#Density : 1487486111322396004248222029/9600000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 11, 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 :
3755223879393227320717/312500000000000000000000 -33577055854839161033237/781250000000000000000000 183930954269969937079401/6250000000000000000000000 102067541989751594708573/3125000000000000000000000 -90512354774301414459967/3125000000000000000000000 7542876463646608995779/625000000000000000000000
-33577055854839161033237/781250000000000000000000 300226755071966088916957/1953125000000000000000000 -1644604988492603385626961/15625000000000000000000000 -912629358042373030468453/7812500000000000000000000 809309508412266353902487/7812500000000000000000000 -67444070569485486489019/1562500000000000000000000
183930954269969937079401/6250000000000000000000000 -1644604988492603385626961/15625000000000000000000000 9008942482579268322402453/125000000000000000000000000 4999270616376315159390969/62500000000000000000000000 -4433297273756506957809651/62500000000000000000000000 369450267269601333138087/12500000000000000000000000
102067541989751594708573/3125000000000000000000000 -912629358042373030468453/7812500000000000000000000 4999270616376315159390969/62500000000000000000000000 2774210929206441966779437/31250000000000000000000000 -2460139226908103310091823/31250000000000000000000000 205016500987194854910451/6250000000000000000000000
-90512354774301414459967/3125000000000000000000000 809309508412266353902487/7812500000000000000000000 -4433297273756506957809651/62500000000000000000000000 -2460139226908103310091823/31250000000000000000000000 2181623953699600426411717/31250000000000000000000000 -181806340293784305460529/6250000000000000000000000
7542876463646608995779/625000000000000000000000 -67444070569485486489019/1562500000000000000000000 369450267269601333138087/12500000000000000000000000 205016500987194854910451/6250000000000000000000000 -181806340293784305460529/6250000000000000000000000 15150890379144883438573/1250000000000000000000000


--- 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 :
15150890379144883438573/1250000000000000000000000 205016500987194854910451/6250000000000000000000000 -181806340293784305460529/6250000000000000000000000 -67444070569485486489019/1562500000000000000000000 369450267269601333138087/12500000000000000000000000 7542876463646608995779/625000000000000000000000
205016500987194854910451/6250000000000000000000000 2774210929206441966779437/31250000000000000000000000 -2460139226908103310091823/31250000000000000000000000 -912629358042373030468453/7812500000000000000000000 4999270616376315159390969/62500000000000000000000000 102067541989751594708573/3125000000000000000000000
-181806340293784305460529/6250000000000000000000000 -2460139226908103310091823/31250000000000000000000000 2181623953699600426411717/31250000000000000000000000 809309508412266353902487/7812500000000000000000000 -4433297273756506957809651/62500000000000000000000000 -90512354774301414459967/3125000000000000000000000
-67444070569485486489019/1562500000000000000000000 -912629358042373030468453/7812500000000000000000000 809309508412266353902487/7812500000000000000000000 300226755071966088916957/1953125000000000000000000 -1644604988492603385626961/15625000000000000000000000 -33577055854839161033237/781250000000000000000000
369450267269601333138087/12500000000000000000000000 4999270616376315159390969/62500000000000000000000000 -4433297273756506957809651/62500000000000000000000000 -1644604988492603385626961/15625000000000000000000000 9008942482579268322402453/125000000000000000000000000 183930954269969937079401/6250000000000000000000000
7542876463646608995779/625000000000000000000000 102067541989751594708573/3125000000000000000000000 -90512354774301414459967/3125000000000000000000000 -33577055854839161033237/781250000000000000000000 183930954269969937079401/6250000000000000000000000 3755223879393227320717/312500000000000000000000


