#Density : 10518058675206157054171259257/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 7, 8, 11, 12, 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 :
248481720347374106500527603/250000000000000000000000000 64836850531524802455437529/250000000000000000000000000 -85141072488864064955551929/500000000000000000000000000 -224790406425298365338699049/500000000000000000000000000 32284832692500118274173917/125000000000000000000000000 -410350240201478750263851/1250000000000000000000000
64836850531524802455437529/250000000000000000000000000 16918013852167507988209547/250000000000000000000000000 -22216036589479990420008747/500000000000000000000000000 -58655026864521644243958907/500000000000000000000000000 8424148338930463820231831/125000000000000000000000000 -107073539060837163025793/1250000000000000000000000
-85141072488864064955551929/500000000000000000000000000 -22216036589479990420008747/500000000000000000000000000 29173181087204312776927947/1000000000000000000000000000 77023357136700529631854107/1000000000000000000000000000 -11062243438753820788213431/250000000000000000000000000 140604546273965363050593/2500000000000000000000000
-224790406425298365338699049/500000000000000000000000000 -58655026864521644243958907/500000000000000000000000000 77023357136700529631854107/1000000000000000000000000000 203357924076706903977385067/1000000000000000000000000000 -29206658148431299224247111/250000000000000000000000000 371225686713111230935633/2500000000000000000000000
32284832692500118274173917/125000000000000000000000000 8424148338930463820231831/125000000000000000000000000 -11062243438753820788213431/250000000000000000000000000 -29206658148431299224247111/250000000000000000000000000 4194716699987381248001363/62500000000000000000000000 -53316150708033280125989/625000000000000000000000
-410350240201478750263851/1250000000000000000000000 -107073539060837163025793/1250000000000000000000000 140604546273965363050593/2500000000000000000000000 371225686713111230935633/2500000000000000000000000 -53316150708033280125989/625000000000000000000000 677664817347562213667/6250000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 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 :
546586105288473390491733033/500000000000000000000000000 28042694708035415501747613/31250000000000000000000000 -30102421480845126160795881/50000000000000000000000000 846298825020796366815903969/250000000000000000000000000 -109497508436148554479728113/250000000000000000000000000 148488667720961245715528247/500000000000000000000000000 93661645325139315437823209/500000000000000000000000000 -18388316074752322412121527/15625000000000000000000000 -223702503313148531713585313/500000000000000000000000000 46537181817732160345595683/250000000000000000000000000 -554347459912243132786756133/500000000000000000000000000 -82250362216689623046915389/25000000000000000000000000
28042694708035415501747613/31250000000000000000000000 598458267850054041315337151/500000000000000000000000000 -326838718161630959680190431/500000000000000000000000000 599826688949156073334109579/250000000000000000000000000 -115903157791098000465562321/125000000000000000000000000 6471536500443329477287663/15625000000000000000000000 59217974148868618879101183/250000000000000000000000000 -62259914230906179738899993/250000000000000000000000000 -2853125554389527893197029/6250000000000000000000000 115503792246720518785808403/500000000000000000000000000 -773639516024052571797133871/500000000000000000000000000 -424939738352866859316494933/250000000000000000000000000
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-82250362216689623046915389/25000000000000000000000000 -424939738352866859316494933/250000000000000000000000000 374344398093342967361664077/250000000000000000000000000 -1144206740843291547134886559/100000000000000000000000000 191477006709716806554171701/100000000000000000000000000 700271835201447238504292723/500000000000000000000000000 -9191994563916917435556951/4000000000000000000000000 19899899331553086283432537/125000000000000000000000000 -57890395128871203683743081/500000000000000000000000000 28971055933221725059276843/250000000000000000000000000 41299097664863773993500031/50000000000000000000000000 236645937110475764566872973/12500000000000000000000000


--- 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 :
1711332964025494918282247577/1000000000000000000000000000 1542698292198799129533723/200000000000000000000000000 293019322918591573044536217/250000000000000000000000000 45322115955924135228407979/200000000000000000000000000
1542698292198799129533723/200000000000000000000000000 1738351091504522834369/50000000000000000000000000 528290431568433475724769/100000000000000000000000000 204280214148931564067529/200000000000000000000000000
293019322918591573044536217/250000000000000000000000000 528290431568433475724769/100000000000000000000000000 670234509667873281620060289/500000000000000000000000000 5562063894240203319805323/500000000000000000000000000
45322115955924135228407979/200000000000000000000000000 204280214148931564067529/200000000000000000000000000 5562063894240203319805323/500000000000000000000000000 2482226867022928375403730111/1000000000000000000000000000


