#Density : 8077217732123228970305510681/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 11, 12, 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 :
9195910965119413679571/2000000000000000000000000 -523981944433163371869/1000000000000000000000000 31558176114747942868299/4000000000000000000000000 -6625312069066641295317/400000000000000000000000 36918181020547676186253/1000000000000000000000000 -111263481644906443048497/4000000000000000000000000
-523981944433163371869/1000000000000000000000000 29856430660689138291/500000000000000000000000 -1798181229254116937061/2000000000000000000000000 377509516304996509563/200000000000000000000000 -2103593689571012633667/500000000000000000000000 6339780330392161871583/2000000000000000000000000
31558176114747942868299/4000000000000000000000000 -1798181229254116937061/2000000000000000000000000 108300143777709471097731/8000000000000000000000000 -22736492978654573590173/800000000000000000000000 126694403947772395931157/2000000000000000000000000 -381829767840122511541593/8000000000000000000000000
-6625312069066641295317/400000000000000000000000 377509516304996509563/200000000000000000000000 -22736492978654573590173/800000000000000000000000 4773291105037368449859/80000000000000000000000 -26598177299800047075531/200000000000000000000000 80161203233093832787719/800000000000000000000000
36918181020547676186253/1000000000000000000000000 -2103593689571012633667/500000000000000000000000 126694403947772395931157/2000000000000000000000000 -26598177299800047075531/200000000000000000000000 148212841015498894280979/500000000000000000000000 -446681723205407293388271/2000000000000000000000000
-111263481644906443048497/4000000000000000000000000 6339780330392161871583/2000000000000000000000000 -381829767840122511541593/8000000000000000000000000 80161203233093832787719/800000000000000000000000 -446681723205407293388271/2000000000000000000000000 1346202936794710247129979/8000000000000000000000000


--- 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 :
126248640712026728516487323/1000000000000000000000000000 19282747819433785141108347/1000000000000000000000000000 -135554522945253648812614943/1000000000000000000000000000 -5686026240717709215089757/40000000000000000000000000 28783083821744103069525153/1000000000000000000000000000 -9461988252616009049196139/1000000000000000000000000000
19282747819433785141108347/1000000000000000000000000000 4485262050506797031427003/1000000000000000000000000000 -19527787565101731417950367/1000000000000000000000000000 -6987243145928442977878497/200000000000000000000000000 21840362041896847622743137/1000000000000000000000000000 2007950011940231255956869/1000000000000000000000000000
-135554522945253648812614943/1000000000000000000000000000 -19527787565101731417950367/1000000000000000000000000000 146444801990017157501825843/1000000000000000000000000000 28505560569053475384447789/200000000000000000000000000 -17581010580767139864507213/1000000000000000000000000000 12796918539446531331369919/1000000000000000000000000000
-5686026240717709215089757/40000000000000000000000000 -6987243145928442977878497/200000000000000000000000000 28505560569053475384447789/200000000000000000000000000 54723025818344544405286071/200000000000000000000000000 -36440111050648554160974387/200000000000000000000000000 -3799628046867424453934919/200000000000000000000000000
28783083821744103069525153/1000000000000000000000000000 21840362041896847622743137/1000000000000000000000000000 -17581010580767139864507213/1000000000000000000000000000 -36440111050648554160974387/200000000000000000000000000 204147168477928949602196403/1000000000000000000000000000 36955542826862908444278111/1000000000000000000000000000
-9461988252616009049196139/1000000000000000000000000000 2007950011940231255956869/1000000000000000000000000000 12796918539446531331369919/1000000000000000000000000000 -3799628046867424453934919/200000000000000000000000000 36955542826862908444278111/1000000000000000000000000000 8451679674544012871759507/1000000000000000000000000000


