#Density : 8507019063082144131562492027/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 10, 12, 13, 14}
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 :
2466269160647535837615679/62500000000000000000000000 1225174889958078110924873/62500000000000000000000000 -4634652286101562859245349/62500000000000000000000000 473092606964339917021649/62500000000000000000000000 -31572084087688364462907/6250000000000000000000000 -1348359782950269996292141/62500000000000000000000000
1225174889958078110924873/62500000000000000000000000 608633289072826480013551/62500000000000000000000000 -2302368166144352032890163/62500000000000000000000000 235019434182655047188263/62500000000000000000000000 -15684145617635965779309/6250000000000000000000000 -669828165984225901119467/62500000000000000000000000
-4634652286101562859245349/62500000000000000000000000 -2302368166144352032890163/62500000000000000000000000 8709512390540017728854119/62500000000000000000000000 -889043161789096388129419/62500000000000000000000000 59330763255206442457017/6250000000000000000000000 2533859178978303938091071/62500000000000000000000000
473092606964339917021649/62500000000000000000000000 235019434182655047188263/62500000000000000000000000 -889043161789096388129419/62500000000000000000000000 90751090081972570514719/62500000000000000000000000 -6056321753794365424917/6250000000000000000000000 -258649402514659026368771/62500000000000000000000000
-31572084087688364462907/6250000000000000000000000 -15684145617635965779309/6250000000000000000000000 59330763255206442457017/6250000000000000000000000 -6056321753794365424917/6250000000000000000000000 404171819339600827431/625000000000000000000000 17261103989390181885153/6250000000000000000000000
-1348359782950269996292141/62500000000000000000000000 -669828165984225901119467/62500000000000000000000000 2533859178978303938091071/62500000000000000000000000 -258649402514659026368771/62500000000000000000000000 17261103989390181885153/6250000000000000000000000 737175865995239312455639/62500000000000000000000000


--- 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 :
4122757315650625310533313/62500000000000000000000000 -1313143368194006207687501/31250000000000000000000000 1878194204235352260559193/62500000000000000000000000 -13298583964554349502265227/125000000000000000000000000 781680147124927953661683/7812500000000000000000000 42711063025481298035741/12500000000000000000000000
-1313143368194006207687501/31250000000000000000000000 418250547730766675382377/15625000000000000000000000 -598225428916096911104261/31250000000000000000000000 4235744673384883988392079/62500000000000000000000000 -248973689853006937547991/3906250000000000000000000 -13603941456247449348857/6250000000000000000000000
1878194204235352260559193/62500000000000000000000000 -598225428916096911104261/31250000000000000000000000 855644220296911736333873/62500000000000000000000000 -6058402523948083141769747/125000000000000000000000000 356108063000109968168763/7812500000000000000000000 19457771799146053954901/12500000000000000000000000
-13298583964554349502265227/125000000000000000000000000 4235744673384883988392079/62500000000000000000000000 -6058402523948083141769747/125000000000000000000000000 42896615522563800557749433/250000000000000000000000000 -2521428809429095922321457/15625000000000000000000000 -137771062997943750983039/25000000000000000000000000
781680147124927953661683/7812500000000000000000000 -248973689853006937547991/3906250000000000000000000 356108063000109968168763/7812500000000000000000000 -2521428809429095922321457/15625000000000000000000000 148207572172562239141353/976562500000000000000000 8098073079121194933831/1562500000000000000000000
42711063025481298035741/12500000000000000000000000 -13603941456247449348857/6250000000000000000000000 19457771799146053954901/12500000000000000000000000 -137771062997943750983039/25000000000000000000000000 8098073079121194933831/1562500000000000000000000 442479332421910310537/2500000000000000000000000


