#Density : 19695246808572560648614126897/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 10, 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 :
63162532431452099715142689/125000000000000000000000000 -7073812791276174143273997/250000000000000000000000000 -4528155801137828447178591/15625000000000000000000000 1338702458904873553609041/31250000000000000000000000 -116042951927307776071026711/250000000000000000000000000 80493324346007031741331203/250000000000000000000000000
-7073812791276174143273997/250000000000000000000000000 792223260844198404223881/500000000000000000000000000 507125430123349886083443/31250000000000000000000000 -149926391691012401191293/62500000000000000000000000 12996092558063449532512203/500000000000000000000000000 -9014754245154259780315719/500000000000000000000000000
-4528155801137828447178591/15625000000000000000000000 507125430123349886083443/31250000000000000000000000 324625916189009582525729/1953125000000000000000000 -95972296738834498079279/3906250000000000000000000 8319181415359798540540009/31250000000000000000000000 -5770609561701847700415357/31250000000000000000000000
1338702458904873553609041/31250000000000000000000000 -149926391691012401191293/62500000000000000000000000 -95972296738834498079279/3906250000000000000000000 28373217546697943955329/7812500000000000000000000 -2459479997136896704179559/62500000000000000000000000 1706021071026107108367507/62500000000000000000000000
-116042951927307776071026711/250000000000000000000000000 12996092558063449532512203/500000000000000000000000000 8319181415359798540540009/31250000000000000000000000 -2459479997136896704179559/62500000000000000000000000 213195484310537521602043889/500000000000000000000000000 -147883287892073920406802597/500000000000000000000000000
80493324346007031741331203/250000000000000000000000000 -9014754245154259780315719/500000000000000000000000000 -5770609561701847700415357/31250000000000000000000000 1706021071026107108367507/62500000000000000000000000 -147883287892073920406802597/500000000000000000000000000 102579409261385956326504681/500000000000000000000000000


--- 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 :
25583625694127848226562981/125000000000000000000000000 -30593962748006074058166621/250000000000000000000000000 66393619237326568804468677/250000000000000000000000000 -122571462154421849036603967/250000000000000000000000000 8555597337248002686849597/50000000000000000000000000 542165778554600912478111/5000000000000000000000000
-30593962748006074058166621/250000000000000000000000000 36585532004606335651851861/500000000000000000000000000 -79396248910813892952850557/500000000000000000000000000 146576047975159954718793447/500000000000000000000000000 -10231138828879291892276277/100000000000000000000000000 -648344368020923135898951/10000000000000000000000000
66393619237326568804468677/250000000000000000000000000 -79396248910813892952850557/500000000000000000000000000 172302109487275869959233509/500000000000000000000000000 -318092638038827944752353439/500000000000000000000000000 22203149731334180053069149/100000000000000000000000000 1407007305970906542565887/10000000000000000000000000
-122571462154421849036603967/250000000000000000000000000 146576047975159954718793447/500000000000000000000000000 -318092638038827944752353439/500000000000000000000000000 587241367361047580638679469/500000000000000000000000000 -40989970998194569318911879/100000000000000000000000000 -2597522845355768750972877/10000000000000000000000000
8555597337248002686849597/50000000000000000000000000 -10231138828879291892276277/100000000000000000000000000 22203149731334180053069149/100000000000000000000000000 -40989970998194569318911879/100000000000000000000000000 2861136520377021530439189/20000000000000000000000000 181309410433307356498407/2000000000000000000000000
542165778554600912478111/5000000000000000000000000 -648344368020923135898951/10000000000000000000000000 1407007305970906542565887/10000000000000000000000000 -2597522845355768750972877/10000000000000000000000000 181309410433307356498407/2000000000000000000000000 11489525955001162908141/200000000000000000000000


