#Density : 1844518162377408712396036113/6400000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 11, 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 :
27312987213603284494054451/1000000000000000000000000000 40636243331042061573244143/1000000000000000000000000000 -5172649454274549538405183/200000000000000000000000000 133445596059730869576141/15625000000000000000000000 21334792953621489441179277/1000000000000000000000000000 -44361485851023031254150203/500000000000000000000000000
40636243331042061573244143/1000000000000000000000000000 30229287246127828103824477/500000000000000000000000000 -769586425117914206656783/20000000000000000000000000 12706576979098543001716997/1000000000000000000000000000 15870945008745977648480333/500000000000000000000000000 -132001975431740488378468413/1000000000000000000000000000
-5172649454274549538405183/200000000000000000000000000 -769586425117914206656783/20000000000000000000000000 12245228875716296877315977/500000000000000000000000000 -8087197904230297217997581/1000000000000000000000000000 -10101184114475271607089227/500000000000000000000000000 16802732984388925061269769/200000000000000000000000000
133445596059730869576141/15625000000000000000000000 12706576979098543001716997/1000000000000000000000000000 -8087197904230297217997581/1000000000000000000000000000 5063096154722538619466407/200000000000000000000000000 -19393886764098942734593901/1000000000000000000000000000 -27742851624212211902743209/1000000000000000000000000000
21334792953621489441179277/1000000000000000000000000000 15870945008745977648480333/500000000000000000000000000 -10101184114475271607089227/500000000000000000000000000 -19393886764098942734593901/1000000000000000000000000000 39706902196265798454627649/500000000000000000000000000 -69303522634817281881372867/1000000000000000000000000000
-44361485851023031254150203/500000000000000000000000000 -132001975431740488378468413/1000000000000000000000000000 16802732984388925061269769/200000000000000000000000000 -27742851624212211902743209/1000000000000000000000000000 -69303522634817281881372867/1000000000000000000000000000 288205960266459566188237991/1000000000000000000000000000


--- 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 :
2038689887102973333433893/500000000000000000000000000 1040657405366329065007481/25000000000000000000000000 -11456756144083415052499391/500000000000000000000000000 -23462337931674839028508651/250000000000000000000000000 17714308166700779916886541/500000000000000000000000000 3248945742414096346744971/250000000000000000000000000
1040657405366329065007481/25000000000000000000000000 47804824990587868945393917/100000000000000000000000000 -5368097986343893292314867/20000000000000000000000000 -84116815981101829030026537/100000000000000000000000000 414687671067948663781903/1562500000000000000000000 1814338503924324815590457/50000000000000000000000000
-11456756144083415052499391/500000000000000000000000000 -5368097986343893292314867/20000000000000000000000000 37790462558028216220458023/250000000000000000000000000 225719896692974617428935021/500000000000000000000000000 -68275176994298409782886987/500000000000000000000000000 -40717892107204701112157/3906250000000000000000000
-23462337931674839028508651/250000000000000000000000000 -84116815981101829030026537/100000000000000000000000000 225719896692974617428935021/500000000000000000000000000 1208894635507604104653962349/500000000000000000000000000 -256902841853853069122786417/250000000000000000000000000 -127870482619221968479780847/250000000000000000000000000
17714308166700779916886541/500000000000000000000000000 414687671067948663781903/1562500000000000000000000 -68275176994298409782886987/500000000000000000000000000 -256902841853853069122786417/250000000000000000000000000 241261308105583408582480457/500000000000000000000000000 71943539514302606834856767/250000000000000000000000000
3248945742414096346744971/250000000000000000000000000 1814338503924324815590457/50000000000000000000000000 -40717892107204701112157/3906250000000000000000000 -127870482619221968479780847/250000000000000000000000000 71943539514302606834856767/250000000000000000000000000 15821814519248547581788803/62500000000000000000000000


--- 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 4957591/250000000


--- 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 5415309/1000000000 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 :
24376507/1000000000


