#Density : 962190180164016577672036961/4000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 9, 10, 12, 15}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
579676374062291288771/244140625000000000000000 -4522961530318113391369/3906250000000000000000000 -11652469143948701375257/7812500000000000000000000 116322781299266553750981/7812500000000000000000000 -19063345984118134763251/1953125000000000000000000 8728476395248723581433/1953125000000000000000000
-4522961530318113391369/3906250000000000000000000 35290693083412206496091/62500000000000000000000000 90919126653306290378123/125000000000000000000000000 -907615849908095984060559/125000000000000000000000000 148742961389082297480089/31250000000000000000000000 -68104488505093672159787/31250000000000000000000000
-11652469143948701375257/7812500000000000000000000 90919126653306290378123/125000000000000000000000000 234234209338477939551419/250000000000000000000000000 -2338283360298451398819327/250000000000000000000000000 383205286259406192053417/62500000000000000000000000 -175457041929383334910811/62500000000000000000000000
116322781299266553750981/7812500000000000000000000 -907615849908095984060559/125000000000000000000000000 -2338283360298451398819327/250000000000000000000000000 23342316600508844769330291/250000000000000000000000000 -3825412807844632339530261/62500000000000000000000000 1751530157568958801759263/62500000000000000000000000
-19063345984118134763251/1953125000000000000000000 148742961389082297480089/31250000000000000000000000 383205286259406192053417/62500000000000000000000000 -3825412807844632339530261/62500000000000000000000000 626920772298270885060131/15625000000000000000000000 -287046312187555539630473/15625000000000000000000000
8728476395248723581433/1953125000000000000000000 -68104488505093672159787/31250000000000000000000000 -175457041929383334910811/62500000000000000000000000 1751530157568958801759263/62500000000000000000000000 -287046312187555539630473/15625000000000000000000000 131429024178631210776059/15625000000000000000000000


--- 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 :
877092603087374090224413/31250000000000000000000000 -4686224320063604144046513/31250000000000000000000000 23523566232923287171648983/125000000000000000000000000 -12312901124732811395916057/62500000000000000000000000 1450700000974930599714957/12500000000000000000000000 185695092928386636781023/7812500000000000000000000
-4686224320063604144046513/31250000000000000000000000 25038061318330273439438613/31250000000000000000000000 -125684229678049792092040083/125000000000000000000000000 65786687173228108801692957/62500000000000000000000000 -7750955374329820159621857/12500000000000000000000000 -992151635453694627240123/7812500000000000000000000
23523566232923287171648983/125000000000000000000000000 -125684229678049792092040083/125000000000000000000000000 630900507388732742324270853/500000000000000000000000000 -330231202620499439939939787/250000000000000000000000000 38907679117248391808859687/50000000000000000000000000 4980330243640871243678493/31250000000000000000000000
-12312901124732811395916057/62500000000000000000000000 65786687173228108801692957/62500000000000000000000000 -330231202620499439939939787/250000000000000000000000000 172852368807793620658012773/125000000000000000000000000 -20365381729111112876604873/25000000000000000000000000 -2606845971026305596055347/15625000000000000000000000
1450700000974930599714957/12500000000000000000000000 -7750955374329820159621857/12500000000000000000000000 38907679117248391808859687/50000000000000000000000000 -20365381729111112876604873/25000000000000000000000000 2399439335619405302366973/5000000000000000000000000 307137319986512847587247/3125000000000000000000000
185695092928386636781023/7812500000000000000000000 -992151635453694627240123/7812500000000000000000000 4980330243640871243678493/31250000000000000000000000 -2606845971026305596055347/15625000000000000000000000 307137319986512847587247/3125000000000000000000000 39314739876157704969333/1953125000000000000000000


--- 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 :
3817243311101812752806380607/1000000000000000000000000000 -38393304158883218773628491/200000000000000000000000000 -2034230635991061809659607/1000000000000000000000000000 10881531715326732025948139/1000000000000000000000000000 -432059755478579512181109863/250000000000000000000000000 3964112036480688338368648669/1000000000000000000000000000 20246752154231256586739911/200000000000000000000000000 -5929059963082922208879656701/1000000000000000000000000000 -9531104977444093220801959/1000000000000000000000000000 35595749585691854542736141/31250000000000000000000000 -2148520636715788151746607483/1000000000000000000000000000 1410098107866749993885407843/1000000000000000000000000000
-38393304158883218773628491/200000000000000000000000000 991909241556411914515078037/250000000000000000000000000 328890980924706036013571403/250000000000000000000000000 -4030164998302433503918090263/1000000000000000000000000000 -728770071227550861944102017/250000000000000000000000000 -4535238549806422792504524393/1000000000000000000000000000 335541010969777755248372501/500000000000000000000000000 3105714145546357735803431259/1000000000000000000000000000 32248089138239670994217509/31250000000000000000000000 121929299762613851339771209/250000000000000000000000000 -547951087457719409691909/976562500000000000000000 -205237128383043658016312631/100000000000000000000000000
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1410098107866749993885407843/1000000000000000000000000000 -205237128383043658016312631/100000000000000000000000000 -284529417326094237984372947/500000000000000000000000000 1744889171356467248670673699/1000000000000000000000000000 908551003388587891821908457/1000000000000000000000000000 740060605609378919430823477/200000000000000000000000000 -429330069597264221637473157/1000000000000000000000000000 -72700137295314425645594559/20000000000000000000000000 -44911443626346870346016409/100000000000000000000000000 4180073857822763685130569/20000000000000000000000000 -249741562810507346724554229/500000000000000000000000000 307488555358889957734015931/200000000000000000000000000


