#Density : 403250944561084617474169799/4000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 4, 7, 8, 9, 10, 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 :
2007455277879892734140149/15625000000000000000000000 1437169247019023752883551/15625000000000000000000000 -7543875525753039164441701/62500000000000000000000000 -2860592870307079178837741/125000000000000000000000000 -1314109594320846943947901/125000000000000000000000000 -1353578844529464058610643/62500000000000000000000000
1437169247019023752883551/15625000000000000000000000 1028892382976815269902749/15625000000000000000000000 -5400780793683220594439599/62500000000000000000000000 -2047944054718406441695559/125000000000000000000000000 -940792015135274326993399/125000000000000000000000000 -969048680789430701035257/62500000000000000000000000
-7543875525753039164441701/62500000000000000000000000 -5400780793683220594439599/62500000000000000000000000 28349352822524326405428949/250000000000000000000000000 10749906501650271979058909/500000000000000000000000000 4938331287371982847952749/500000000000000000000000000 5086653949375726034702307/250000000000000000000000000
-2860592870307079178837741/125000000000000000000000000 -2047944054718406441695559/125000000000000000000000000 10749906501650271979058909/500000000000000000000000000 4076300807205971172767269/1000000000000000000000000000 1872585943875385368934709/1000000000000000000000000000 1928829017874213211090587/500000000000000000000000000
-1314109594320846943947901/125000000000000000000000000 -940792015135274326993399/125000000000000000000000000 4938331287371982847952749/500000000000000000000000000 1872585943875385368934709/1000000000000000000000000000 860235366094876186036549/1000000000000000000000000000 886072514723448059725707/500000000000000000000000000
-1353578844529464058610643/62500000000000000000000000 -969048680789430701035257/62500000000000000000000000 5086653949375726034702307/250000000000000000000000000 1928829017874213211090587/500000000000000000000000000 886072514723448059725707/500000000000000000000000000 912685681492596227521701/250000000000000000000000000


--- 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 :
44652268237315308229/488281250000000000000000 12977986177388966792311/7812500000000000000000000 3236797922317959140471/3125000000000000000000000 -38354071039608428448751/15625000000000000000000000 1183914655650683140371/3906250000000000000000000 -2252252103253614029051/3125000000000000000000000
12977986177388966792311/7812500000000000000000000 3771994836305895356107549/125000000000000000000000000 940761138305153523720989/50000000000000000000000000 -11147442749227740277085509/250000000000000000000000000 344099608883980528795089/62500000000000000000000000 -654607208499965095083209/50000000000000000000000000
3236797922317959140471/3125000000000000000000000 940761138305153523720989/50000000000000000000000000 234632219224341295020829/20000000000000000000000000 -2780247955011928351796549/100000000000000000000000000 85820780195203708990929/25000000000000000000000000 -163263485062004626306249/20000000000000000000000000
-38354071039608428448751/15625000000000000000000000 -11147442749227740277085509/250000000000000000000000000 -2780247955011928351796549/100000000000000000000000000 32944233817936391328221869/500000000000000000000000000 -1016923632329903288234649/125000000000000000000000000 1934572208251392960927569/100000000000000000000000000
1183914655650683140371/3906250000000000000000000 344099608883980528795089/62500000000000000000000000 85820780195203708990929/25000000000000000000000000 -1016923632329903288234649/125000000000000000000000000 31390430255749741651029/31250000000000000000000000 -59716434988037004674349/25000000000000000000000000
-2252252103253614029051/3125000000000000000000000 -654607208499965095083209/50000000000000000000000000 -163263485062004626306249/20000000000000000000000000 1934572208251392960927569/100000000000000000000000000 -59716434988037004674349/25000000000000000000000000 113603177102908973843269/20000000000000000000000000


