#Density : 2824634820284910561041374659/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 9, 10, 11, 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 :
510431538477343005679213/1000000000000000000000000000 -158991531143400004796099/8000000000000000000000000 -5425409412024199555259323/1000000000000000000000000000 454817810347150374188897/20000000000000000000000000 -3024679353180204430928439/250000000000000000000000000 -1801016476475967073822819/250000000000000000000000000
-158991531143400004796099/8000000000000000000000000 49523403374975398596877/64000000000000000000000 1689931135663612197012629/8000000000000000000000000 -141668714817455863244431/160000000000000000000000 942140846183813022596697/2000000000000000000000000 560988782283318061059437/2000000000000000000000000
-5425409412024199555259323/1000000000000000000000000000 1689931135663612197012629/8000000000000000000000000 57667023036797190671991133/1000000000000000000000000000 -4834287544955840227120487/20000000000000000000000000 32149509961809619668344769/250000000000000000000000000 19143119118054061412597749/250000000000000000000000000
454817810347150374188897/20000000000000000000000000 -141668714817455863244431/160000000000000000000000 -4834287544955840227120487/20000000000000000000000000 405263438905153971814693/400000000000000000000000 -2695127429859468158151891/5000000000000000000000000 -1604787926454311515496111/5000000000000000000000000
-3024679353180204430928439/250000000000000000000000000 942140846183813022596697/2000000000000000000000000 32149509961809619668344769/250000000000000000000000000 -2695127429859468158151891/5000000000000000000000000 17923432429049857699737717/62500000000000000000000000 10672336915905563768428857/62500000000000000000000000
-1801016476475967073822819/250000000000000000000000000 560988782283318061059437/2000000000000000000000000 19143119118054061412597749/250000000000000000000000000 -1604787926454311515496111/5000000000000000000000000 10672336915905563768428857/62500000000000000000000000 6354741241526726304398797/62500000000000000000000000


--- 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 :
21421878755017012723573133/250000000000000000000000000 87544211409232821294733/500000000000000000000000000 -26205638820869140163395337/250000000000000000000000000 -23241217270437830578058463/500000000000000000000000000 -12885554284072211640473553/500000000000000000000000000 1308811080153253131781469/50000000000000000000000000
87544211409232821294733/500000000000000000000000000 357764556457007336333/1000000000000000000000000000 -107093874038049785417737/500000000000000000000000000 -94979252819018513796063/1000000000000000000000000000 -52659045514659738579153/1000000000000000000000000000 5348682774560487410269/100000000000000000000000000
-26205638820869140163395337/250000000000000000000000000 -107093874038049785417737/500000000000000000000000000 32057669351200580564833493/250000000000000000000000000 28431257244596249403454707/500000000000000000000000000 15763051664925326824542717/500000000000000000000000000 -1601084145955923803545241/50000000000000000000000000
-23241217270437830578058463/500000000000000000000000000 -94979252819018513796063/1000000000000000000000000000 28431257244596249403454707/500000000000000000000000000 25215070367494884416937093/1000000000000000000000000000 13979911388304626057923083/1000000000000000000000000000 -1419967082610538327518159/100000000000000000000000000
-12885554284072211640473553/500000000000000000000000000 -52659045514659738579153/1000000000000000000000000000 15763051664925326824542717/500000000000000000000000000 13979911388304626057923083/1000000000000000000000000000 7750837874987303550364773/1000000000000000000000000000 -787267840219672464194529/100000000000000000000000000
1308811080153253131781469/50000000000000000000000000 5348682774560487410269/100000000000000000000000000 -1601084145955923803545241/50000000000000000000000000 -1419967082610538327518159/100000000000000000000000000 -787267840219672464194529/100000000000000000000000000 79964342209281857295917/10000000000000000000000000


