#Density : 1003077891323123154506726557/6000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 10, 12, 13, 14, 15}
Number of terms              : 19


--- Term 1 ---

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

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

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

Matrix :
3424796691997777964723859/20000000000000000000000000 -11223764531823910851483999/250000000000000000000000000 -18600374308768145081628963/250000000000000000000000000 -836008915223248551626571/15625000000000000000000000 147158281529479926223899279/500000000000000000000000000 -19702031928328828700828619/250000000000000000000000000
-11223764531823910851483999/250000000000000000000000000 29020636364647984835611171/125000000000000000000000000 -270002024598087044915163/125000000000000000000000000 -6043204696785799138505867/62500000000000000000000000 -6529635478531488080231591/250000000000000000000000000 -17004294962914117853145011/125000000000000000000000000
-18600374308768145081628963/250000000000000000000000000 -270002024598087044915163/125000000000000000000000000 17228221440862598991834981/500000000000000000000000000 17065745076952521479827803/500000000000000000000000000 -66447381475523736218932029/500000000000000000000000000 24822714158357287712301237/500000000000000000000000000
-836008915223248551626571/15625000000000000000000000 -6043204696785799138505867/62500000000000000000000000 17065745076952521479827803/500000000000000000000000000 36169600561937792663672353/500000000000000000000000000 -58801678761954599896565597/500000000000000000000000000 51671374396452810400730987/500000000000000000000000000
147158281529479926223899279/500000000000000000000000000 -6529635478531488080231591/250000000000000000000000000 -66447381475523736218932029/500000000000000000000000000 -58801678761954599896565597/500000000000000000000000000 64709426093137804190812759/125000000000000000000000000 -85871026422933063035427613/500000000000000000000000000
-19702031928328828700828619/250000000000000000000000000 -17004294962914117853145011/125000000000000000000000000 24822714158357287712301237/500000000000000000000000000 51671374396452810400730987/500000000000000000000000000 -85871026422933063035427613/500000000000000000000000000 73838357791190602809978373/500000000000000000000000000


--- 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 :
14446065368037939685800723/100000000000000000000000000 17553742974343605985475373/100000000000000000000000000 -23166460921205445537468537/100000000000000000000000000 -1784381708782959213091437/6250000000000000000000000 204553924765240216232241/6250000000000000000000000 1977602718533942858587803/20000000000000000000000000
17553742974343605985475373/100000000000000000000000000 21329952797463227931557523/100000000000000000000000000 -28150094179675442966626887/100000000000000000000000000 -2168242845792295611944787/6250000000000000000000000 248558131798757881723791/6250000000000000000000000 2403030094499905004076453/20000000000000000000000000
-23166460921205445537468537/100000000000000000000000000 -28150094179675442966626887/100000000000000000000000000 37150940269255575562223403/100000000000000000000000000 2861527209789215381098503/6250000000000000000000000 -328033300668689787364179/6250000000000000000000000 -3171386459177340051831057/20000000000000000000000000
-1784381708782959213091437/6250000000000000000000000 -2168242845792295611944787/6250000000000000000000000 2861527209789215381098503/6250000000000000000000000 220407287487696440643603/390625000000000000000000 -25266553384039872838479/390625000000000000000000 -244273996295138099337957/1250000000000000000000000
204553924765240216232241/6250000000000000000000000 248558131798757881723791/6250000000000000000000000 -328033300668689787364179/6250000000000000000000000 -25266553384039872838479/390625000000000000000000 2896450145479755954747/390625000000000000000000 28002531304997779214601/1250000000000000000000000
1977602718533942858587803/20000000000000000000000000 2403030094499905004076453/20000000000000000000000000 -3171386459177340051831057/20000000000000000000000000 -244273996295138099337957/1250000000000000000000000 28002531304997779214601/1250000000000000000000000 270725101452591599251683/4000000000000000000000000


