#Density : 7845321129947056580274901043/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 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 :
20666353209301749529664341/31250000000000000000000000 -22607014684067470809838267/62500000000000000000000000 -109394015088742284169842539/250000000000000000000000000 -156506898865755523694197/500000000000000000000000 22812254437257287824209703/62500000000000000000000000 -5033236044318183341350803/12500000000000000000000000
-22607014684067470809838267/62500000000000000000000000 12364956404006750262244523/62500000000000000000000000 119666594314626665567364377/500000000000000000000000000 10700224070362780886546059/62500000000000000000000000 -2495442547716021936875863/12500000000000000000000000 550587904938470393603637/2500000000000000000000000
-109394015088742284169842539/250000000000000000000000000 119666594314626665567364377/500000000000000000000000000 57905961521308495956026341/200000000000000000000000000 103555510515700191027611527/500000000000000000000000000 -120752997925462450831336853/500000000000000000000000000 133213125267190790944351971/500000000000000000000000000
-156506898865755523694197/500000000000000000000000 10700224070362780886546059/62500000000000000000000000 103555510515700191027611527/500000000000000000000000000 10054056083323790564258159/62500000000000000000000000 -11461671481788161785099147/62500000000000000000000000 11911513798546777866647253/62500000000000000000000000
22812254437257287824209703/62500000000000000000000000 -2495442547716021936875863/12500000000000000000000000 -120752997925462450831336853/500000000000000000000000000 -11461671481788161785099147/62500000000000000000000000 13704809067394706657578763/62500000000000000000000000 -13889661630165965496157509/62500000000000000000000000
-5033236044318183341350803/12500000000000000000000000 550587904938470393603637/2500000000000000000000000 133213125267190790944351971/500000000000000000000000000 11911513798546777866647253/62500000000000000000000000 -13889661630165965496157509/62500000000000000000000000 15322892736115010869931553/62500000000000000000000000


--- 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 :
30645785429531286642655509/125000000000000000000000000 -49075095034661094379195221/250000000000000000000000000 -44216556700861374695364681/250000000000000000000000000 -63963367554432832830572673/250000000000000000000000000 55469623580606583010727277/250000000000000000000000000 -1067993203151152186668381/7812500000000000000000000
-49075095034661094379195221/250000000000000000000000000 78587150530011814660283157/500000000000000000000000000 70806856205070052576368057/500000000000000000000000000 102428712381634624253847441/500000000000000000000000000 -88827126164368649289983229/500000000000000000000000000 3420494349403884303598071/31250000000000000000000000
-44216556700861374695364681/250000000000000000000000000 70806856205070052576368057/500000000000000000000000000 63796827494474543198402307/500000000000000000000000000 92288052944573290988873391/500000000000000000000000000 -80033052566629573540525179/500000000000000000000000000 24654865322597297344521813/250000000000000000000000000
-63963367554432832830572673/250000000000000000000000000 102428712381634624253847441/500000000000000000000000000 92288052944573290988873391/500000000000000000000000000 133503264202879514743213683/500000000000000000000000000 -115775264737492450119190527/500000000000000000000000000 35665559013949553821066059/250000000000000000000000000
55469623580606583010727277/250000000000000000000000000 -88827126164368649289983229/500000000000000000000000000 -80033052566629573540525179/500000000000000000000000000 -115775264737492450119190527/500000000000000000000000000 100401379734558995988649563/500000000000000000000000000 -30929502448571198291625651/250000000000000000000000000
-1067993203151152186668381/7812500000000000000000000 3420494349403884303598071/31250000000000000000000000 24654865322597297344521813/250000000000000000000000000 35665559013949553821066059/250000000000000000000000000 -30929502448571198291625651/250000000000000000000000000 23639787885887165109266907/250000000000000000000000000


--- 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 4900769/500000000


--- 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 1755009/1000000000 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 :
832421/125000000


--- 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 :
2193774660289487253479246611/1000000000000000000000000000 17684113084577892976037723/40000000000000000000000000 -534763999605370547684880127/1000000000000000000000000000 257633155737739277865804631/500000000000000000000000000 -1589470906184195546101821449/1000000000000000000000000000 -1873611076420440673349107071/500000000000000000000000000 -135581587113155741539787263/250000000000000000000000000 59298175581470699697361427/40000000000000000000000000 61740195251341980992556717/100000000000000000000000000 390669598466258844503226989/500000000000000000000000000 -2220089004831469599328667721/1000000000000000000000000000 -1452724851958548317567036007/1000000000000000000000000000
17684113084577892976037723/40000000000000000000000000 3199695033563760151508146247/1000000000000000000000000000 -268998851716552491236546533/1000000000000000000000000000 -44407509720574118026408077/500000000000000000000000000 14722476740937935592596461/40000000000000000000000000 -38765039073104530250925451/500000000000000000000000000 -1394326061373548828565861719/250000000000000000000000000 -211437801511767072230758541/1000000000000000000000000000 1562131904803594961822531/50000000000000000000000000 95134022006912364939546099/500000000000000000000000000 -815102268793150277688633747/1000000000000000000000000000 54493952737339334448959123/200000000000000000000000000
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--- Term 9 ---

