#Density : 1807598775116370604599906651/8000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

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


--- Term 1 ---

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

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

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

Matrix :
55402924702780217811536247/100000000000000000000000000 1815932933022007628376147/125000000000000000000000000 -60355847934369518374188303/250000000000000000000000000 -379277333368700543567777157/500000000000000000000000000 52100023587623230217119569/250000000000000000000000000 -52100023587623230217119569/250000000000000000000000000
1815932933022007628376147/125000000000000000000000000 13024171079538136475659731/500000000000000000000000000 -1153708642490598035847459/250000000000000000000000000 -12410300035539917879286267/250000000000000000000000000 -2595402624972644191183551/62500000000000000000000000 2595402624972644191183551/62500000000000000000000000
-60355847934369518374188303/250000000000000000000000000 -1153708642490598035847459/250000000000000000000000000 111449668367602578505235961/1000000000000000000000000000 313962801855414285806760309/1000000000000000000000000000 -15685274244585823725689397/200000000000000000000000000 15685274244585823725689397/200000000000000000000000000
-379277333368700543567777157/500000000000000000000000000 -12410300035539917879286267/250000000000000000000000000 313962801855414285806760309/1000000000000000000000000000 1107805774570056754854807207/1000000000000000000000000000 -267821524765287636520482141/1000000000000000000000000000 267821524765287636520482141/1000000000000000000000000000
52100023587623230217119569/250000000000000000000000000 -2595402624972644191183551/62500000000000000000000000 -15685274244585823725689397/200000000000000000000000000 -267821524765287636520482141/1000000000000000000000000000 203732221541761303829157521/1000000000000000000000000000 -203732221541761303829157521/1000000000000000000000000000
-52100023587623230217119569/250000000000000000000000000 2595402624972644191183551/62500000000000000000000000 15685274244585823725689397/200000000000000000000000000 267821524765287636520482141/1000000000000000000000000000 -203732221541761303829157521/1000000000000000000000000000 203732221541761303829157521/1000000000000000000000000000


--- 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 :
5736037481496895995897529/125000000000000000000000000 -9273611951543068294430957/250000000000000000000000000 -11935487304927120788849541/250000000000000000000000000 415062830631504487371123/10000000000000000000000000 6611736618343886797575323/250000000000000000000000000 -6611736618343886797575323/250000000000000000000000000
-9273611951543068294430957/250000000000000000000000000 76832951351684111429554907/1000000000000000000000000000 58761894457444865124424731/1000000000000000000000000000 -6420161283414331350783513/50000000000000000000000000 -47452004229137803749582979/500000000000000000000000000 47452004229137803749582979/500000000000000000000000000
-11935487304927120788849541/250000000000000000000000000 58761894457444865124424731/1000000000000000000000000000 61768316728588220153296603/1000000000000000000000000000 -921457828112007933294433/10000000000000000000000000 -27877736168220401658990667/500000000000000000000000000 27877736168220401658990667/500000000000000000000000000
415062830631504487371123/10000000000000000000000000 -6420161283414331350783513/50000000000000000000000000 -921457828112007933294433/10000000000000000000000000 24892932816637177936983523/100000000000000000000000000 16466066890290186580226297/100000000000000000000000000 -16466066890290186580226297/100000000000000000000000000
6611736618343886797575323/250000000000000000000000000 -47452004229137803749582979/500000000000000000000000000 -27877736168220401658990667/500000000000000000000000000 16466066890290186580226297/100000000000000000000000000 67026272427337809296532141/500000000000000000000000000 -67026272427337809296532141/500000000000000000000000000
-6611736618343886797575323/250000000000000000000000000 47452004229137803749582979/500000000000000000000000000 27877736168220401658990667/500000000000000000000000000 -16466066890290186580226297/100000000000000000000000000 -67026272427337809296532141/500000000000000000000000000 67026272427337809296532141/500000000000000000000000000


