#Density : 1651188554972238451606927268737/9600000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 10, 11, 12, 13, 15}
Number of terms              : 19


--- Term 1 ---

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

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

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

Matrix :
74444681209747125299283932961/250000000000000000000000000000 -252488197231187092894709623647/500000000000000000000000000000 -104451022558390716836684090907/500000000000000000000000000000 145967358319037316723420933831/500000000000000000000000000000 34147826090642366515255198773/250000000000000000000000000000 67839731621404572304896267567/500000000000000000000000000000
-252488197231187092894709623647/500000000000000000000000000000 444032867388660601295884263057/500000000000000000000000000000 145166249926117986954502990197/500000000000000000000000000000 -486159265592697558742065233937/1000000000000000000000000000000 -177805552984621230004092405747/1000000000000000000000000000000 -144559039326462445855711711317/500000000000000000000000000000
-104451022558390716836684090907/500000000000000000000000000000 145166249926117986954502990197/500000000000000000000000000000 137688823256298518691134966377/500000000000000000000000000000 -222751564295256602749423339797/1000000000000000000000000000000 -204298528892781285319749677247/1000000000000000000000000000000 11889147895416817518226013623/500000000000000000000000000000
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34147826090642366515255198773/250000000000000000000000000000 -177805552984621230004092405747/1000000000000000000000000000000 -204298528892781285319749677247/1000000000000000000000000000000 74512244789466340692454344783/500000000000000000000000000000 153993701960101882499623827501/1000000000000000000000000000000 -37933363991440927149788666613/1000000000000000000000000000000
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--- 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 :
1375990460658027557661123843/8000000000000000000000000000 -14289964943316764695897617543/100000000000000000000000000000 536834295218349571501643049/5000000000000000000000000000 -46489902939850367523050120883/200000000000000000000000000000 9705449457559174618954216689/100000000000000000000000000000 15523455590056520077738656849/200000000000000000000000000000
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-46489902939850367523050120883/200000000000000000000000000000 181306834440729524412944491239/1000000000000000000000000000000 -139969735749778882359358743707/1000000000000000000000000000000 158027837908789068843829750261/500000000000000000000000000000 -126229655827185815097886076357/1000000000000000000000000000000 -10158986228638014532012304061/100000000000000000000000000000
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--- 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 :
306249094859985644118449081487/250000000000000000000000000000 564010694584026496355143977903/500000000000000000000000000000 209800052626019127000458778973/250000000000000000000000000000 351116023269673129655785917/2000000000000000000000000000 -18584806223365344946795284749/125000000000000000000000000000 9936059972079739415540549953/500000000000000000000000000000 -227258929195180361714072458961/500000000000000000000000000000 50134145442833365092334854159/62500000000000000000000000000 -186623266438495229306755129781/100000000000000000000000000000 61853187747158724171699177173/250000000000000000000000000000 -88947133002108297284880509133/125000000000000000000000000000 -5021684506898933884449080937/7812500000000000000000000000
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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 :
107473375515234355090376948717/100000000000000000000000000000 239588875856270357810920135877/250000000000000000000000000000 78413400880784181180507431439/125000000000000000000000000000 -1118758590019431360924949267/1000000000000000000000000000
239588875856270357810920135877/250000000000000000000000000000 51733584796882395642892408933/31250000000000000000000000000 254985298311317208567417985977/250000000000000000000000000000 -789467826231020572394036082359/500000000000000000000000000000
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--- 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 :
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--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

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

Basis :
B1 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
139884834484896522135945547229/200000000000000000000000000000 265802631597108184506575399297/200000000000000000000000000000 117090802246583506575895189819/100000000000000000000000000000 244850565718076300647206346519/200000000000000000000000000000 759997946009906639518213313/3125000000000000000000000000 -137921516240634104647200639813/200000000000000000000000000000
265802631597108184506575399297/200000000000000000000000000000 615410227807619350817506266389/100000000000000000000000000000 210410996369757828623491357871/40000000000000000000000000000 1132746747558008564009578418309/200000000000000000000000000000 407604182188010146083635237129/200000000000000000000000000000 -552302860791850341738446145033/200000000000000000000000000000
117090802246583506575895189819/100000000000000000000000000000 210410996369757828623491357871/40000000000000000000000000000 4499224898682033509826048353447/1000000000000000000000000000000 1210306065014308691333663076607/250000000000000000000000000000 1725342197145360443003968578703/1000000000000000000000000000000 -1184162477504179666820780910369/500000000000000000000000000000
244850565718076300647206346519/200000000000000000000000000000 1132746747558008564009578418309/200000000000000000000000000000 1210306065014308691333663076607/250000000000000000000000000000 5212441670906853001218389762237/1000000000000000000000000000000 937542524631285999457683580501/500000000000000000000000000000 -2541729687638859400638006352827/1000000000000000000000000000000
759997946009906639518213313/3125000000000000000000000000 407604182188010146083635237129/200000000000000000000000000000 1725342197145360443003968578703/1000000000000000000000000000000 937542524631285999457683580501/500000000000000000000000000000 768948185071211393488078731787/1000000000000000000000000000000 -217498414463816091396759566553/250000000000000000000000000000
-137921516240634104647200639813/200000000000000000000000000000 -552302860791850341738446145033/200000000000000000000000000000 -1184162477504179666820780910369/500000000000000000000000000000 -2541729687638859400638006352827/1000000000000000000000000000000 -217498414463816091396759566553/250000000000000000000000000000 1486795068671611214902339020297/1000000000000000000000000000000