--- 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 :
852161518742812638450667909/1000000000000000000000000000 561445420524104657312181541/1000000000000000000000000000 217203431190330734086021609/250000000000000000000000000 137584326551040587286996977/200000000000000000000000000 800315912766518367520073533/1000000000000000000000000000 -16036532677952984543944969/25000000000000000000000000 -422656894496097741029501729/1000000000000000000000000000 -815172237943173642765852361/1000000000000000000000000000 -1205006603048988131104253519/1000000000000000000000000000 -32239108816019740860080999/125000000000000000000000000 -25453878414764259061220671/50000000000000000000000000 -134133485143833299686072341/200000000000000000000000000
561445420524104657312181541/1000000000000000000000000000 639079940989385054147118719/1000000000000000000000000000 355617163486106314893357927/500000000000000000000000000 303051304607054452711542091/500000000000000000000000000 30572069336738934802778209/50000000000000000000000000 15872050996325663656739883/1000000000000000000000000000 -173681072190394496187799923/500000000000000000000000000 -155632241776310176567892807/200000000000000000000000000 -201405601025048820395848271/200000000000000000000000000 -306844050723826536487709907/1000000000000000000000000000 -32141502917980301447431673/50000000000000000000000000 -455009269374189154738622437/1000000000000000000000000000
217203431190330734086021609/250000000000000000000000000 355617163486106314893357927/500000000000000000000000000 957382372588772576727319277/1000000000000000000000000000 390100341529896014558283709/500000000000000000000000000 214838774288429220844667241/250000000000000000000000000 -8557079875944816164384509/20000000000000000000000000 -46644675249928122339340833/100000000000000000000000000 -477717295572156665846211301/500000000000000000000000000 -1338459479211846745478119307/1000000000000000000000000000 -333564413272892194210182549/1000000000000000000000000000 -677570783674117674561128717/1000000000000000000000000000 -345275048537347029227307267/500000000000000000000000000
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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 :
3301906828211414745513251/7812500000000000000000000 309382432733237460590154879/500000000000000000000000000 18299956047379887977539733/500000000000000000000000000 7186394508759905489493509/100000000000000000000000000
309382432733237460590154879/500000000000000000000000000 1397565861053960108976246931/1000000000000000000000000000 53583478187924319009464851/1000000000000000000000000000 233299343411007254600469553/1000000000000000000000000000
18299956047379887977539733/500000000000000000000000000 53583478187924319009464851/1000000000000000000000000000 633892037160840844675227/200000000000000000000000000 6223234783131656391216857/1000000000000000000000000000
7186394508759905489493509/100000000000000000000000000 233299343411007254600469553/1000000000000000000000000000 6223234783131656391216857/1000000000000000000000000000 2789905834734686759674119171/1000000000000000000000000000


--- 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 :
30443900093925556610528339/25000000000000000000000000 3333453091943159794441489/20000000000000000000000000 245713491060442593601486747/500000000000000000000000000 1597109084027709698160537/4000000000000000000000000 -318171560853497412055219573/1000000000000000000000000000 -655644309261647458414599251/1000000000000000000000000000 27625124573294535029133921/1000000000000000000000000000 -94699884933731252343586443/250000000000000000000000000 -102152091166053930946402769/1000000000000000000000000000 -100537523054056802688866571/500000000000000000000000000
3333453091943159794441489/20000000000000000000000000 205545167997136319337530699/250000000000000000000000000 39133396823120264803829273/40000000000000000000000000 -114505491471633007897094387/100000000000000000000000000 -218840614679144745143158417/1000000000000000000000000000 431249429084496402188087461/1000000000000000000000000000 299043696966967183553425197/1000000000000000000000000000 -75411573115559450942469939/100000000000000000000000000 -27376071762421326940323533/100000000000000000000000000 239131048089261163649444451/1000000000000000000000000000
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--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