--- 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 :
83482817433736434098182101/100000000000000000000000000 -85971089633894248460863577/125000000000000000000000000 339029706876337669515291847/500000000000000000000000000 -5605393054086212413356293/125000000000000000000000000 -143455552692715435652508813/500000000000000000000000000 5150587515614861777714773/25000000000000000000000000 139015761032095296262431827/500000000000000000000000000 -123963348967827453239303299/500000000000000000000000000 68276662716086311408047221/500000000000000000000000000 10612350947137808782646923/500000000000000000000000000
-85971089633894248460863577/125000000000000000000000000 1958840555969941475679501567/500000000000000000000000000 -1667107261783412555194872131/500000000000000000000000000 -41066409653765459362908461/500000000000000000000000000 5915628342809398438288131/4000000000000000000000000 -25661544125238911612798397/40000000000000000000000000 -13394556858530206090365983/6250000000000000000000000 -814707687656607258551562619/1000000000000000000000000000 -9485391455396983321244047/50000000000000000000000000 -1904247175561316172952084571/1000000000000000000000000000
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10612350947137808782646923/500000000000000000000000000 -1904247175561316172952084571/1000000000000000000000000000 694536614850049667137294317/500000000000000000000000000 -234199937075464516970141403/1000000000000000000000000000 -17720120194793014500073021/20000000000000000000000000 -36860095107800609031278997/500000000000000000000000000 643484222230978355007544259/500000000000000000000000000 274481159849798951909086563/200000000000000000000000000 -165654594350334451507163027/1000000000000000000000000000 1974062453271813967862565373/1000000000000000000000000000


--- 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 :
1331571369329068950948580231/250000000000000000000000000 -138153527047323427311231247/1000000000000000000000000000 79742663953836199680827823/50000000000000000000000000 -559869246051981284022668033/250000000000000000000000000 -935850213038297724031997273/1000000000000000000000000000 1066383517963867925688195467/200000000000000000000000000
-138153527047323427311231247/1000000000000000000000000000 342003231695608521440829197/125000000000000000000000000 91043989016167618691801397/125000000000000000000000000 204311374299667825279415157/500000000000000000000000000 6068535130614313456355321/250000000000000000000000000 -138299613893512435246322261/1000000000000000000000000000
79742663953836199680827823/50000000000000000000000000 91043989016167618691801397/125000000000000000000000000 3079227397369496942953624319/1000000000000000000000000000 -57607285227339168493547851/125000000000000000000000000 -35027783206369050093230829/125000000000000000000000000 798269852260298178234283157/500000000000000000000000000
-559869246051981284022668033/250000000000000000000000000 204311374299667825279415157/500000000000000000000000000 -57607285227339168493547851/125000000000000000000000000 732240516985558293400459631/500000000000000000000000000 98371323705725529191137707/250000000000000000000000000 -560461262144565642207932417/250000000000000000000000000
-935850213038297724031997273/1000000000000000000000000000 6068535130614313456355321/250000000000000000000000000 -35027783206369050093230829/125000000000000000000000000 98371323705725529191137707/250000000000000000000000000 82216361193347010903714623/500000000000000000000000000 -936839798314621236471302413/1000000000000000000000000000
1066383517963867925688195467/200000000000000000000000000 -138299613893512435246322261/1000000000000000000000000000 798269852260298178234283157/500000000000000000000000000 -560461262144565642207932417/250000000000000000000000000 -936839798314621236471302413/1000000000000000000000000000 166798614306938884197003213/31250000000000000000000000