--- 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 :
1523321/250000000 -1523321/250000000 -1523321/250000000 1523321/250000000
-1523321/250000000 1523321/250000000 1523321/250000000 -1523321/250000000
-1523321/250000000 1523321/250000000 1523321/250000000 -1523321/250000000
1523321/250000000 -1523321/250000000 -1523321/250000000 1523321/250000000


--- 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 :
2294662331826008846283307/500000000000000000000000000 -2294662331826008846283307/500000000000000000000000000 2294662331826008846283307/500000000000000000000000000
-2294662331826008846283307/500000000000000000000000000 2294662331826008846283307/500000000000000000000000000 -2294662331826008846283307/500000000000000000000000000
2294662331826008846283307/500000000000000000000000000 -2294662331826008846283307/500000000000000000000000000 2294662331826008846283307/500000000000000000000000000


--- 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 :
5357081983599930801194757/500000000000000000000000000 -217920335107790098084869/31250000000000000000000000 -1083294904528494118347219/100000000000000000000000000
-217920335107790098084869/31250000000000000000000000 664404327614974949183363/125000000000000000000000000 644535526619540249427539/250000000000000000000000000
-1083294904528494118347219/100000000000000000000000000 644535526619540249427539/250000000000000000000000000 286844323024496374311239/7812500000000000000000000


--- 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 :
2042869778778425529900465103/1000000000000000000000000000 -40320942026748438647344423/500000000000000000000000000 248390658035780386712602703/500000000000000000000000000 -276804202218632139861319437/200000000000000000000000000 -7925440154635869031412419/31250000000000000000000000 -155427899354425323354682763/250000000000000000000000000 366026857264681186764582029/1000000000000000000000000000 -394606980464652082702673159/200000000000000000000000000 -120989263792351497794906337/250000000000000000000000000 53308279292798066499319541/125000000000000000000000000 144643148418007025917683503/500000000000000000000000000 -39405605853815240324443643/500000000000000000000000000
-40320942026748438647344423/500000000000000000000000000 381643234872146800152544299/1000000000000000000000000000 -98320467488476042265864743/500000000000000000000000000 118926083465036060966660949/200000000000000000000000000 -144898317640283476350980301/1000000000000000000000000000 -277713084969211483121562463/1000000000000000000000000000 -214574275791542600927539563/1000000000000000000000000000 75996085655472421009154641/500000000000000000000000000 2895425777251816949768001/20000000000000000000000000 -15116728802132026445138381/100000000000000000000000000 -61925815942602831139147081/1000000000000000000000000000 -194740583229975059483757371/1000000000000000000000000000
248390658035780386712602703/500000000000000000000000000 -98320467488476042265864743/500000000000000000000000000 41046044127955355596947601/62500000000000000000000000 -962071548429548242117435869/500000000000000000000000000 50083972151300650944259949/125000000000000000000000000 -71985995147057790061999763/1000000000000000000000000000 295784332913768209790248651/500000000000000000000000000 -519112623374620489166401771/1000000000000000000000000000 -545293091412679189141139043/1000000000000000000000000000 628419551048456060578847581/1000000000000000000000000000 35657325931442547274483343/200000000000000000000000000 -147185570233237820381719097/500000000000000000000000000
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144643148418007025917683503/500000000000000000000000000 -61925815942602831139147081/1000000000000000000000000000 35657325931442547274483343/200000000000000000000000000 -258250109185216521878757867/500000000000000000000000000 15303886356807365808014853/250000000000000000000000000 -517080868199266256874707/6250000000000000000000000 68192613001879275800140487/500000000000000000000000000 -295620565667304413459042663/1000000000000000000000000000 -38471583195279390338546319/250000000000000000000000000 3003932167807788162971907/20000000000000000000000000 112885083130340360558115587/1000000000000000000000000000 -1941462529332380841692263/62500000000000000000000000
-39405605853815240324443643/500000000000000000000000000 -194740583229975059483757371/1000000000000000000000000000 -147185570233237820381719097/500000000000000000000000000 889488853764348131963036399/1000000000000000000000000000 -616436956944367379628420371/1000000000000000000000000000 377676853284016609470678559/250000000000000000000000000 -632793279304602858324706397/1000000000000000000000000000 -232027815967813727094421553/1000000000000000000000000000 43478843846879754618694087/200000000000000000000000000 -805784014148228619779421437/1000000000000000000000000000 -1941462529332380841692263/62500000000000000000000000 2096080966159041617711692143/1000000000000000000000000000