Flags :
F1  : {2, 3, 4}
F2  : {2, 3, 5}
F3  : {2, 3, 6}
F4  : {2, 3, 4, 6}
F5  : {2, 3, 5, 6}
F6  : {2, 3, 4, 5, 6}
F7  : {2, 3, 7}
F8  : {2, 3, 4, 7}
F9  : {2, 3, 5, 7}
F10 : {2, 3, 4, 5, 7}
F11 : {2, 3, 4, 6, 7}
F12 : {2, 3, 5, 6, 7}

Basis :
B1 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
13651878317863223859710539/100000000000000000000000000 0/1 1054994515578177283494933/100000000000000000000000000 0/1 86554975037266739332627/25000000000000000000000000 -4969719548261930257823123/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
1054994515578177283494933/100000000000000000000000000 0/1 193506256512393364307496503/50000000000000000000000000 0/1 356161556518134054989679387/200000000000000000000000000 7242230556903992801956769/10000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
86554975037266739332627/25000000000000000000000000 0/1 356161556518134054989679387/200000000000000000000000000 0/1 115140166824144880529509829/50000000000000000000000000 557906066106808065135805349/1000000000000000000000000000
-4969719548261930257823123/500000000000000000000000000 0/1 7242230556903992801956769/10000000000000000000000000 0/1 557906066106808065135805349/1000000000000000000000000000 440193469932712854955330601/1000000000000000000000000000


