#Density : 16089206669970026698844033197/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 8, 9, 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 :
1451565412113515754714449/50000000000000000000000000 -1421772477887079131776767/250000000000000000000000000 16034077985408470944867141/250000000000000000000000000 -38715266685973074708627403/500000000000000000000000000 248758008044699524963221/31250000000000000000000000 10144926420777396783943079/250000000000000000000000000
-1421772477887079131776767/250000000000000000000000000 565234321622008842144369189/1000000000000000000000000000 -17285678219891333621463381/1000000000000000000000000000 -112181289305164992858564297/1000000000000000000000000000 -905038369947889181538886737/1000000000000000000000000000 -70895722613136871754005191/1000000000000000000000000000
16034077985408470944867141/250000000000000000000000000 -17285678219891333621463381/1000000000000000000000000000 5669208993036760752307293/40000000000000000000000000 -169994539707452466975981747/1000000000000000000000000000 25148020081272689530795257/1000000000000000000000000000 90176030689948611050808711/1000000000000000000000000000
-38715266685973074708627403/500000000000000000000000000 -112181289305164992858564297/1000000000000000000000000000 -169994539707452466975981747/1000000000000000000000000000 117633509059725049801546703/500000000000000000000000000 182728316142380997523882011/1000000000000000000000000000 -94021640381403756071315377/1000000000000000000000000000
248758008044699524963221/31250000000000000000000000 -905038369947889181538886737/1000000000000000000000000000 25148020081272689530795257/1000000000000000000000000000 182728316142380997523882011/1000000000000000000000000000 1449169007734122809636851377/1000000000000000000000000000 111939878969607480615957651/1000000000000000000000000000
10144926420777396783943079/250000000000000000000000000 -70895722613136871754005191/1000000000000000000000000000 90176030689948611050808711/1000000000000000000000000000 -94021640381403756071315377/1000000000000000000000000000 111939878969607480615957651/1000000000000000000000000000 63745711331585123338980013/1000000000000000000000000000


--- Term 2 ---

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

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

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

Matrix :
10806253885456114932009/78125000000000000000000 46170162326310036486603/1562500000000000000000000 -9338721936666979731819/156250000000000000000000 -102925301356042983886953/781250000000000000000000 5860631276540254020069/195312500000000000000000 -46069357351099051896327/1562500000000000000000000
46170162326310036486603/1562500000000000000000000 197263909568773155416401/31250000000000000000000000 -39900071968185843853873/3125000000000000000000000 -439752565640586499539851/15625000000000000000000000 25039787167751899666623/3906250000000000000000000 -196833216183431286579909/31250000000000000000000000
-9338721936666979731819/156250000000000000000000 -39900071968185843853873/3125000000000000000000000 8070486621433288224529/312500000000000000000000 88947639006092804135723/1562500000000000000000000 -5064734407045904205279/390625000000000000000000 39812956706661682622757/3125000000000000000000000
-102925301356042983886953/781250000000000000000000 -439752565640586499539851/15625000000000000000000000 88947639006092804135723/1562500000000000000000000 980322854850742182565801/7812500000000000000000000 -55820198809728048935973/1953125000000000000000000 438792438055046147125959/15625000000000000000000000
5860631276540254020069/195312500000000000000000 25039787167751899666623/3906250000000000000000000 -5064734407045904205279/390625000000000000000000 -55820198809728048935973/1953125000000000000000000 3178437164593057748529/488281250000000000000000 -24985116900255456762507/3906250000000000000000000
-46069357351099051896327/1562500000000000000000000 -196833216183431286579909/31250000000000000000000000 39812956706661682622757/3125000000000000000000000 438792438055046147125959/15625000000000000000000000 -24985116900255456762507/3906250000000000000000000 196403463146440936999881/31250000000000000000000000