--- 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 :
141281270452584266436264473/200000000000000000000000000 992730909951559523685588949/1000000000000000000000000000 151903457586957581673921069/1000000000000000000000000000 23203284646869165025949873/200000000000000000000000000 7121837900213893525502211/200000000000000000000000000 -827142315187925219739071723/1000000000000000000000000000 -1872824993189534377821320663/1000000000000000000000000000 382871572450732496866449763/250000000000000000000000000 -276652190937787206752796737/1000000000000000000000000000 217935725116990558431550551/1000000000000000000000000000 84782341618640130362417413/1000000000000000000000000000 -1063972705214111452186796323/500000000000000000000000000
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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 :
904878644162647421659717851/500000000000000000000000000 -95252392546088249820810799/50000000000000000000000000 723545390290468572690656153/500000000000000000000000000 -92921756603973199486804861/250000000000000000000000000
-95252392546088249820810799/50000000000000000000000000 1002677917728631695211483597/500000000000000000000000000 -761576422470199667896296421/500000000000000000000000000 195661589168814497825899787/500000000000000000000000000
723545390290468572690656153/500000000000000000000000000 -761576422470199667896296421/500000000000000000000000000 490623561328684420838219033/200000000000000000000000000 341608154468516053373527091/1000000000000000000000000000
-92921756603973199486804861/250000000000000000000000000 195661589168814497825899787/500000000000000000000000000 341608154468516053373527091/1000000000000000000000000000 2789844911308841411061199127/1000000000000000000000000000


--- 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 :
909788117647952335372021251/200000000000000000000000000 4960729977042638334426821067/1000000000000000000000000000 556069179061476948891634123/1000000000000000000000000000 -895742176008557628879200339/500000000000000000000000000 -43528867548719669199048401/200000000000000000000000000 -1183488708054557511522192843/250000000000000000000000000 126239410857594875508545489/125000000000000000000000000 -1737953236836915039856301837/500000000000000000000000000 28668491711504054453296999/125000000000000000000000000 94008938836644477569050219/125000000000000000000000000
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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 :
1927327893166618937404136937/250000000000000000000000000 161963157406319591616848403/125000000000000000000000000 43945365999159324301281813/31250000000000000000000000 1460048415696569667849550893/250000000000000000000000000 79539695127151797235024347/250000000000000000000000000 61346029486630208935211391/250000000000000000000000000
161963157406319591616848403/125000000000000000000000000 108269454193287942314770447/100000000000000000000000000 -657678223775962366300853/250000000000000000000000000 98158873770779776360093139/100000000000000000000000000 -11874544946898334604395801/250000000000000000000000000 -59705862434868452626498163/50000000000000000000000000
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1460048415696569667849550893/250000000000000000000000000 98158873770779776360093139/100000000000000000000000000 266324883819725748254048981/250000000000000000000000000 2212121128039910168627231201/500000000000000000000000000 15063643231584090656399977/62500000000000000000000000 2903955239984193267955507/15625000000000000000000000
79539695127151797235024347/250000000000000000000000000 -11874544946898334604395801/250000000000000000000000000 10741702668533868698746117/125000000000000000000000000 15063643231584090656399977/62500000000000000000000000 6229395186479332145451511/250000000000000000000000000 38585601599357717991023623/250000000000000000000000000
61346029486630208935211391/250000000000000000000000000 -59705862434868452626498163/50000000000000000000000000 12065353156622614886129719/31250000000000000000000000 2903955239984193267955507/15625000000000000000000000 38585601599357717991023623/250000000000000000000000000 443063579784490028365537693/250000000000000000000000000