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

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

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

Matrix :
1040236075660142426992363249/500000000000000000000000000 313452653717214150165155223/500000000000000000000000000 588044894620092039693786613/500000000000000000000000000 -63884523583344132516640387/125000000000000000000000000
313452653717214150165155223/500000000000000000000000000 1037410816866496771417948521/500000000000000000000000000 309149109043299095663652381/500000000000000000000000000 15892338362062767673241769/50000000000000000000000000
588044894620092039693786613/500000000000000000000000000 309149109043299095663652381/500000000000000000000000000 527802293702767739993306693/250000000000000000000000000 -33573324319210991316881369/250000000000000000000000000
-63884523583344132516640387/125000000000000000000000000 15892338362062767673241769/50000000000000000000000000 -33573324319210991316881369/250000000000000000000000000 591419514783988574233041363/250000000000000000000000000


--- 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 :
64159640951339059936326883/200000000000000000000000000 210968184216952701280383311/500000000000000000000000000 -2069663968231715156801137/100000000000000000000000000 33382274679780265398212471/1000000000000000000000000000 115688126670669942028915781/500000000000000000000000000 -106860276283193266342467949/200000000000000000000000000 -60270589706066140290720687/1000000000000000000000000000 -164304155349507017563927041/200000000000000000000000000 -35331172277175588535537231/250000000000000000000000000 363427492153271108557218481/1000000000000000000000000000
210968184216952701280383311/500000000000000000000000000 1302489905490053366107028693/1000000000000000000000000000 -5444335376095199724145929/200000000000000000000000000 -132907823006621982010597901/500000000000000000000000000 68301365191915778213793279/500000000000000000000000000 -185000408557214475863494949/250000000000000000000000000 635663806486327430224441/50000000000000000000000000 -216104384232299501542434491/200000000000000000000000000 -38169817864283153969292591/125000000000000000000000000 243212593131392444875931213/500000000000000000000000000
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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 :
1570141130240675953880476091/1000000000000000000000000000 -62657117331147935495553527/250000000000000000000000000 52467420114361019431075343/100000000000000000000000000 -7141647956082636088171959/500000000000000000000000000 41520809343430642169504331/250000000000000000000000000 246020472944696128311575793/1000000000000000000000000000
-62657117331147935495553527/250000000000000000000000000 57316164664165921624352829/50000000000000000000000000 -9731217746092397535801073/250000000000000000000000000 895076486446976005306541/15625000000000000000000000 -1214089940547793460169097/7812500000000000000000000 -48998724646668492747472811/250000000000000000000000000
52467420114361019431075343/100000000000000000000000000 -9731217746092397535801073/250000000000000000000000000 105985139169993854968691201/50000000000000000000000000 981181122322098268415599/250000000000000000000000000 47415401613782900195690527/250000000000000000000000000 102781117568496532161877613/500000000000000000000000000
-7141647956082636088171959/500000000000000000000000000 895076486446976005306541/15625000000000000000000000 981181122322098268415599/250000000000000000000000000 49420939320315295825290183/250000000000000000000000000 -33303512193907397580756287/125000000000000000000000000 -2120140324316494629656413/20000000000000000000000000
41520809343430642169504331/250000000000000000000000000 -1214089940547793460169097/7812500000000000000000000 47415401613782900195690527/250000000000000000000000000 -33303512193907397580756287/125000000000000000000000000 10338130919166603328232461/10000000000000000000000000 145085465122023036087758509/250000000000000000000000000
246020472944696128311575793/1000000000000000000000000000 -48998724646668492747472811/250000000000000000000000000 102781117568496532161877613/500000000000000000000000000 -2120140324316494629656413/20000000000000000000000000 145085465122023036087758509/250000000000000000000000000 1159169581301040739722798803/1000000000000000000000000000