--- 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 :
558694284334332365497834903/250000000000000000000000000 588198280562803252731157603/250000000000000000000000000 212130442031386300273695499/125000000000000000000000000 903236452167601173299557/62500000000000000000000000
588198280562803252731157603/250000000000000000000000000 3516208839092553463740808573/1000000000000000000000000000 491456465999813462450104759/1000000000000000000000000000 316968662154754316572736459/1000000000000000000000000000
212130442031386300273695499/125000000000000000000000000 491456465999813462450104759/1000000000000000000000000000 788746702916843317532649729/250000000000000000000000000 -250562473039091445256448171/1000000000000000000000000000
903236452167601173299557/62500000000000000000000000 316968662154754316572736459/1000000000000000000000000000 -250562473039091445256448171/1000000000000000000000000000 399945075801164308241391941/200000000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

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

Basis :
B1  : (F1)
B2  : (F2)+(F3)
B3  : (F4)
B4  : (F5)+(F9)
B5  : (F6)+(F11)
B6  : (F7)+(F10)
B7  : (F8)+(F12)
B8  : (F13)
B9  : (F14)+(F15)
B10 : (F16)

Matrix :
133709753923361903279188411/100000000000000000000000000 -87969457996597340353009779/1000000000000000000000000000 -18363279803326121372244753/500000000000000000000000000 161837562324397325427614229/1000000000000000000000000000 68355405664044254761544177/1000000000000000000000000000 -169549748057011255276629007/1000000000000000000000000000 -7205334620608420484870959/31250000000000000000000000 -5256085226850227426495627/40000000000000000000000000 -60526702584551090040132811/500000000000000000000000000 -22759295476328551838994589/125000000000000000000000000
-87969457996597340353009779/1000000000000000000000000000 2535596108064746212660130113/1000000000000000000000000000 -261311297029606123499680823/1000000000000000000000000000 -2613173684376635254039367451/1000000000000000000000000000 -8473602914952984016533331/200000000000000000000000000 -442120989660284023946429793/500000000000000000000000000 772542472669000002025634941/1000000000000000000000000000 -224924891484227750367462193/1000000000000000000000000000 -403260664845819325024976509/1000000000000000000000000000 1253523787215283752839360037/1000000000000000000000000000
-18363279803326121372244753/500000000000000000000000000 -261311297029606123499680823/1000000000000000000000000000 994222990480351381768341489/1000000000000000000000000000 292432820301821402766643989/1000000000000000000000000000 37704555360937395693618547/500000000000000000000000000 -94001950379924040211263307/500000000000000000000000000 3876149650602573827142591/50000000000000000000000000 -321840309376979223846283953/500000000000000000000000000 -225666474083694435391435781/1000000000000000000000000000 39860419513419765144350293/1000000000000000000000000000
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-22759295476328551838994589/125000000000000000000000000 1253523787215283752839360037/1000000000000000000000000000 39860419513419765144350293/1000000000000000000000000000 -1431270991195161200846839587/1000000000000000000000000000 -119138783074728960693723687/250000000000000000000000000 -28574625296023301754981507/125000000000000000000000000 10088278758588971758018479/10000000000000000000000000 -54571856230337455827249809/100000000000000000000000000 -162722448702159358681184253/1000000000000000000000000000 1074702429465767657553784451/1000000000000000000000000000


