000 15756843343015846703912511/125000000000000000000000000 -2987973136513232880192807/50000000000000000000000000 16868937594218952537752589/500000000000000000000000000 -11201961218973349173744351/125000000000000000000000000 -18865822175830910410749069/250000000000000000000000000
13836642335275237276035259/125000000000000000000000000 -10463465590292520115936549/31250000000000000000000000 1984188927821162016576413/12500000000000000000000000 -11201961218973349173744351/125000000000000000000000000 7438757446964928768111109/31250000000000000000000000 12528009378025696449048671/62500000000000000000000000
23303029595008760518167521/250000000000000000000000000 -17622082179237897634948031/62500000000000000000000000 3341678724268728834875047/25000000000000000000000000 -18865822175830910410749069/250000000000000000000000000 12528009378025696449048671/62500000000000000000000000 21099090821940570352379149/125000000000000000000000000


--- Term 2 ---

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

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

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

Matrix :
73093390254511423374168547/500000000000000000000000000 3178606007595765424166507/500000000000000000000000000 -2235479758102721004730759/25000000000000000000000000 -7310535658444072596625873/62500000000000000000000000 -3828650848818905560389673/100000000000000000000000000 42393316875669470258664807/500000000000000000000000000
3178606007595765424166507/500000000000000000000000000 3668869712662136547943867/500000000000000000000000000 -17239795150276486383769/3125000000000000000000000 -771376370899881831704363/62500000000000000000000000 2080784680642403128154587/100000000000000000000000000 -20223754098141870275889333/500000000000000000000000000
-2235479758102721004730759/25000000000000000000000000 -17239795150276486383769/3125000000000000000000000 13767785288184094447306913/250000000000000000000000000 915249956844895992612301/12500000000000000000000000 182372893492023045841883/10000000000000000000000000 -2084283140933269655432349/50000000000000000000000000
-7310535658444072596625873/62500000000000000000000000 -771376370899881831704363/62500000000000000000000000 915249956844895992612301/12500000000000000000000000 1578829199294434514807639/15625000000000000000000000 23573648411533565750083/3125000000000000000000000 -351443774102469201136047/15625000000000000000000000
-3828650848818905560389673/100000000000000000000000000 2080784680642403128154587/100000000000000000000000000 182372893492023045841883/10000000000000000000000000 23573648411533565750083/3125000000000000000000000 1630957391370290314152157/20000000000000000000000000 -16266585543194241567423363/100000000000000000000000000
42393316875669470258664807/500000000000000000000000000 -20223754098141870275889333/500000000000000000000000000 -2084283140933269655432349/50000000000000000000000000 -351443774102469201136047/15625000000000000000000000 -16266585543194241567423363/100000000000000000000000000 162513288319971787338018717/500000000000000000000000000