--- 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 :
1849020130275927955667613611/1000000000000000000000000000 -205629640061633635852762081/100000000000000000000000000 93059054627984582715387557/200000000000000000000000000 192295944845411418362685139/1000000000000000000000000000 266632294206711493213637467/1000000000000000000000000000 -425979693438610671333111091/1000000000000000000000000000 -16832717335772857643264437/25000000000000000000000000 639398309618434546139181041/500000000000000000000000000 1795834420243641272353551/500000000000000000000000000 120069742792578105089593559/1000000000000000000000000000 53027754043511402294664001/500000000000000000000000000 15271055857723220980184869/250000000000000000000000000
-205629640061633635852762081/100000000000000000000000000 2339875320007799170120497943/1000000000000000000000000000 -433601274570187976349103473/1000000000000000000000000000 -50039927867715058339736201/500000000000000000000000000 -67875700173498217629602959/250000000000000000000000000 264649788782492492667521519/500000000000000000000000000 606725655718104509129426801/500000000000000000000000000 -1359430498033989224231422253/1000000000000000000000000000 -159990472328563661878472513/500000000000000000000000000 -2984999123641773163451039/1000000000000000000000000000 -13107346802682615786046577/62500000000000000000000000 -3708936980873161204837803/6250000000000000000000000
93059054627984582715387557/200000000000000000000000000 -433601274570187976349103473/1000000000000000000000000000 15759040947734092664845627/62500000000000000000000000 227569731279598600760572359/1000000000000000000000000000 24013362339669082180501269/200000000000000000000000000 -21062038668016129843308747/1000000000000000000000000000 34479691273372389145063563/62500000000000000000000000 95317072266446851585150567/200000000000000000000000000 -61793791107943125813376979/125000000000000000000000000 7034097240425834329475277/31250000000000000000000000 -70439641928238277500530721/500000000000000000000000000 -80603967183093780466098671/100000000000000000000000000
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15271055857723220980184869/250000000000000000000000000 -3708936980873161204837803/6250000000000000000000000 -80603967183093780466098671/100000000000000000000000000 -224477689838259289361065787/200000000000000000000000000 -191813794572964104903980933/1000000000000000000000000000 -570195555020717771002683193/1000000000000000000000000000 -1167419827863096874326593163/250000000000000000000000000 -383542115299395454058371663/1000000000000000000000000000 3143417945721201426317952319/1000000000000000000000000000 -1328765271754480628081136367/1000000000000000000000000000 208296723777148938106382473/250000000000000000000000000 5237219817883613243449038809/1000000000000000000000000000


--- 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 :
162416511433922512946975783/125000000000000000000000000 132371646646044150200080117/200000000000000000000000000 11202839292589720910444133/6250000000000000000000000 -252520765543941942699588607/1000000000000000000000000000
132371646646044150200080117/200000000000000000000000000 2894868421215452180590244687/1000000000000000000000000000 37095941671823626631196967/250000000000000000000000000 -49260079073194972526154647/250000000000000000000000000
11202839292589720910444133/6250000000000000000000000 37095941671823626631196967/250000000000000000000000000 270133090567944650916085201/100000000000000000000000000 -81976323437510305414403871/250000000000000000000000000
-252520765543941942699588607/1000000000000000000000000000 -49260079073194972526154647/250000000000000000000000000 -81976323437510305414403871/250000000000000000000000000 1900034031362513397741218641/1000000000000000000000000000


--- 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 :
350443288935700646270328777/62500000000000000000000000 104868061458204925040321223/62500000000000000000000000 375172449212745705617779287/500000000000000000000000000 936699801039326860686554289/500000000000000000000000000 7013553762390012064281417/40000000000000000000000000 -221756039872733279449850337/500000000000000000000000000 -72329187518202736408575501/125000000000000000000000000 -139646700004583359326032109/200000000000000000000000000 -1387316913531801797127618147/500000000000000000000000000 -74234683857427227274681833/15625000000000000000000000
104868061458204925040321223/62500000000000000000000000 478872836664683040104179549/500000000000000000000000000 255003241234056053877847823/250000000000000000000000000 -31262055502631842392578121/500000000000000000000000000 21760758034850122074337769/100000000000000000000000000 -147098908691195038655345473/250000000000000000000000000 233080286497528893636710947/500000000000000000000000000 -60769069906664543432976989/62500000000000000000000000 -107510164850069517598651203/100000000000000000000000000 -72329187518202736408575501/125000000000000000000000000
375172449212745705617779287/500000000000000000000000000 255003241234056053877847823/250000000000000000000000000 91554390637283324917139093/50000000000000000000000000 -43775789165639932489008233/62500000000000000000000000 238571179476065381724179817/1000000000000000000000000000 -237475106335785094032273571/250000000000000000000000000 255003241234056053877847823/250000000000000000000000000 -957498996024194056151884413/500000000000000000000000000 -43775789165639932489008233/62500000000000000000000000 375172449212745705617779287/500000000000000000000000000
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-74234683857427227274681833/15625000000000000000000000 -72329187518202736408575501/125000000000000000000000000 375172449212745705617779287/500000000000000000000000000 -1387316913531801797127618147/500000000000000000000000000 7013553762390012064281417/40000000000000000000000000 -221756039872733279449850337/500000000000000000000000000 104868061458204925040321223/62500000000000000000000000 -139646700004583359326032109/200000000000000000000000000 936699801039326860686554289/500000000000000000000000000 350443288935700646270328777/62500000000000000000000000


