#Density : 4516259235985423434224017719/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {9, 10, 12, 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 :
237008901763472376733377203/250000000000000000000000000 -57746177192795769777691347/62500000000000000000000000 2485820407362365892487879/3906250000000000000000000 -307987142487064048079952153/250000000000000000000000000 89760969982604791763487623/62500000000000000000000000 -6176375077022493370791687/50000000000000000000000000
-57746177192795769777691347/62500000000000000000000000 14069602262068687670607603/15625000000000000000000000 -605659216362557039687271/976562500000000000000000 75039713575441162335723897/62500000000000000000000000 -21869865811139641967877927/15625000000000000000000000 1504846640582497284676263/12500000000000000000000000
2485820407362365892487879/3906250000000000000000000 -605659216362557039687271/976562500000000000000000 26072029580669311316747/61035156250000000000000 -3230261472472500837158229/3906250000000000000000000 941439959879972341876939/976562500000000000000000 -64779673234843308258891/781250000000000000000000
-307987142487064048079952153/250000000000000000000000000 75039713575441162335723897/62500000000000000000000000 -3230261472472500837158229/3906250000000000000000000 400221591811815382388694603/250000000000000000000000000 -116642136418144615638855573/62500000000000000000000000 8026044999773296272585237/50000000000000000000000000
89760969982604791763487623/62500000000000000000000000 -21869865811139641967877927/15625000000000000000000000 941439959879972341876939/976562500000000000000000 -116642136418144615638855573/62500000000000000000000000 33994637637107610899336843/15625000000000000000000000 -2339141752756594878585867/12500000000000000000000000
-6176375077022493370791687/50000000000000000000000000 1504846640582497284676263/12500000000000000000000000 -64779673234843308258891/781250000000000000000000 8026044999773296272585237/50000000000000000000000000 -2339141752756594878585867/12500000000000000000000000 160954330441709552970123/10000000000000000000000000


--- 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 :
70566164269708898514767841/250000000000000000000000000 -59312188999836656180113257/500000000000000000000000000 -225419400840146099199389847/500000000000000000000000000 -10904574982427134304248533/15625000000000000000000000 28089799083533385447531471/500000000000000000000000000 23318561508334747384256331/250000000000000000000000000
-59312188999836656180113257/500000000000000000000000000 49853011005480526829162289/1000000000000000000000000000 189469248402947637456064719/1000000000000000000000000000 9165500477659401118700541/31250000000000000000000000 -23610004730342750112397767/1000000000000000000000000000 -19599689762085635436381987/500000000000000000000000000
-225419400840146099199389847/500000000000000000000000000 189469248402947637456064719/1000000000000000000000000000 720088824452978572245651249/1000000000000000000000000000 34834014068840807729630211/31250000000000000000000000 -89731186959927156554688057/1000000000000000000000000000 -74489753241686241400723677/500000000000000000000000000
-10904574982427134304248533/15625000000000000000000000 9165500477659401118700541/31250000000000000000000000 34834014068840807729630211/31250000000000000000000000 1685081749560514495856729/976562500000000000000000 -4340710927364203004013723/31250000000000000000000000 -3603412557300167210872903/15625000000000000000000000
28089799083533385447531471/500000000000000000000000000 -23610004730342750112397767/1000000000000000000000000000 -89731186959927156554688057/1000000000000000000000000000 -4340710927364203004013723/31250000000000000000000000 11181517668120917087216001/1000000000000000000000000000 9282263170527865023950661/500000000000000000000000000
23318561508334747384256331/250000000000000000000000000 -19599689762085635436381987/500000000000000000000000000 -74489753241686241400723677/500000000000000000000000000 -3603412557300167210872903/15625000000000000000000000 9282263170527865023950661/500000000000000000000000000 7705609571461464436400921/250000000000000000000000000