--- 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 :
273617803388702613936928037/200000000000000000000000000 -4089545287139669428210137/62500000000000000000000000 405484453909120247009323841/1000000000000000000000000000 249082964844675639823787521/200000000000000000000000000 -419312242528087469327499683/1000000000000000000000000000 223077633260505388749612789/1000000000000000000000000000 569446520777939208195020329/250000000000000000000000000 -606935310689446636499181543/1000000000000000000000000000 -592065912062301752644094767/500000000000000000000000000 -2155569048437430551995740369/1000000000000000000000000000 -174310438211382071416555331/250000000000000000000000000 -1592164255372214601863108899/1000000000000000000000000000
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--- 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 :
62791057088925346710084459/62500000000000000000000000 8133091125235943933675481/3906250000000000000000000 225334291987553467296279111/250000000000000000000000000 505853575674380285096860803/250000000000000000000000000
8133091125235943933675481/3906250000000000000000000 577797786430608186154330073/125000000000000000000000000 410882448788245793594668309/250000000000000000000000000 1148172741086426846987997817/250000000000000000000000000
225334291987553467296279111/250000000000000000000000000 410882448788245793594668309/250000000000000000000000000 972452483934470363834266069/1000000000000000000000000000 1523846361067225115232551017/1000000000000000000000000000
505853575674380285096860803/250000000000000000000000000 1148172741086426846987997817/250000000000000000000000000 1523846361067225115232551017/1000000000000000000000000000 4593876182389729979436139597/1000000000000000000000000000


--- 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 :
45373097292166276603116681/62500000000000000000000000 -15958544546634868605863287/50000000000000000000000000 25153872009080067139459459/50000000000000000000000000 -15280911472381078652117801/31250000000000000000000000 226863044096169212673418733/250000000000000000000000000 -158423873842910287857789569/250000000000000000000000000 71832838007799971658073427/125000000000000000000000000 -218765827520578945002623363/250000000000000000000000000 17752531274719447786134761/250000000000000000000000000 103476421052427562721002901/250000000000000000000000000
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103476421052427562721002901/250000000000000000000000000 -3636630571852417297179589/100000000000000000000000000 204812546770317499300543031/100000000000000000000000000 -2239283944100018105425741153/1000000000000000000000000000 679186273254058475783193047/250000000000000000000000000 -1849362271287117609859871259/1000000000000000000000000000 2321603921703102929466694079/1000000000000000000000000000 -2907473096832175813526657/976562500000000000000000 847218383083592875728049391/1000000000000000000000000000 2862918611007563804616319291/1000000000000000000000000000


--- 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 :
137033904468458301195291119/500000000000000000000000000 105853624680571690848587423/1000000000000000000000000000 82567661517470369336205901/250000000000000000000000000 13645191876386092517225961/50000000000000000000000000 208144570513014522883819109/250000000000000000000000000 230730132336218986966335279/500000000000000000000000000
105853624680571690848587423/1000000000000000000000000000 3133606001892452329391890303/1000000000000000000000000000 -2590279575027340892600794861/1000000000000000000000000000 -54630683080205173012084653/62500000000000000000000000 19345831112671087120910219/500000000000000000000000000 3429812003734292232884067459/1000000000000000000000000000
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208144570513014522883819109/250000000000000000000000000 19345831112671087120910219/500000000000000000000000000 156487758570878869609528483/125000000000000000000000000 897101533500317219493549/976562500000000000000000 319390684884900406038975881/125000000000000000000000000 276110746244253956836721703/250000000000000000000000000
230730132336218986966335279/500000000000000000000000000 3429812003734292232884067459/1000000000000000000000000000 -143834531457427569031082673/62500000000000000000000000 -71288362812924986005281213/125000000000000000000000000 276110746244253956836721703/250000000000000000000000000 419558228072339007398240113/100000000000000000000000000


