#Density : 16561572268633542623950263637/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 9, 10, 11}
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 :
10863805129544495335369643/31250000000000000000000000 -29474976464431581109887731/125000000000000000000000000 625997319975161169860053/3125000000000000000000000 -996837753397751052782823/5000000000000000000000000 19485223019862418207918931/125000000000000000000000000 914459529293685786520629/5000000000000000000000000
-29474976464431581109887731/125000000000000000000000000 90114905874781715331311739/500000000000000000000000000 -9565690209608145837589863/62500000000000000000000000 52553422293103895820992919/500000000000000000000000000 -11674405358172225110950283/500000000000000000000000000 -80022915279545241842191509/500000000000000000000000000
625997319975161169860053/3125000000000000000000000 -9565690209608145837589863/62500000000000000000000000 32492751511901548252238979/250000000000000000000000000 -11172509818830587990210517/125000000000000000000000000 5019466546169902910411111/250000000000000000000000000 33964486033547011294518099/250000000000000000000000000
-996837753397751052782823/5000000000000000000000000 52553422293103895820992919/500000000000000000000000000 -11172509818830587990210517/125000000000000000000000000 79524168002121452824159803/500000000000000000000000000 -105846098968259612733073347/500000000000000000000000000 -25727374299014074539250533/500000000000000000000000000
19485223019862418207918931/125000000000000000000000000 -11674405358172225110950283/500000000000000000000000000 5019466546169902910411111/250000000000000000000000000 -105846098968259612733073347/500000000000000000000000000 40438732338788471006321101/100000000000000000000000000 -32065109314119659006712333/500000000000000000000000000
914459529293685786520629/5000000000000000000000000 -80022915279545241842191509/500000000000000000000000000 33964486033547011294518099/250000000000000000000000000 -25727374299014074539250533/500000000000000000000000000 -32065109314119659006712333/500000000000000000000000000 80032982765458099166219313/500000000000000000000000000


--- 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 :
5746659563014863809151423/125000000000000000000000000 749337803951781584836527/250000000000000000000000000 -6060662511961453707759861/125000000000000000000000000 2553909336110170733531823/250000000000000000000000000 -845278572964891885990317/12500000000000000000000000 1330507617069017665238079/31250000000000000000000000
749337803951781584836527/250000000000000000000000000 97710180718743632293023/500000000000000000000000000 -790282334877601536990789/250000000000000000000000000 333017954592170760116127/500000000000000000000000000 -110220412858545657092733/25000000000000000000000000 173492033934329805812271/62500000000000000000000000
-6060662511961453707759861/125000000000000000000000000 -790282334877601536990789/250000000000000000000000000 6391822880947630475088327/125000000000000000000000000 -2693457373380731252942661/250000000000000000000000000 891465398838581595494319/12500000000000000000000000 -1403207819817132176219253/31250000000000000000000000
2553909336110170733531823/250000000000000000000000000 333017954592170760116127/500000000000000000000000000 -2693457373380731252942661/250000000000000000000000000 1134999006909820423832223/500000000000000000000000000 -375655598776477560961917/25000000000000000000000000 591299308361251399167279/62500000000000000000000000
-845278572964891885990317/12500000000000000000000000 -110220412858545657092733/25000000000000000000000000 891465398838581595494319/12500000000000000000000000 -375655598776477560961917/25000000000000000000000000 124332380938661148109143/1250000000000000000000000 -195704925190486555504941/3125000000000000000000000
1330507617069017665238079/31250000000000000000000000 173492033934329805812271/62500000000000000000000000 -1403207819817132176219253/31250000000000000000000000 591299308361251399167279/62500000000000000000000000 -195704925190486555504941/3125000000000000000000000 308048614967884251506367/7812500000000000000000000


--- 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 :