--- 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 :
285596553453609382145788071/500000000000000000000000000 40972180377163707907838229/125000000000000000000000000 45977291416511611291845867/500000000000000000000000000 -3998259815775926313165177/25000000000000000000000000 -178577324204970065088313311/250000000000000000000000000 -1292809108552870817884689/10000000000000000000000000 202676008593653598371310153/500000000000000000000000000 -17905428039974937198249843/125000000000000000000000000 -264657338701955923656175287/500000000000000000000000000
40972180377163707907838229/125000000000000000000000000 11755881116622229111261929/62500000000000000000000000 26383930125869653943500851/500000000000000000000000000 -22943893458902839976379321/250000000000000000000000000 -204952118647629494640693231/500000000000000000000000000 -37093730658536826736635921/500000000000000000000000000 116305016735037349099879863/500000000000000000000000000 -5137487959940269894282389/62500000000000000000000000 -75936408113538499650311127/250000000000000000000000000
45977291416511611291845867/500000000000000000000000000 26383930125869653943500851/500000000000000000000000000 79076033008489870167182787/1000000000000000000000000000 -1287334561751418366129957/50000000000000000000000000 -114994408407367135874860719/1000000000000000000000000000 -7555027265137914978965961/200000000000000000000000000 65256347143816792336537263/1000000000000000000000000000 -11530154337486309890310081/500000000000000000000000000 -8521270615162786888725501/100000000000000000000000000
-3998259815775926313165177/25000000000000000000000000 -22943893458902839976379321/250000000000000000000000000 -1287334561751418366129957/50000000000000000000000000 11194870078882257189145499/250000000000000000000000000 12500125277133275810312279/62500000000000000000000000 4524727843168537351254711/125000000000000000000000000 -28373988795823832721592123/250000000000000000000000000 10026809154491851334833627/250000000000000000000000000 7410235099031837000557101/50000000000000000000000000
-178577324204970065088313311/250000000000000000000000000 -204952118647629494640693231/500000000000000000000000000 -114994408407367135874860719/1000000000000000000000000000 12500125277133275810312279/62500000000000000000000000 893284189450472151549622313/1000000000000000000000000000 161673093628065458485900947/1000000000000000000000000000 -506915631264117618306096319/1000000000000000000000000000 89567003227656236825752853/500000000000000000000000000 165484487838123305631178359/250000000000000000000000000
-1292809108552870817884689/10000000000000000000000000 -37093730658536826736635921/500000000000000000000000000 -7555027265137914978965961/200000000000000000000000000 4524727843168537351254711/125000000000000000000000000 161673093628065458485900947/1000000000000000000000000000 321638941153948939021557489/1000000000000000000000000000 -91745291594161759883457741/1000000000000000000000000000 16210490057722877536877067/500000000000000000000000000 1198023625899157607038827/10000000000000000000000000
202676008593653598371310153/500000000000000000000000000 116305016735037349099879863/500000000000000000000000000 65256347143816792336537263/1000000000000000000000000000 -28373988795823832721592123/250000000000000000000000000 -506915631264117618306096319/1000000000000000000000000000 -91745291594161759883457741/1000000000000000000000000000 287661485845816723593796931/1000000000000000000000000000 -50826953524738244752745197/500000000000000000000000000 -37563263564974375576497567/100000000000000000000000000
-17905428039974937198249843/125000000000000000000000000 -5137487959940269894282389/62500000000000000000000000 -11530154337486309890310081/500000000000000000000000000 10026809154491851334833627/250000000000000000000000000 89567003227656236825752853/500000000000000000000000000 16210490057722877536877067/500000000000000000000000000 -50826953524738244752745197/500000000000000000000000000 2245155618425891122108541/62500000000000000000000000 6637058992588842866862489/50000000000000000000000000
-264657338701955923656175287/500000000000000000000000000 -75936408113538499650311127/250000000000000000000000000 -8521270615162786888725501/100000000000000000000000000 7410235099031837000557101/50000000000000000000000000 165484487838123305631178359/250000000000000000000000000 1198023625899157607038827/10000000000000000000000000 -37563263564974375576497567/100000000000000000000000000 6637058992588842866862489/50000000000000000000000000 245253334053904367229358077/500000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 496087359140703834655649513/1000000000000000000000000000 67488759753427051690745299/125000000000000000000000000 -67488759753427051690745299/125000000000000000000000000 67488759753427051690745299/125000000000000000000000000 1964776516891920711/62500000000000000000000000 10756953449416681332307261/20000000000000000000000000
0/1 67488759753427051690745299/125000000000000000000000000 405613603318522868408054017/500000000000000000000000000 -405613603318522868408054017/500000000000000000000000000 405613603318522868408054017/500000000000000000000000000 22888246547705830623/500000000000000000000000000 202032098855013208412515373/250000000000000000000000000
0/1 -67488759753427051690745299/125000000000000000000000000 -405613603318522868408054017/500000000000000000000000000 405613603318522868408054017/500000000000000000000000000 -405613603318522868408054017/500000000000000000000000000 -22888246547705830623/500000000000000000000000000 -202032098855013208412515373/250000000000000000000000000
0/1 67488759753427051690745299/125000000000000000000000000 405613603318522868408054017/500000000000000000000000000 -405613603318522868408054017/500000000000000000000000000 405613603318522868408054017/500000000000000000000000000 22888246547705830623/500000000000000000000000000 202032098855013208412515373/250000000000000000000000000
0/1 1964776516891920711/62500000000000000000000000 22888246547705830623/500000000000000000000000000 -22888246547705830623/500000000000000000000000000 22888246547705830623/500000000000000000000000000 1384115510231775654337962351/1000000000000000000000000000 11373971852900827791/250000000000000000000000000
0/1 10756953449416681332307261/20000000000000000000000000 202032098855013208412515373/250000000000000000000000000 -202032098855013208412515373/250000000000000000000000000 202032098855013208412515373/250000000000000000000000000 11373971852900827791/250000000000000000000000000 40252071068443744005956279/50000000000000000000000000