--- 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 :
608022803544978320629953889/1000000000000000000000000000 337421777685065364158432773/1000000000000000000000000000 405487087867608144452726033/1000000000000000000000000000 694313869502217120846181381/1000000000000000000000000000 206343791165527858266213067/1000000000000000000000000000 817610420407714407628507421/1000000000000000000000000000 -847875512603988935374900771/1000000000000000000000000000 -131317810977361096189411327/200000000000000000000000000 -1021294888375965114241688677/1000000000000000000000000000 7995483176274329103641881/50000000000000000000000000 -78802398939277606463222929/500000000000000000000000000 290089530965869150630308737/1000000000000000000000000000
337421777685065364158432773/1000000000000000000000000000 607909058075558865649759491/1000000000000000000000000000 74185302544518316163143951/200000000000000000000000000 560429550751279619613204443/1000000000000000000000000000 588221303483630407335053891/1000000000000000000000000000 2163829990014053905767569807/1000000000000000000000000000 -2055870382170805167036357089/1000000000000000000000000000 -936321248682832163695777777/1000000000000000000000000000 -2138778067067037981933817367/1000000000000000000000000000 568445253878264992639108829/500000000000000000000000000 69538015431444425098171649/500000000000000000000000000 604230900524750697054756563/1000000000000000000000000000
405487087867608144452726033/1000000000000000000000000000 74185302544518316163143951/200000000000000000000000000 64981919277103487843701391/200000000000000000000000000 548778746835240857442494099/1000000000000000000000000000 292819791918341410095274703/1000000000000000000000000000 1119399854285728895814515503/1000000000000000000000000000 -1095121562552457639601479329/1000000000000000000000000000 -122529887027547669899510381/200000000000000000000000000 -1209318809818082055780646967/1000000000000000000000000000 223847965207364652168096047/500000000000000000000000000 -18532310729019711091865159/500000000000000000000000000 342820645176247946773407907/1000000000000000000000000000
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290089530965869150630308737/1000000000000000000000000000 604230900524750697054756563/1000000000000000000000000000 342820645176247946773407907/1000000000000000000000000000 487642718993072479318676951/1000000000000000000000000000 607829087543550022099905707/1000000000000000000000000000 2213389123460559751467758419/1000000000000000000000000000 -2097715195285812963010123397/1000000000000000000000000000 -942482898914003235125752117/1000000000000000000000000000 -2162840969193522058253134847/1000000000000000000000000000 603018126197888439819463631/500000000000000000000000000 87681316913784530709666919/500000000000000000000000000 610374008238508394385716083/1000000000000000000000000000


--- 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 :
14516848403906443967869051/40000000000000000000000000 101512560879532025327377/195312500000000000000000 273046248779895902133537193/200000000000000000000000000 -56280923450829921198494239/40000000000000000000000000
101512560879532025327377/195312500000000000000000 709851045461610140179/953674316406250000000 1909341696007398782613211/976562500000000000000000 -393557920369357997251453/195312500000000000000000
273046248779895902133537193/200000000000000000000000000 1909341696007398782613211/976562500000000000000000 5135705209452380847918323299/1000000000000000000000000000 -1058583419661686845386804277/200000000000000000000000000
-56280923450829921198494239/40000000000000000000000000 -393557920369357997251453/195312500000000000000000 -1058583419661686845386804277/200000000000000000000000000 218197659460699502433411571/40000000000000000000000000