152703010602866302013386829/500000000000000000000000000 118615468072101520557283827/1000000000000000000000000000 22846948972021988172193077/100000000000000000000000000 170392229283640318191509397/500000000000000000000000000 217654678484516283281928509/1000000000000000000000000000 83425848677333005463527391/500000000000000000000000000 -117233840593068944647356251/500000000000000000000000000 -28321972560759892031268383/100000000000000000000000000 -377334406637056857696164671/1000000000000000000000000000 4696599300257592994168691/25000000000000000000000000 -361833482119274042293773681/1000000000000000000000000000 11545236219410421563165519/200000000000000000000000000
118615468072101520557283827/1000000000000000000000000000 90079595998488461767422377/1000000000000000000000000000 18742566974192900851332849/500000000000000000000000000 -104875810671660856836061/200000000000000000000000000 78199115639495259593112479/1000000000000000000000000000 -29463357879149264604079217/500000000000000000000000000 -12449343760802512778985223/1000000000000000000000000000 -52548772592265408826356403/500000000000000000000000000 -12125175098587257966671591/500000000000000000000000000 -5008734808344867134124319/1000000000000000000000000000 -141748754414782590513874281/1000000000000000000000000000 -7117504766672358835934617/62500000000000000000000000
22846948972021988172193077/100000000000000000000000000 18742566974192900851332849/500000000000000000000000000 57648104545490638028805541/250000000000000000000000000 204835015776586487267930009/500000000000000000000000000 85100449349965746839570957/500000000000000000000000000 2100765058866210489113747/7812500000000000000000000 -133472810895034471093576031/500000000000000000000000000 -54394848622247898106832751/250000000000000000000000000 -26543333178608834625043161/62500000000000000000000000 11566717220738325648539191/50000000000000000000000000 -134632046713774297522902747/500000000000000000000000000 100950379102590132484585067/500000000000000000000000000
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11545236219410421563165519/200000000000000000000000000 -7117504766672358835934617/62500000000000000000000000 100950379102590132484585067/500000000000000000000000000 475937858620893964575672371/1000000000000000000000000000 30379477122048478214175283/500000000000000000000000000 148358485815500766106128077/500000000000000000000000000 -14280085659243514745340969/40000000000000000000000000 -4294441147259095455635821/62500000000000000000000000 -90016579615338056160778213/200000000000000000000000000 44964449015666118851604339/200000000000000000000000000 -46734320434160594112414993/500000000000000000000000000 938145117396055372284889357/1000000000000000000000000000


--- 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 :
375610709312930076628552483/1000000000000000000000000000 685832002194729261280277/1562500000000000000000000 379671865229318678099624453/1000000000000000000000000000 2431048980272716936559659/50000000000000000000000000
685832002194729261280277/1562500000000000000000000 3871048831770860373096119439/1000000000000000000000000000 337143966873189022545500373/100000000000000000000000000 418423231691004587114535911/500000000000000000000000000
379671865229318678099624453/1000000000000000000000000000 337143966873189022545500373/100000000000000000000000000 734083119635487348248476977/250000000000000000000000000 145842250713340322938631939/200000000000000000000000000
2431048980272716936559659/50000000000000000000000000 418423231691004587114535911/500000000000000000000000000 145842250713340322938631939/200000000000000000000000000 806213155974748871894694841/1000000000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

Flags :
F1  : {2, 3}
F2  : {2, 3, 4}
F3  : {2, 3, 5}
F4  : {2, 3, 4, 5}
F5  : {2, 3, 6}
F6  : {2, 3, 4, 6}
F7  : {2, 3, 5, 6}
F8  : {2, 3, 4, 5, 6}
F9  : {2, 3, 7}
F10 : {2, 3, 4, 7}
F11 : {2, 3, 5, 7}
F12 : {2, 3, 4, 5, 7}
F13 : {2, 3, 6, 7}
F14 : {2, 3, 4, 6, 7}
F15 : {2, 3, 5, 6, 7}
F16 : {2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)+(F3)
B3  : (F4)
B4  : (F5)+(F9)
B5  : (F6)+(F11)
B6  : (F7)+(F10)
B7  : (F8)+(F12)
B8  : (F13)
B9  : (F14)+(F15)
B10 : (F16)

Matrix :