--- 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 :
58009080086110632266255597/62500000000000000000000000 34499296560637257990288977/25000000000000000000000000 29765606323249651466043/390625000000000000000000 1564301660065260189076577/12500000000000000000000000 -14738125016062114636980151/31250000000000000000000000 160392253078254160862737317/125000000000000000000000000 -97779371355828220737610383/125000000000000000000000000 -62519301743639676226860857/31250000000000000000000000 -4118798628276522861211433/62500000000000000000000000 -46380567834009319501007057/125000000000000000000000000 -3833278146249269462518339/6250000000000000000000000 -306966148516744185692091/3906250000000000000000000
34499296560637257990288977/25000000000000000000000000 968413891055302801816194839/250000000000000000000000000 -38844985473819894115864749/125000000000000000000000000 3618002484344044646761799/7812500000000000000000000 -85665342865810190730617267/62500000000000000000000000 -20362670689750546669951923/25000000000000000000000000 -23226413232812095556911701/15625000000000000000000000 48928758020706758632310399/62500000000000000000000000 -214959163189261974260287/1953125000000000000000000 -81389697447758663023848119/125000000000000000000000000 -375444447382135740996973159/250000000000000000000000000 20375700674163501681016119/250000000000000000000000000
29765606323249651466043/390625000000000000000000 -38844985473819894115864749/125000000000000000000000000 29393576860930801973963997/250000000000000000000000000 -13940199283345956651924453/250000000000000000000000000 37483329920881352531061171/250000000000000000000000000 441977376340815002302913913/500000000000000000000000000 6467212324153150996783827/500000000000000000000000000 -307369543182058567201822683/250000000000000000000000000 -5738085049145848891384107/250000000000000000000000000 1106465239836313111063587/500000000000000000000000000 22290092445069297602158611/500000000000000000000000000 -39672545310705436830571287/500000000000000000000000000
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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 :
1071152483940966906925922821/1000000000000000000000000000 4752390437924263865781789/3125000000000000000000000 189386463746076867632423519/250000000000000000000000000 4110049857134481306704963/200000000000000000000000000
4752390437924263865781789/3125000000000000000000000 3018357375975322981465020911/500000000000000000000000000 755726981213962343820831037/500000000000000000000000000 33666671550139989157133479/25000000000000000000000000
189386463746076867632423519/250000000000000000000000000 755726981213962343820831037/500000000000000000000000000 292381911087250433114153927/500000000000000000000000000 1626492002505703120826407/10000000000000000000000000
4110049857134481306704963/200000000000000000000000000 33666671550139989157133479/25000000000000000000000000 1626492002505703120826407/10000000000000000000000000 340512124404265900978775017/200000000000000000000000000


--- 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 :
836009045125970721424331301/500000000000000000000000000 200074299404763416076813277/125000000000000000000000000 -35816481047417622221590527/31250000000000000000000000 -31621977645157762070929247/100000000000000000000000000 100768737723156827318831299/125000000000000000000000000 -11083600883869765718758891/250000000000000000000000000 -583224686934866492609610631/500000000000000000000000000 -37154711144482348921995719/100000000000000000000000000 -24503814450222673395098093/31250000000000000000000000 -375287746312975391551359581/250000000000000000000000000
200074299404763416076813277/125000000000000000000000000 3807532447701530628254429441/1000000000000000000000000000 -13797052451316802800690247/15625000000000000000000000 -292021184493047491653541073/250000000000000000000000000 1352225402966686763748239777/1000000000000000000000000000 -1732196420948452060445884611/1000000000000000000000000000 -114956570973278480243640921/200000000000000000000000000 -590486108092621949102208039/500000000000000000000000000 -952265690743139017705572209/500000000000000000000000000 -1046364727753363181742750239/1000000000000000000000000000
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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 :
239711001258575437022433427/1000000000000000000000000000 20392427382868215801637213/1000000000000000000000000000 -2202551906167506071159887/31250000000000000000000000 -228025884988560906687101481/1000000000000000000000000000 1129275916122958508865037/31250000000000000000000000 -6418238919160706991134789/20000000000000000000000000
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-2202551906167506071159887/31250000000000000000000000 624673815059906784540631/100000000000000000000000000 259270980387385421504800491/250000000000000000000000000 11837576114063757028519493/100000000000000000000000000 143293943440173255773715567/500000000000000000000000000 20367382542848511511868141/125000000000000000000000000
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1129275916122958508865037/31250000000000000000000000 40690533473565924043469323/1000000000000000000000000000 143293943440173255773715567/500000000000000000000000000 123338699824477963700245829/1000000000000000000000000000 918652475463558041823228247/1000000000000000000000000000 16101808467456815706201439/250000000000000000000000000
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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 :
2265935262596767290473307/31250000000000000000000000 -186859576054536413561379/7812500000000000000000000 703479079098232869053061/6250000000000000000000000 2040154952176037813126571/62500000000000000000000000 851185470230033231700099/7812500000000000000000000 1431342047879847597765249/31250000000000000000000000 -621306192273829554206583/7812500000000000000000000 -408684387374532695402559/3906250000000000000000000 2902828913293923819093537/31250000000000000000000000
-186859576054536413561379/7812500000000000000000000 15409310998261567041963/1953125000000000000000000 -58012161535845202710717/1562500000000000000000000 -168240680014968981299187/15625000000000000000000000 -70192718537197342273803/1953125000000000000000000 -118035132190559809963353/7812500000000000000000000 51235802542433900649951/1953125000000000000000000 33702018158010752280423/976562500000000000000000 -239380793022011155357689/7812500000000000000000000
703479079098232869053061/6250000000000000000000000 -58012161535845202710717/1562500000000000000000000 218401126853801143061403/1250000000000000000000000 633383641035599790062133/12500000000000000000000000 264257845589553144221277/1562500000000000000000000 444372441851300775869727/6250000000000000000000000 -192889847822895510674409/1562500000000000000000000 -126879580903200642637857/781250000000000000000000 901208187370501332948351/6250000000000000000000000
2040154952176037813126571/62500000000000000000000000 -168240680014968981299187/15625000000000000000000000 633383641035599790062133/12500000000000000000000000 1836871643066485022567163/125000000000000000000000000 766372403031497429899347/15625000000000000000000000 1288721533859423934237297/62500000000000000000000000 -559398552071811189358599/15625000000000000000000000 -367962620354682934043727/7812500000000000000000000 2613587810972810241055761/62500000000000000000000000
851185470230033231700099/7812500000000000000000000 -70192718537197342273803/1953125000000000000000000 264257845589553144221277/1562500000000000000000000 766372403031497429899347/15625000000000000000000000 319742896758853072116843/1953125000000000000000000 537675358248500460150393/7812500000000000000000000 -233390076123080115485631/1953125000000000000000000 -153519925385868768405063/976562500000000000000000 1090430884917616602877209/7812500000000000000000000
1431342047879847597765249/31250000000000000000000000 -118035132190559809963353/7812500000000000000000000 444372441851300775869727/6250000000000000000000000 1288721533859423934237297/62500000000000000000000000 537675358248500460150393/7812500000000000000000000 904147656752124009151443/31250000000000000000000000 -392465615540362643160981/7812500000000000000000000 -258157043414740275605613/3906250000000000000000000 1833653922061914933575859/31250000000000000000000000
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2902828913293923819093537/31250000000000000000000000 -239380793022011155357689/7812500000000000000000000 901208187370501332948351/6250000000000000000000000 2613587810972810241055761/62500000000000000000000000 1090430884917616602877209/7812500000000000000000000 1833653922061914933575859/31250000000000000000000000 -795938705183553539478453/7812500000000000000000000 -523554611495413268829069/3906250000000000000000000 3718736293550809532248467/31250000000000000000000000