--- 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 :
382364599791287998981277691/1000000000000000000000000000 -260287501322461205423115777/500000000000000000000000000 -1497818404433453485807869/8000000000000000000000000 354444814044034506629667927/1000000000000000000000000000 -50688451232156178723185757/100000000000000000000000000 -205063030135256471693641581/500000000000000000000000000 581724004874997050690105889/500000000000000000000000000 -254834800925143848559118613/200000000000000000000000000 -991281445477890785081371371/1000000000000000000000000000 194134361227214378988127713/500000000000000000000000000 -22586214466395284932710291/40000000000000000000000000 980422932601074851135311833/1000000000000000000000000000
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--- Term 9 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {3, 5}
F2 : {3, 4, 5}
F3 : {3, 6}
F4 : {3, 4, 6}
F5 : {3, 5, 7}
F6 : {3, 4, 5, 7}
F7 : {3, 6, 7}
F8 : {3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
1002380501220656493792258147/1000000000000000000000000000 -1045188822057044591277303573/1000000000000000000000000000 455283153650899538592099981/1000000000000000000000000000 1164823022452077235441615353/1000000000000000000000000000
-1045188822057044591277303573/1000000000000000000000000000 2316243019346719341531930791/1000000000000000000000000000 293362022505782726460276333/1000000000000000000000000000 207168711618192527500571681/1000000000000000000000000000
455283153650899538592099981/1000000000000000000000000000 293362022505782726460276333/1000000000000000000000000000 687834107358646448006894379/1000000000000000000000000000 1419479777680224193289119623/1000000000000000000000000000
1164823022452077235441615353/1000000000000000000000000000 207168711618192527500571681/1000000000000000000000000000 1419479777680224193289119623/1000000000000000000000000000 4047736471342341785145981179/1000000000000000000000000000