--- 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 :
85104097130185658006293503/25000000000000000000000000 404080781338934467355831049/500000000000000000000000000 1121141952151964519204787081/500000000000000000000000000 13253602738852346201112471/7812500000000000000000000 565491795379767313717478943/250000000000000000000000000 -1328153220930062629533275151/500000000000000000000000000 51477470231205740345406963/500000000000000000000000000 -1609254455200014377992233759/500000000000000000000000000 -33954864083577073768962981/31250000000000000000000000 -420494574995523261073256031/500000000000000000000000000
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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 :
26747863222625687343811147/500000000000000000000000000 -12060401956995388942178401/62500000000000000000000000 11168372512463949001332411/100000000000000000000000000 4577696851489508249403329/20000000000000000000000000 12115920569323175146552757/500000000000000000000000000 -7269468206807869234529299/62500000000000000000000000
-12060401956995388942178401/62500000000000000000000000 1776476145199835567475797451/250000000000000000000000000 160787526963622008154938091/50000000000000000000000000 -856736046864283016524877/1562500000000000000000000 346540588906370339578332001/250000000000000000000000000 -434862960729757821283977991/250000000000000000000000000
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--- 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 :
1348737435526149873046243161/1000000000000000000000000000 144332558142991185299620731/250000000000000000000000000 18599930256046401281573043/100000000000000000000000000 -18486109898961238683813837/250000000000000000000000000 -220215965270862204629018859/250000000000000000000000000 -513112826787404302707754557/1000000000000000000000000000 89618290368359659173230097/200000000000000000000000000 -259621086692861374669259121/1000000000000000000000000000 -244645536166878503538995133/500000000000000000000000000
144332558142991185299620731/250000000000000000000000000 30891253506221653158697753/125000000000000000000000000 4976850485870288861426927/62500000000000000000000000 -791049152726686621897347/25000000000000000000000000 -5893168144924076657324333/15625000000000000000000000 -55011439856381788762533251/250000000000000000000000000 1921129049023099661587293/10000000000000000000000000 -44426416260886598398387/400000000000000000000000 -26226312998586764058590807/125000000000000000000000000
18599930256046401281573043/100000000000000000000000000 4976850485870288861426927/62500000000000000000000000 6427642040287983101317367/250000000000000000000000000 -634211749939027405923057/62500000000000000000000000 -15250586498700999359713639/125000000000000000000000000 -36384900014892468538507267/500000000000000000000000000 6330752796544897597937739/100000000000000000000000000 -17740227556258763377430567/500000000000000000000000000 -17323867557444598139685787/250000000000000000000000000
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-220215965270862204629018859/250000000000000000000000000 -5893168144924076657324333/15625000000000000000000000 -15250586498700999359713639/125000000000000000000000000 747717303045633597548959/15625000000000000000000000 36245877204991932849257119/62500000000000000000000000 88190100796674942448292527/250000000000000000000000000 -15297103550795579944936351/50000000000000000000000000 41680530513332136685299123/250000000000000000000000000 41942550058934169952234231/125000000000000000000000000
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--- 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 :
812952129140361338231447/10000000000000000000000000 -8681333278142469/1000000000000000000000000000 -135883360071014842380397797/1000000000000000000000000000 33970839946993224017212607/250000000000000000000000000 135883360611693361985193401/1000000000000000000000000000 -310325259685780058495612069/1000000000000000000000000000 -23032392222267209/200000000000000000000000000
-8681333278142469/1000000000000000000000000000 183278110778105090162472591/1000000000000000000000000000 54676739910275692618695039/200000000000000000000000000 -273383699780385241513479411/1000000000000000000000000000 68345924845033412041494821/250000000000000000000000000 14940230129202929/40000000000000000000000000 65711217281379904351676779/250000000000000000000000000
-135883360071014842380397797/1000000000000000000000000000 54676739910275692618695039/200000000000000000000000000 1443286063896866347298182503/1000000000000000000000000000 -1247078247314424630002499123/1000000000000000000000000000 99103185317522398271309401/125000000000000000000000000 518702609875433406934020629/1000000000000000000000000000 49008513881740616720598353/125000000000000000000000000
33970839946993224017212607/250000000000000000000000000 -273383699780385241513479411/1000000000000000000000000000 -1247078247314424630002499123/1000000000000000000000000000 36082151574145723451363777/25000000000000000000000000 -197806659713600978784818229/200000000000000000000000000 -518702608660362715114001887/1000000000000000000000000000 -392068111123328021010752927/1000000000000000000000000000
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--- 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 :
1107458326794142062598753541/500000000000000000000000000 3571928409544489138698304149/1000000000000000000000000000 157001033978695137150013171/200000000000000000000000000 -87317943350408787771550843/62500000000000000000000000 -3046037813129501156409647633/1000000000000000000000000000 -1842890915667264796107383829/1000000000000000000000000000 38466678328590273865095709/200000000000000000000000000 193449945284714184822307259/500000000000000000000000000 -530176429555980652079460701/1000000000000000000000000000 -1644226690676221913357119/15625000000000000000000000 -193336192704455416595723687/250000000000000000000000000 -1140425347644426150041696027/1000000000000000000000000000
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--- Term 15 ---