--- 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 :
2512944245102954327550221223/1000000000000000000000000000 726208327216456969339914843/1000000000000000000000000000 124522064820645832900336553/200000000000000000000000000 -37674342253950016247633843/250000000000000000000000000 -505626804283732961918219443/1000000000000000000000000000 -173670471826964460215813153/250000000000000000000000000 522740874142985242630851231/1000000000000000000000000000 -111363884603527269041654769/125000000000000000000000000 -311458892464608372616235503/100000000000000000000000000
726208327216456969339914843/1000000000000000000000000000 107631080302181291249877197/250000000000000000000000000 1379792642940651986193633/200000000000000000000000000 -132530021575888252411923877/1000000000000000000000000000 -325363790190075248180992413/1000000000000000000000000000 -101185032160831601583924273/250000000000000000000000000 292178144000627039185060071/1000000000000000000000000000 -136532882855810741988291757/1000000000000000000000000000 -193152153303533159404521591/200000000000000000000000000
124522064820645832900336553/200000000000000000000000000 1379792642940651986193633/200000000000000000000000000 67833185349496023729692713/100000000000000000000000000 14600003041736889738757277/200000000000000000000000000 38090948073971969455783359/100000000000000000000000000 10218133967411794322623437/100000000000000000000000000 -53359052446038017929022917/200000000000000000000000000 -120056064061444898690666517/200000000000000000000000000 -59197490307723056725362003/100000000000000000000000000
-37674342253950016247633843/250000000000000000000000000 -132530021575888252411923877/1000000000000000000000000000 14600003041736889738757277/200000000000000000000000000 3330960613046026540737909/31250000000000000000000000 140788125412477618769705247/1000000000000000000000000000 67928975458719347326983069/500000000000000000000000000 -59042782819325242408213597/500000000000000000000000000 -12537075263067923117276711/500000000000000000000000000 9066116910261682576100793/40000000000000000000000000
-505626804283732961918219443/1000000000000000000000000000 -325363790190075248180992413/1000000000000000000000000000 38090948073971969455783359/100000000000000000000000000 140788125412477618769705247/1000000000000000000000000000 295770652678474529998912609/500000000000000000000000000 206559136008016200520120361/500000000000000000000000000 -488723716261426345349838961/1000000000000000000000000000 -187007358896114924176345143/1000000000000000000000000000 8007199867563165451140029/10000000000000000000000000
-173670471826964460215813153/250000000000000000000000000 -101185032160831601583924273/250000000000000000000000000 10218133967411794322623437/100000000000000000000000000 67928975458719347326983069/500000000000000000000000000 206559136008016200520120361/500000000000000000000000000 103568503691933509107837227/250000000000000000000000000 -2805116915597630222292793/7812500000000000000000000 25335703440051328475066019/500000000000000000000000000 23986579932956237489846371/25000000000000000000000000
522740874142985242630851231/1000000000000000000000000000 292178144000627039185060071/1000000000000000000000000000 -53359052446038017929022917/200000000000000000000000000 -59042782819325242408213597/500000000000000000000000000 -488723716261426345349838961/1000000000000000000000000000 -2805116915597630222292793/7812500000000000000000000 409079258279915900010021027/1000000000000000000000000000 50708050190819263347877503/500000000000000000000000000 -78418461015473701292307097/100000000000000000000000000
-111363884603527269041654769/125000000000000000000000000 -136532882855810741988291757/1000000000000000000000000000 -120056064061444898690666517/200000000000000000000000000 -12537075263067923117276711/500000000000000000000000000 -187007358896114924176345143/1000000000000000000000000000 25335703440051328475066019/500000000000000000000000000 50708050190819263347877503/500000000000000000000000000 147712156835067630208424687/250000000000000000000000000 194847732657997769552502129/200000000000000000000000000
-311458892464608372616235503/100000000000000000000000000 -193152153303533159404521591/200000000000000000000000000 -59197490307723056725362003/100000000000000000000000000 9066116910261682576100793/40000000000000000000000000 8007199867563165451140029/10000000000000000000000000 23986579932956237489846371/25000000000000000000000000 -78418461015473701292307097/100000000000000000000000000 194847732657997769552502129/200000000000000000000000000 784428524720032470456010621/200000000000000000000000000