--- 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 :
41120231644223325257301883/1000000000000000000000000000 -14015357906742514801769399/1000000000000000000000000000 5616954412331846447984291/200000000000000000000000000 953297404660592352285189/62500000000000000000000000 9513000217207493809025927/500000000000000000000000000 9732487986942461767074039/1000000000000000000000000000 -104326615926348022102802577/1000000000000000000000000000 -4201210849600257279632629/125000000000000000000000000 338455671462552233584167/200000000000000000000000000
-14015357906742514801769399/1000000000000000000000000000 207270163344969640865250501/1000000000000000000000000000 47828015093119597097807547/1000000000000000000000000000 31178504443550135633457947/500000000000000000000000000 14085868388477453665603263/62500000000000000000000000 -137353820884172224826478261/1000000000000000000000000000 110586815354771601610933403/1000000000000000000000000000 -81300766358132375725529009/500000000000000000000000000 -508416805518237714846331079/1000000000000000000000000000
5616954412331846447984291/200000000000000000000000000 47828015093119597097807547/1000000000000000000000000000 35452849007725479757058133/1000000000000000000000000000 14783705366871306459880769/500000000000000000000000000 19679792608324030286618709/250000000000000000000000000 -31347914748013714038817839/1000000000000000000000000000 -49986064146101729803090471/1000000000000000000000000000 -36147382733639485119979121/500000000000000000000000000 -142800698559748235122415597/1000000000000000000000000000
953297404660592352285189/62500000000000000000000000 31178504443550135633457947/500000000000000000000000000 14783705366871306459880769/500000000000000000000000000 27803975488309222872048593/500000000000000000000000000 42204988041336275822461671/500000000000000000000000000 -20553594243032610530220117/500000000000000000000000000 -6833514026938186985974909/500000000000000000000000000 -35267864683755201268446901/500000000000000000000000000 -42199440423230957429419229/250000000000000000000000000
9513000217207493809025927/500000000000000000000000000 14085868388477453665603263/62500000000000000000000000 19679792608324030286618709/250000000000000000000000000 42204988041336275822461671/500000000000000000000000000 54857187563299294220381989/200000000000000000000000000 -148971417429987605206622049/1000000000000000000000000000 37637780896337430643679813/1000000000000000000000000000 -214849631269533244682277401/1000000000000000000000000000 -116140760948500124528342913/200000000000000000000000000
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338455671462552233584167/200000000000000000000000000 -508416805518237714846331079/1000000000000000000000000000 -142800698559748235122415597/1000000000000000000000000000 -42199440423230957429419229/250000000000000000000000000 -116140760948500124528342913/200000000000000000000000000 42069477380234093282648643/125000000000000000000000000 -96229831892573806652866711/500000000000000000000000000 435140693689217974649230219/1000000000000000000000000000 636850010809508973798096947/500000000000000000000000000


--- 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 :
171959224772485392558035829/1000000000000000000000000000 -51910506803706567/500000000000000000000000000 -72286395796730739891785867/500000000000000000000000000 231316468590181888771541/1600000000000000000000000 144572791965921574356105541/1000000000000000000000000000 38359187080950898053284461/500000000000000000000000000 309530119844589/250000000000000000000000000
-51910506803706567/500000000000000000000000000 4781432165208012068724633/7812500000000000000000000 -71560543930583146309229099/1000000000000000000000000000 17890135757955722626066363/250000000000000000000000000 -71560544979527558944384567/1000000000000000000000000000 -259596354724460983/200000000000000000000000000 -65099000642966488102474839/125000000000000000000000000
-72286395796730739891785867/500000000000000000000000000 -71560543930583146309229099/1000000000000000000000000000 36681578909278344523824429/31250000000000000000000000 -140583963074061600251121471/500000000000000000000000000 -35703243571844013549750139/50000000000000000000000000 -1225831389928225609377206671/1000000000000000000000000000 12178673081615779375430607/200000000000000000000000000
231316468590181888771541/1600000000000000000000000 17890135757955722626066363/250000000000000000000000000 -140583963074061600251121471/500000000000000000000000000 1173810526174713992686692933/1000000000000000000000000000 -178577727507865959296298899/1000000000000000000000000000 306457847879781182836892993/250000000000000000000000000 -6089336417579367530032431/100000000000000000000000000
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309530119844589/250000000000000000000000000 -65099000642966488102474839/125000000000000000000000000 12178673081615779375430607/200000000000000000000000000 -6089336417579367530032431/100000000000000000000000000 12178673071810106569354593/200000000000000000000000000 655320501003915447/1000000000000000000000000000 55395012130855279225166307/125000000000000000000000000