--- 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 :
4971699952480740091934371261/1000000000000000000000000000 575653781974500777739269773/125000000000000000000000000 985304475534883097246347737/500000000000000000000000000 -218056874894171414480328469/125000000000000000000000000 -26687825694722916784774629/200000000000000000000000000 1611015870679756731918754607/1000000000000000000000000000
575653781974500777739269773/125000000000000000000000000 867440546990460595308033391/200000000000000000000000000 976384584331608980279574233/500000000000000000000000000 -1275854326021236110107182549/1000000000000000000000000000 1083994154197322888284161/12500000000000000000000000 1362573858357021941169915429/1000000000000000000000000000
985304475534883097246347737/500000000000000000000000000 976384584331608980279574233/500000000000000000000000000 133478365896887178947931269/50000000000000000000000000 -42460118508232649395521173/500000000000000000000000000 251668376735675442342123237/500000000000000000000000000 29412849524390809173764441/50000000000000000000000000
-218056874894171414480328469/125000000000000000000000000 -1275854326021236110107182549/1000000000000000000000000000 -42460118508232649395521173/500000000000000000000000000 446122993491102217743303637/200000000000000000000000000 523995411749509049767466151/500000000000000000000000000 -1182624143956492989181585883/1000000000000000000000000000
-26687825694722916784774629/200000000000000000000000000 1083994154197322888284161/12500000000000000000000000 251668376735675442342123237/500000000000000000000000000 523995411749509049767466151/500000000000000000000000000 893911353062486138283914019/1000000000000000000000000000 -154079470436531961251018283/1000000000000000000000000000
1611015870679756731918754607/1000000000000000000000000000 1362573858357021941169915429/1000000000000000000000000000 29412849524390809173764441/50000000000000000000000000 -1182624143956492989181585883/1000000000000000000000000000 -154079470436531961251018283/1000000000000000000000000000 2571361683799902569826419/2500000000000000000000000


--- 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 :
262631489360170107734282911/125000000000000000000000000 635374780212649232343224577/1000000000000000000000000000 -2269668211230891468798092557/500000000000000000000000000 0/1 -203520594017800761107720919/200000000000000000000000000 -635374780212649232343224577/1000000000000000000000000000 313384926752004202325258873/1000000000000000000000000000 0/1 -313384926752004202325258873/1000000000000000000000000000
635374780212649232343224577/1000000000000000000000000000 609206540645874912453932021/1000000000000000000000000000 -431774026464328885159131319/250000000000000000000000000 0/1 -638033423553003781489881519/1000000000000000000000000000 -609206540645874912453932021/1000000000000000000000000000 56650772922918618014307023/200000000000000000000000000 0/1 -56650772922918618014307023/200000000000000000000000000
-2269668211230891468798092557/500000000000000000000000000 -431774026464328885159131319/250000000000000000000000000 2587514582941392665336214223/250000000000000000000000000 0/1 631837354809727604019292893/250000000000000000000000000 431774026464328885159131319/250000000000000000000000000 -3018053318265740191278203/3125000000000000000000000 0/1 3018053318265740191278203/3125000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-203520594017800761107720919/200000000000000000000000000 -638033423553003781489881519/1000000000000000000000000000 631837354809727604019292893/250000000000000000000000000 0/1 934837254575900820034106333/1000000000000000000000000000 638033423553003781489881519/1000000000000000000000000000 -326674030031562911997072169/1000000000000000000000000000 0/1 326674030031562911997072169/1000000000000000000000000000
-635374780212649232343224577/1000000000000000000000000000 -609206540645874912453932021/1000000000000000000000000000 431774026464328885159131319/250000000000000000000000000 0/1 638033423553003781489881519/1000000000000000000000000000 609206540645874912453932021/1000000000000000000000000000 -56650772922918618014307023/200000000000000000000000000 0/1 56650772922918618014307023/200000000000000000000000000
313384926752004202325258873/1000000000000000000000000000 56650772922918618014307023/200000000000000000000000000 -3018053318265740191278203/3125000000000000000000000 0/1 -326674030031562911997072169/1000000000000000000000000000 -56650772922918618014307023/200000000000000000000000000 200304190294803755824710957/1000000000000000000000000000 0/1 -200304190294803755824710957/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-313384926752004202325258873/1000000000000000000000000000 -56650772922918618014307023/200000000000000000000000000 3018053318265740191278203/3125000000000000000000000 0/1 326674030031562911997072169/1000000000000000000000000000 56650772922918618014307023/200000000000000000000000000 -200304190294803755824710957/1000000000000000000000000000 0/1 200304190294803755824710957/1000000000000000000000000000