--- 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 :
31610946611733498582728631/1000000000000000000000000000 -79549520335640725422659341/500000000000000000000000000 0/1 38232048351876480298420531/500000000000000000000000000 -31610946611733498582728631/1000000000000000000000000000 79549520335640725422659341/500000000000000000000000000
-79549520335640725422659341/500000000000000000000000000 100093905180327847637216081/125000000000000000000000000 0/1 -192423285715254172798249361/500000000000000000000000000 79549520335640725422659341/500000000000000000000000000 -100093905180327847637216081/125000000000000000000000000
0/1 0/1 92594276814811446092594277/125000000000000000000000000 0/1 0/1 0/1
38232048351876480298420531/500000000000000000000000000 -192423285715254172798249361/500000000000000000000000000 0/1 128771951321637843489896411/200000000000000000000000000 -38232048351876480298420531/500000000000000000000000000 192423285715254172798249361/500000000000000000000000000
-31610946611733498582728631/1000000000000000000000000000 79549520335640725422659341/500000000000000000000000000 0/1 -38232048351876480298420531/500000000000000000000000000 31610946611733498582728631/1000000000000000000000000000 -79549520335640725422659341/500000000000000000000000000
79549520335640725422659341/500000000000000000000000000 -100093905180327847637216081/125000000000000000000000000 0/1 192423285715254172798249361/500000000000000000000000000 -79549520335640725422659341/500000000000000000000000000 100093905180327847637216081/125000000000000000000000000


--- 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 :
2802335934147352948522039299/1000000000000000000000000000 358104100691992178650223139/500000000000000000000000000 -95247658748046062212425237/500000000000000000000000000 -72160258866970491598356711/250000000000000000000000000 -100474651107843113668106447/31250000000000000000000000 -241306416621648018214069011/500000000000000000000000000 -41082115634593877900386041/250000000000000000000000000 30957654864424558157284581/100000000000000000000000000 2247389363152138282431230757/1000000000000000000000000000
358104100691992178650223139/500000000000000000000000000 14435495076591186389474841/50000000000000000000000000 3194207461976956446917769/250000000000000000000000000 -4411666834661535258167871/50000000000000000000000000 -10833437348402619163059921/15625000000000000000000000 -50317353123707100932275329/250000000000000000000000000 10214429252854086409381791/250000000000000000000000000 -2311362665597989670891313/250000000000000000000000000 30957654864424558157284581/100000000000000000000000000
-95247658748046062212425237/500000000000000000000000000 3194207461976956446917769/250000000000000000000000000 140587695720858193054987167/1000000000000000000000000000 60025864493493146113710573/1000000000000000000000000000 22892662470598605599810317/50000000000000000000000000 -2635923429094267176554949/200000000000000000000000000 -32147995367538879963005559/1000000000000000000000000000 -50317353123707100932275329/250000000000000000000000000 -241306416621648018214069011/500000000000000000000000000
-72160258866970491598356711/250000000000000000000000000 -4411666834661535258167871/50000000000000000000000000 60025864493493146113710573/1000000000000000000000000000 97717798661970360803536119/1000000000000000000000000000 20052456830772886092530787/50000000000000000000000000 60025864493493146113710573/1000000000000000000000000000 -43035818226473459038548957/1000000000000000000000000000 -4411666834661535258167871/50000000000000000000000000 -72160258866970491598356711/250000000000000000000000000
-100474651107843113668106447/31250000000000000000000000 -10833437348402619163059921/15625000000000000000000000 22892662470598605599810317/50000000000000000000000000 20052456830772886092530787/50000000000000000000000000 258735076580037846533947339/62500000000000000000000000 22892662470598605599810317/50000000000000000000000000 31315209074906440393571619/250000000000000000000000000 -10833437348402619163059921/15625000000000000000000000 -100474651107843113668106447/31250000000000000000000000
-241306416621648018214069011/500000000000000000000000000 -50317353123707100932275329/250000000000000000000000000 -2635923429094267176554949/200000000000000000000000000 60025864493493146113710573/1000000000000000000000000000 22892662470598605599810317/50000000000000000000000000 140587695720858193054987167/1000000000000000000000000000 -32147995367538879963005559/1000000000000000000000000000 3194207461976956446917769/250000000000000000000000000 -95247658748046062212425237/500000000000000000000000000
-41082115634593877900386041/250000000000000000000000000 10214429252854086409381791/250000000000000000000000000 -32147995367538879963005559/1000000000000000000000000000 -43035818226473459038548957/1000000000000000000000000000 31315209074906440393571619/250000000000000000000000000 -32147995367538879963005559/1000000000000000000000000000 6629994196440047843916711/40000000000000000000000000 10214429252854086409381791/250000000000000000000000000 -41082115634593877900386041/250000000000000000000000000
30957654864424558157284581/100000000000000000000000000 -2311362665597989670891313/250000000000000000000000000 -50317353123707100932275329/250000000000000000000000000 -4411666834661535258167871/50000000000000000000000000 -10833437348402619163059921/15625000000000000000000000 3194207461976956446917769/250000000000000000000000000 10214429252854086409381791/250000000000000000000000000 14435495076591186389474841/50000000000000000000000000 358104100691992178650223139/500000000000000000000000000
2247389363152138282431230757/1000000000000000000000000000 30957654864424558157284581/100000000000000000000000000 -241306416621648018214069011/500000000000000000000000000 -72160258866970491598356711/250000000000000000000000000 -100474651107843113668106447/31250000000000000000000000 -95247658748046062212425237/500000000000000000000000000 -41082115634593877900386041/250000000000000000000000000 358104100691992178650223139/500000000000000000000000000 2802335934147352948522039299/1000000000000000000000000000