1803016635295047867527439277/1000000000000000000000000000 31249148593114946458972841/25000000000000000000000000 -11455983656916350831607039/250000000000000000000000000 1092847438760571402751075543/1000000000000000000000000000 -145656444576755553734254447/500000000000000000000000000 -266687079786474517235139177/1000000000000000000000000000 -440270137672140129458550439/1000000000000000000000000000 -410238901760632711621514481/500000000000000000000000000 -854624541785271351429206371/1000000000000000000000000000 -744107598555880067312704011/500000000000000000000000000
31249148593114946458972841/25000000000000000000000000 1724663834869497467958021229/1000000000000000000000000000 568794984301849408537918457/1000000000000000000000000000 13714637400056831106227027/20000000000000000000000000 -299952901603079633538510937/1000000000000000000000000000 -17474675305718935795087983/100000000000000000000000000 -22906386194813673084062541/1000000000000000000000000000 -1471814025743987437781227607/1000000000000000000000000000 -95998251329020063776572099/100000000000000000000000000 -1314053520120736858866654713/1000000000000000000000000000
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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 :
34051891429189512211955093/500000000000000000000000000 -512289638098322803251619939/1000000000000000000000000000 -157937936496464175571091833/1000000000000000000000000000 -85140181705526114827887387/1000000000000000000000000000 -81950464160547006119840419/500000000000000000000000000 -19653728722177353095271737/125000000000000000000000000
-512289638098322803251619939/1000000000000000000000000000 3853540321668367410432000223/1000000000000000000000000000 148504909021831784048830619/125000000000000000000000000 640440682208694617354737359/1000000000000000000000000000 1232894031586330637469938983/1000000000000000000000000000 1182712753142239308590050059/1000000000000000000000000000
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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 :
187950799497643557250795523/125000000000000000000000000 200883443376122028395328661/250000000000000000000000000 318200292058382842652367207/250000000000000000000000000 -43386132780141243791624559/250000000000000000000000000 -72146041808319946023991041/62500000000000000000000000 -31755108334973157886319/390625000000000000000000 166762414950260617253193/400000000000000000000000 -25183262301493021133112873/62500000000000000000000000 -55034959451444369862503929/31250000000000000000000000
200883443376122028395328661/250000000000000000000000000 214705965234021617253591257/500000000000000000000000000 34009522983049112632089381/50000000000000000000000000 -11592868676847157928058417/125000000000000000000000000 -9638789342177471311275303/15625000000000000000000000 -21721686415188369506735623/500000000000000000000000000 111398196464395891905382977/500000000000000000000000000 -107664355992940121491152651/500000000000000000000000000 -470574732971434142786958787/500000000000000000000000000
318200292058382842652367207/250000000000000000000000000 34009522983049112632089381/50000000000000000000000000 1077424795602527714603745237/1000000000000000000000000000 -29381051121668844856266447/200000000000000000000000000 -244286181656295950601386973/250000000000000000000000000 -68814501034418695901951409/1000000000000000000000000000 22056906516294610970856189/62500000000000000000000000 -341081663530498968838320657/1000000000000000000000000000 -1490785053763214455889663901/1000000000000000000000000000
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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 :
68951113222720679783406327/500000000000000000000000000 -638148954670224559/500000000000000000000000000 6516041211313149655079011/200000000000000000000000000 -16290098061030734939643081/500000000000000000000000000 -32580207180773411604139403/1000000000000000000000000000 -110858557225869965057144823/1000000000000000000000000000 -590095137809261259/1000000000000000000000000000
-638148954670224559/500000000000000000000000000 57373014186595256919481/16000000000000000000000 23214120919272272557517687/31250000000000000000000000 -185712967802953352627256843/250000000000000000000000000 46428242105707422738654703/62500000000000000000000000 -389948707901578011/500000000000000000000000000 720504005747218821217482913/500000000000000000000000000