--- 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 :
2323340878701025484891016593/1000000000000000000000000000 -1229850404259959724082131403/500000000000000000000000000 521484646605904313271680429/250000000000000000000000000 1389072371324671556687731383/1000000000000000000000000000
-1229850404259959724082131403/500000000000000000000000000 162753992615155929513785003/62500000000000000000000000 -552091265920659817843410029/250000000000000000000000000 -367649713998292295759049327/250000000000000000000000000
521484646605904313271680429/250000000000000000000000000 -552091265920659817843410029/250000000000000000000000000 468198599936363055573310127/250000000000000000000000000 623567485851977077128128427/500000000000000000000000000
1389072371324671556687731383/1000000000000000000000000000 -367649713998292295759049327/250000000000000000000000000 623567485851977077128128427/500000000000000000000000000 910820847821067716222364963/250000000000000000000000000


--- 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 :
53131389630788733062960129/20000000000000000000000000 -1922634157954122783649187/3906250000000000000000000 -6937068803391489307444189/6250000000000000000000000 65282980134712429282536193/31250000000000000000000000 145992277901027024015776707/1000000000000000000000000000 -109494349592802176404168693/200000000000000000000000000 -1408234985939577245238633903/500000000000000000000000000 2193386600829709012995109417/1000000000000000000000000000 -1011751670723745975878283443/1000000000000000000000000000 -582362447381647662190093459/250000000000000000000000000
-1922634157954122783649187/3906250000000000000000000 87700773544398082596104067/500000000000000000000000000 166696383665612000378109337/500000000000000000000000000 -344532011630148974361687883/500000000000000000000000000 -5905416664538144048463843/62500000000000000000000000 12040070515535767838214529/25000000000000000000000000 1087943801906185801556609/1953125000000000000000000 -340246320804556355177090709/500000000000000000000000000 17672658126046667366792507/50000000000000000000000000 242854955019936514947948603/500000000000000000000000000
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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 :
11778780993218161406889/50000000000000000000000000 164895792696513982457529/100000000000000000000000000 -3001966711086838810007849/250000000000000000000000000 1023718015592947283160603/100000000000000000000000000 -495650688048777913435321/31250000000000000000000000 -634249392289767421438687/20000000000000000000000000
164895792696513982457529/100000000000000000000000000 5811686017959190775415537/500000000000000000000000000 -9411644323164017912616409/100000000000000000000000000 44333195108044248995987407/500000000000000000000000000 -13992373897463827313856661/125000000000000000000000000 -7242931061870339276889829/31250000000000000000000000
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1023718015592947283160603/100000000000000000000000000 44333195108044248995987407/500000000000000000000000000 -2926468592238954528479343429/1000000000000000000000000000 4781871249210681036520490573/1000000000000000000000000000 -27551056534935107260121383/31250000000000000000000000 -428871572650065255613563207/125000000000000000000000000
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-634249392289767421438687/20000000000000000000000000 -7242931061870339276889829/31250000000000000000000000 1415613253561308867029668841/500000000000000000000000000 -428871572650065255613563207/125000000000000000000000000 56148396834357710095382793/25000000000000000000000000 2725673509599349114000296011/500000000000000000000000000