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

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

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

Matrix :
169491592575414091821730659/40000000000000000000000000 1402381125997020423061522881/500000000000000000000000000 1903601088759670765444510767/1000000000000000000000000000 1259112182196715844694201723/500000000000000000000000000
1402381125997020423061522881/500000000000000000000000000 464531180771570297975992731/250000000000000000000000000 657091094174000101311671709/500000000000000000000000000 416652187547988776155620177/250000000000000000000000000
1903601088759670765444510767/1000000000000000000000000000 657091094174000101311671709/500000000000000000000000000 2703208552559568464311063107/1000000000000000000000000000 22446382641041831314091607/20000000000000000000000000
1259112182196715844694201723/500000000000000000000000000 416652187547988776155620177/250000000000000000000000000 22446382641041831314091607/20000000000000000000000000 374156573869033429725099723/250000000000000000000000000


--- 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 :
6234041691845341823246467/12500000000000000000000000 -11462221845750743118373801/62500000000000000000000000 3101424288189011833015999/62500000000000000000000000 -5647120021631487875094301/25000000000000000000000000 336629635535640770827363/7812500000000000000000000 -4962287751350925940800711/25000000000000000000000000
-11462221845750743118373801/62500000000000000000000000 90940616893129532386770561/1000000000000000000000000000 -12004438985441196210397997/1000000000000000000000000000 98738035669457538639160061/1000000000000000000000000000 -20393519405161534537360107/500000000000000000000000000 9765015131107459355056987/200000000000000000000000000
3101424288189011833015999/62500000000000000000000000 -12004438985441196210397997/1000000000000000000000000000 1319221693633472906745301/200000000000000000000000000 -18311529416673357562109129/1000000000000000000000000000 -1169506599871747489644241/500000000000000000000000000 -5234004978142993392855087/200000000000000000000000000
-5647120021631487875094301/25000000000000000000000000 98738035669457538639160061/1000000000000000000000000000 -18311529416673357562109129/1000000000000000000000000000 22552460294175440375828929/200000000000000000000000000 -18075375158313964320840647/500000000000000000000000000 14756924674480059157029843/200000000000000000000000000
336629635535640770827363/7812500000000000000000000 -20393519405161534537360107/500000000000000000000000000 -1169506599871747489644241/500000000000000000000000000 -18075375158313964320840647/500000000000000000000000000 7548688109662636470304809/250000000000000000000000000 849932087577784438212671/100000000000000000000000000
-4962287751350925940800711/25000000000000000000000000 9765015131107459355056987/200000000000000000000000000 -5234004978142993392855087/200000000000000000000000000 14756924674480059157029843/200000000000000000000000000 849932087577784438212671/100000000000000000000000000 4154007546819886005560533/40000000000000000000000000