--- 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 :
147319324562314304389711/62500000000000000000000000 -74430363467800951/62500000000000000000000000 4899216921052618796440969/250000000000000000000000000 -979843374548776543091749/50000000000000000000000000 -19596868456679653513145119/1000000000000000000000000000 -9706401671689299495056687/125000000000000000000000000 8706730187413603/125000000000000000000000000
-74430363467800951/62500000000000000000000000 15988098250532190891891773/6250000000000000000000000 322793822216328415934160551/500000000000000000000000000 -322793821052270528039768533/500000000000000000000000000 645587644857781613975769859/1000000000000000000000000000 179411070856600487/62500000000000000000000000 -9706401671689299495056687/125000000000000000000000000
4899216921052618796440969/250000000000000000000000000 322793822216328415934160551/500000000000000000000000000 716523309230811235298481269/1000000000000000000000000000 -414211842803943090134076067/1000000000000000000000000000 -7557786635046565793650967/50000000000000000000000000 -322793821052270528039768533/500000000000000000000000000 -979843374548776543091749/50000000000000000000000000
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-9706401671689299495056687/125000000000000000000000000 179411070856600487/62500000000000000000000000 -322793821052270528039768533/500000000000000000000000000 322793822216328415934160551/500000000000000000000000000 645587644857781613975769859/1000000000000000000000000000 15988098250532190891891773/6250000000000000000000000 -74430363467800951/62500000000000000000000000
8706730187413603/125000000000000000000000000 -9706401671689299495056687/125000000000000000000000000 -979843374548776543091749/50000000000000000000000000 4899216921052618796440969/250000000000000000000000000 -19596868456679653513145119/1000000000000000000000000000 -74430363467800951/62500000000000000000000000 147319324562314304389711/62500000000000000000000000