--- 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 :
275756690354500821342320141/1000000000000000000000000000 0/1 0/1 0/1 0/1 -275756690354500821342320141/1000000000000000000000000000 0/1
0/1 739262189468511416487394143/1000000000000000000000000000 120438227747042847317533929/500000000000000000000000000 -240876455266544162698870311/1000000000000000000000000000 240876455266544162698870311/1000000000000000000000000000 0/1 64920144062943152961377751/125000000000000000000000000
0/1 120438227747042847317533929/500000000000000000000000000 565623463407033223360918269/500000000000000000000000000 -40586252029394537542302847/500000000000000000000000000 40586252029394537542302847/500000000000000000000000000 0/1 26513295814915013782991603/125000000000000000000000000
0/1 -240876455266544162698870311/1000000000000000000000000000 -40586252029394537542302847/500000000000000000000000000 1131246925452900163156726583/1000000000000000000000000000 -1131246925452900163156726583/1000000000000000000000000000 0/1 -1060531830129376547631543/5000000000000000000000000
0/1 240876455266544162698870311/1000000000000000000000000000 40586252029394537542302847/500000000000000000000000000 -1131246925452900163156726583/1000000000000000000000000000 1131246925452900163156726583/1000000000000000000000000000 0/1 1060531830129376547631543/5000000000000000000000000
-275756690354500821342320141/1000000000000000000000000000 0/1 0/1 0/1 0/1 275756690354500821342320141/1000000000000000000000000000 0/1
0/1 64920144062943152961377751/125000000000000000000000000 26513295814915013782991603/125000000000000000000000000 -1060531830129376547631543/5000000000000000000000000 1060531830129376547631543/5000000000000000000000000 0/1 58551160165932171818934083/125000000000000000000000000