--- 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 :
2619344494394237068113538883/1000000000000000000000000000 622155395755271972995988111/200000000000000000000000000 520486675713306032227087347/500000000000000000000000000 896499174603207706834716179/1000000000000000000000000000 -570250053326366835977961333/500000000000000000000000000 -1604959412713347317668772123/1000000000000000000000000000 608745491257324743568958561/500000000000000000000000000 -270422987503829536051307483/125000000000000000000000000 -999589163314562963286225989/250000000000000000000000000 87418750434756349028934667/200000000000000000000000000
622155395755271972995988111/200000000000000000000000000 4953594815649625508842797909/1000000000000000000000000000 144925006114697485657070499/125000000000000000000000000 -322828556335677315321235991/1000000000000000000000000000 -907098367371537355078007777/500000000000000000000000000 -121310692604949753920442169/125000000000000000000000000 1619078455797266667871482263/1000000000000000000000000000 -2544049517769909129957848611/1000000000000000000000000000 -47682501667941743574163783/8000000000000000000000000 192663353098555627746669183/200000000000000000000000000
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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 :
826085581156945770290933869/250000000000000000000000000 991459633352336874550467357/500000000000000000000000000 37747528354610146716155107/25000000000000000000000000 -25646127324810676730486467/20000000000000000000000000 322103865426257161801008453/500000000000000000000000000 -1474012165294576146921692391/500000000000000000000000000
991459633352336874550467357/500000000000000000000000000 1714774113754659165991625087/500000000000000000000000000 204163913313881590772257231/125000000000000000000000000 -772068136649244891958081047/250000000000000000000000000 121704336861978904429483509/500000000000000000000000000 6292890056812991661784363/100000000000000000000000000
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--- 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 :
42726220359995867258198717/62500000000000000000000000 5052360200288806677798989/125000000000000000000000000 59812920607146957727768949/62500000000000000000000000 -496927818029636476324889/625000000000000000000000 -2168848869847859798789333/31250000000000000000000000 26119836906987393064408291/62500000000000000000000000 -6424395888412199659391091/31250000000000000000000000 -71606789008422883958703739/125000000000000000000000000 -108828682665197011706871177/125000000000000000000000000
5052360200288806677798989/125000000000000000000000000 19848125329151491640471813/250000000000000000000000000 -1580162100187191968466517/125000000000000000000000000 -53694149507530682231179/2500000000000000000000000 -2021565699265490980430443/31250000000000000000000000 -4281443760849159975042053/125000000000000000000000000 -83654547957776121474447/62500000000000000000000000 18227567765142161258115137/250000000000000000000000000 -92353750652373072190368909/250000000000000000000000000
59812920607146957727768949/62500000000000000000000000 -1580162100187191968466517/125000000000000000000000000 175244487803347084731958831/125000000000000000000000000 -5680001338404303523784839/5000000000000000000000000 -5336489027938841002321979/125000000000000000000000000 39878255197563604965616177/62500000000000000000000000 -1162181683926913486341519/3906250000000000000000000 -56121175287885333415626179/62500000000000000000000000 -29155692699312508093336611/31250000000000000000000000
-496927818029636476324889/625000000000000000000000 -53694149507530682231179/2500000000000000000000000 -5680001338404303523784839/5000000000000000000000000 4665947084787836412786517/5000000000000000000000000 60630897657902531276449/1000000000000000000000000 -632010989429505693944471/1250000000000000000000000 303359024889221812607763/1250000000000000000000000 701663678933301371232641/1000000000000000000000000 907168491672558460188177/1000000000000000000000000
-2168848869847859798789333/31250000000000000000000000 -2021565699265490980430443/31250000000000000000000000 -5336489027938841002321979/125000000000000000000000000 60630897657902531276449/1000000000000000000000000 6839538268322372774914261/125000000000000000000000000 30959467117197984655229/7812500000000000000000000 386271167765903149997493/31250000000000000000000000 -3232243619658112142725753/125000000000000000000000000 42318405286910446632056571/125000000000000000000000000
26119836906987393064408291/62500000000000000000000000 -4281443760849159975042053/125000000000000000000000000 39878255197563604965616177/62500000000000000000000000 -632010989429505693944471/1250000000000000000000000 30959467117197984655229/7812500000000000000000000 18789487175881342351267493/62500000000000000000000000 -4186245041833989390171993/31250000000000000000000000 -53995576518299360235467897/125000000000000000000000000 -36099608030519723500965771/125000000000000000000000000
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--- 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 :
3022402182920974422604947/50000000000000000000000000 -1556677121217201/5000000000000000000000000 -1091986716132857762347359/15625000000000000000000000 1091986716132857762347359/15625000000000000000000000 34943575257149069539222467/500000000000000000000000000 -39987773225586515156652759/500000000000000000000000000 1013384781854607/7812500000000000000000000
-1556677121217201/5000000000000000000000000 17510467067258900414830207/12500000000000000000000000 -17850649228554777149740411/15625000000000000000000000 17850649228554777149740411/15625000000000000000000000 -285610387395522653129974061/250000000000000000000000000 147182623595925577/250000000000000000000000000 -4926743662522067331439127/7812500000000000000000000
-1091986716132857762347359/15625000000000000000000000 -17850649228554777149740411/15625000000000000000000000 15820455240352075700831627/15625000000000000000000000 -15820455240352075700831627/15625000000000000000000000 664772455673735606139527/781250000000000000000000 1444748728303679438612203/15625000000000000000000000 4017965831428538131132051/7812500000000000000000000
1091986716132857762347359/15625000000000000000000000 17850649228554777149740411/15625000000000000000000000 -15820455240352075700831627/15625000000000000000000000 15820455240352075700831627/15625000000000000000000000 -664772455673735606139527/781250000000000000000000 -1444748728303679438612203/15625000000000000000000000 -4017965831428538131132051/7812500000000000000000000
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1013384781854607/7812500000000000000000000 -4926743662522067331439127/7812500000000000000000000 4017965831428538131132051/7812500000000000000000000 -4017965831428538131132051/7812500000000000000000000 4017965827563172610004347/7812500000000000000000000 -61332136227659/244140625000000000000000 1108950573298489816815131/3906250000000000000000000