--- 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 :
337898048774902664789345121/1000000000000000000000000000 -338138395316687934449859543/1000000000000000000000000000 11605727479852199282137461/40000000000000000000000000 110546869159027849913290233/250000000000000000000000000 -163913863085338872755890311/1000000000000000000000000000 132925038987449667806816463/500000000000000000000000000 -92392355322142050835215039/500000000000000000000000000 -51913442162472829864222539/100000000000000000000000000 -74983614281556822440253699/100000000000000000000000000
-338138395316687934449859543/1000000000000000000000000000 338378912816726315008395569/1000000000000000000000000000 -11613982622120105538953763/40000000000000000000000000 -110625501035725252362547839/250000000000000000000000000 164030454851068392742765313/1000000000000000000000000000 -133019588433808230530359929/500000000000000000000000000 92458073911431288712553737/500000000000000000000000000 51950368141599249428926237/100000000000000000000000000 75036950050876811852932517/100000000000000000000000000
11605727479852199282137461/40000000000000000000000000 -11613982622120105538953763/40000000000000000000000000 398619970801680402373401/1600000000000000000000000 3796934731828638025987053/10000000000000000000000000 -5629921901104343965615251/40000000000000000000000000 4565553969104934372687483/20000000000000000000000000 -3173384696887590002829099/20000000000000000000000000 -1783062271188465098386599/4000000000000000000000000 -2575449594814999006164159/4000000000000000000000000
110546869159027849913290233/250000000000000000000000000 -110625501035725252362547839/250000000000000000000000000 3796934731828638025987053/10000000000000000000000000 36166560668730642001984209/62500000000000000000000000 -53626129069235496401885103/250000000000000000000000000 43487812214900550860130999/125000000000000000000000000 -30227122210744970501745447/125000000000000000000000000 -16984023788053011882292947/25000000000000000000000000 -24531671097563182191111627/25000000000000000000000000
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-74983614281556822440253699/100000000000000000000000000 75036950050876811852932517/100000000000000000000000000 -2575449594814999006164159/4000000000000000000000000 -24531671097563182191111627/25000000000000000000000000 36374444686949808659408309/100000000000000000000000000 -29497654360341310306841997/50000000000000000000000000 20502967564205162184533341/50000000000000000000000000 11520213085728532998675841/10000000000000000000000000 16639759924955523737811881/10000000000000000000000000


--- 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 :
654409889108441213154663633/1000000000000000000000000000 90753001235129649/125000000000000000000000000 231097405689764758615167879/1000000000000000000000000000 -231097405689764758615167879/1000000000000000000000000000 -231097406320079617017530103/1000000000000000000000000000 -232661032136291017614787029/500000000000000000000000000 -252509503188329049/1000000000000000000000000000
90753001235129649/125000000000000000000000000 28392977947660365102313967/1000000000000000000000000000 -2979613921123587979113/100000000000000000000000000 2979613921123587979113/100000000000000000000000000 -29796691296362399910123/1000000000000000000000000000 -130099510455552031/250000000000000000000000000 -98315798937608916519877429/1000000000000000000000000000
231097405689764758615167879/1000000000000000000000000000 -2979613921123587979113/100000000000000000000000000 81609450389206626016213341/1000000000000000000000000000 -81609450389206626016213341/1000000000000000000000000000 -3264375522935607827812863/40000000000000000000000000 -82161596006824266548985903/500000000000000000000000000 20635059219833371351371/200000000000000000000000000
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-232661032136291017614787029/500000000000000000000000000 -130099510455552031/250000000000000000000000000 -82161596006824266548985903/500000000000000000000000000 82161596006824266548985903/500000000000000000000000000 82161596230923200536386513/500000000000000000000000000 82717508973575817430261061/250000000000000000000000000 96966751761647359/500000000000000000000000000
-252509503188329049/1000000000000000000000000000 -98315798937608916519877429/1000000000000000000000000000 20635059219833371351371/200000000000000000000000000 -20635059219833371351371/200000000000000000000000000 12896951320240070509797/125000000000000000000000000 96966751761647359/500000000000000000000000000 42554519723849709358069681/125000000000000000000000000