--- 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 :
5606787178144109349740676457/500000000000000000000000000 622951209157280651379289621/250000000000000000000000000 1904748944222311486940855981/250000000000000000000000000 2318232654183524658416523269/1000000000000000000000000000 -1370076013141759166801635731/250000000000000000000000000 857656180254887574370232279/500000000000000000000000000 -211340416000388729905940529/500000000000000000000000000 -60747137091375877837812019/500000000000000000000000000 -718560757847143156465094263/100000000000000000000000000 70150706087756306834081571/250000000000000000000000000 -2059065936504468169591067627/250000000000000000000000000 -90644317604352772682186973/125000000000000000000000000
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1904748944222311486940855981/250000000000000000000000000 813319115426602352869450329/500000000000000000000000000 173849754135276114518521259/31250000000000000000000000 358873157575102640231719619/500000000000000000000000000 -428411686382358542876636943/100000000000000000000000000 168005912200228018027808261/125000000000000000000000000 -11288838383045130994743989/500000000000000000000000000 268035926159692907122902103/500000000000000000000000000 -241853981373500350860336121/50000000000000000000000000 468672055746547172622529/62500000000000000000000000 -1522213007892002485742252853/250000000000000000000000000 -120135489475563221787045907/250000000000000000000000000
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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 :
3056203707568383029538397167/500000000000000000000000000 10699421814729569182189959/12500000000000000000000000 -27559885168837481481064827/5000000000000000000000000 -280577227979516735274102819/500000000000000000000000000
10699421814729569182189959/12500000000000000000000000 17445995271294355189584449/125000000000000000000000000 -99045954552033452775794819/125000000000000000000000000 -27617681033576760308683797/125000000000000000000000000
-27559885168837481481064827/5000000000000000000000000 -99045954552033452775794819/125000000000000000000000000 623980790981057762370561989/125000000000000000000000000 20440898314110452003287113/31250000000000000000000000
-280577227979516735274102819/500000000000000000000000000 -27617681033576760308683797/125000000000000000000000000 20440898314110452003287113/31250000000000000000000000 540026170387066769580337227/500000000000000000000000000


--- Term 16 ---

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

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

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

Matrix :
1405045291797839526250972451/500000000000000000000000000 86015882252633080922824867/50000000000000000000000000 -873362504337000740789142983/500000000000000000000000000 -424992310479033408751392417/500000000000000000000000000 -24866846237155922834228639/125000000000000000000000000 -29263084524745798304220741/125000000000000000000000000
86015882252633080922824867/50000000000000000000000000 5265831673106934723247139/5000000000000000000000000 -53466636823352342734826311/50000000000000000000000000 -26017729641770704197555489/50000000000000000000000000 -1522330796320899644581663/12500000000000000000000000 -1791465405082149738073797/12500000000000000000000000
-873362504337000740789142983/500000000000000000000000000 -53466636823352342734826311/50000000000000000000000000 542873648582386931159347739/500000000000000000000000000 264171091687015690789660461/500000000000000000000000000 15456990056780612763731987/125000000000000000000000000 18189649069928024502695553/125000000000000000000000000
-424992310479033408751392417/500000000000000000000000000 -26017729641770704197555489/50000000000000000000000000 264171091687015690789660461/500000000000000000000000000 128549922924687358372491339/500000000000000000000000000 7521621187835934968618613/125000000000000000000000000 8851377230695252725605847/125000000000000000000000000
-24866846237155922834228639/125000000000000000000000000 -1522330796320899644581663/12500000000000000000000000 15456990056780612763731987/125000000000000000000000000 7521621187835934968618613/125000000000000000000000000 440099721619028382663371/31250000000000000000000000 517905456535596706921449/31250000000000000000000000
-29263084524745798304220741/125000000000000000000000000 -1791465405082149738073797/12500000000000000000000000 18189649069928024502695553/125000000000000000000000000 8851377230695252725605847/125000000000000000000000000 517905456535596706921449/31250000000000000000000000 609466556630849927098131/31250000000000000000000000