--- 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 :
600753472323042766072892299/250000000000000000000000000 11609675313771620354603567/50000000000000000000000000 56455080562722187864746197/100000000000000000000000000 274168654788487452285367403/500000000000000000000000000 64892967333099318038111313/500000000000000000000000000 -2330648034867175472159911449/500000000000000000000000000 14975658072096636424824293/10000000000000000000000000 -256163055564669603904512901/500000000000000000000000000 -117252523279463042825363193/125000000000000000000000000 -8896454397855370475277361/125000000000000000000000000 27308376281873468187536681/50000000000000000000000000 -226463212695388371832723769/500000000000000000000000000
11609675313771620354603567/50000000000000000000000000 3608977481286188666724691/100000000000000000000000000 95655759054120831772493/625000000000000000000000 7455475704642361614418941/50000000000000000000000000 254267080515322792285581/25000000000000000000000000 -5170082689796288863443809/10000000000000000000000000 -3080369831091221153541661/100000000000000000000000000 -350358579969358965923037/5000000000000000000000000 -25195265807404280236600349/100000000000000000000000000 -6545714328736860013339/200000000000000000000000 2973633053047523778479161/20000000000000000000000000 14058841384411610592368559/100000000000000000000000000
56455080562722187864746197/100000000000000000000000000 95655759054120831772493/625000000000000000000000 843204178512427109934593161/1000000000000000000000000000 822275837632799438470723197/1000000000000000000000000000 535758321235554717449667/40000000000000000000000000 -1575595699823196100557705721/1000000000000000000000000000 -228570294470262671635222163/250000000000000000000000000 -53747727137286563069041077/200000000000000000000000000 -692052099918418196278798463/500000000000000000000000000 -50803446136471737659840251/250000000000000000000000000 3280767825309914925619501/4000000000000000000000000 244702802689893197640254181/200000000000000000000000000
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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 :
664169097668411604509116153/500000000000000000000000000 150424956405382732494372237/125000000000000000000000000 -159606504943753106225234037/250000000000000000000000000 103735853009865446726821231/100000000000000000000000000
150424956405382732494372237/125000000000000000000000000 34069136292243192865299993/31250000000000000000000000 -36148627860680790201853953/62500000000000000000000000 23494711235117350812124827/25000000000000000000000000
-159606504943753106225234037/250000000000000000000000000 -36148627860680790201853953/62500000000000000000000000 38355046191984037456769193/125000000000000000000000000 -24928767344924084581373811/50000000000000000000000000
103735853009865446726821231/100000000000000000000000000 23494711235117350812124827/25000000000000000000000000 -24928767344924084581373811/50000000000000000000000000 243312387012518058230789261/100000000000000000000000000


--- 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 :
945738960862863980992820817/250000000000000000000000000 2071578936666548094278042101/1000000000000000000000000000 2230408422433892042024079501/1000000000000000000000000000 -35693104432653943670913257/50000000000000000000000000 -7698595185198986521708911/12500000000000000000000000 85124047180987151874801649/50000000000000000000000000 -2235091511989423389487026153/1000000000000000000000000000 414308654240049157145246179/1000000000000000000000000000 -1432902795400957244930232337/1000000000000000000000000000 -3680361179322425536813508651/1000000000000000000000000000
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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 :
4822745038294223168194239/1000000000000000000000000000 812044869430172119976087/250000000000000000000000000 11153568178675469420847133/250000000000000000000000000 40004233656594214147765323/250000000000000000000000000 4082811562626224870050037/20000000000000000000000000 23823006866249437028049907/1000000000000000000000000000
812044869430172119976087/250000000000000000000000000 552050233008120737897571/250000000000000000000000000 1834342826000956275301887/62500000000000000000000000 52113350211251530962279503/500000000000000000000000000 218319934417367508023621/1562500000000000000000000 2020514925750032767179643/125000000000000000000000000
11153568178675469420847133/250000000000000000000000000 1834342826000956275301887/62500000000000000000000000 968063161018244459019983097/500000000000000000000000000 800558643190352670512977549/500000000000000000000000000 181237194143291057825902309/100000000000000000000000000 54081744284625206435639359/250000000000000000000000000
40004233656594214147765323/250000000000000000000000000 52113350211251530962279503/500000000000000000000000000 800558643190352670512977549/500000000000000000000000000 5922589872909207017948400969/1000000000000000000000000000 638710002903262333075137191/100000000000000000000000000 384928730112058680027003013/500000000000000000000000000
4082811562626224870050037/20000000000000000000000000 218319934417367508023621/1562500000000000000000000 181237194143291057825902309/100000000000000000000000000 638710002903262333075137191/100000000000000000000000000 177684389177718821565765319/20000000000000000000000000 20427160194870653437699513/20000000000000000000000000
23823006866249437028049907/1000000000000000000000000000 2020514925750032767179643/125000000000000000000000000 54081744284625206435639359/250000000000000000000000000 384928730112058680027003013/500000000000000000000000000 20427160194870653437699513/20000000000000000000000000 118369655467849736596989491/1000000000000000000000000000