6516041211313149655079011/200000000000000000000000000 23214120919272272557517687/31250000000000000000000000 881448303621016009510863213/1000000000000000000000000000 -20391046609790960937507713/250000000000000000000000000 -55182984952909685755214241/200000000000000000000000000 -48134349038553480457891833/500000000000000000000000000 149262577186028649721706437/500000000000000000000000000
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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 :
958949337293758055752574871/1000000000000000000000000000 1160860905989630417306515643/1000000000000000000000000000 935569036103015634712854753/1000000000000000000000000000 -150482709585952653282270201/500000000000000000000000000 -270447575481529000065132689/1000000000000000000000000000 -1132974503636450580161526407/1000000000000000000000000000 -32723601443143720174817171/250000000000000000000000000 -124533692309724570299013241/500000000000000000000000000 79472179512621021699392683/250000000000000000000000000 -493090187475167575653348459/1000000000000000000000000000 613303079122181730650059471/1000000000000000000000000000 -1149743671008974392656515759/1000000000000000000000000000
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935569036103015634712854753/1000000000000000000000000000 974251608315420644469796019/1000000000000000000000000000 483229042643958500072955479/250000000000000000000000000 -203696222706340525987521443/500000000000000000000000000 -41332110520880671732325079/1000000000000000000000000000 -108078482476740687111020059/100000000000000000000000000 -43469153194104930766682747/100000000000000000000000000 -35313910555246213827137531/62500000000000000000000000 7780559928233113732372919/250000000000000000000000000 -622703413028551594947458831/1000000000000000000000000000 110927866804277837446909073/125000000000000000000000000 -1058786934235002836913241151/1000000000000000000000000000
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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 :
470325317341448108186039713/125000000000000000000000000 197435166766981066081810797/250000000000000000000000000 231442396475605738588527669/250000000000000000000000000 210603335842336074687471173/250000000000000000000000000
197435166766981066081810797/250000000000000000000000000 7017413242673724099951381/15625000000000000000000000 292394855555157362587232469/500000000000000000000000000 340995921342689348585878857/500000000000000000000000000
231442396475605738588527669/250000000000000000000000000 292394855555157362587232469/500000000000000000000000000 766157806243053180291072189/500000000000000000000000000 703850236424068061524689063/500000000000000000000000000
210603335842336074687471173/250000000000000000000000000 340995921342689348585878857/500000000000000000000000000 703850236424068061524689063/500000000000000000000000000 874291474751499493736686721/500000000000000000000000000


--- 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 :
13446132326492027825582229/1000000000000000000000000000 19374062770656936509357793/1000000000000000000000000000 1074161945692630404925191/1000000000000000000000000000 -5178588651103884847898421/500000000000000000000000000 -14380987465787509315869033/1000000000000000000000000000 -3234674100257097189657921/250000000000000000000000000
19374062770656936509357793/1000000000000000000000000000 79873249842465239506848681/1000000000000000000000000000 1547722451908740715486047/1000000000000000000000000000 -7461647644894059688679757/500000000000000000000000000 -20721062904159824087403321/1000000000000000000000000000 -1165182250592509311311853/62500000000000000000000000
1074161945692630404925191/1000000000000000000000000000 1547722451908740715486047/1000000000000000000000000000 85810838206677050512089/1000000000000000000000000000 -413698357739036592205659/500000000000000000000000000 -1148844076656633216377487/1000000000000000000000000000 -64601547509093343292881/62500000000000000000000000
-5178588651103884847898421/500000000000000000000000000 -7461647644894059688679757/500000000000000000000000000 -413698357739036592205659/500000000000000000000000000 1994460545691986781700929/250000000000000000000000000 5538634952689312891197117/500000000000000000000000000 38930912852091096443847/3906250000000000000000000