--- 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 :
805728580372982885346872777/250000000000000000000000000 196806769769128990349747973/50000000000000000000000000 2992736189793513803502121/12500000000000000000000000 19277558669702540906522103/31250000000000000000000000 -122283026065385301892402133/250000000000000000000000000 -104923755247119937762044743/125000000000000000000000000 -281955956396479585622949859/250000000000000000000000000 -30246353745704616099860461/25000000000000000000000000 -356475973456866871384871999/125000000000000000000000000 5926941108543485797605997/10000000000000000000000000 5505835030974840190218193/3125000000000000000000000 4857285733910929827845003/5000000000000000000000000
196806769769128990349747973/50000000000000000000000000 993186924403717660719735333/200000000000000000000000000 161596144316478462005524773/200000000000000000000000000 127023791542727745201992523/200000000000000000000000000 -50896113815926077600289377/50000000000000000000000000 -196797985587971264764618557/200000000000000000000000000 -286187819093679993842681997/200000000000000000000000000 -61340006394874754357932173/40000000000000000000000000 -684933982571453082012767391/200000000000000000000000000 5224398417443536230976869/10000000000000000000000000 398376660280693871917587063/200000000000000000000000000 132646808900168852886029217/100000000000000000000000000
2992736189793513803502121/12500000000000000000000000 161596144316478462005524773/200000000000000000000000000 407981108544245516083682521/200000000000000000000000000 -67664108999014806722629209/200000000000000000000000000 -35055267655610164719516419/25000000000000000000000000 14261746324845524925421543/200000000000000000000000000 -51528794156719681402984613/200000000000000000000000000 -10858402987458421046107153/40000000000000000000000000 -4542887780219686697936651/200000000000000000000000000 -1906686612066769986281329/3125000000000000000000000 -15535331959376811576856513/40000000000000000000000000 10539294137187451348079801/20000000000000000000000000
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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 :
37006248655088172470058993/31250000000000000000000000 -231688823096389914100881/12500000000000000000000000 -291538376190753872923143/15625000000000000000000000 -2796176845008889786219311/125000000000000000000000000
-231688823096389914100881/12500000000000000000000000 88512693552349794780266851/200000000000000000000000000 8910174457799821255965619/20000000000000000000000000 13352885855160862708032079/25000000000000000000000000
-291538376190753872923143/15625000000000000000000000 8910174457799821255965619/20000000000000000000000000 112118394664875579623932031/250000000000000000000000000 67208745836100650086003217/125000000000000000000000000
-2796176845008889786219311/125000000000000000000000000 13352885855160862708032079/25000000000000000000000000 67208745836100650086003217/125000000000000000000000000 322303260253630147363565737/500000000000000000000000000


--- Term 16 ---

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

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

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

Matrix :
389716331869244086675813677/500000000000000000000000000 -320757372778270034844404707/250000000000000000000000000 12108232625291423909545733/500000000000000000000000000 -27057069518592008366268303/500000000000000000000000000 245334157686439654044828913/500000000000000000000000000 144404452594705247704229293/500000000000000000000000000
-320757372778270034844404707/250000000000000000000000000 551120095864809325583136687/250000000000000000000000000 -6079525188417069261945259/250000000000000000000000000 2632848520282077291860647/25000000000000000000000000 -105046738402166259185849747/125000000000000000000000000 -137228028803964907547815247/250000000000000000000000000
12108232625291423909545733/500000000000000000000000000 -6079525188417069261945259/250000000000000000000000000 1682689163909133115369501/500000000000000000000000000 104793337891645753471637/100000000000000000000000000 4875595775979188839259241/500000000000000000000000000 -1691058095781050497809787/500000000000000000000000000
-27057069518592008366268303/500000000000000000000000000 2632848520282077291860647/25000000000000000000000000 104793337891645753471637/100000000000000000000000000 3303822881794578256622703/500000000000000000000000000 -796077030978888712997713/20000000000000000000000000 -16478069120932063502793319/500000000000000000000000000
245334157686439654044828913/500000000000000000000000000 -105046738402166259185849747/125000000000000000000000000 4875595775979188839259241/500000000000000000000000000 -796077030978888712997713/20000000000000000000000000 160217546523105934067368031/500000000000000000000000000 103893289148247633649981113/500000000000000000000000000
144404452594705247704229293/500000000000000000000000000 -137228028803964907547815247/250000000000000000000000000 -1691058095781050497809787/500000000000000000000000000 -16478069120932063502793319/500000000000000000000000000 103893289148247633649981113/500000000000000000000000000 82717373861355332780614861/500000000000000000000000000