--- 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 :
2304114826309683571069421/2500000000000000000000000 173065909777148531/1000000000000000000000000000 -61975280467652830360715799/100000000000000000000000000 154938201200878951558582741/250000000000000000000000000 619752804283784242760368353/1000000000000000000000000000 110836222179231702997678461/100000000000000000000000000 427037773016147/20000000000000000000000000
173065909777148531/1000000000000000000000000000 198751463199084138697566817/250000000000000000000000000 21653709004838557973760341/125000000000000000000000000 -173229672769844133189054949/1000000000000000000000000000 43307418643299411885913757/250000000000000000000000000 464551796544637653/1000000000000000000000000000 796050086799940004691579091/1000000000000000000000000000
-61975280467652830360715799/100000000000000000000000000 21653709004838557973760341/125000000000000000000000000 264409090560579168189591217/200000000000000000000000000 -532088972605111220810182921/1000000000000000000000000000 -643776707906662057614675473/1000000000000000000000000000 -372654276799234995550030221/500000000000000000000000000 21682151074789563085846527/125000000000000000000000000
154938201200878951558582741/250000000000000000000000000 -173229672769844133189054949/1000000000000000000000000000 -532088972605111220810182921/1000000000000000000000000000 1322045454218583651912077437/1000000000000000000000000000 -4568117950491719450187553/31250000000000000000000000 372654276888317023198244517/500000000000000000000000000 -43364302209785942520845467/250000000000000000000000000
619752804283784242760368353/1000000000000000000000000000 43307418643299411885913757/250000000000000000000000000 -643776707906662057614675473/1000000000000000000000000000 -4568117950491719450187553/31250000000000000000000000 1322045455276304430959726729/1000000000000000000000000000 149061710737724655404424369/200000000000000000000000000 173457210101704736632411611/1000000000000000000000000000
110836222179231702997678461/100000000000000000000000000 464551796544637653/1000000000000000000000000000 -372654276799234995550030221/500000000000000000000000000 372654276888317023198244517/500000000000000000000000000 149061710737724655404424369/200000000000000000000000000 1332905375058866325727998099/1000000000000000000000000000 282438836493215769/1000000000000000000000000000
427037773016147/20000000000000000000000000 796050086799940004691579091/1000000000000000000000000000 21682151074789563085846527/125000000000000000000000000 -43364302209785942520845467/250000000000000000000000000 173457210101704736632411611/1000000000000000000000000000 282438836493215769/1000000000000000000000000000 79709569239678449382653183/100000000000000000000000000


--- 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 :
732784171266225159075488981/1000000000000000000000000000 -112356757309299843868157239/1000000000000000000000000000 -8065180900389149437242659/100000000000000000000000000 -308177766022646727722145599/1000000000000000000000000000 114697351662139265226481233/125000000000000000000000000 -1580421532832521152508169/100000000000000000000000000 -51950438128411473559547827/50000000000000000000000000 -506784267823419738503005049/1000000000000000000000000000 540936157680612528883427921/500000000000000000000000000 -146739693781408473184226489/500000000000000000000000000 159578964730184944375817761/1000000000000000000000000000 -11123786689799380339926129/100000000000000000000000000
-112356757309299843868157239/1000000000000000000000000000 14678211402523281915045349/20000000000000000000000000 -7511822948479988533217751/40000000000000000000000000 27395510387990399918164123/250000000000000000000000000 -8918846394707154478401763/250000000000000000000000000 47193033932147128817736529/500000000000000000000000000 47745409834166400823076659/1000000000000000000000000000 210504924601161699882536169/1000000000000000000000000000 -23296473754867399261799963/100000000000000000000000000 20134933743213387010843341/200000000000000000000000000 -35901294239104144000512599/500000000000000000000000000 -287664495045229293184195443/1000000000000000000000000000
-8065180900389149437242659/100000000000000000000000000 -7511822948479988533217751/40000000000000000000000000 736712348818904921976711539/1000000000000000000000000000 -138372011454693695202103469/1000000000000000000000000000 19006921510359877657606311/62500000000000000000000000 -2002504853184192176604963/50000000000000000000000000 -347084167082779492693364919/1000000000000000000000000000 -59698997299774549445404637/250000000000000000000000000 107358300810539632862473673/250000000000000000000000000 -26081182509584055072679129/200000000000000000000000000 63687163245481416115193499/1000000000000000000000000000 14306410494347981338781573/200000000000000000000000000
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159578964730184944375817761/1000000000000000000000000000 -35901294239104144000512599/500000000000000000000000000 63687163245481416115193499/1000000000000000000000000000 -25343103891963660515200313/62500000000000000000000000 71190703417217648696589831/62500000000000000000000000 -20823822752022227825101953/500000000000000000000000000 -1291516669641643007942312309/1000000000000000000000000000 -673927846717883690280540691/1000000000000000000000000000 693923131199228893813101547/500000000000000000000000000 -385285322935844458829438961/1000000000000000000000000000 1132741252231590473919139/2500000000000000000000000 -69492755980051572870995159/1000000000000000000000000000
-11123786689799380339926129/100000000000000000000000000 -287664495045229293184195443/1000000000000000000000000000 14306410494347981338781573/200000000000000000000000000 -8671517257325927448065311/250000000000000000000000000 -235226993989018595166631037/500000000000000000000000000 -177030933776308295727890797/1000000000000000000000000000 518203758074212121888917179/1000000000000000000000000000 -23373125556274475872757097/200000000000000000000000000 -177790818621624276131882859/1000000000000000000000000000 -206115835386279060822173/8000000000000000000000000 -69492755980051572870995159/1000000000000000000000000000 39594364900968241786339513/62500000000000000000000000