--- 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 :
108676446389762825963444819/3125000000000000000000000000 -27865414118112496549565481/5000000000000000000000000000 -355566197549656411777762413/25000000000000000000000000000 216178755245349077560830189/25000000000000000000000000000 -640421175190899348829180393/25000000000000000000000000000 4120449365164269930994507/5000000000000000000000000000 77201223860848128576935723/12500000000000000000000000000 -295614710498430287985179227/25000000000000000000000000000 373615033932736581879429469/25000000000000000000000000000
-27865414118112496549565481/5000000000000000000000000000 7144890450218537241534219/8000000000000000000000000000 91169703006198893063025687/40000000000000000000000000000 -55429771018140139669449111/40000000000000000000000000000 164208546097470801153733707/40000000000000000000000000000 -1056512535395450911221393/8000000000000000000000000000 -19794943106552341763299377/20000000000000000000000000000 75797715154409504138900673/40000000000000000000000000000 -95797553077416907849785831/40000000000000000000000000000
-355566197549656411777762413/25000000000000000000000000000 91169703006198893063025687/40000000000000000000000000000 1163336905464278887678807251/200000000000000000000000000000 -707290867037839323911096403/200000000000000000000000000000 2095321752389951251632858711/200000000000000000000000000000 -13481233161718148365193589/40000000000000000000000000000 -252585969879185711925513621/100000000000000000000000000000 967188402302880498035005029/200000000000000000000000000000 -1222388855874135452199252963/200000000000000000000000000000
216178755245349077560830189/25000000000000000000000000000 -55429771018140139669449111/40000000000000000000000000000 -707290867037839323911096403/200000000000000000000000000000 430021920774092872415560659/200000000000000000000000000000 -1273923256461702148822989783/200000000000000000000000000000 8196381501268967504112117/40000000000000000000000000000 153568367682914932403861013/100000000000000000000000000000 -588035607260937347840542437/200000000000000000000000000000 743193540639511134864234339/200000000000000000000000000000
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373615033932736581879429469/25000000000000000000000000000 -95797553077416907849785831/40000000000000000000000000000 -1222388855874135452199252963/200000000000000000000000000000 743193540639511134864234339/200000000000000000000000000000 -2201682029996243063920123943/200000000000000000000000000000 14165551787208482337065957/40000000000000000000000000000 265407444120629516859104773/100000000000000000000000000000 -1016283691295697410066142677/200000000000000000000000000000 1284438332478535351310341619/200000000000000000000000000000


--- 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 :
1126336279338290568629762359653/1000000000000000000000000000000 59946157620822112773/1000000000000000000000000000000 -125503886272189590926730528203/1000000000000000000000000000000 125503886272189590926730528203/1000000000000000000000000000000 31375971577180028133559359277/250000000000000000000000000000 -18447262097843476062130677573/12500000000000000000000000000 -153771538192321437807/1000000000000000000000000000000
59946157620822112773/1000000000000000000000000000000 2707805644651430534423126733/500000000000000000000000000000 42216654474777027516629621557/1000000000000000000000000000000 -42216654474777027516629621557/1000000000000000000000000000000 21108327242072424803952385589/500000000000000000000000000000 -37089684430600226019/125000000000000000000000000000 -285445732061448800697091299/100000000000000000000000000000
-125503886272189590926730528203/1000000000000000000000000000000 42216654474777027516629621557/1000000000000000000000000000000 343078614016287168997914515401/1000000000000000000000000000000 -343078614016287168997914515401/1000000000000000000000000000000 39388707125468582513077276043/125000000000000000000000000000 4111033493864783872211143403/25000000000000000000000000000 -22251530234764371386447655211/1000000000000000000000000000000
125503886272189590926730528203/1000000000000000000000000000000 -42216654474777027516629621557/1000000000000000000000000000000 -343078614016287168997914515401/1000000000000000000000000000000 343078614016287168997914515401/1000000000000000000000000000000 -39388707125468582513077276043/125000000000000000000000000000 -4111033493864783872211143403/25000000000000000000000000000 22251530234764371386447655211/1000000000000000000000000000000
31375971577180028133559359277/250000000000000000000000000000 21108327242072424803952385589/500000000000000000000000000000 39388707125468582513077276043/125000000000000000000000000000 -39388707125468582513077276043/125000000000000000000000000000 42884826745274955186756040517/125000000000000000000000000000 -4111033487297328391105363681/25000000000000000000000000000 -11125765133464547560101292757/500000000000000000000000000000
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-153771538192321437807/1000000000000000000000000000000 -285445732061448800697091299/100000000000000000000000000000 -22251530234764371386447655211/1000000000000000000000000000000 22251530234764371386447655211/1000000000000000000000000000000 -11125765133464547560101292757/500000000000000000000000000000 33889815665578255587/62500000000000000000000000000 752262871165048627702169847/500000000000000000000000000000