--- 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 :
492141959371091002013304913/500000000000000000000000000 77472126353486132356794289/500000000000000000000000000 179725862309174743910160647/250000000000000000000000000 210048153034360094841075639/500000000000000000000000000 120271643354913900926461519/500000000000000000000000000 -884864334890895300958657667/500000000000000000000000000 -511340525217622710750656859/500000000000000000000000000 233259324476638868554045731/500000000000000000000000000 -1627439586751373521933939/1562500000000000000000000 -51988773741243431949819649/100000000000000000000000000 119214212540625940621243483/500000000000000000000000000 112689550360409165475754781/500000000000000000000000000
77472126353486132356794289/500000000000000000000000000 192428559097850074435049367/1000000000000000000000000000 61591181093096046656752193/200000000000000000000000000 166242582880610129999798017/1000000000000000000000000000 12471332082629081511016297/125000000000000000000000000 -339947545429379570864320191/500000000000000000000000000 -460689435138189980741650289/1000000000000000000000000000 12693736440821258894143211/40000000000000000000000000 -12690234489403358102113923/25000000000000000000000000 -38325439882371472605942017/200000000000000000000000000 65911974769197660506220917/500000000000000000000000000 269626963397327960243875483/1000000000000000000000000000
179725862309174743910160647/250000000000000000000000000 61591181093096046656752193/200000000000000000000000000 202830361143616822460488689/250000000000000000000000000 109600951057856220700225969/200000000000000000000000000 -6207282464390104433740783/250000000000000000000000000 -1861107491991297833537998367/1000000000000000000000000000 -475963561503766755760188379/1000000000000000000000000000 801262343361979866453061819/1000000000000000000000000000 -229334888317600830270286771/200000000000000000000000000 -87756799440596189312454001/100000000000000000000000000 67643526520541815636290849/200000000000000000000000000 2380758403917891969897917/5000000000000000000000000
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112689550360409165475754781/500000000000000000000000000 269626963397327960243875483/1000000000000000000000000000 2380758403917891969897917/5000000000000000000000000 318726303651271832596147023/1000000000000000000000000000 -19674129890663603731015333/500000000000000000000000000 -1032997970928235863515118193/1000000000000000000000000000 -241406702598858067986611141/1000000000000000000000000000 112934525362508301842835913/200000000000000000000000000 -141820719448509276381909523/200000000000000000000000000 -6474381670950045773147471/12500000000000000000000000 222330414324451876083945751/1000000000000000000000000000 274397164510458441841089951/500000000000000000000000000


--- 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 :
1120581389840760891727661809/1000000000000000000000000000 723985242592231167333362629/1000000000000000000000000000 52826588960173675990905107/1000000000000000000000000000 -1508014939601911195150618247/1000000000000000000000000000
723985242592231167333362629/1000000000000000000000000000 467752397321015913887307049/1000000000000000000000000000 34130203455445822443853967/1000000000000000000000000000 -974298316729626308953324307/1000000000000000000000000000
52826588960173675990905107/1000000000000000000000000000 34130203455445822443853967/1000000000000000000000000000 2490357707585796728787961/1000000000000000000000000000 -71091030140587795208100181/1000000000000000000000000000
-1508014939601911195150618247/1000000000000000000000000000 -974298316729626308953324307/1000000000000000000000000000 -71091030140587795208100181/1000000000000000000000000000 2029401057950566075913716801/1000000000000000000000000000


--- 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 :
6212109435979733395411886491/1000000000000000000000000000 2346785750538682328197286219/1000000000000000000000000000 2385417728563326606571668841/1000000000000000000000000000 211850643280420666103180401/500000000000000000000000000 1305413749271464731514895113/1000000000000000000000000000 -4429600758794839595625971943/1000000000000000000000000000 -2428824250587058928778262733/1000000000000000000000000000 -294807832835981483438561409/100000000000000000000000000 -995552861118303814516667951/500000000000000000000000000 -1962454729830519279858762769/1000000000000000000000000000
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-1962454729830519279858762769/1000000000000000000000000000 -1367748077242285083911127629/1000000000000000000000000000 -1199189942315022778179051199/1000000000000000000000000000 -5094190395380627293743239/7812500000000000000000000 87734400546032946817399093/200000000000000000000000000 1257173483152074773372447211/1000000000000000000000000000 1381873555302991718332150539/1000000000000000000000000000 131579527751664254737560257/250000000000000000000000000 323415193761721018998551049/500000000000000000000000000 1363307048837851813273202611/1000000000000000000000000000


--- 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 :
134845695910926230104912933/1000000000000000000000000000 -601759862718175602289442269/1000000000000000000000000000 661121882318803922931502553/1000000000000000000000000000 165857896798272529710233977/1000000000000000000000000000 169649537521978887122154989/250000000000000000000000000 10584609572350318877679983/125000000000000000000000000
-601759862718175602289442269/1000000000000000000000000000 3841750440295339083851996241/1000000000000000000000000000 -5860649838506062027113789493/1000000000000000000000000000 -1936443657822515268444250233/1000000000000000000000000000 -120824532312409220244739907/31250000000000000000000000 -28078535673767182494728669/62500000000000000000000000
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169649537521978887122154989/250000000000000000000000000 -120824532312409220244739907/31250000000000000000000000 169886188705859342574053831/31250000000000000000000000 425424478415907306804222923/250000000000000000000000000 502799939509579056122703377/125000000000000000000000000 59732717835315138972734557/125000000000000000000000000
10584609572350318877679983/125000000000000000000000000 -28078535673767182494728669/62500000000000000000000000 18587615142423952144420333/31250000000000000000000000 22249466572684748015922989/125000000000000000000000000 59732717835315138972734557/125000000000000000000000000 7538951477484167363659783/62500000000000000000000000