--- 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 :
76919505166883754028084097/250000000000000000000000000 -3941407725397357/100000000000000000000000000 -63994431755440715344956929/500000000000000000000000000 7999303557477988423942743/62500000000000000000000000 63994431735288525096659881/500000000000000000000000000 34602677624396906965008253/250000000000000000000000000 20149317388780081/125000000000000000000000000
-3941407725397357/100000000000000000000000000 143163958288156915737/1000000000000000000000000000 -1465731775073920165901/15625000000000000000000000 46903432247992435280347/500000000000000000000000000 -93806897329656686807133/1000000000000000000000000000 -8864213134908233/500000000000000000000000000 45430932805732961701641/1000000000000000000000000000
-63994431755440715344956929/500000000000000000000000000 -1465731775073920165901/15625000000000000000000000 396906973682635167631781433/500000000000000000000000000 14253252378112863802656677/500000000000000000000000000 -16873614485430905025569497/125000000000000000000000000 -57576519606015159061761/1000000000000000000000000 -1488413137894672893727843/50000000000000000000000000
7999303557477988423942743/62500000000000000000000000 46903432247992435280347/500000000000000000000000000 14253252378112863802656677/500000000000000000000000000 198453488075522811335192077/250000000000000000000000000 -13746630938190138659319287/20000000000000000000000000 14394129094638928876475357/250000000000000000000000000 930258197728364499747121/31250000000000000000000000
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20149317388780081/125000000000000000000000000 45430932805732961701641/1000000000000000000000000000 -1488413137894672893727843/50000000000000000000000000 930258197728364499747121/31250000000000000000000000 -29768262206683134303734013/1000000000000000000000000000 36609536815728291/500000000000000000000000000 14416824459734888222688143/1000000000000000000000000000