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


--- Term 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 :
88652078122377880848861783/1000000000000000000000000000 849222680645000981/500000000000000000000000000 -3632875225274085936569457/500000000000000000000000000 3632875225274085936569457/500000000000000000000000000 7265750794569307676210047/1000000000000000000000000000 -150783823718780351928367/12500000000000000000000000 -5630137555630291/10000000000000000000000000
849222680645000981/500000000000000000000000000 63182438559398353035690517/31250000000000000000000000 10956086249205956776816527/50000000000000000000000000 -10956086249205956776816527/50000000000000000000000000 109560862461825758139945643/500000000000000000000000000 -203265666976474607/500000000000000000000000000 -358882453907194960408133959/500000000000000000000000000
-3632875225274085936569457/500000000000000000000000000 10956086249205956776816527/50000000000000000000000000 6085837140133978142744427/250000000000000000000000000 -6085837140133978142744427/250000000000000000000000000 11576187591118201861820091/500000000000000000000000000 247158924473080210244679/250000000000000000000000000 -19447389219963635217338787/250000000000000000000000000
3632875225274085936569457/500000000000000000000000000 -10956086249205956776816527/50000000000000000000000000 -6085837140133978142744427/250000000000000000000000000 6085837140133978142744427/250000000000000000000000000 -11576187591118201861820091/500000000000000000000000000 -247158924473080210244679/250000000000000000000000000 19447389219963635217338787/250000000000000000000000000
7265750794569307676210047/1000000000000000000000000000 109560862461825758139945643/500000000000000000000000000 11576187591118201861820091/500000000000000000000000000 -11576187591118201861820091/500000000000000000000000000 24343348543474723523882507/1000000000000000000000000000 -494317891363661770589681/500000000000000000000000000 -38894778425920287489668827/500000000000000000000000000
-150783823718780351928367/12500000000000000000000000 -203265666976474607/500000000000000000000000000 247158924473080210244679/250000000000000000000000000 -247158924473080210244679/250000000000000000000000000 -494317891363661770589681/500000000000000000000000000 1641347576407348555779401/1000000000000000000000000000 138885915417652357/1000000000000000000000000000
-5630137555630291/10000000000000000000000000 -358882453907194960408133959/500000000000000000000000000 -19447389219963635217338787/250000000000000000000000000 19447389219963635217338787/250000000000000000000000000 -38894778425920287489668827/500000000000000000000000000 138885915417652357/1000000000000000000000000000 254810946401995688444275649/1000000000000000000000000000


--- 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 :
1858048438135708109580299243/125000000000000000000000000 109481523772775937074829401/62500000000000000000000000 -4095457593522714551824333/15625000000000000000000000 98000505859493031892481207/250000000000000000000000000 -1360727348390921194035664219/125000000000000000000000000 -281330903540658724193789637/125000000000000000000000000 -540100946347224814632881597/250000000000000000000000000 -471525969061525073090010967/62500000000000000000000000 -270020182921677578387197117/250000000000000000000000000 8936233979751488901209477/12500000000000000000000000 -203441124392103330082034487/125000000000000000000000000 1080961083032736561403964197/250000000000000000000000000
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1080961083032736561403964197/250000000000000000000000000 52268121095958986207399281/200000000000000000000000000 -354389498419370235871593643/1000000000000000000000000000 22203857117443840296049447/1000000000000000000000000000 -836660179342145057039842213/1000000000000000000000000000 -548108783875560057119493637/1000000000000000000000000000 -608966288722961570990097483/250000000000000000000000000 -1150722506861058201630001607/500000000000000000000000000 -19838813150923435246228897/40000000000000000000000000 386032121955732129924274459/1000000000000000000000000000 -10259248036985488239416839/1000000000000000000000000000 1909339562099786489137293801/1000000000000000000000000000


--- 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 :
3013130580397413855493903873/250000000000000000000000000 63503957171126735649882507/10000000000000000000000000 3454460673294276812076578253/500000000000000000000000000 1472459178870786143744443119/250000000000000000000000000
63503957171126735649882507/10000000000000000000000000 2377955624369483307124858697/500000000000000000000000000 2504997249381747451562736067/500000000000000000000000000 14164105011332791178738403/3125000000000000000000000
3454460673294276812076578253/500000000000000000000000000 2504997249381747451562736067/500000000000000000000000000 5868019899884700654974269297/1000000000000000000000000000 2168876418737668184905899699/500000000000000000000000000
1472459178870786143744443119/250000000000000000000000000 14164105011332791178738403/3125000000000000000000000 2168876418737668184905899699/500000000000000000000000000 1160737380374243588688386247/250000000000000000000000000