--- 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 :
2002669086882426008519488699/1000000000000000000000000000 -12280872389961689534339271/50000000000000000000000000 242449386685101647526572277/500000000000000000000000000 1000547491943006260601265769/1000000000000000000000000000 -625334950701657974042357391/500000000000000000000000000 441267283179144167246370767/500000000000000000000000000 -516733140989274989491580913/1000000000000000000000000000 -351705888823569095251527289/500000000000000000000000000 -146464453240536402204103993/1000000000000000000000000000
-12280872389961689534339271/50000000000000000000000000 23087443553373810457914911/62500000000000000000000000 -33698505988051290565953441/125000000000000000000000000 -84731658952630784583367981/250000000000000000000000000 16978046163866119273871599/125000000000000000000000000 -64593150891216073213046811/125000000000000000000000000 -612607381020880650630883/50000000000000000000000000 23414858018319132122873659/125000000000000000000000000 60348298832174842916589221/250000000000000000000000000
242449386685101647526572277/500000000000000000000000000 -33698505988051290565953441/125000000000000000000000000 61883822395747114385280687/250000000000000000000000000 188081613910118489097994803/500000000000000000000000000 -72985587014190097719014457/250000000000000000000000000 116669574500915779672111077/250000000000000000000000000 -39138968293327853563318599/500000000000000000000000000 -58223837927452887150947361/250000000000000000000000000 -17383602129194036398390863/100000000000000000000000000
1000547491943006260601265769/1000000000000000000000000000 -84731658952630784583367981/250000000000000000000000000 188081613910118489097994803/500000000000000000000000000 127534068108442370338681611/200000000000000000000000000 -61365013044283493217018697/100000000000000000000000000 350627437308354731650086113/500000000000000000000000000 -209967741899206977240765203/1000000000000000000000000000 -207913099828021461833610873/500000000000000000000000000 -215562866770731473483021759/1000000000000000000000000000
-625334950701657974042357391/500000000000000000000000000 16978046163866119273871599/125000000000000000000000000 -72985587014190097719014457/250000000000000000000000000 -61365013044283493217018697/100000000000000000000000000 7819545464162778924265691/10000000000000000000000000 -132499002664813070183830347/250000000000000000000000000 163307899837415657061074717/500000000000000000000000000 108512620468817609597875457/250000000000000000000000000 39950210331734406855469741/500000000000000000000000000
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-146464453240536402204103993/1000000000000000000000000000 60348298832174842916589221/250000000000000000000000000 -17383602129194036398390863/100000000000000000000000000 -215562866770731473483021759/1000000000000000000000000000 39950210331734406855469741/500000000000000000000000000 -33356627302709007844560613/100000000000000000000000000 -12013079689382106613585709/1000000000000000000000000000 58994794837892110850502077/500000000000000000000000000 157851673376859774147201687/1000000000000000000000000000