--- 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 :
969318459092347074976397039/1000000000000000000000000000 885167715983850393191036613/1000000000000000000000000000 215649837274695793565780941/500000000000000000000000000 873180884056558510086499789/1000000000000000000000000000 2203798376413164664172281/1000000000000000000000000000 81029692251672815441893951/100000000000000000000000000 -189235384715066575826163269/200000000000000000000000000 -980549686629789281685526199/500000000000000000000000000 -438032389000433627186315571/500000000000000000000000000 42470825454374219317186803/500000000000000000000000000 -114442076941455816154924761/100000000000000000000000000 -81397817765922766016338863/250000000000000000000000000
885167715983850393191036613/1000000000000000000000000000 809118370856313394262151423/1000000000000000000000000000 191244986995427487395993521/500000000000000000000000000 755089863907307052072540863/1000000000000000000000000000 -3232841100572439504095161/200000000000000000000000000 353412668777896156325285597/500000000000000000000000000 -811567558788742835941103067/1000000000000000000000000000 -177124108304936478756646719/100000000000000000000000000 -78668525917252188067642737/100000000000000000000000000 50479834695340516912253001/500000000000000000000000000 -536295505029524134510557573/500000000000000000000000000 -20493874113592692725463081/62500000000000000000000000
215649837274695793565780941/500000000000000000000000000 191244986995427487395993521/500000000000000000000000000 354240463464794932007893359/1000000000000000000000000000 248108574271197024849815449/250000000000000000000000000 26057001398646113198977333/100000000000000000000000000 416816472411658431006461599/500000000000000000000000000 -292579227833449413409654177/250000000000000000000000000 -1152606790390390096147388647/1000000000000000000000000000 -11601999847354584479874037/20000000000000000000000000 -9258727570332449085115811/31250000000000000000000000 -116152205314668838301821101/1000000000000000000000000000 58361493430315869282139337/200000000000000000000000000
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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 :
228128767529474971334913777/250000000000000000000000000 162783356539386154054171143/500000000000000000000000000 107160854782141766177441259/125000000000000000000000000 11374289068875291747924021/500000000000000000000000000
162783356539386154054171143/500000000000000000000000000 116155544314704772059722111/1000000000000000000000000000 152931204775065867232995029/500000000000000000000000000 12985961972724881044593/1600000000000000000000000
107160854782141766177441259/125000000000000000000000000 152931204775065867232995029/500000000000000000000000000 402700594826317195549464271/500000000000000000000000000 10685881053347400278919177/500000000000000000000000000
11374289068875291747924021/500000000000000000000000000 12985961972724881044593/1600000000000000000000000 10685881053347400278919177/500000000000000000000000000 2048344011843629051111602887/1000000000000000000000000000


--- 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 :
5798846490960100505156585273/1000000000000000000000000000 -1456856279823444082182786299/1000000000000000000000000000 -3845183281024895429866699191/1000000000000000000000000000 473507064521021805498457533/125000000000000000000000000 634497895094040361895242699/1000000000000000000000000000 -904025176081932644630912039/1000000000000000000000000000 -2376492370682923664095642319/500000000000000000000000000 706969055375456542187751353/1000000000000000000000000000 -146902356541797828525512699/250000000000000000000000000 -5249786483909449115118302279/1000000000000000000000000000
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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 :
1131888864578034279525165421/1000000000000000000000000000 -145540806632911808060757197/100000000000000000000000000 22519382532313259720686357/125000000000000000000000000 -28713904972124425477647943/125000000000000000000000000 696052830996284786539388689/1000000000000000000000000000 651534523443709873713124801/500000000000000000000000000
-145540806632911808060757197/100000000000000000000000000 935698152806515888077220107/500000000000000000000000000 -14477963354999676629859593/62500000000000000000000000 73841964607089100846610571/250000000000000000000000000 -447500163896775645080013161/500000000000000000000000000 -837757690136947772870150999/500000000000000000000000000
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651534523443709873713124801/500000000000000000000000000 -837757690136947772870150999/500000000000000000000000000 127573432174642266586374643/1000000000000000000000000000 -329886568087018806376993133/500000000000000000000000000 801319747446699530286582857/1000000000000000000000000000 65984832467040055696164007/40000000000000000000000000