--- 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 :
9101158336572985885669844493/1000000000000000000000000000 2704580734906545198637596659/500000000000000000000000000 -17494183176509882828532351/8000000000000000000000000 -155012818252814781299812637/50000000000000000000000000 -600906821495631605054825081/200000000000000000000000000 -2304351493101144574305967357/250000000000000000000000000 2155122719802231413284959081/500000000000000000000000000 2460248240864209923617004057/500000000000000000000000000 317960654404663741323751687/200000000000000000000000000 1380784316635403079063693437/1000000000000000000000000000 -858657708226490551514572621/500000000000000000000000000 -463028144618942178209891659/200000000000000000000000000
2704580734906545198637596659/500000000000000000000000000 1662754327360488051664853087/500000000000000000000000000 -41539822364622781648905849/31250000000000000000000000 -1721377560858952737828853039/1000000000000000000000000000 -1837470129708535135982766589/1000000000000000000000000000 -5292723239788112928541132909/1000000000000000000000000000 1168306247156128731560268447/500000000000000000000000000 135416715195449921234381741/50000000000000000000000000 172717428358903212682046051/250000000000000000000000000 482174963563668814889076503/500000000000000000000000000 -279642109967930704411073737/250000000000000000000000000 -128138922935121905622416251/125000000000000000000000000
-17494183176509882828532351/8000000000000000000000000 -41539822364622781648905849/31250000000000000000000000 1239915311936517413604827553/1000000000000000000000000000 113777939472848486843391669/200000000000000000000000000 314599151719369225824156981/500000000000000000000000000 2165081123572288208276481393/1000000000000000000000000000 -24385639262213597564366277/25000000000000000000000000 -281116860950789489159489417/250000000000000000000000000 -429974812549601992217000439/1000000000000000000000000000 -371857421608644397533552711/1000000000000000000000000000 171047565458859190865122923/500000000000000000000000000 465735372836441826258885411/1000000000000000000000000000
-155012818252814781299812637/50000000000000000000000000 -1721377560858952737828853039/1000000000000000000000000000 113777939472848486843391669/200000000000000000000000000 419578721861105016804206233/250000000000000000000000000 878981414715913194118612729/1000000000000000000000000000 668625578559366482926785827/200000000000000000000000000 -42872999229240280444322241/25000000000000000000000000 -956454252695400042721094407/500000000000000000000000000 -488722833162858547523916307/500000000000000000000000000 -63156600072402071153238893/200000000000000000000000000 111935494306029252919304527/250000000000000000000000000 1178795329480992639992775353/1000000000000000000000000000
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2155122719802231413284959081/500000000000000000000000000 1168306247156128731560268447/500000000000000000000000000 -24385639262213597564366277/25000000000000000000000000 -42872999229240280444322241/25000000000000000000000000 -1317601429275058751136276149/1000000000000000000000000000 -4742810361898471976853800393/1000000000000000000000000000 2499391221187680836867939437/1000000000000000000000000000 2770034662863141856901343007/1000000000000000000000000000 634888122155325832414005803/500000000000000000000000000 361535771255613539392166369/1000000000000000000000000000 -614096761047655656037277819/1000000000000000000000000000 -22629594518737754332320237/12500000000000000000000000
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317960654404663741323751687/200000000000000000000000000 172717428358903212682046051/250000000000000000000000000 -429974812549601992217000439/1000000000000000000000000000 -488722833162858547523916307/500000000000000000000000000 -41340064309708346753687479/100000000000000000000000000 -2036050740890093659162134481/1000000000000000000000000000 634888122155325832414005803/500000000000000000000000000 271130448451707037601237181/200000000000000000000000000 1143663944393502452463839057/1000000000000000000000000000 -93340679114530845998795231/1000000000000000000000000000 -81523777294810851598143541/1000000000000000000000000000 -48026728530669617312990683/40000000000000000000000000
1380784316635403079063693437/1000000000000000000000000000 482174963563668814889076503/500000000000000000000000000 -371857421608644397533552711/1000000000000000000000000000 -63156600072402071153238893/200000000000000000000000000 -512287183407856187613686789/1000000000000000000000000000 -289364751275295232122571409/250000000000000000000000000 361535771255613539392166369/1000000000000000000000000000 465843780718738036427232677/1000000000000000000000000000 -93340679114530845998795231/1000000000000000000000000000 21270076168905065233531187/50000000000000000000000000 -15133454513926182278323297/40000000000000000000000000 45889150826010807815548213/1000000000000000000000000000
-858657708226490551514572621/500000000000000000000000000 -279642109967930704411073737/250000000000000000000000000 171047565458859190865122923/500000000000000000000000000 111935494306029252919304527/250000000000000000000000000 431253352795769872829987993/1000000000000000000000000000 1575079968687372411789514841/1000000000000000000000000000 -614096761047655656037277819/1000000000000000000000000000 -368616845381573681572346723/500000000000000000000000000 -81523777294810851598143541/1000000000000000000000000000 -15133454513926182278323297/40000000000000000000000000 819484184610807938007323521/1000000000000000000000000000 53826288315614974134407959/500000000000000000000000000
-463028144618942178209891659/200000000000000000000000000 -128138922935121905622416251/125000000000000000000000000 465735372836441826258885411/1000000000000000000000000000 1178795329480992639992775353/1000000000000000000000000000 144647763709560235661560547/250000000000000000000000000 2933063494250489654140915451/1000000000000000000000000000 -22629594518737754332320237/12500000000000000000000000 -193697705464421638226681397/100000000000000000000000000 -48026728530669617312990683/40000000000000000000000000 45889150826010807815548213/1000000000000000000000000000 53826288315614974134407959/500000000000000000000000000 1818721013167302846461904463/1000000000000000000000000000