--- 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 :
21808386047843453324413089/50000000000000000000000000 -21808386047843453324413089/50000000000000000000000000 -3633956337616209/25000000000000000000000000 32201857824088964166909/8000000000000000000000000 -805046240956190874992703/200000000000000000000000000 805046262322281885681129/200000000000000000000000000 0/1 -52319768222416611314231289/200000000000000000000000000 52319768222416611314231289/200000000000000000000000000 1912036131356841/50000000000000000000000000
-21808386047843453324413089/50000000000000000000000000 21808386047843453324413089/50000000000000000000000000 3633956337616209/25000000000000000000000000 -32201857824088964166909/8000000000000000000000000 805046240956190874992703/200000000000000000000000000 -805046262322281885681129/200000000000000000000000000 0/1 52319768222416611314231289/200000000000000000000000000 -52319768222416611314231289/200000000000000000000000000 -1912036131356841/50000000000000000000000000
-3633956337616209/25000000000000000000000000 3633956337616209/25000000000000000000000000 436167720693648507911180141/1000000000000000000000000000 2012615483324109055446221/500000000000000000000000000 -402523343402189873472887/100000000000000000000000000 -201261527453825491447921/50000000000000000000000000 0/1 -125563551777822527/500000000000000000000000000 125563551777822527/500000000000000000000000000 -52319768275363460506086681/200000000000000000000000000
32201857824088964166909/8000000000000000000000000 -32201857824088964166909/8000000000000000000000000 2012615483324109055446221/500000000000000000000000000 1202779227814100423200942409/1000000000000000000000000000 60131531931585154560839941/50000000000000000000000000 -240540986404184996349886493/200000000000000000000000000 0/1 -2414200079091159300526553/1000000000000000000000000000 2414200079091159300526553/1000000000000000000000000000 -120709905647023142434053/50000000000000000000000000
-805046240956190874992703/200000000000000000000000000 805046240956190874992703/200000000000000000000000000 -402523343402189873472887/100000000000000000000000000 60131531931585154560839941/50000000000000000000000000 1202779228567345780703828723/1000000000000000000000000000 -601352466194658736096370621/500000000000000000000000000 0/1 150887449674174329958679/62500000000000000000000000 -150887449674174329958679/62500000000000000000000000 37721902248400434174027/15625000000000000000000000
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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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52319768222416611314231289/200000000000000000000000000 -52319768222416611314231289/200000000000000000000000000 125563551777822527/500000000000000000000000000 2414200079091159300526553/1000000000000000000000000000 -150887449674174329958679/62500000000000000000000000 2414199252615887252670911/1000000000000000000000000000 0/1 -156898253545800663834428393/1000000000000000000000000000 156898253545800663834428393/1000000000000000000000000000 -2812037769939501/15625000000000000000000000
1912036131356841/50000000000000000000000000 -1912036131356841/50000000000000000000000000 -52319768275363460506086681/200000000000000000000000000 -120709905647023142434053/50000000000000000000000000 37721902248400434174027/15625000000000000000000000 1207098930795792859315629/500000000000000000000000000 0/1 2812037769939501/15625000000000000000000000 -2812037769939501/15625000000000000000000000 156898253958043894292456253/1000000000000000000000000000


--- 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 :
7318962627146628074267037/250000000000000000000000000 12054426262341019310220711/250000000000000000000000000 85864995477699142947901317/500000000000000000000000000 15523721981490184165759029/250000000000000000000000000 -4926223416433830742166631/20000000000000000000000000 -136122592057848078401715981/500000000000000000000000000
12054426262341019310220711/250000000000000000000000000 19853796216318041460600933/250000000000000000000000000 141420759912487137766147551/500000000000000000000000000 25567771209662564356930287/250000000000000000000000000 -8113553784926246519574693/20000000000000000000000000 -224195672555274485652202743/500000000000000000000000000
85864995477699142947901317/500000000000000000000000000 141420759912487137766147551/500000000000000000000000000 1007355526183312982333338797/1000000000000000000000000000 182122028167450190149677789/500000000000000000000000000 -57793730194129096916378271/40000000000000000000000000 -1596970273916613872699541621/1000000000000000000000000000
15523721981490184165759029/250000000000000000000000000 25567771209662564356930287/250000000000000000000000000 182122028167450190149677789/500000000000000000000000000 32926243299120704490913293/250000000000000000000000000 -10448655995561413779114927/20000000000000000000000000 -288719779312449131901923877/500000000000000000000000000
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

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

Basis :
B1  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
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-65423093596277871390947763/250000000000000000000000000 65423093596277871390947763/250000000000000000000000000 -128655648526362891/1000000000000000000000000000 -188103056226041696222802027/1000000000000000000000000000 188103056226041696222802027/1000000000000000000000000000 -11756440962351648090677267/62500000000000000000000000 0/1 67320125790911562050062129/200000000000000000000000000 -67320125790911562050062129/200000000000000000000000000 -18807182878461747/250000000000000000000000000
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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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