--- 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 :
34308612302658656450299303/62500000000000000000000000 -66224438281760923/250000000000000000000000000 27254850812719694950514941/62500000000000000000000000 -27254850812719694950514941/62500000000000000000000000 -109019403035699889551058227/250000000000000000000000000 -30347794124509397379219271/50000000000000000000000000 -93757364777526169/125000000000000000000000000
-66224438281760923/250000000000000000000000000 736910391900000583016485559/500000000000000000000000000 1654431165118682623415819/250000000000000000000000000 -1654431165118682623415819/250000000000000000000000000 3308862830192272525815691/500000000000000000000000000 -29730529717137127/100000000000000000000000000 198530791092703729027224077/250000000000000000000000000
27254850812719694950514941/62500000000000000000000000 1654431165118682623415819/250000000000000000000000000 21653181520617344154734527/62500000000000000000000000 -21653181520617344154734527/62500000000000000000000000 -86597868513377415991470269/250000000000000000000000000 -24108366554338461102901177/50000000000000000000000000 445719706477683483326057/125000000000000000000000000
-27254850812719694950514941/62500000000000000000000000 -1654431165118682623415819/250000000000000000000000000 -21653181520617344154734527/62500000000000000000000000 21653181520617344154734527/62500000000000000000000000 86597868513377415991470269/250000000000000000000000000 24108366554338461102901177/50000000000000000000000000 -445719706477683483326057/125000000000000000000000000
-109019403035699889551058227/250000000000000000000000000 3308862830192272525815691/500000000000000000000000000 -86597868513377415991470269/250000000000000000000000000 86597868513377415991470269/250000000000000000000000000 173225451483784065083789759/500000000000000000000000000 48216733012978308415395997/100000000000000000000000000 891439788879084014618473/250000000000000000000000000
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-93757364777526169/125000000000000000000000000 198530791092703729027224077/250000000000000000000000000 445719706477683483326057/125000000000000000000000000 -445719706477683483326057/125000000000000000000000000 891439788879084014618473/250000000000000000000000000 25566117580400099/50000000000000000000000000 53486116419489102324937631/125000000000000000000000000


--- 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 :
178857666177022157549150303/25000000000000000000000000 2026867082483911549077952351/1000000000000000000000000000 4638830137088162080882063743/1000000000000000000000000000 3463449678984258047840255699/1000000000000000000000000000 -3311634416647127469304607833/500000000000000000000000000 -318157984232374860308443423/200000000000000000000000000 -3506451498309528091778465993/1000000000000000000000000000 -1282374794411206528175575461/500000000000000000000000000 -2669854245829375740089757603/1000000000000000000000000000 -1531738137793648076158370227/1000000000000000000000000000 13050078519635996171705297/50000000000000000000000000 -94041297783452845512465241/62500000000000000000000000
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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 :
1223666289660632893505103033/250000000000000000000000000 2959029438087057192802953/100000000000000000000000000 48901910239722719755674061/125000000000000000000000000 -965766122314491065969163849/500000000000000000000000000
2959029438087057192802953/100000000000000000000000000 178885683324130094074467/1000000000000000000000000000 1182529926236161206949127/500000000000000000000000000 -11676918823302377152029507/1000000000000000000000000000
48901910239722719755674061/125000000000000000000000000 1182529926236161206949127/500000000000000000000000000 31862204151212053175751221/100000000000000000000000000 -77190666495925302977971553/500000000000000000000000000
-965766122314491065969163849/500000000000000000000000000 -11676918823302377152029507/1000000000000000000000000000 -77190666495925302977971553/500000000000000000000000000 762221049064807751140750779/1000000000000000000000000000


--- Term 16 ---

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

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

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

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 13233719129739086172193449/1000000000000000000000000000 -412715827285413219395751/125000000000000000000000000 0/1 0/1 0/1
0/1 -412715827285413219395751/125000000000000000000000000 32811704833699910838109511/1000000000000000000000000000 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 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 :
64920087791032785954706169/500000000000000000000000000 -94979752628101462864220871/1000000000000000000000000000 -8715105843123572401207209/500000000000000000000000000 803897050201774068544063/250000000000000000000000000 -200974221924052093470571/62500000000000000000000000 401948442599915872800879/125000000000000000000000000 1337092368246561068566573/200000000000000000000000000 -3365435505163935584778317/1000000000000000000000000000 -1098548652609179563752217/250000000000000000000000000 775962991859649975997247/200000000000000000000000000
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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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