--- Term 15 ---

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

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

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

Matrix :
211057105816463948749440047/62500000000000000000000000 330064528346748934364530461/250000000000000000000000000 -19715543374320505719455173/250000000000000000000000000 -211231375275303510196548071/500000000000000000000000000
330064528346748934364530461/250000000000000000000000000 1562709533422708910586681211/500000000000000000000000000 259566069716937985434822081/500000000000000000000000000 1539607198136553805654597/2000000000000000000000000
-19715543374320505719455173/250000000000000000000000000 259566069716937985434822081/500000000000000000000000000 443390439681377449499428531/500000000000000000000000000 213475520654990939594957471/250000000000000000000000000
-211231375275303510196548071/500000000000000000000000000 1539607198136553805654597/2000000000000000000000000 213475520654990939594957471/250000000000000000000000000 2063791190807207245921579357/1000000000000000000000000000


--- 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 :
63000073742187912484071639/500000000000000000000000000 13980917271916865325829559/500000000000000000000000000 577978945796992254469749/250000000000000000000000000 0/1 0/1 -48561434041044547519225409/500000000000000000000000000
13980917271916865325829559/500000000000000000000000000 76625395687764005663073633/1000000000000000000000000000 -868480029356807142974581/50000000000000000000000000 0/1 0/1 -21553415832893427974144729/1000000000000000000000000000
577978945796992254469749/250000000000000000000000000 -868480029356807142974581/50000000000000000000000000 4441195763500846666543623/125000000000000000000000000 0/1 0/1 -445515129647520802984909/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
-48561434041044547519225409/500000000000000000000000000 -21553415832893427974144729/1000000000000000000000000000 -445515129647520802984909/250000000000000000000000000 0/1 0/1 74863813200381896505893401/1000000000000000000000000000