--- 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 :
4290997949233249940088817877689/500000000000000000000000000000 94656732403079737444698626623/25000000000000000000000000000 267694914964769124361645458237/50000000000000000000000000000 -2339506048618955832102853079481/500000000000000000000000000000 -2719248877192855728172419424789/500000000000000000000000000000 -1338950999175489698104281753021/500000000000000000000000000000 578455363261357643885734677371/250000000000000000000000000000 -1108437895920765798428541777427/500000000000000000000000000000 -1001209301241884023008023273179/500000000000000000000000000000 -846200245038903436982796041451/500000000000000000000000000000 -678820643577590615090421559723/500000000000000000000000000000 -178528110572522587495589281883/125000000000000000000000000000
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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 :
23996584804347151465976846591/40000000000000000000000000000 170303271849646295407165875823/200000000000000000000000000000 -25582135957767086667093479961/100000000000000000000000000000 132298963672276098028404712703/200000000000000000000000000000
170303271849646295407165875823/200000000000000000000000000000 151079854900020982475447454043/125000000000000000000000000000 -363111791985473298855054646641/1000000000000000000000000000000 938923040899739833228667903059/1000000000000000000000000000000
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132298963672276098028404712703/200000000000000000000000000000 938923040899739833228667903059/1000000000000000000000000000000 -141040489851042302768824978263/500000000000000000000000000000 729396117466992023311813165199/1000000000000000000000000000000


--- 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 :
4161328175071146671423082209/1000000000000000000000000000000 82658654387661827351399907/500000000000000000000000000000 -51412596738426384998930457/10000000000000000000000000000 -45611514269518063623860939/5000000000000000000000000000 5058207523569452140160202433/500000000000000000000000000000 -116156864535366901639941861/100000000000000000000000000000
82658654387661827351399907/500000000000000000000000000000 27496888816826954136650338797/500000000000000000000000000000 -2854237275428059532919569007/100000000000000000000000000000 -36240222458695899800215383/100000000000000000000000000000 12559230416973752981481663/31250000000000000000000000000 -2307285020808791338769601/50000000000000000000000000000
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-116156864535366901639941861/100000000000000000000000000000 -2307285020808791338769601/50000000000000000000000000000 179387619441076643826077097/125000000000000000000000000000 318293238442242188582694993/125000000000000000000000000000 -705959132984008414674124131/250000000000000000000000000000 81058358119381534727389227/250000000000000000000000000000


--- 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 :
118957673410019867881198278413/250000000000000000000000000000 -376145981731379569077665600007/1000000000000000000000000000000 -49842355908703592064429075823/1000000000000000000000000000000 -160147904408050478177511622721/500000000000000000000000000000 320295808644618344949585956919/1000000000000000000000000000000 -160147904325866867327539113347/500000000000000000000000000000 0/1 682678390430581439757844689/500000000000000000000000000000 -682678390430581439757844689/500000000000000000000000000000 88853139954452059/3906250000000000000000000000
-376145981731379569077665600007/1000000000000000000000000000000 23791534678189751272389581627/50000000000000000000000000000 -49842355952207320160164202339/1000000000000000000000000000000 80073952177197223899599997389/250000000000000000000000000000 -160147904299050109157432796449/500000000000000000000000000000 80073952181188382000284400477/250000000000000000000000000000 0/1 -682678392839427993193022127/500000000000000000000000000000 682678392839427993193022127/500000000000000000000000000000 -228987044209815023/7812500000000000000000000000
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-160147904408050478177511622721/500000000000000000000000000000 80073952177197223899599997389/250000000000000000000000000000 -320295808710126048674372704979/1000000000000000000000000000000 175726999777767427761720031827/125000000000000000000000000000 -36953295509356124751576701131/200000000000000000000000000000 -122104952050005730714764220719/200000000000000000000000000000 0/1 -3124682133540718787657735361/1000000000000000000000000000000 3124682133540718787657735361/1000000000000000000000000000000 -3124682049485054117877618433/1000000000000000000000000000000
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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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-682678390430581439757844689/500000000000000000000000000000 682678392839427993193022127/500000000000000000000000000000 -5196599297388960203/500000000000000000000000000000 3124682133540718787657735361/1000000000000000000000000000000 -3124682037181859242132804363/1000000000000000000000000000000 3124682015308787696644150413/1000000000000000000000000000000 0/1 -464480567192844142364072559/100000000000000000000000000000 464480567192844142364072559/100000000000000000000000000000 -1830866831529253/31250000000000000000000000000
88853139954452059/3906250000000000000000000000 -228987044209815023/7812500000000000000000000000 85334800015841440039112587/62500000000000000000000000000 -3124682049485054117877618433/1000000000000000000000000000000 624936433075435955402574443/200000000000000000000000000000 3124681999785583971682552491/1000000000000000000000000000000 0/1 1830866831529253/31250000000000000000000000000 -1830866831529253/31250000000000000000000000000 580600703458156148067983877/125000000000000000000000000000


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