--- 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 :
295190116685963525902565609/500000000000000000000000000 8293064181453578824412551/50000000000000000000000000 64863531726398020865411871/250000000000000000000000000 -35685653118618188775012459/250000000000000000000000000 213827617516273584661349273/500000000000000000000000000 -236068140406175924120477647/500000000000000000000000000 -37562709119038997283525759/500000000000000000000000000 -48693595033801397734086481/100000000000000000000000000 84168290548821661583281687/250000000000000000000000000 -5693530439939807681408347/15625000000000000000000000 322533350163014891919222823/500000000000000000000000000 -30211763499974151615986937/62500000000000000000000000
8293064181453578824412551/50000000000000000000000000 46237865282789064118174699/250000000000000000000000000 1657926029418023257471551/7812500000000000000000000 -2225900652623518354928211/250000000000000000000000000 350771265058169562337918339/500000000000000000000000000 -109567018952135157666416999/500000000000000000000000000 -26150987017773910319833407/100000000000000000000000000 -41337997820850643443583861/500000000000000000000000000 2013882157856220246901787/62500000000000000000000000 -62013385233781102036844693/250000000000000000000000000 89018730570376129863781391/500000000000000000000000000 -30453836399329564524729759/100000000000000000000000000
64863531726398020865411871/250000000000000000000000000 1657926029418023257471551/7812500000000000000000000 7146300730181990733391441/10000000000000000000000000 -2055638627112762272187921/62500000000000000000000000 264930718156373211179745529/500000000000000000000000000 -134156096220839168865702399/500000000000000000000000000 -16839608673022807409121677/100000000000000000000000000 -101336927363635092780119399/500000000000000000000000000 2199850502548990705658747/15625000000000000000000000 -127261541686546263417191369/250000000000000000000000000 132314377913935446598721283/500000000000000000000000000 -198555241418569591294955251/500000000000000000000000000
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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 :
339586965984139976801063247/200000000000000000000000000 4112903244391478036065649/1000000000000000000000000000 31374298325387124316670967/1000000000000000000000000000 23234172892958602695245247/1000000000000000000000000000
4112903244391478036065649/1000000000000000000000000000 5524460744894200171633891/500000000000000000000000000 369798425441832990027187/15625000000000000000000000 62416371607640951126252931/1000000000000000000000000000
31374298325387124316670967/1000000000000000000000000000 369798425441832990027187/15625000000000000000000000 3691685295970219514510827/20000000000000000000000000 133697615660699928911758209/1000000000000000000000000000
23234172892958602695245247/1000000000000000000000000000 62416371607640951126252931/1000000000000000000000000000 133697615660699928911758209/1000000000000000000000000000 352595812022349410927659023/1000000000000000000000000000


--- 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 :
2537451705385753031571867/40000000000000000000000000 582055427009838260590839/200000000000000000000000000 142326888298092170273079/200000000000000000000000000 -18144485482729618348240959/200000000000000000000000000 -579107965204191681758853/10000000000000000000000000 1570171523416837353778887/20000000000000000000000000
582055427009838260590839/200000000000000000000000000 1816078205445940009542347/40000000000000000000000000 52236434897059803543/1600000000000000000000000 -832417518360214546867127/200000000000000000000000000 -132839153325285202120383/50000000000000000000000000 360175077048537760908179/100000000000000000000000000
142326888298092170273079/200000000000000000000000000 52236434897059803543/1600000000000000000000000 19957959288074478843/2500000000000000000000000 -203546585974074317890137/200000000000000000000000000 -64964889381902332916601/100000000000000000000000000 88071677008812078444819/100000000000000000000000000
-18144485482729618348240959/200000000000000000000000000 -832417518360214546867127/200000000000000000000000000 -203546585974074317890137/200000000000000000000000000 25949053748231731616815099/200000000000000000000000000 1035252813410998228989927/12500000000000000000000000 -11227781932386020894085499/100000000000000000000000000
-579107965204191681758853/10000000000000000000000000 -132839153325285202120383/50000000000000000000000000 -64964889381902332916601/100000000000000000000000000 1035252813410998228989927/12500000000000000000000000 528665881050856362357441/10000000000000000000000000 -358351189115244829167033/5000000000000000000000000
1570171523416837353778887/20000000000000000000000000 360175077048537760908179/100000000000000000000000000 88071677008812078444819/100000000000000000000000000 -11227781932386020894085499/100000000000000000000000000 -358351189115244829167033/5000000000000000000000000 971619916042637149107107/10000000000000000000000000


--- 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 :
566386695382531376202856887/1000000000000000000000000000 -108667612501509136774990823/250000000000000000000000000 -32929061009068651050284311/500000000000000000000000000 -4021281977036997659/200000000000000000000000000 4021281977036997659/200000000000000000000000000 -20142532375530375117/1000000000000000000000000000 0/1 44386647396449700177/500000000000000000000000000 -44386647396449700177/500000000000000000000000000 20148299518506457/1000000000000000000000000000
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--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

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

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

Matrix :
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--- Term 19 ---

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

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

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

Matrix :
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