--- 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 :
64660892576258668260714363/15625000000000000000000000 44070902460910421993244789/62500000000000000000000000 135377962287761933390208531/62500000000000000000000000 1553640242944461707902509/31250000000000000000000000
44070902460910421993244789/62500000000000000000000000 951213657562668451213891599/250000000000000000000000000 135201856318473753517141623/50000000000000000000000000 632611573910370097985799477/250000000000000000000000000
135377962287761933390208531/62500000000000000000000000 135201856318473753517141623/50000000000000000000000000 1199926885083813749694361811/250000000000000000000000000 268410037141025113122774177/250000000000000000000000000
1553640242944461707902509/31250000000000000000000000 632611573910370097985799477/250000000000000000000000000 268410037141025113122774177/250000000000000000000000000 58292995164099467662490589/31250000000000000000000000


--- 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 :
15506236325449538101658169/250000000000000000000000000 2895627032640824732708283/50000000000000000000000000 23268905833428544062681999/250000000000000000000000000 1020801355128670670427663/15625000000000000000000000 -30601679160851894589407739/500000000000000000000000000 -41431123891147532177405133/500000000000000000000000000
2895627032640824732708283/50000000000000000000000000 13518199607210665336645737/250000000000000000000000000 21726120814562249982137397/250000000000000000000000000 3812478975334167892165599/62500000000000000000000000 -28572713443342683711332061/500000000000000000000000000 -38684139662891378519675643/500000000000000000000000000
23268905833428544062681999/250000000000000000000000000 21726120814562249982137397/250000000000000000000000000 5125698454154535822427707/31250000000000000000000000 24509293020964206643615869/250000000000000000000000000 -1836854735823447453826167/20000000000000000000000000 -62172206084515920555590961/500000000000000000000000000
1020801355128670670427663/15625000000000000000000000 3812478975334167892165599/62500000000000000000000000 24509293020964206643615869/250000000000000000000000000 17203469526651508136647719/250000000000000000000000000 -16116475926703532567558763/250000000000000000000000000 -4363967789467946236014789/50000000000000000000000000
-30601679160851894589407739/500000000000000000000000000 -28572713443342683711332061/500000000000000000000000000 -1836854735823447453826167/20000000000000000000000000 -16116475926703532567558763/250000000000000000000000000 60392654143078676205480477/1000000000000000000000000000 81764648363415560763702027/1000000000000000000000000000
-41431123891147532177405133/500000000000000000000000000 -38684139662891378519675643/500000000000000000000000000 -62172206084515920555590961/500000000000000000000000000 -4363967789467946236014789/50000000000000000000000000 81764648363415560763702027/1000000000000000000000000000 110699849457753703334482893/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 90835874785982171671050029/250000000000000000000000000 -74821713450079128084217631/250000000000000000000000000 -4003540653833121843845037/125000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -74821713450079128084217631/250000000000000000000000000 90835874576146575353541931/250000000000000000000000000 -160141604147761058262129/5000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -4003540653833121843845037/125000000000000000000000000 -160141604147761058262129/5000000000000000000000000 90835876271578777793556237/250000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1


--- 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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131077530599500938280893/31250000000000000000000000 40145060375772525716007/500000000000000000000000000 -42002987813373059368131/31250000000000000000000000 -2529313300273413575231019/500000000000000000000000000 -233274673842719880960141/250000000000000000000000000 1002371745366289148508807/125000000000000000000000000
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-12186632959321251834680547/250000000000000000000000000 -233274673842719880960141/250000000000000000000000000 -165613551518911316247591/10000000000000000000000000 14697319145121689159842611/250000000000000000000000000 3225768851393319624921559/31250000000000000000000000 -23298303842615111742018479/250000000000000000000000000
209461845649521928637913807/500000000000000000000000000 1002371745366289148508807/125000000000000000000000000 -67120755137980719429474189/500000000000000000000000000 -126307553838095085379968903/250000000000000000000000000 -23298303842615111742018479/250000000000000000000000000 400447420032787348193408587/500000000000000000000000000


--- 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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