--- 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 :
170057844278407906503114299/500000000000000000000000000 0/1 -90096923184210468063881877/1000000000000000000000000000 -2292162194047402717177067/1000000000000000000000000000 0/1 -8390025396958845859365031/500000000000000000000000000 0/1 -1142977272492810069445193/200000000000000000000000000 -5552223473808445270417157/200000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-90096923184210468063881877/1000000000000000000000000000 0/1 457421834691063995176257463/1000000000000000000000000000 -3797296965100006413205969/250000000000000000000000000 0/1 -220968767168169224282697/25000000000000000000000000 0/1 -17253901164129218458524683/250000000000000000000000000 -3236430268979291415124043/200000000000000000000000000
-2292162194047402717177067/1000000000000000000000000000 0/1 -3797296965100006413205969/250000000000000000000000000 43632756453832373060253791/1000000000000000000000000000 0/1 -4017323820980862269170657/500000000000000000000000000 0/1 -18812907825819702040370597/1000000000000000000000000000 -219545081536333418087463/62500000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-8390025396958845859365031/500000000000000000000000000 0/1 -220968767168169224282697/25000000000000000000000000 -4017323820980862269170657/500000000000000000000000000 0/1 38413999225023140830471937/500000000000000000000000000 0/1 -514143471762668987188109/200000000000000000000000000 -4906101690236181541035277/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-1142977272492810069445193/200000000000000000000000000 0/1 -17253901164129218458524683/250000000000000000000000000 -18812907825819702040370597/1000000000000000000000000000 0/1 -514143471762668987188109/200000000000000000000000000 0/1 6036866768985223107401521/50000000000000000000000000 -17299867101290944800337887/1000000000000000000000000000
-5552223473808445270417157/200000000000000000000000000 0/1 -3236430268979291415124043/200000000000000000000000000 -219545081536333418087463/62500000000000000000000000 0/1 -4906101690236181541035277/1000000000000000000000000000 0/1 -17299867101290944800337887/1000000000000000000000000000 83314016909849459269341553/500000000000000000000000000


--- 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 531409497709968874478069417/500000000000000000000000000 -1133479189514064262938627/31250000000000000000000000 36271333098125946761339911/1000000000000000000000000000 -3627133366910779728261879/100000000000000000000000000 -298164717106927091/1000000000000000000000000000 27375219440220447003080609/200000000000000000000000000
0/1 -1133479189514064262938627/31250000000000000000000000 43452902778113919424951587/31250000000000000000000000 -549841281264819795687419763/1000000000000000000000000000 -154778333273094030596939073/250000000000000000000000000 -2966649587526459405223191/200000000000000000000000000 201350786878518745256908657/1000000000000000000000000000
0/1 36271333098125946761339911/1000000000000000000000000000 -549841281264819795687419763/1000000000000000000000000000 1390492887892960873919550337/1000000000000000000000000000 -221538276308626362990987061/1000000000000000000000000000 14833248330449462340427639/1000000000000000000000000000 -8054031471242193596876001/40000000000000000000000000
0/1 -3627133366910779728261879/100000000000000000000000000 -154778333273094030596939073/250000000000000000000000000 -221538276308626362990987061/1000000000000000000000000000 69524644437095986407168573/50000000000000000000000000 14833247580355064674430271/1000000000000000000000000000 201350788902153165646969119/1000000000000000000000000000
0/1 -298164717106927091/1000000000000000000000000000 -2966649587526459405223191/200000000000000000000000000 14833248330449462340427639/1000000000000000000000000000 14833247580355064674430271/1000000000000000000000000000 19809844088825923014135749/200000000000000000000000000 -91794508282212299/1000000000000000000000000000
0/1 27375219440220447003080609/200000000000000000000000000 201350786878518745256908657/1000000000000000000000000000 -8054031471242193596876001/40000000000000000000000000 201350788902153165646969119/1000000000000000000000000000 -91794508282212299/1000000000000000000000000000 678411488019308007769847177/1000000000000000000000000000