--- 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 :
5237219817883613243449038809/1000000000000000000000000000 -570195555020717771002683193/1000000000000000000000000000 -1328765271754480628081136367/1000000000000000000000000000 -224477689838259289361065787/200000000000000000000000000 -383542115299395454058371663/1000000000000000000000000000 -3708936980873161204837803/6250000000000000000000000 208296723777148938106382473/250000000000000000000000000 -191813794572964104903980933/1000000000000000000000000000 3143417945721201426317952319/1000000000000000000000000000 -80603967183093780466098671/100000000000000000000000000 -1167419827863096874326593163/250000000000000000000000000 15271055857723220980184869/250000000000000000000000000
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208296723777148938106382473/250000000000000000000000000 -10576753487803643962788501/100000000000000000000000000 -59079200767385564385374109/500000000000000000000000000 -90219531487416644918676503/500000000000000000000000000 -32925677300038442091511147/62500000000000000000000000 -13107346802682615786046577/62500000000000000000000000 90988711363550490059796477/250000000000000000000000000 -73316670326423832570599137/500000000000000000000000000 7982319989299144782707387/15625000000000000000000000 -70439641928238277500530721/500000000000000000000000000 -181556763046671260598156867/250000000000000000000000000 53027754043511402294664001/500000000000000000000000000
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15271055857723220980184869/250000000000000000000000000 -425979693438610671333111091/1000000000000000000000000000 120069742792578105089593559/1000000000000000000000000000 192295944845411418362685139/1000000000000000000000000000 639398309618434546139181041/500000000000000000000000000 -205629640061633635852762081/100000000000000000000000000 53027754043511402294664001/500000000000000000000000000 266632294206711493213637467/1000000000000000000000000000 1795834420243641272353551/500000000000000000000000000 93059054627984582715387557/200000000000000000000000000 -16832717335772857643264437/25000000000000000000000000 1849020130275927955667613611/1000000000000000000000000000


--- 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 :
1900034031362513397741218641/1000000000000000000000000000 -49260079073194972526154647/250000000000000000000000000 -81976323437510305414403871/250000000000000000000000000 -252520765543941942699588607/1000000000000000000000000000
-49260079073194972526154647/250000000000000000000000000 2894868421215452180590244687/1000000000000000000000000000 37095941671823626631196967/250000000000000000000000000 132371646646044150200080117/200000000000000000000000000
-81976323437510305414403871/250000000000000000000000000 37095941671823626631196967/250000000000000000000000000 270133090567944650916085201/100000000000000000000000000 11202839292589720910444133/6250000000000000000000000
-252520765543941942699588607/1000000000000000000000000000 132371646646044150200080117/200000000000000000000000000 11202839292589720910444133/6250000000000000000000000 162416511433922512946975783/125000000000000000000000000


--- 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 :
10081975111028346592396523/100000000000000000000000000 85927671477852085474829499/250000000000000000000000000 -8607697447444958468627497/250000000000000000000000000 78493491655656242340992627/500000000000000000000000000 110486985017405968836139/7812500000000000000000000 -59990663104801617234765603/500000000000000000000000000
85927671477852085474829499/250000000000000000000000000 1408166356477401653214261879/1000000000000000000000000000 -23989542258134575838152329/100000000000000000000000000 527938690200093204614947047/1000000000000000000000000000 2091101539310239974808521/50000000000000000000000000 -40592046036748569335966607/100000000000000000000000000
-8607697447444958468627497/250000000000000000000000000 -23989542258134575838152329/100000000000000000000000000 18813025716125135329413821/250000000000000000000000000 -24926206279664175854265799/500000000000000000000000000 -189668638569650129275067/125000000000000000000000000 1230006930767072375739129/31250000000000000000000000
78493491655656242340992627/500000000000000000000000000 527938690200093204614947047/1000000000000000000000000000 -24926206279664175854265799/500000000000000000000000000 244667942790776408654763397/1000000000000000000000000000 5554314265323644917999793/250000000000000000000000000 -5841224306984141809839523/31250000000000000000000000
110486985017405968836139/7812500000000000000000000 2091101539310239974808521/50000000000000000000000000 -189668638569650129275067/125000000000000000000000000 5554314265323644917999793/250000000000000000000000000 134787247168656129652759/62500000000000000000000000 -2114301948165497167041239/125000000000000000000000000
-59990663104801617234765603/500000000000000000000000000 -40592046036748569335966607/100000000000000000000000000 1230006930767072375739129/31250000000000000000000000 -5841224306984141809839523/31250000000000000000000000 -2114301948165497167041239/125000000000000000000000000 71412877732227691048723213/500000000000000000000000000