--- 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 :
343312061726207613726095473/200000000000000000000000000 641123555796238234308583/781250000000000000000000 94034834936753570788413671/50000000000000000000000000 -5539246079804519424018143/40000000000000000000000000 -141002684387591209369303157/50000000000000000000000000 -5890349654823511633911831/20000000000000000000000000 90341737288234705284262411/200000000000000000000000000 43216541339786768610763/8000000000000000000000000 -15341285377995292191730579/50000000000000000000000000
641123555796238234308583/781250000000000000000000 4904043948955200613402051/12500000000000000000000000 11238838030259450157676487/12500000000000000000000000 -3310192948280636766275917/50000000000000000000000000 -67409331136903909498573661/50000000000000000000000000 -704001721879787450082537/5000000000000000000000000 2159489413551096095256857/10000000000000000000000000 16141083137985257825441/6250000000000000000000000 -3667113823409008829051243/25000000000000000000000000
94034834936753570788413671/50000000000000000000000000 11238838030259450157676487/12500000000000000000000000 1287829815404861874469811/625000000000000000000000 -3793065761839001294462011/25000000000000000000000000 -30897054033832395471567521/10000000000000000000000000 -32267905457561676344667/100000000000000000000000 12372519495941434377042139/25000000000000000000000000 295930494765515728659293/50000000000000000000000000 -8404104597920642465097337/25000000000000000000000000
-5539246079804519424018143/40000000000000000000000000 -3310192948280636766275917/50000000000000000000000000 -3793065761839001294462011/25000000000000000000000000 737422261067002028965347/50000000000000000000000000 45500793814256791485959151/200000000000000000000000000 118798972838952718958353/5000000000000000000000000 -1822048982326166393759291/50000000000000000000000000 -87160882321384845595977/200000000000000000000000000 2475274374852827412388359/100000000000000000000000000
-141002684387591209369303157/50000000000000000000000000 -67409331136903909498573661/50000000000000000000000000 -30897054033832395471567521/10000000000000000000000000 45500793814256791485959151/200000000000000000000000000 37063435577838647133926667/8000000000000000000000000 1935393959968715800857319/4000000000000000000000000 -148418059136396692328808319/200000000000000000000000000 -443739750084643434873261/50000000000000000000000000 50406907566878708264123181/100000000000000000000000000
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43216541339786768610763/8000000000000000000000000 16141083137985257825441/6250000000000000000000000 295930494765515728659293/50000000000000000000000000 -87160882321384845595977/200000000000000000000000000 -443739750084643434873261/50000000000000000000000000 -18537110091874065722653/20000000000000000000000000 284308203780705482911961/200000000000000000000000000 3400094355814846613433/200000000000000000000000000 -48279493182527776578813/50000000000000000000000000
-15341285377995292191730579/50000000000000000000000000 -3667113823409008829051243/25000000000000000000000000 -8404104597920642465097337/25000000000000000000000000 2475274374852827412388359/100000000000000000000000000 50406907566878708264123181/100000000000000000000000000 526433790741033371885867/10000000000000000000000000 -8074044158623200676203223/100000000000000000000000000 -48279493182527776578813/50000000000000000000000000 548434065184201991727243/10000000000000000000000000


--- 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 :
7440129960518417605979999/125000000000000000000000000 821056626751823/40000000000000000000000000 -12730270917506347831332287/1000000000000000000000000000 397821004185110635277327/31250000000000000000000000 12730270711974282567995941/1000000000000000000000000000 75475991508584125138959521/1000000000000000000000000000 729601625404501/40000000000000000000000000
821056626751823/40000000000000000000000000 6897211914372278381823213/250000000000000000000000000 41682299199964561441538071/500000000000000000000000000 -83364598771779173753977351/1000000000000000000000000000 16672919745013688529014909/200000000000000000000000000 28969128543584051/1000000000000000000000000000 14303183759433389062838369/200000000000000000000000000
-12730270917506347831332287/1000000000000000000000000000 41682299199964561441538071/500000000000000000000000000 1133218030430625883276561813/1000000000000000000000000000 65633256770953280851052201/500000000000000000000000000 -73817390216608948618830589/500000000000000000000000000 -8071346073072988903129361/500000000000000000000000000 216098038967870398924704667/1000000000000000000000000000
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729601625404501/40000000000000000000000000 14303183759433389062838369/200000000000000000000000000 216098038967870398924704667/1000000000000000000000000000 -216098038172788688521938879/1000000000000000000000000000 108049019003202284629126427/500000000000000000000000000 3843967323916553/125000000000000000000000000 185383844403324174406299941/1000000000000000000000000000


--- 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 :
1448196980557554007372980121/1000000000000000000000000000 365442908625516938267433043/1000000000000000000000000000 105006195434506826746765517/500000000000000000000000000 27140014803227904620744153/100000000000000000000000000 -159098255176642625897247687/62500000000000000000000000 194361096019743598354936033/1000000000000000000000000000 -155570722649019699540864551/125000000000000000000000000 10089803966843027514920463/200000000000000000000000000 -209757162245498522228687589/500000000000000000000000000 77458511744148253171063609/500000000000000000000000000 -373629680727977692536476057/250000000000000000000000000 78692772856836108557324623/200000000000000000000000000
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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 :
1532455493198310702455891749/500000000000000000000000000 92357770357634778155418039/250000000000000000000000000 78796872768400585012362959/31250000000000000000000000 184427221002096404593209809/250000000000000000000000000
92357770357634778155418039/250000000000000000000000000 155520092562833679590414341/500000000000000000000000000 20578680889437698931902023/31250000000000000000000000 310554687903543508734458941/500000000000000000000000000
78796872768400585012362959/31250000000000000000000000 20578680889437698931902023/31250000000000000000000000 552585736645579417880001563/125000000000000000000000000 328744959386264934060894003/250000000000000000000000000
184427221002096404593209809/250000000000000000000000000 310554687903543508734458941/500000000000000000000000000 328744959386264934060894003/250000000000000000000000000 19379371780350029653951531/15625000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 78567/62500000 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 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 :
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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 :
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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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