--- 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 :
60187836246006377452385557/100000000000000000000000000 -95464011654793196586669593/500000000000000000000000000 283785758822407525932425119/1000000000000000000000000000 -72990038050150757601354443/500000000000000000000000000 -33373240987756101891480303/62500000000000000000000000 -29370788439871998892395849/50000000000000000000000000 -41078400554199876135434851/200000000000000000000000000 1463742969177611410185454521/1000000000000000000000000000 166913944181356502662713851/1000000000000000000000000000 -78948566660602912924502233/500000000000000000000000000 -265900915903192834722924367/1000000000000000000000000000 -5184601881797488215250667/500000000000000000000000000
-95464011654793196586669593/500000000000000000000000000 236270666500774157042835923/1000000000000000000000000000 -351180771069463147128753063/1000000000000000000000000000 180648232007533870675274663/1000000000000000000000000000 660782446729253427074403513/1000000000000000000000000000 351349132253687852887754457/500000000000000000000000000 14545466693695594946026153/500000000000000000000000000 -1811360748959078235952093907/1000000000000000000000000000 -198166932309151987130454481/1000000000000000000000000000 80339068665526013698420571/500000000000000000000000000 27941797543710898707033973/200000000000000000000000000 -78104851083216942160489229/1000000000000000000000000000
283785758822407525932425119/1000000000000000000000000000 -351180771069463147128753063/1000000000000000000000000000 26098866989173747484134153/50000000000000000000000000 -134253198563125802023012719/500000000000000000000000000 -491076807350491252252597191/500000000000000000000000000 -261113791549057552249463901/250000000000000000000000000 -21619645760409472240419991/500000000000000000000000000 2692315021265346487623882177/1000000000000000000000000000 294545307343085918881329051/1000000000000000000000000000 -4776477160106984864172517/20000000000000000000000000 -20765637456167511497551423/100000000000000000000000000 116091099935867161011101967/1000000000000000000000000000
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-265900915903192834722924367/1000000000000000000000000000 27941797543710898707033973/200000000000000000000000000 -20765637456167511497551423/100000000000000000000000000 53409468945299627656951699/500000000000000000000000000 390726652550580635752136429/1000000000000000000000000000 335263538518228717435940669/1000000000000000000000000000 -100492094817717916930152767/1000000000000000000000000000 -1071074034888147548838132433/1000000000000000000000000000 -22667637666840800769035423/125000000000000000000000000 113816406123003177950039771/1000000000000000000000000000 632103770534440731563191403/1000000000000000000000000000 -196868726870571525968439393/1000000000000000000000000000
-5184601881797488215250667/500000000000000000000000000 -78104851083216942160489229/1000000000000000000000000000 116091099935867161011101967/1000000000000000000000000000 -59717541024888474123453091/1000000000000000000000000000 -218437247831357375316500439/1000000000000000000000000000 -184239024739854969330964217/500000000000000000000000000 -348438820860460492998965341/1000000000000000000000000000 149697021008268816328094681/250000000000000000000000000 8841487133277436527466977/125000000000000000000000000 -336154598868331720080876047/1000000000000000000000000000 -196868726870571525968439393/1000000000000000000000000000 210845761736269382821632443/125000000000000000000000000


--- 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 :
1618484113059656187955377649/500000000000000000000000000 441770400424140581480889229/250000000000000000000000000 1949116390609011877356594511/500000000000000000000000000 108923540794343737534846461/125000000000000000000000000
441770400424140581480889229/250000000000000000000000000 482330558863414703203774233/500000000000000000000000000 1064035070105022805569463223/500000000000000000000000000 29731027651621430077248311/62500000000000000000000000
1949116390609011877356594511/500000000000000000000000000 1064035070105022805569463223/500000000000000000000000000 4823638736745118352532326009/1000000000000000000000000000 999173417489846379180955467/1000000000000000000000000000
108923540794343737534846461/125000000000000000000000000 29731027651621430077248311/62500000000000000000000000 999173417489846379180955467/1000000000000000000000000000 7149267576155564917412773213/1000000000000000000000000000