--- 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 :
125457550142417920411233/62500000000000000000000000 6575224832672774138757/15625000000000000000000000 359503292097717566138607/125000000000000000000000000 54819084111382867465479/125000000000000000000000000 497515321539629505417/31250000000000000000000000 405992948106666339476757/125000000000000000000000000 -92071498379013870574113/125000000000000000000000000 -1253999894026013875328337/62500000000000000000000000 -167535837765796992551109/125000000000000000000000000
6575224832672774138757/15625000000000000000000000 344607252023640373161/3906250000000000000000000 18841552150071093753039/31250000000000000000000000 114922638310893709371/1250000000000000000000000 407418073522308843/122070312500000000000000 21278073031480389488049/31250000000000000000000000 -4825463288864246351877/31250000000000000000000000 -65722080767629142244621/15625000000000000000000000 -1756109217165166149621/6250000000000000000000000
359503292097717566138607/125000000000000000000000000 18841552150071093753039/31250000000000000000000000 6438563127646669835499/1562500000000000000000000 157086130564548973454169/250000000000000000000000000 5702594885983773022809/250000000000000000000000000 232677588948799123328157/50000000000000000000000000 -263834314778587804731327/250000000000000000000000000 -3593383496495657174664489/125000000000000000000000000 -480080195674003796695959/250000000000000000000000000
54819084111382867465479/125000000000000000000000000 114922638310893709371/1250000000000000000000000 157086130564548973454169/250000000000000000000000000 1748617041811903190272209/250000000000000000000000000 217390936743496454403/62500000000000000000000000 177399936809982554281299/250000000000000000000000000 -40230940853249909275719/250000000000000000000000000 -109587864919330773786507/25000000000000000000000000 -73205328761892755179779/250000000000000000000000000
497515321539629505417/31250000000000000000000000 407418073522308843/122070312500000000000000 5702594885983773022809/250000000000000000000000000 217390936743496454403/62500000000000000000000000 6313440551279950203/50000000000000000000000000 3220016840609690988027/125000000000000000000000000 -365119365623440134837/62500000000000000000000000 -9945741165498413305809/62500000000000000000000000 -332190633807379055139/31250000000000000000000000
405992948106666339476757/125000000000000000000000000 21278073031480389488049/31250000000000000000000000 232677588948799123328157/50000000000000000000000000 177399936809982554281299/250000000000000000000000000 3220016840609690988027/125000000000000000000000000 262766607071840472941361/50000000000000000000000000 -297952407177250234095477/250000000000000000000000000 -4058066759020298991995049/125000000000000000000000000 -542162417573453690708289/250000000000000000000000000
-92071498379013870574113/125000000000000000000000000 -4825463288864246351877/31250000000000000000000000 -263834314778587804731327/250000000000000000000000000 -40230940853249909275719/250000000000000000000000000 -365119365623440134837/62500000000000000000000000 -297952407177250234095477/250000000000000000000000000 67569953375732122733793/250000000000000000000000000 920292553768454351398257/125000000000000000000000000 122952150729627025150149/250000000000000000000000000
-1253999894026013875328337/62500000000000000000000000 -65722080767629142244621/15625000000000000000000000 -3593383496495657174664489/125000000000000000000000000 -109587864919330773786507/25000000000000000000000000 -9945741165498413305809/62500000000000000000000000 -4058066759020298991995049/125000000000000000000000000 920292553768454351398257/125000000000000000000000000 12534245507202658201135581/62500000000000000000000000 334917942467993831331993/25000000000000000000000000
-167535837765796992551109/125000000000000000000000000 -1756109217165166149621/6250000000000000000000000 -480080195674003796695959/250000000000000000000000000 -73205328761892755179779/250000000000000000000000000 -332190633807379055139/31250000000000000000000000 -542162417573453690708289/250000000000000000000000000 122952150729627025150149/250000000000000000000000000 334917942467993831331993/25000000000000000000000000 223727124465802959015849/250000000000000000000000000


--- 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 840539943652073186697121/500000000000000000000000000 -13583583547075527049661441/1000000000000000000000000000 679179166853444175428549/50000000000000000000000000 -1697947922493775056930373/125000000000000000000000000 0/1 -5957658923664597519557183/250000000000000000000000000
0/1 -13583583547075527049661441/1000000000000000000000000000 1487921756100632383597368729/1000000000000000000000000000 16920589854090424450798787/1000000000000000000000000000 -16116874053904758622514059/500000000000000000000000000 0/1 192558038163650371260684827/1000000000000000000000000000
0/1 679179166853444175428549/50000000000000000000000000 16920589854090424450798787/1000000000000000000000000000 743960876788919590490756741/500000000000000000000000000 -73630429700605258372242381/50000000000000000000000000 0/1 -96279017911684005395832159/500000000000000000000000000
0/1 -1697947922493775056930373/125000000000000000000000000 -16116874053904758622514059/500000000000000000000000000 -73630429700605258372242381/50000000000000000000000000 92995109581957588486524023/62500000000000000000000000 0/1 48139509021520586578381291/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 -5957658923664597519557183/250000000000000000000000000 192558038163650371260684827/1000000000000000000000000000 -96279017911684005395832159/500000000000000000000000000 48139509021520586578381291/250000000000000000000000000 0/1 168909045281076707427875759/500000000000000000000000000