--- 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 :
154854064034689294554422959/500000000000000000000000000 17333025953649557451327159/100000000000000000000000000 32895426988668061321662963/500000000000000000000000000 -12059475060757790016657013/500000000000000000000000000 -593066631209421700045114421/500000000000000000000000000 -144049718638869817187151661/500000000000000000000000000 -34830783499891560768348907/250000000000000000000000000 63833512130877881183710791/500000000000000000000000000 19922607490847223283001203/62500000000000000000000000 19448666388891685962023229/100000000000000000000000000 -351584492210774502635183/10000000000000000000000000 -186330951577578557131660081/500000000000000000000000000
17333025953649557451327159/100000000000000000000000000 27204997560218590456053609/250000000000000000000000000 -18703956052662629983659801/500000000000000000000000000 -8884338624508935956803437/500000000000000000000000000 -174093229160961752079073449/250000000000000000000000000 -40255733077158767715269007/250000000000000000000000000 -1762253071784929787116419/12500000000000000000000000 9634686610108101270748461/125000000000000000000000000 47598983347597849758679251/250000000000000000000000000 24602382711885622114117503/125000000000000000000000000 3592946740577369250330999/250000000000000000000000000 -80622071629686037324984329/500000000000000000000000000
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19922607490847223283001203/62500000000000000000000000 47598983347597849758679251/250000000000000000000000000 -3835820663327991963029187/500000000000000000000000000 -14580473175546557194053461/500000000000000000000000000 -626929989939612185769330061/500000000000000000000000000 -37038017232454197139756691/125000000000000000000000000 -51846392129389308242158793/250000000000000000000000000 68557302929478237303957621/500000000000000000000000000 85066463122994854168406159/250000000000000000000000000 72379293173802433756731573/250000000000000000000000000 -401703820135537493493037/250000000000000000000000000 -16774964137459154684330621/50000000000000000000000000
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-186330951577578557131660081/500000000000000000000000000 -80622071629686037324984329/500000000000000000000000000 -94114240476939035508139053/250000000000000000000000000 744895316159759889171851/62500000000000000000000000 324222037774534704950594281/250000000000000000000000000 173758728290009863663427737/500000000000000000000000000 -330890527469690114062331/3906250000000000000000000 -8192358654435682621304361/62500000000000000000000000 -16774964137459154684330621/50000000000000000000000000 11832398555374431136229157/100000000000000000000000000 22334149143445068411951481/125000000000000000000000000 63792896416019765796027869/100000000000000000000000000


--- 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 :
162794106685114108253245067/125000000000000000000000000 -1963509786698710353682093/31250000000000000000000000 174264581965309971281178177/250000000000000000000000000 -167867964980380334684773/15625000000000000000000000
-1963509786698710353682093/31250000000000000000000000 121776379215566539003811993/125000000000000000000000000 7600013419733394778134159/5000000000000000000000000 112918536425308210459089721/125000000000000000000000000
174264581965309971281178177/250000000000000000000000000 7600013419733394778134159/5000000000000000000000000 4145452615123759647770861301/500000000000000000000000000 11020045372505423744906787/6250000000000000000000000
-167867964980380334684773/15625000000000000000000000 112918536425308210459089721/125000000000000000000000000 11020045372505423744906787/6250000000000000000000000 107347851635624887896055271/125000000000000000000000000


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


--- Term 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 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 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 :
979626683353951811657/2000000000000000000000000 111226651077309154320359/20000000000000000000000000 -389324359903887729040249/20000000000000000000000000 453608034845644752607967/20000000000000000000000000 30626870688279574643363/5000000000000000000000000 -49266666163664599694813/5000000000000000000000000
111226651077309154320359/20000000000000000000000000 12628655507338342032230633/200000000000000000000000000 -44203823222402393147035063/200000000000000000000000000 51502581008617738398345329/200000000000000000000000000 3477369815991749752598381/50000000000000000000000000 -5593729101342051806144531/50000000000000000000000000
-389324359903887729040249/20000000000000000000000000 -44203823222402393147035063/200000000000000000000000000 154725733578049598247034793/200000000000000000000000000 -180273425391918339805743919/200000000000000000000000000 -12171766070877193688083891/50000000000000000000000000 19579614964241438669646541/50000000000000000000000000
453608034845644752607967/20000000000000000000000000 51502581008617738398345329/200000000000000000000000000 -180273425391918339805743919/200000000000000000000000000 210039449489131382137771577/200000000000000000000000000 14181519207723135045573653/50000000000000000000000000 -22812522363503021695178603/50000000000000000000000000
30626870688279574643363/5000000000000000000000000 3477369815991749752598381/50000000000000000000000000 -12171766070877193688083891/50000000000000000000000000 14181519207723135045573653/50000000000000000000000000 957512922111458200018817/12500000000000000000000000 -1540264102107981454714367/12500000000000000000000000
-49266666163664599694813/5000000000000000000000000 -5593729101342051806144531/50000000000000000000000000 19579614964241438669646541/50000000000000000000000000 -22812522363503021695178603/50000000000000000000000000 -1540264102107981454714367/12500000000000000000000000 2477683015505401431692417/12500000000000000000000000