--- 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 :
229058636771662677909376133/125000000000000000000000000 77826704180328750356896417/500000000000000000000000000 -31358390527647740465575597/200000000000000000000000000 133035074457300837181145659/500000000000000000000000000 18311878986292304660714079/100000000000000000000000000 -286862864591837992211836221/1000000000000000000000000000 -297009217681222992572049289/500000000000000000000000000 92512843975152782597224643/1000000000000000000000000000 -232864208829758772667342467/1000000000000000000000000000 -5753302127432264497595557/7812500000000000000000000
77826704180328750356896417/500000000000000000000000000 3169347231746971097446498793/500000000000000000000000000 -319252975106769841638752913/50000000000000000000000000 1393040890665847828572217137/500000000000000000000000000 -72758511044793712694546429/50000000000000000000000000 -699348021791192502188802337/1000000000000000000000000000 -805275733034005880116380697/200000000000000000000000000 1883706417461981755299266789/500000000000000000000000000 9176087976567441177463281/100000000000000000000000000 -1899217364584891190123304201/500000000000000000000000000
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-5753302127432264497595557/7812500000000000000000000 -1899217364584891190123304201/500000000000000000000000000 956554693686696993373413407/250000000000000000000000000 -7741706922238284391721833/3906250000000000000000000 792277724505537918449694059/1000000000000000000000000000 12008073852330371153574929/62500000000000000000000000 2957353214942382994695521361/1000000000000000000000000000 -451521108524151488092784997/200000000000000000000000000 -327688341311070710324425409/1000000000000000000000000000 3923720948266422804766051341/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 194024113659139414544276671/1000000000000000000000000000 415856100737335443194537/100000000000000000000000000 40474559724656798733542821/1000000000000000000000000000 -122656564616830808832849949/1000000000000000000000000000 -49660964005269633075810863/1000000000000000000000000000
0/1 415856100737335443194537/100000000000000000000000000 1280569098720546540113648371/500000000000000000000000000 -135722292729034097478816127/250000000000000000000000000 58334148333201316804246773/500000000000000000000000000 28574281776149471452843501/250000000000000000000000000
0/1 40474559724656798733542821/1000000000000000000000000000 -135722292729034097478816127/250000000000000000000000000 1067372055048129581960391727/1000000000000000000000000000 -73704763020373642907348977/1000000000000000000000000000 -4286754789948289231105487/1000000000000000000000000000
0/1 -122656564616830808832849949/1000000000000000000000000000 58334148333201316804246773/500000000000000000000000000 -73704763020373642907348977/1000000000000000000000000000 930832362306144712391977021/1000000000000000000000000000 22710881696337079044709509/1000000000000000000000000000
0/1 -49660964005269633075810863/1000000000000000000000000000 28574281776149471452843501/250000000000000000000000000 -4286754789948289231105487/1000000000000000000000000000 22710881696337079044709509/1000000000000000000000000000 1338942839692342918104389987/1000000000000000000000000000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

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

Basis :
B1 : (F1)
B2 : (F2)+(F9)
B3 : (F3)+(F5)
B4 : (F4)+(F6)+(F11)+(F13)
B5 : (F7)
B6 : (F8)+(F15)
B7 : (F10)
B8 : (F12)+(F14)
B9 : (F16)