--- 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 :
24716504243628685966713229/250000000000000000000000000 15515047678251364577543887/200000000000000000000000000 102542843330939345581845017/1000000000000000000000000000 10687570113237817972568837/200000000000000000000000000 446508729290192484140663617/500000000000000000000000000 -256426568827274932484699109/1000000000000000000000000000 -238728338278962137580233141/1000000000000000000000000000 -151518197478974303877543387/500000000000000000000000000 -240633949002248666193041/7812500000000000000000000 -44749342609754787819432919/200000000000000000000000000 562865476343400716130712667/1000000000000000000000000000 -128416124478895249404663937/500000000000000000000000000
15515047678251364577543887/200000000000000000000000000 38226993481020328783723097/100000000000000000000000000 137375738864978680464377499/500000000000000000000000000 15645766723839090742390331/500000000000000000000000000 -282349117856179977994259143/500000000000000000000000000 -309480662281812353368167439/1000000000000000000000000000 295263570953497949430921863/1000000000000000000000000000 5926457692996546339580317/125000000000000000000000000 -3651629826120524777189479/250000000000000000000000000 -31590283041166452886041707/125000000000000000000000000 -295665841407915514253275037/1000000000000000000000000000 -113734814539860331063222167/250000000000000000000000000
102542843330939345581845017/1000000000000000000000000000 137375738864978680464377499/500000000000000000000000000 627537348613827823087049651/1000000000000000000000000000 23894583523417852630368531/500000000000000000000000000 3590660030465828510209259/200000000000000000000000000 -1074001561733808224175439/3125000000000000000000000 24694601450800894843626323/250000000000000000000000000 -109604683583952770857121693/1000000000000000000000000000 -6270890250584326431593277/250000000000000000000000000 -287450897665075490114116711/1000000000000000000000000000 2812347935278473859207021/100000000000000000000000000 -224139649337818708517999797/500000000000000000000000000
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-128416124478895249404663937/500000000000000000000000000 -113734814539860331063222167/250000000000000000000000000 -224139649337818708517999797/500000000000000000000000000 -32322815243115415004869587/250000000000000000000000000 -118647961005609360241332229/100000000000000000000000000 38155954634789964668545927/50000000000000000000000000 46982545096100462274716899/250000000000000000000000000 265893452920146420342697039/500000000000000000000000000 8931323777251184632253769/125000000000000000000000000 325177106147236401337930517/500000000000000000000000000 -100727437552562571135593021/125000000000000000000000000 223542665098040537487450179/250000000000000000000000000


--- 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 :
571920677821350864601231793/250000000000000000000000000 147827844905315441967834567/500000000000000000000000000 1417852767871631847432339843/500000000000000000000000000 325072189841332143725772153/500000000000000000000000000
147827844905315441967834567/500000000000000000000000000 72361499642631975002491743/1000000000000000000000000000 694036719527032383519221787/1000000000000000000000000000 159122330157648534065485737/1000000000000000000000000000
1417852767871631847432339843/500000000000000000000000000 694036719527032383519221787/1000000000000000000000000000 6656674757028631590049355463/1000000000000000000000000000 1526180919017986402947278733/1000000000000000000000000000
325072189841332143725772153/500000000000000000000000000 159122330157648534065485737/1000000000000000000000000000 1526180919017986402947278733/1000000000000000000000000000 349908668005028554743137583/1000000000000000000000000000


--- 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 :
3521000592573518340504259/100000000000000000000000000 5813739147923707761136297/100000000000000000000000000 9600144482056683400529133/500000000000000000000000000 -41350853393806812515099503/250000000000000000000000000 -11287357389858421600157453/125000000000000000000000000 -4520374136891253692990911/50000000000000000000000000
5813739147923707761136297/100000000000000000000000000 1919883964313473550685049/20000000000000000000000000 3170276990419777929178033/100000000000000000000000000 -27310767931443791331085187/100000000000000000000000000 -7454898096005439593081173/50000000000000000000000000 -3731932925307764218917233/25000000000000000000000000
9600144482056683400529133/500000000000000000000000000 3170276990419777929178033/100000000000000000000000000 355464742287343649749673/20000000000000000000000000 -45097881309332021662468049/500000000000000000000000000 -12310166830251799894283143/250000000000000000000000000 -3081243788990447559791661/62500000000000000000000000
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-11287357389858421600157453/125000000000000000000000000 -7454898096005439593081173/50000000000000000000000000 -12310166830251799894283143/250000000000000000000000000 212095101200942825073165043/500000000000000000000000000 57894650567279083334544989/250000000000000000000000000 57964294043667096581759531/250000000000000000000000000
-4520374136891253692990911/50000000000000000000000000 -3731932925307764218917233/25000000000000000000000000 -3081243788990447559791661/62500000000000000000000000 212350237729581784384215061/500000000000000000000000000 57964294043667096581759531/250000000000000000000000000 2321360851864007777813827/10000000000000000000000000


--- 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 :
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 34005477/500000000 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 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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