--- 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 :
20405251449778897897272207/500000000000000000000000000 -20405251449778897897272207/500000000000000000000000000 -4434168742052241/200000000000000000000000000 20538045204233474589018063/500000000000000000000000000 -5134511051121231604638069/125000000000000000000000000 256725551682130926246213/6250000000000000000000000 0/1 13554114092479894291237797/250000000000000000000000000 -13554114092479894291237797/250000000000000000000000000 24263637485284797/1000000000000000000000000000
-20405251449778897897272207/500000000000000000000000000 20405251449778897897272207/500000000000000000000000000 4434168742052241/200000000000000000000000000 -20538045204233474589018063/500000000000000000000000000 5134511051121231604638069/125000000000000000000000000 -256725551682130926246213/6250000000000000000000000 0/1 -13554114092479894291237797/250000000000000000000000000 13554114092479894291237797/250000000000000000000000000 -24263637485284797/1000000000000000000000000000
-4434168742052241/200000000000000000000000000 4434168742052241/200000000000000000000000000 40810502980805419484045159/1000000000000000000000000000 41076087969501515049036487/1000000000000000000000000000 -5134511334296927542245151/125000000000000000000000000 -41076088161340011831973407/1000000000000000000000000000 0/1 -52554217372537957/500000000000000000000000000 52554217372537957/500000000000000000000000000 27108228229222399308837031/500000000000000000000000000
20538045204233474589018063/500000000000000000000000000 -20538045204233474589018063/500000000000000000000000000 41076087969501515049036487/1000000000000000000000000000 476227276360629054655520351/500000000000000000000000000 98385116991614377757559619/125000000000000000000000000 -21744193604936719452243833/25000000000000000000000000 0/1 13642321588947160299669089/250000000000000000000000000 -13642321588947160299669089/250000000000000000000000000 54569286057035235423998873/1000000000000000000000000000
-5134511051121231604638069/125000000000000000000000000 5134511051121231604638069/125000000000000000000000000 -5134511334296927542245151/125000000000000000000000000 98385116991614377757559619/125000000000000000000000000 11905681908826511240894047/12500000000000000000000000 -6795060500283158902437963/7812500000000000000000000 0/1 -6821160715556324693243513/125000000000000000000000000 6821160715556324693243513/125000000000000000000000000 -6821160751747877190368389/125000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
13554114092479894291237797/250000000000000000000000000 -13554114092479894291237797/250000000000000000000000000 -52554217372537957/500000000000000000000000000 13642321588947160299669089/250000000000000000000000000 -6821160715556324693243513/125000000000000000000000000 2728464284549143367558511/50000000000000000000000000 0/1 18006542020235944108503317/250000000000000000000000000 -18006542020235944108503317/250000000000000000000000000 -34136281039793053/500000000000000000000000000
-13554114092479894291237797/250000000000000000000000000 13554114092479894291237797/250000000000000000000000000 52554217372537957/500000000000000000000000000 -13642321588947160299669089/250000000000000000000000000 6821160715556324693243513/125000000000000000000000000 -2728464284549143367558511/50000000000000000000000000 0/1 -18006542020235944108503317/250000000000000000000000000 18006542020235944108503317/250000000000000000000000000 34136281039793053/500000000000000000000000000
24263637485284797/1000000000000000000000000000 -24263637485284797/1000000000000000000000000000 27108228229222399308837031/500000000000000000000000000 54569286057035235423998873/1000000000000000000000000000 -6821160751747877190368389/125000000000000000000000000 -54569286203757238602231319/1000000000000000000000000000 0/1 -34136281039793053/500000000000000000000000000 34136281039793053/500000000000000000000000000 2881046726910425934022111/40000000000000000000000000