--- 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 :
500739848931408726652926457/200000000000000000000000000 -136464267512256624699747143/1000000000000000000000000000 65023421163654993389561571/250000000000000000000000000 13869371013277505381708983/250000000000000000000000000 -1387381707555748656362648921/500000000000000000000000000 -223547024106023140779818131/1000000000000000000000000000 1194788635751204758878454581/1000000000000000000000000000 64832515904386885111902563/1000000000000000000000000000 -1198462688036015565968657249/1000000000000000000000000000 43608462675805563445427863/200000000000000000000000000 -848708739543439716119872963/500000000000000000000000000 77111183017435058784221109/1000000000000000000000000000
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65023421163654993389561571/250000000000000000000000000 -30294432347700769216221081/500000000000000000000000000 959703934564869614920165489/1000000000000000000000000000 9473495419968824592390463/250000000000000000000000000 -634432552428380383007355849/500000000000000000000000000 -38688158951275888050442597/500000000000000000000000000 551814043580334041529469181/1000000000000000000000000000 20192649150335721135659/200000000000000000000000 -61301689573375572019110897/100000000000000000000000000 960483144462143229840951/200000000000000000000000000 -761804227835229002515423607/1000000000000000000000000000 15681873096284702557971223/1000000000000000000000000000
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43608462675805563445427863/200000000000000000000000000 -163056918742263904003259/5000000000000000000000000 960483144462143229840951/200000000000000000000000000 -36370097234095941681224183/1000000000000000000000000000 -554498243213275046307284751/1000000000000000000000000000 -2486749737143950851257403/100000000000000000000000000 240897286947053754903972223/1000000000000000000000000000 -28515785291956572064825529/500000000000000000000000000 -65735072519351953883377437/250000000000000000000000000 13421122058561659797278501/50000000000000000000000000 -33071628206259690974051387/100000000000000000000000000 21295765372857282872320753/1000000000000000000000000000
-848708739543439716119872963/500000000000000000000000000 82699262890056291978681681/500000000000000000000000000 -761804227835229002515423607/1000000000000000000000000000 -83270972573403466023478879/1000000000000000000000000000 199193720138410812978445813/50000000000000000000000000 105809871153234819894397323/1000000000000000000000000000 -34968262094663318317718831/20000000000000000000000000 -111867339232919592051869973/500000000000000000000000000 1751541099594376074683107001/1000000000000000000000000000 -33071628206259690974051387/100000000000000000000000000 1413937843957228662223506069/500000000000000000000000000 -247322184054389634205975533/1000000000000000000000000000
77111183017435058784221109/1000000000000000000000000000 -11147716134302018171891207/500000000000000000000000000 15681873096284702557971223/1000000000000000000000000000 1449283198830073780967967/250000000000000000000000000 -285994101407286981218066053/1000000000000000000000000000 -19814227232114230611505757/1000000000000000000000000000 122848993249956441679204259/1000000000000000000000000000 -81942879412642759816417841/1000000000000000000000000000 -33360981701327494963826881/200000000000000000000000000 21295765372857282872320753/1000000000000000000000000000 -247322184054389634205975533/1000000000000000000000000000 64706953069632481194975297/200000000000000000000000000


--- 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 :
37756177767183698321025607/12500000000000000000000000 363665114691114320032293/5000000000000000000000000 1259695080576455347792209/5000000000000000000000000 11389072734118543244894833/50000000000000000000000000
363665114691114320032293/5000000000000000000000000 5649677576417642862501187/50000000000000000000000000 11155412191998726056522973/50000000000000000000000000 32263620857335400639760449/100000000000000000000000000
1259695080576455347792209/5000000000000000000000000 11155412191998726056522973/50000000000000000000000000 12972609065022960514584627/12500000000000000000000000 61151655119189312746702077/100000000000000000000000000
11389072734118543244894833/50000000000000000000000000 32263620857335400639760449/100000000000000000000000000 61151655119189312746702077/100000000000000000000000000 249168175036961369115981601/200000000000000000000000000


--- 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 10244453490840377577891899/250000000000000000000000000 -117800133135121768326843/50000000000000000000000000 -2059727123619876741389761/250000000000000000000000000 -2704636421809470039836627/250000000000000000000000000 0/1
0/1 -117800133135121768326843/50000000000000000000000000 1015042850749057124338469/40000000000000000000000000 -606315254585785604639833/250000000000000000000000000 -7246866048079766711605789/1000000000000000000000000000 0/1
0/1 -2059727123619876741389761/250000000000000000000000000 -606315254585785604639833/250000000000000000000000000 47496297797266208010960571/250000000000000000000000000 -14695021028366648737730403/500000000000000000000000000 0/1
0/1 -2704636421809470039836627/250000000000000000000000000 -7246866048079766711605789/1000000000000000000000000000 -14695021028366648737730403/500000000000000000000000000 361398191435881731916639/10000000000000000000000000 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 :
158684122347216290069349397/1000000000000000000000000000 -70711887663634593717055787/1000000000000000000000000000 -21993058806467861316128749/500000000000000000000000000 -286790312116204297617437/62500000000000000000000000 4588644989875911073572433/1000000000000000000000000000 -4588645074045237975764563/1000000000000000000000000000 8506458786562914172466427/1000000000000000000000000000 -2536445974570301131945401/1000000000000000000000000000 -268267120245996144150997/20000000000000000000000000 3987450495446739090121037/500000000000000000000000000
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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 :
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 11152893078099946260642021/62500000000000000000000000 -1920842832606895607403819/31250000000000000000000000 0/1
0/1 0/1 0/1 -1920842832606895607403819/31250000000000000000000000 8559804126642534593013061/62500000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- 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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