Matrix :
9140153491130608732917019/250000000000000000000000000 21379223622785984048891443/200000000000000000000000000 36622564017469040803020423/1000000000000000000000000000 -4301780754168919864222867/500000000000000000000000000 -50171327856112036694737833/1000000000000000000000000000 -9895749270120886467048037/250000000000000000000000000 -50371265962237204669049039/1000000000000000000000000000 -16472877161574869358136559/500000000000000000000000000 -4610782698458829713611197/1000000000000000000000000000
21379223622785984048891443/200000000000000000000000000 312543440296586285107701893/1000000000000000000000000000 107077248009160089291009199/1000000000000000000000000000 -6288784714438037356420959/250000000000000000000000000 -18336399498254806169909313/125000000000000000000000000 -14466622217215084529116221/125000000000000000000000000 -147275776087143175854893931/1000000000000000000000000000 -24081743066575727994421119/250000000000000000000000000 -6740515819647869421466733/500000000000000000000000000
36622564017469040803020423/1000000000000000000000000000 107077248009160089291009199/1000000000000000000000000000 7336923808309669482815369/200000000000000000000000000 -107726746486440210636859/12500000000000000000000000 -25128170276829369211470687/500000000000000000000000000 -4956258545018917177977347/125000000000000000000000000 -50456617444473696211872281/1000000000000000000000000000 -1031299350184668469741139/31250000000000000000000000 -1154648895530886588063133/250000000000000000000000000
-4301780754168919864222867/500000000000000000000000000 -6288784714438037356420959/250000000000000000000000000 -107726746486440210636859/12500000000000000000000000 38815150721563074245146337/250000000000000000000000000 1180647850917369034925763/100000000000000000000000000 -4625237603235760281102349/125000000000000000000000000 92605692011672485247011/7812500000000000000000000 -8763240877112868547634489/250000000000000000000000000 -3033079307983823865105499/100000000000000000000000000
-50171327856112036694737833/1000000000000000000000000000 -18336399498254806169909313/125000000000000000000000000 -25128170276829369211470687/500000000000000000000000000 1180647850917369034925763/100000000000000000000000000 68849011706643627830619039/1000000000000000000000000000 13579719466178457042299913/250000000000000000000000000 34561691190021437266072989/500000000000000000000000000 22605367650703903625614443/500000000000000000000000000 6327276071378397401751633/1000000000000000000000000000
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-50371265962237204669049039/1000000000000000000000000000 -147275776087143175854893931/1000000000000000000000000000 -50456617444473696211872281/1000000000000000000000000000 92605692011672485247011/7812500000000000000000000 34561691190021437266072989/500000000000000000000000000 6816918069183475770840023/125000000000000000000000000 13879769289982594275863353/200000000000000000000000000 5673863114656634688886793/125000000000000000000000000 794061348834208289136697/125000000000000000000000000
-16472877161574869358136559/500000000000000000000000000 -24081743066575727994421119/250000000000000000000000000 -1031299350184668469741139/31250000000000000000000000 -8763240877112868547634489/250000000000000000000000000 22605367650703903625614443/500000000000000000000000000 692248075477299805693337/25000000000000000000000000 5673863114656634688886793/125000000000000000000000000 33519108416888293071026723/250000000000000000000000000 -21195867322368284374529671/500000000000000000000000000
-4610782698458829713611197/1000000000000000000000000000 -6740515819647869421466733/500000000000000000000000000 -1154648895530886588063133/250000000000000000000000000 -3033079307983823865105499/100000000000000000000000000 6327276071378397401751633/1000000000000000000000000000 -2164071683467191786181123/50000000000000000000000000 794061348834208289136697/125000000000000000000000000 -21195867322368284374529671/500000000000000000000000000 530323366702966947679597039/1000000000000000000000000000


--- 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 :
364129404330985468436421221/500000000000000000000000000 0/1 -611173865530824712186816819/1000000000000000000000000000 152793444629947649890274417/250000000000000000000000000 611173794648734921669742431/1000000000000000000000000000 -143641841624486650475148523/1000000000000000000000000000 -20864494802561207/10000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
-611173865530824712186816819/1000000000000000000000000000 0/1 487003086675712876118083387/200000000000000000000000000 -312428980038933970513333729/250000000000000000000000000 -803648120034167497979782053/1000000000000000000000000000 4038283055437998097256047/31250000000000000000000000 9566693729602678889738657/62500000000000000000000000
152793444629947649890274417/250000000000000000000000000 0/1 -312428980038933970513333729/250000000000000000000000000 487003062947022562233871981/200000000000000000000000000 -381651654015692926281024333/1000000000000000000000000000 -64612515891712890805624949/500000000000000000000000000 -153067108723800439068140299/1000000000000000000000000000
611173794648734921669742431/1000000000000000000000000000 0/1 -803648120034167497979782053/1000000000000000000000000000 -381651654015692926281024333/1000000000000000000000000000 1217507699833295327785520803/500000000000000000000000000 -4038282394300764611995221/31250000000000000000000000 153067100323924881339046373/1000000000000000000000000000
-143641841624486650475148523/1000000000000000000000000000 0/1 4038283055437998097256047/31250000000000000000000000 -64612515891712890805624949/500000000000000000000000000 -4038282394300764611995221/31250000000000000000000000 363272941361533981427756183/1000000000000000000000000000 105482692189675627/500000000000000000000000000
-20864494802561207/10000000000000000000000000 0/1 9566693729602678889738657/62500000000000000000000000 -153067108723800439068140299/1000000000000000000000000000 153067100323924881339046373/1000000000000000000000000000 105482692189675627/500000000000000000000000000 298947796529226444016263931/1000000000000000000000000000