--- 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 :
26195305897629532798344631/62500000000000000000000000 -38354760421966388641596899/500000000000000000000000000 -4507209061054779066333497/62500000000000000000000000 0/1 26751859773852388395813003/250000000000000000000000000 38354760421966388641596899/500000000000000000000000000 -73668201244613767219392057/125000000000000000000000000 -559047690029693756317097/1000000000000000000000000 0/1 0/1 73668201244613767219392057/125000000000000000000000000 559047690029693756317097/1000000000000000000000000
-38354760421966388641596899/500000000000000000000000000 209500614020902573992509023/1000000000000000000000000000 5911553579238164406341623/50000000000000000000000000 0/1 -53188793235231062862226041/100000000000000000000000000 -209500614020902573992509023/1000000000000000000000000000 876485790718655065041453/1562500000000000000000000 2385635867369076807978479/10000000000000000000000000 0/1 0/1 -876485790718655065041453/1562500000000000000000000 -2385635867369076807978479/10000000000000000000000000
-4507209061054779066333497/62500000000000000000000000 5911553579238164406341623/50000000000000000000000000 283403474050913438788481547/500000000000000000000000000 0/1 -21458649820174619452549021/62500000000000000000000000 -5911553579238164406341623/50000000000000000000000000 101927734279899379071937047/250000000000000000000000000 22825451424321085002769291/125000000000000000000000000 0/1 0/1 -101927734279899379071937047/250000000000000000000000000 -22825451424321085002769291/125000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
26751859773852388395813003/250000000000000000000000000 -53188793235231062862226041/100000000000000000000000000 -21458649820174619452549021/62500000000000000000000000 0/1 480154703741296367843602403/250000000000000000000000000 53188793235231062862226041/100000000000000000000000000 -63593045049210874851432093/31250000000000000000000000 -80780819502924824367220213/125000000000000000000000000 0/1 0/1 63593045049210874851432093/31250000000000000000000000 80780819502924824367220213/125000000000000000000000000
38354760421966388641596899/500000000000000000000000000 -209500614020902573992509023/1000000000000000000000000000 -5911553579238164406341623/50000000000000000000000000 0/1 53188793235231062862226041/100000000000000000000000000 209500614020902573992509023/1000000000000000000000000000 -876485790718655065041453/1562500000000000000000000 -2385635867369076807978479/10000000000000000000000000 0/1 0/1 876485790718655065041453/1562500000000000000000000 2385635867369076807978479/10000000000000000000000000
-73668201244613767219392057/125000000000000000000000000 876485790718655065041453/1562500000000000000000000 101927734279899379071937047/250000000000000000000000000 0/1 -63593045049210874851432093/31250000000000000000000000 -876485790718655065041453/1562500000000000000000000 1380650200288513237888046109/500000000000000000000000000 321818465053123800001809513/250000000000000000000000000 0/1 0/1 -1380650200288513237888046109/500000000000000000000000000 -321818465053123800001809513/250000000000000000000000000
-559047690029693756317097/1000000000000000000000000 2385635867369076807978479/10000000000000000000000000 22825451424321085002769291/125000000000000000000000000 0/1 -80780819502924824367220213/125000000000000000000000000 -2385635867369076807978479/10000000000000000000000000 321818465053123800001809513/250000000000000000000000000 109948861002891603210260883/125000000000000000000000000 0/1 0/1 -321818465053123800001809513/250000000000000000000000000 -109948861002891603210260883/125000000000000000000000000
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
73668201244613767219392057/125000000000000000000000000 -876485790718655065041453/1562500000000000000000000 -101927734279899379071937047/250000000000000000000000000 0/1 63593045049210874851432093/31250000000000000000000000 876485790718655065041453/1562500000000000000000000 -1380650200288513237888046109/500000000000000000000000000 -321818465053123800001809513/250000000000000000000000000 0/1 0/1 1380650200288513237888046109/500000000000000000000000000 321818465053123800001809513/250000000000000000000000000
559047690029693756317097/1000000000000000000000000 -2385635867369076807978479/10000000000000000000000000 -22825451424321085002769291/125000000000000000000000000 0/1 80780819502924824367220213/125000000000000000000000000 2385635867369076807978479/10000000000000000000000000 -321818465053123800001809513/250000000000000000000000000 -109948861002891603210260883/125000000000000000000000000 0/1 0/1 321818465053123800001809513/250000000000000000000000000 109948861002891603210260883/125000000000000000000000000


--- 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 :
805342893894892711296546023/200000000000000000000000000 431325754977891768368954633/1000000000000000000000000000 513370981309867202912228937/250000000000000000000000000 418912355411148754269848169/1000000000000000000000000000
431325754977891768368954633/1000000000000000000000000000 57125261637425737277690087/100000000000000000000000000 179653974544970276208773137/250000000000000000000000000 642743032792845883922285413/1000000000000000000000000000
513370981309867202912228937/250000000000000000000000000 179653974544970276208773137/250000000000000000000000000 23571115935833430341967083/5000000000000000000000000 343959535512239336391181327/250000000000000000000000000
418912355411148754269848169/1000000000000000000000000000 642743032792845883922285413/1000000000000000000000000000 343959535512239336391181327/250000000000000000000000000 1555160423153013012266653643/1000000000000000000000000000