--- 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 :
8149776398194120396069/50000000000000000000000 -8149776398194120396069/50000000000000000000000 -18378755620566663/62500000000000000000000000 -50951252978393351987996217/500000000000000000000000000 50951252978393351987996217/500000000000000000000000000 -636890663107853742895311/6250000000000000000000000 0/1 -101465135011439755236396379/500000000000000000000000000 101465135011439755236396379/500000000000000000000000000 7101867306930713/62500000000000000000000000
-8149776398194120396069/50000000000000000000000 8149776398194120396069/50000000000000000000000 18378755620566663/62500000000000000000000000 50951252978393351987996217/500000000000000000000000000 -50951252978393351987996217/500000000000000000000000000 636890663107853742895311/6250000000000000000000000 0/1 101465135011439755236396379/500000000000000000000000000 -101465135011439755236396379/500000000000000000000000000 -7101867306930713/62500000000000000000000000
-18378755620566663/62500000000000000000000000 18378755620566663/62500000000000000000000000 2546805124349040262015413/15625000000000000000000000 -50951252967965122517204859/500000000000000000000000000 50951252967965122517204859/500000000000000000000000000 3184453319494404782361033/31250000000000000000000000 0/1 113486620976901879/500000000000000000000000000 -113486620976901879/500000000000000000000000000 -1268314188475977679484847/6250000000000000000000000
-50951252978393351987996217/500000000000000000000000000 50951252978393351987996217/500000000000000000000000000 -50951252967965122517204859/500000000000000000000000000 63708010071044283937724997/500000000000000000000000000 -63708010071044283937724997/500000000000000000000000000 -8531741664262899/125000000000000000000000000 0/1 6343457186315882014170249/50000000000000000000000000 -6343457186315882014170249/50000000000000000000000000 63434571929424930228520947/500000000000000000000000000
50951252978393351987996217/500000000000000000000000000 -50951252978393351987996217/500000000000000000000000000 50951252967965122517204859/500000000000000000000000000 -63708010071044283937724997/500000000000000000000000000 63708010071044283937724997/500000000000000000000000000 8531741664262899/125000000000000000000000000 0/1 -6343457186315882014170249/50000000000000000000000000 6343457186315882014170249/50000000000000000000000000 -63434571929424930228520947/500000000000000000000000000
-636890663107853742895311/6250000000000000000000000 636890663107853742895311/6250000000000000000000000 3184453319494404782361033/31250000000000000000000000 -8531741664262899/125000000000000000000000000 8531741664262899/125000000000000000000000000 99543765795278379065703/781250000000000000000000 0/1 15858642965904412453363947/125000000000000000000000000 -15858642965904412453363947/125000000000000000000000000 -3964660746924557568711813/31250000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-101465135011439755236396379/500000000000000000000000000 101465135011439755236396379/500000000000000000000000000 113486620976901879/500000000000000000000000000 6343457186315882014170249/50000000000000000000000000 -6343457186315882014170249/50000000000000000000000000 15858642965904412453363947/125000000000000000000000000 0/1 126324614564529255955923967/500000000000000000000000000 -126324614564529255955923967/500000000000000000000000000 15875810338192577/500000000000000000000000000
101465135011439755236396379/500000000000000000000000000 -101465135011439755236396379/500000000000000000000000000 -113486620976901879/500000000000000000000000000 -6343457186315882014170249/50000000000000000000000000 6343457186315882014170249/50000000000000000000000000 -15858642965904412453363947/125000000000000000000000000 0/1 -126324614564529255955923967/500000000000000000000000000 126324614564529255955923967/500000000000000000000000000 -15875810338192577/500000000000000000000000000
7101867306930713/62500000000000000000000000 -7101867306930713/62500000000000000000000000 -1268314188475977679484847/6250000000000000000000000 63434571929424930228520947/500000000000000000000000000 -63434571929424930228520947/500000000000000000000000000 -3964660746924557568711813/31250000000000000000000000 0/1 15875810338192577/500000000000000000000000000 -15875810338192577/500000000000000000000000000 1973822105230566847679611/7812500000000000000000000