--- 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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-21862000193480327229838321/1000000000000000000000000000 21862000193480327229838321/1000000000000000000000000000 -50962081568044433/1000000000000000000000000000 34520617044982311370437669/1000000000000000000000000000 -34520617044982311370437669/1000000000000000000000000000 34520616828839697022087983/1000000000000000000000000000 0/1 -13420843829140786792291707/1000000000000000000000000000 13420843829140786792291707/1000000000000000000000000000 -2804012184003/976562500000000000000000
50962081568044433/1000000000000000000000000000 -50962081568044433/1000000000000000000000000000 21862000068609759860236999/1000000000000000000000000000 -34520616791375644517961117/1000000000000000000000000000 34520616791375644517961117/1000000000000000000000000000 34520616798495398083555911/1000000000000000000000000000 0/1 36996069679992831/1000000000000000000000000000 -36996069679992831/1000000000000000000000000000 3355210938933449821086879/250000000000000000000000000
-34520617044982311370437669/1000000000000000000000000000 34520617044982311370437669/1000000000000000000000000000 -34520616791375644517961117/1000000000000000000000000000 109017746088250059619613001/1000000000000000000000000000 -109017746088250059619613001/1000000000000000000000000000 137023538018758947/1000000000000000000000000000 0/1 -21191830863746596194789063/1000000000000000000000000000 21191830863746596194789063/1000000000000000000000000000 -1324489416206735097760383/62500000000000000000000000
34520617044982311370437669/1000000000000000000000000000 -34520617044982311370437669/1000000000000000000000000000 34520616791375644517961117/1000000000000000000000000000 -109017746088250059619613001/1000000000000000000000000000 109017746088250059619613001/1000000000000000000000000000 -137023538018758947/1000000000000000000000000000 0/1 21191830863746596194789063/1000000000000000000000000000 -21191830863746596194789063/1000000000000000000000000000 1324489416206735097760383/62500000000000000000000000
-34520616828839697022087983/1000000000000000000000000000 34520616828839697022087983/1000000000000000000000000000 34520616798495398083555911/1000000000000000000000000000 137023538018758947/1000000000000000000000000000 -137023538018758947/1000000000000000000000000000 109017745936404225519806919/1000000000000000000000000000 0/1 -21191830713023381291268801/1000000000000000000000000000 21191830713023381291268801/1000000000000000000000000000 5297957688352624471047231/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
13420843829140786792291707/1000000000000000000000000000 -13420843829140786792291707/1000000000000000000000000000 36996069679992831/1000000000000000000000000000 -21191830863746596194789063/1000000000000000000000000000 21191830863746596194789063/1000000000000000000000000000 -21191830713023381291268801/1000000000000000000000000000 0/1 8238909866074437813259329/1000000000000000000000000000 -8238909866074437813259329/1000000000000000000000000000 658573429278213/125000000000000000000000000
-13420843829140786792291707/1000000000000000000000000000 13420843829140786792291707/1000000000000000000000000000 -36996069679992831/1000000000000000000000000000 21191830863746596194789063/1000000000000000000000000000 -21191830863746596194789063/1000000000000000000000000000 21191830713023381291268801/1000000000000000000000000000 0/1 -8238909866074437813259329/1000000000000000000000000000 8238909866074437813259329/1000000000000000000000000000 -658573429278213/125000000000000000000000000
2804012184003/976562500000000000000000 -2804012184003/976562500000000000000000 3355210938933449821086879/250000000000000000000000000 -1324489416206735097760383/62500000000000000000000000 1324489416206735097760383/62500000000000000000000000 5297957688352624471047231/250000000000000000000000000 0/1 658573429278213/125000000000000000000000000 -658573429278213/125000000000000000000000000 1029863727875704918647843/125000000000000000000000000