--- 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 :
11126544354982299817001087/100000000000000000000000000 37077234236293133098591607/200000000000000000000000000 -17893891985368041838908399/100000000000000000000000000 3717473991197450318396907/20000000000000000000000000 -61268339599050424815100807/200000000000000000000000000 -52246967575596142023352177/100000000000000000000000000
37077234236293133098591607/200000000000000000000000000 529967338101997679729307639/1000000000000000000000000000 -97445054808334192578485483/200000000000000000000000000 329995961405315747995038111/500000000000000000000000000 -782872264940500245261703869/1000000000000000000000000000 -1357793608684404786194462219/1000000000000000000000000000
-17893891985368041838908399/100000000000000000000000000 -97445054808334192578485483/200000000000000000000000000 44948848860769315378706383/100000000000000000000000000 -59851930990572295946148171/100000000000000000000000000 145137122475504131335103563/200000000000000000000000000 125699062725673029991879401/100000000000000000000000000
3717473991197450318396907/20000000000000000000000000 329995961405315747995038111/500000000000000000000000000 -59851930990572295946148171/100000000000000000000000000 216384145732885008543326919/250000000000000000000000000 -471726007823078850657395781/500000000000000000000000000 -822435010585174193210286411/500000000000000000000000000
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-52246967575596142023352177/100000000000000000000000000 -1357793608684404786194462219/1000000000000000000000000000 125699062725673029991879401/100000000000000000000000000 -822435010585174193210286411/500000000000000000000000000 2038993572451150172679439699/1000000000000000000000000000 1763664720734575202742069127/500000000000000000000000000


--- 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 :
440557587845331987580817/1600000000000000000000000 -440557587845331987580817/1600000000000000000000000 -94518656675890243/40000000000000000000000000 -4260566179616295079430539/20000000000000000000000000 4260566179616295079430539/20000000000000000000000000 -1704226493941586858800183/8000000000000000000000000 0/1 2174012167576032598135779/40000000000000000000000000 -2174012167576032598135779/40000000000000000000000000 -2947438956892861/8000000000000000000000000
-440557587845331987580817/1600000000000000000000000 440557587845331987580817/1600000000000000000000000 94518656675890243/40000000000000000000000000 4260566179616295079430539/20000000000000000000000000 -4260566179616295079430539/20000000000000000000000000 1704226493941586858800183/8000000000000000000000000 0/1 -2174012167576032598135779/40000000000000000000000000 2174012167576032598135779/40000000000000000000000000 2947438956892861/8000000000000000000000000
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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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-2174012167576032598135779/40000000000000000000000000 2174012167576032598135779/40000000000000000000000000 574149335535086931/1000000000000000000000000000 21024544696165809117651663/500000000000000000000000000 -21024544696165809117651663/500000000000000000000000000 8409818020837298059540089/200000000000000000000000000 0/1 -10728061518322838679428763/1000000000000000000000000000 10728061518322838679428763/1000000000000000000000000000 751902934872519/8000000000000000000000000
-2947438956892861/8000000000000000000000000 2947438956892861/8000000000000000000000000 10870060738468101976187567/200000000000000000000000000 -4204908908059754694555289/100000000000000000000000000 4204908908059754694555289/100000000000000000000000000 8409817942826741870309863/200000000000000000000000000 0/1 -751902934872519/8000000000000000000000000 751902934872519/8000000000000000000000000 2145612286873374186862333/200000000000000000000000000