--- 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 :
158200861814382096973883369/1000000000000000000000000000 -525717836562492983356489/25000000000000000000000000 -3288914795026077733132653/500000000000000000000000000 30493824173851741229464829/250000000000000000000000000 -895226079823365359892989/500000000000000000000000000 -74249062115481546844369219/500000000000000000000000000 16847325568483467415388089/200000000000000000000000000 -32087295613586851282067357/250000000000000000000000000 69696729869860535550316057/1000000000000000000000000000 -19921914329822249603599339/250000000000000000000000000 893596652859190281952261/40000000000000000000000000 -66821216474094544532093821/1000000000000000000000000000
-525717836562492983356489/25000000000000000000000000 901691461332701891651336103/1000000000000000000000000000 -22533505521211767680783531/250000000000000000000000000 162086298082983563933281073/1000000000000000000000000000 -13526432349901756855748049/500000000000000000000000000 -94965940948184344662376479/500000000000000000000000000 -136463690783106702200798557/1000000000000000000000000000 -22823266044105284764730899/500000000000000000000000000 -70932198886443875278120631/500000000000000000000000000 294241581815694199862877/20000000000000000000000000 -1960749847930541288024769/1000000000000000000000000000 -5652455197975355133063873/1000000000000000000000000000
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893596652859190281952261/40000000000000000000000000 -1960749847930541288024769/1000000000000000000000000000 -1423098278426828070778151/50000000000000000000000000 9574410641654194922541001/1000000000000000000000000000 -68864907879096831587452837/500000000000000000000000000 -3413916536967759058260003/100000000000000000000000000 -1071372416193561263261969/100000000000000000000000000 -20967391471277477982771479/250000000000000000000000000 -12160122768301939447783901/1000000000000000000000000000 -975856403384137807588903/125000000000000000000000000 213626143374351041581936097/500000000000000000000000000 -200297700695192831762737/250000000000000000000000000
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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 :
2545588197731056463600586919/1000000000000000000000000000 393027008386781376331313953/500000000000000000000000000 763241418672642146016889787/1000000000000000000000000000 -14630053313869879157075327/200000000000000000000000000
393027008386781376331313953/500000000000000000000000000 378050208451158059575064123/125000000000000000000000000 1020906716221318515770606633/500000000000000000000000000 120681701381606240912958221/125000000000000000000000000
763241418672642146016889787/1000000000000000000000000000 1020906716221318515770606633/500000000000000000000000000 4045744589981336714468752897/1000000000000000000000000000 1271253216726615105786446377/1000000000000000000000000000
-14630053313869879157075327/200000000000000000000000000 120681701381606240912958221/125000000000000000000000000 1271253216726615105786446377/1000000000000000000000000000 106440251791040224116266413/100000000000000000000000000


--- 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 91951099323719459657503863/500000000000000000000000000 -4648692176944385109413649/500000000000000000000000000 -16543124435315754610488297/500000000000000000000000000 -9760057902852512994511443/250000000000000000000000000 0/1
0/1 -4648692176944385109413649/500000000000000000000000000 96356946161625345080336229/1000000000000000000000000000 -11701256293969425683904663/1000000000000000000000000000 -37005173848377889251160629/1000000000000000000000000000 0/1
0/1 -16543124435315754610488297/500000000000000000000000000 -11701256293969425683904663/1000000000000000000000000000 179931893302288516995088791/1000000000000000000000000000 -23970469572123503350757157/1000000000000000000000000000 0/1
0/1 -9760057902852512994511443/250000000000000000000000000 -37005173848377889251160629/1000000000000000000000000000 -23970469572123503350757157/1000000000000000000000000000 75432459783988225254361219/1000000000000000000000000000 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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