--- 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 :
609237718884903231156610521/1000000000000000000000000000 253691634949548282746567847/500000000000000000000000000 14412400529734452920789709/250000000000000000000000000 24142574698642025383145871/40000000000000000000000000 -3673030556152229796177759/50000000000000000000000000 -402692526015371396531639661/1000000000000000000000000000
253691634949548282746567847/500000000000000000000000000 105639299157597971574874329/250000000000000000000000000 6001443017395999114979763/125000000000000000000000000 10053168176127290175885297/20000000000000000000000000 -1529480362304924909806113/25000000000000000000000000 -167684504980728253242199827/500000000000000000000000000
14412400529734452920789709/250000000000000000000000000 6001443017395999114979763/125000000000000000000000000 340946206366995714314961/62500000000000000000000000 571127567434144477724859/10000000000000000000000000 -86890857037070755998411/12500000000000000000000000 -9526274876556825820598769/250000000000000000000000000
24142574698642025383145871/40000000000000000000000000 10053168176127290175885297/20000000000000000000000000 571127567434144477724859/10000000000000000000000000 956710156006647924603721/1600000000000000000000000 -145553060527187347580409/2000000000000000000000000 -15957702697241618224394011/40000000000000000000000000
-3673030556152229796177759/50000000000000000000000000 -1529480362304924909806113/25000000000000000000000000 -86890857037070755998411/12500000000000000000000000 -145553060527187347580409/2000000000000000000000000 22144317477783574184361/2500000000000000000000000 2427791167453991444523819/50000000000000000000000000
-402692526015371396531639661/1000000000000000000000000000 -167684504980728253242199827/500000000000000000000000000 -9526274876556825820598769/250000000000000000000000000 -15957702697241618224394011/40000000000000000000000000 2427791167453991444523819/50000000000000000000000000 266170766323278096574256401/1000000000000000000000000000


--- Term 17 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

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

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

Matrix :
60580631150356566453636417/1000000000000000000000000000 -60580631150356566453636417/1000000000000000000000000000 -71145314732304173/1000000000000000000000000000 -17747135741692164220434321/500000000000000000000000000 8873567657521534665136947/250000000000000000000000000 -8873567595583399786201583/250000000000000000000000000 0/1 -197189239739028195274983693/1000000000000000000000000000 197189239739028195274983693/1000000000000000000000000000 -187401229143645663/1000000000000000000000000000
-60580631150356566453636417/1000000000000000000000000000 60580631150356566453636417/1000000000000000000000000000 71145314732304173/1000000000000000000000000000 17747135741692164220434321/500000000000000000000000000 -8873567657521534665136947/250000000000000000000000000 8873567595583399786201583/250000000000000000000000000 0/1 197189239739028195274983693/1000000000000000000000000000 -197189239739028195274983693/1000000000000000000000000000 187401229143645663/1000000000000000000000000000
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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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--- 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 :
1926561024270211173/1250000000000000000000000 1557387099059409567719/12500000000000000000000000 -1947916169561668111193/25000000000000000000000000 -20172516178731046271/6250000000000000000000000 -125524514145135881007/25000000000000000000000000 26476342026756079047/25000000000000000000000000
1557387099059409567719/12500000000000000000000000 1258955488957590611689557/125000000000000000000000000 -1574651182887224385962029/250000000000000000000000000 -16306992644691532878963/62500000000000000000000000 -101471096156629794022571/250000000000000000000000000 21402858764037084352491/250000000000000000000000000
-1947916169561668111193/25000000000000000000000000 -1574651182887224385962029/250000000000000000000000000 82826371892051938173521401/1000000000000000000000000000 40792269759245598554747/250000000000000000000000000 253831910394247929118999/1000000000000000000000000000 -53539626840346641706779/1000000000000000000000000000
-20172516178731046271/6250000000000000000000000 -16306992644691532878963/62500000000000000000000000 40792269759245598554747/250000000000000000000000000 422442272894338241409/62500000000000000000000000 2628668659358279864053/250000000000000000000000000 -554453693560695847713/250000000000000000000000000
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26476342026756079047/25000000000000000000000000 21402858764037084352491/250000000000000000000000000 -53539626840346641706779/1000000000000000000000000000 -554453693560695847713/250000000000000000000000000 -3450116479448561860821/1000000000000000000000000000 727718123938808191041/1000000000000000000000000000


--- 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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