--- 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 :
46640890250344750781441659/20000000000000000000000000 -46640890250344750781441659/20000000000000000000000000 89058572461203677/50000000000000000000000000 676496421230280131794274727/500000000000000000000000000 -676496421230280131794274727/500000000000000000000000000 169124104673273401261555527/125000000000000000000000000 0/1 -27687025729369553326563607/62500000000000000000000000 27687025729369553326563607/62500000000000000000000000 242065878225507473/125000000000000000000000000
-46640890250344750781441659/20000000000000000000000000 46640890250344750781441659/20000000000000000000000000 -89058572461203677/50000000000000000000000000 -676496421230280131794274727/500000000000000000000000000 676496421230280131794274727/500000000000000000000000000 -169124104673273401261555527/125000000000000000000000000 0/1 27687025729369553326563607/62500000000000000000000000 -27687025729369553326563607/62500000000000000000000000 -242065878225507473/125000000000000000000000000
89058572461203677/50000000000000000000000000 -89058572461203677/50000000000000000000000000 2332044512950495231343654963/1000000000000000000000000000 1352992840034201488237442301/1000000000000000000000000000 -1352992840034201488237442301/1000000000000000000000000000 -676496421709798823801061381/500000000000000000000000000 0/1 -578339883736526069/250000000000000000000000000 578339883736526069/250000000000000000000000000 -442992411870908260469480929/1000000000000000000000000000
676496421230280131794274727/500000000000000000000000000 -676496421230280131794274727/500000000000000000000000000 1352992840034201488237442301/1000000000000000000000000000 1590183308492396166221284481/1000000000000000000000000000 -1590183308492396166221284481/1000000000000000000000000000 -490226647077576259/250000000000000000000000000 0/1 -146620019195363634720751609/500000000000000000000000000 146620019195363634720751609/500000000000000000000000000 -293240035261323795515512337/1000000000000000000000000000
-676496421230280131794274727/500000000000000000000000000 676496421230280131794274727/500000000000000000000000000 -1352992840034201488237442301/1000000000000000000000000000 -1590183308492396166221284481/1000000000000000000000000000 1590183308492396166221284481/1000000000000000000000000000 490226647077576259/250000000000000000000000000 0/1 146620019195363634720751609/500000000000000000000000000 -146620019195363634720751609/500000000000000000000000000 293240035261323795515512337/1000000000000000000000000000
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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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27687025729369553326563607/62500000000000000000000000 -27687025729369553326563607/62500000000000000000000000 578339883736526069/250000000000000000000000000 146620019195363634720751609/500000000000000000000000000 -146620019195363634720751609/500000000000000000000000000 146620017600353131048499593/500000000000000000000000000 0/1 -213838858959110038584092449/1000000000000000000000000000 213838858959110038584092449/1000000000000000000000000000 952252349178981/12500000000000000000000000
242065878225507473/125000000000000000000000000 -242065878225507473/125000000000000000000000000 -442992411870908260469480929/1000000000000000000000000000 -293240035261323795515512337/1000000000000000000000000000 293240035261323795515512337/1000000000000000000000000000 293240038997691851437080817/1000000000000000000000000000 0/1 -952252349178981/12500000000000000000000000 952252349178981/12500000000000000000000000 53459714571011727316587397/250000000000000000000000000


--- 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 :
71412877732227691048723213/500000000000000000000000000 -2114301948165497167041239/125000000000000000000000000 1230006930767072375739129/31250000000000000000000000 -5841224306984141809839523/31250000000000000000000000 -40592046036748569335966607/100000000000000000000000000 -59990663104801617234765603/500000000000000000000000000
-2114301948165497167041239/125000000000000000000000000 134787247168656129652759/62500000000000000000000000 -189668638569650129275067/125000000000000000000000000 5554314265323644917999793/250000000000000000000000000 2091101539310239974808521/50000000000000000000000000 110486985017405968836139/7812500000000000000000000
1230006930767072375739129/31250000000000000000000000 -189668638569650129275067/125000000000000000000000000 18813025716125135329413821/250000000000000000000000000 -24926206279664175854265799/500000000000000000000000000 -23989542258134575838152329/100000000000000000000000000 -8607697447444958468627497/250000000000000000000000000
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--- 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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-283483198121493963/125000000000000000000000000 283483198121493963/125000000000000000000000000 -221496205981346766175463139/500000000000000000000000000 169124105020113002735095533/125000000000000000000000000 -169124105020113002735095533/125000000000000000000000000 -27059856876176572372689989/20000000000000000000000000 0/1 389063794368500303/250000000000000000000000000 -389063794368500303/250000000000000000000000000 145752782086953193619895391/62500000000000000000000000