--- 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 :
22718992566641645756671059/1000000000000000000000000000 -30893554200463422882843741/500000000000000000000000000 -81052489960400496170897433/1000000000000000000000000000 -59801443024608507533832729/1000000000000000000000000000 15127988694806515236688161/100000000000000000000000000 12356975593315991831794653/250000000000000000000000000
-30893554200463422882843741/500000000000000000000000000 42009419578680451692201459/250000000000000000000000000 110216132353983818240050167/500000000000000000000000000 81318707945673897735406071/500000000000000000000000000 -20571217553599843836381039/50000000000000000000000000 -16803161237282900545336947/125000000000000000000000000
-81052489960400496170897433/1000000000000000000000000000 110216132353983818240050167/500000000000000000000000000 289163619800063040159417771/1000000000000000000000000000 213348186375415594661751723/1000000000000000000000000000 -53970753685937324621728707/100000000000000000000000000 -44084861477914157972449911/250000000000000000000000000
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15127988694806515236688161/100000000000000000000000000 -20571217553599843836381039/50000000000000000000000000 -53970753685937324621728707/100000000000000000000000000 -39820231964762858572145091/100000000000000000000000000 10073335834715824397400219/10000000000000000000000000 8228189983747925150319087/25000000000000000000000000
12356975593315991831794653/250000000000000000000000000 -16803161237282900545336947/125000000000000000000000000 -44084861477914157972449911/250000000000000000000000000 -32526308978382621183207543/250000000000000000000000000 8228189983747925150319087/25000000000000000000000000 6721021865996353053009651/62500000000000000000000000


--- 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 :
559155704867831790652215741/1000000000000000000000000000 -559155704867831790652215741/1000000000000000000000000000 -429531294655426143/500000000000000000000000000 -658077463456860967798561423/1000000000000000000000000000 658077463456860967798561423/1000000000000000000000000000 -329038731708196310013704713/500000000000000000000000000 0/1 -650785651320952637139138373/1000000000000000000000000000 650785651320952637139138373/1000000000000000000000000000 1376559370450228987/1000000000000000000000000000
-559155704867831790652215741/1000000000000000000000000000 559155704867831790652215741/1000000000000000000000000000 429531294655426143/500000000000000000000000000 658077463456860967798561423/1000000000000000000000000000 -658077463456860967798561423/1000000000000000000000000000 329038731708196310013704713/500000000000000000000000000 0/1 650785651320952637139138373/1000000000000000000000000000 -650785651320952637139138373/1000000000000000000000000000 -1376559370450228987/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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1376559370450228987/1000000000000000000000000000 -1376559370450228987/1000000000000000000000000000 -20337051602719219689915411/31250000000000000000000000 765917911537675228377279329/1000000000000000000000000000 -765917911537675228377279329/1000000000000000000000000000 -95739739500528460366749919/125000000000000000000000000 0/1 -464804514190526481/1000000000000000000000000000 464804514190526481/1000000000000000000000000000 757431177044170840637617079/1000000000000000000000000000