--- 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 :
1697266565399738249026409/12500000000000000000000000 0/1 0/1 -104303283372492938003757/50000000000000000000000000 0/1 104303283372492938003757/50000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
-104303283372492938003757/50000000000000000000000000 0/1 0/1 440707431945040649926193/25000000000000000000000000 0/1 -440707431945040649926193/25000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
104303283372492938003757/50000000000000000000000000 0/1 0/1 -440707431945040649926193/25000000000000000000000000 0/1 440707431945040649926193/25000000000000000000000000


--- 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 :
885442081/4000000000 -885442081/4000000000 0/1 0/1 0/1 0/1 0/1 -885442081/4000000000 885442081/4000000000 0/1
-885442081/4000000000 885442081/4000000000 0/1 0/1 0/1 0/1 0/1 885442081/4000000000 -885442081/4000000000 0/1
0/1 0/1 2767006498540027542539493/12500000000000000000000000 0/1 0/1 0/1 0/1 0/1 0/1 -2767006498540027542539493/12500000000000000000000000
0/1 0/1 0/1 1024334332660465608470083/62500000000000000000000000 1024334332660465608470083/62500000000000000000000000 -1024334332660465608470083/62500000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 1024334332660465608470083/62500000000000000000000000 1024334332660465608470083/62500000000000000000000000 -1024334332660465608470083/62500000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -1024334332660465608470083/62500000000000000000000000 -1024334332660465608470083/62500000000000000000000000 1024334332660465608470083/62500000000000000000000000 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
-885442081/4000000000 885442081/4000000000 0/1 0/1 0/1 0/1 0/1 885442081/4000000000 -885442081/4000000000 0/1
885442081/4000000000 -885442081/4000000000 0/1 0/1 0/1 0/1 0/1 -885442081/4000000000 885442081/4000000000 0/1
0/1 0/1 -2767006498540027542539493/12500000000000000000000000 0/1 0/1 0/1 0/1 0/1 0/1 2767006498540027542539493/12500000000000000000000000


--- 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 :
169347380365309563582906071/1000000000000000000000000000 10804355078267513984224699/1000000000000000000000000000 -87551078418393427500152209/1000000000000000000000000000 -139263730154201756110908957/500000000000000000000000000 194463020534628178126412551/1000000000000000000000000000 -68257929272510771088541343/500000000000000000000000000
10804355078267513984224699/1000000000000000000000000000 9650989398740346832368333/200000000000000000000000000 -3592757937730080619505827/1000000000000000000000000000 469287007368691312358821/25000000000000000000000000 -103859908212410045895145119/1000000000000000000000000000 282904381644529890980941/250000000000000000000000000
-87551078418393427500152209/1000000000000000000000000000 -3592757937730080619505827/1000000000000000000000000000 207403149387721519147784079/1000000000000000000000000000 239336028704530119177939991/1000000000000000000000000000 -281775217763115164087020459/1000000000000000000000000000 49572577454329455577430657/1000000000000000000000000000
-139263730154201756110908957/500000000000000000000000000 469287007368691312358821/25000000000000000000000000 239336028704530119177939991/1000000000000000000000000000 129316294663474266792343667/200000000000000000000000000 -710742775579130011359716459/1000000000000000000000000000 62410289296129729449671301/250000000000000000000000000
194463020534628178126412551/1000000000000000000000000000 -103859908212410045895145119/1000000000000000000000000000 -281775217763115164087020459/1000000000000000000000000000 -710742775579130011359716459/1000000000000000000000000000 67156723753709450502347547/62500000000000000000000000 -21381632275586305252419911/100000000000000000000000000
-68257929272510771088541343/500000000000000000000000000 282904381644529890980941/250000000000000000000000000 49572577454329455577430657/1000000000000000000000000000 62410289296129729449671301/250000000000000000000000000 -21381632275586305252419911/100000000000000000000000000 42853309024576800484664857/125000000000000000000000000


--- 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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