--- 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 :
138644307727912675804311653/125000000000000000000000000 -468665347960949300792852959/500000000000000000000000000 -10738993144248153241096193/125000000000000000000000000 -79782778483285440583141403/200000000000000000000000000 199457046179348842259313967/500000000000000000000000000 -199456983869239913971913777/500000000000000000000000000 0/1 0/1 0/1 0/1
-468665347960949300792852959/500000000000000000000000000 1109154461229485907668137649/1000000000000000000000000000 -21478001270871394380020673/250000000000000000000000000 398913917839794624714156071/1000000000000000000000000000 -398914123324940477505642611/1000000000000000000000000000 199456970134357536228943693/500000000000000000000000000 0/1 0/1 0/1 0/1
-10738993144248153241096193/125000000000000000000000000 -21478001270871394380020673/250000000000000000000000000 554576955175396073201138041/500000000000000000000000000 -398913976448830528040273123/1000000000000000000000000000 99728442214522636663565151/250000000000000000000000000 9972845388708714077695873/25000000000000000000000000 0/1 0/1 0/1 0/1
-79782778483285440583141403/200000000000000000000000000 398913917839794624714156071/1000000000000000000000000000 -398913976448830528040273123/1000000000000000000000000000 1894943718888006797767376827/1000000000000000000000000000 -300470861221052960211526499/1000000000000000000000000000 -199309237771116846996938021/250000000000000000000000000 0/1 0/1 0/1 0/1
199457046179348842259313967/500000000000000000000000000 -398914123324940477505642611/1000000000000000000000000000 99728442214522636663565151/250000000000000000000000000 -300470861221052960211526499/1000000000000000000000000000 1894943716555882084361930513/1000000000000000000000000000 -398618527220975675187705403/500000000000000000000000000 0/1 0/1 0/1 0/1
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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 :
90852158111768240679539391/1000000000000000000000000000 26157782777172204558351741/200000000000000000000000000 26517881334511923861536937/1000000000000000000000000000 -15281000237594129488049937/200000000000000000000000000 -367651270968340573939676607/1000000000000000000000000000 -29466246163826322268287447/250000000000000000000000000
26157782777172204558351741/200000000000000000000000000 37656210597439695861669011/200000000000000000000000000 1526984044803523935774143/40000000000000000000000000 -21998216285691513221422399/200000000000000000000000000 -105852654285990272920918717/200000000000000000000000000 -8483801402536119812978101/50000000000000000000000000
26517881334511923861536937/1000000000000000000000000000 1526984044803523935774143/40000000000000000000000000 68334946309201668436687279/1000000000000000000000000000 -4460210510992741810672391/200000000000000000000000000 -107309864358445870323579049/1000000000000000000000000000 -8600592817098699602070289/250000000000000000000000000
-15281000237594129488049937/200000000000000000000000000 -21998216285691513221422399/200000000000000000000000000 -4460210510992741810672391/200000000000000000000000000 12851041357437221535901211/200000000000000000000000000 61837597210486915942500689/200000000000000000000000000 991222936226789282630101/10000000000000000000000000
-367651270968340573939676607/1000000000000000000000000000 -105852654285990272920918717/200000000000000000000000000 -107309864358445870323579049/1000000000000000000000000000 61837597210486915942500689/200000000000000000000000000 1487773761833486978692286239/1000000000000000000000000000 119241007345905636683885119/250000000000000000000000000
-29466246163826322268287447/250000000000000000000000000 -8483801402536119812978101/50000000000000000000000000 -8600592817098699602070289/250000000000000000000000000 991222936226789282630101/10000000000000000000000000 119241007345905636683885119/250000000000000000000000000 9556841367698256625508629/62500000000000000000000000


--- 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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-30861580131634247706459599/250000000000000000000000000 30861580131634247706459599/250000000000000000000000000 -974644791530865531/1000000000000000000000000000 1113999175565446079226541/250000000000000000000000000 -4455991313849816145785647/1000000000000000000000000000 4455998496113268292225299/1000000000000000000000000000 0/1 72152235831298423234637081/500000000000000000000000000 -72152235831298423234637081/500000000000000000000000000 589344279916578643/500000000000000000000000000
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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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72152235831298423234637081/500000000000000000000000000 -72152235831298423234637081/500000000000000000000000000 1097518252749135577/1000000000000000000000000000 -5208905582640177605680461/1000000000000000000000000000 2604449641998633417260811/500000000000000000000000000 -5208907891461722112091151/1000000000000000000000000000 0/1 -168686927670272463311111217/1000000000000000000000000000 168686927670272463311111217/1000000000000000000000000000 -1328974288646287361/1000000000000000000000000000
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