-14380987465787509315869033/1000000000000000000000000000 -20721062904159824087403321/1000000000000000000000000000 -1148844076656633216377487/1000000000000000000000000000 5538634952689312891197117/500000000000000000000000000 3076167859566097334689829/200000000000000000000000000 1729783946869756557025607/125000000000000000000000000
-3234674100257097189657921/250000000000000000000000000 -1165182250592509311311853/62500000000000000000000000 -64601547509093343292881/62500000000000000000000000 38930912852091096443847/3906250000000000000000000 1729783946869756557025607/125000000000000000000000000 124504103107886543725279/10000000000000000000000000


--- 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 :
612028772893808353982188289/1000000000000000000000000000 -41800294800220497451723211/250000000000000000000000000 -222413820100209000741237869/1000000000000000000000000000 -4103818125426630800609/3906250000000000000000000 4103818125426630800609/3906250000000000000000000 -26264429206667502510959/25000000000000000000000000 -926271718127185822658067/1000000000000000000000000000 4055937921974031508385311/500000000000000000000000000 -8885384572281450356510121/1000000000000000000000000000 386752252653989349672073/1000000000000000000000000000
-41800294800220497451723211/250000000000000000000000000 306014386558972804312888723/500000000000000000000000000 -44482764870765058180855307/200000000000000000000000000 3283054867677366683413/3125000000000000000000000 -3283054867677366683413/3125000000000000000000000 105057689288517077657681/100000000000000000000000000 -926272292203613199666003/1000000000000000000000000000 -8885384544682399014881033/1000000000000000000000000000 2027969080252987345618203/250000000000000000000000000 48343969541787992524951/125000000000000000000000000
-222413820100209000741237869/1000000000000000000000000000 -44482764870765058180855307/200000000000000000000000000 612028788357225419506741409/1000000000000000000000000000 -262644400353695160524413/250000000000000000000000000 262644400353695160524413/250000000000000000000000000 1050577493788863344226821/1000000000000000000000000000 185253423617353631257749/200000000000000000000000000 96688169535826410470209/250000000000000000000000000 24171968666662456804407/62500000000000000000000000 4055940471221792280252619/500000000000000000000000000
-4103818125426630800609/3906250000000000000000000 3283054867677366683413/3125000000000000000000000 -262644400353695160524413/250000000000000000000000000 573277619744709432606369/100000000000000000000000000 -573277619744709432606369/100000000000000000000000000 -35380990585743837/500000000000000000000000000 -11547180637592063/25000000000000000000000000 -11593801556462354254931641/500000000000000000000000000 11593801360231881359567453/500000000000000000000000000 -289845039831922888986983/12500000000000000000000000
4103818125426630800609/3906250000000000000000000 -3283054867677366683413/3125000000000000000000000 262644400353695160524413/250000000000000000000000000 -573277619744709432606369/100000000000000000000000000 573277619744709432606369/100000000000000000000000000 35380990585743837/500000000000000000000000000 11547180637592063/25000000000000000000000000 11593801556462354254931641/500000000000000000000000000 -11593801360231881359567453/500000000000000000000000000 289845039831922888986983/12500000000000000000000000
-26264429206667502510959/25000000000000000000000000 105057689288517077657681/100000000000000000000000000 1050577493788863344226821/1000000000000000000000000000 -35380990585743837/500000000000000000000000000 35380990585743837/500000000000000000000000000 5732776172290274501519001/1000000000000000000000000000 77212829887801463/200000000000000000000000000 -2318760265408112524229867/100000000000000000000000000 23187602978706440290848589/1000000000000000000000000000 23187603286857030631901009/1000000000000000000000000000
-926271718127185822658067/1000000000000000000000000000 -926272292203613199666003/1000000000000000000000000000 185253423617353631257749/200000000000000000000000000 -11547180637592063/25000000000000000000000000 11547180637592063/25000000000000000000000000 77212829887801463/200000000000000000000000000 81695249112656207158845007/1000000000000000000000000000 8527730467407205138047801/250000000000000000000000000 17055460815612661549309061/500000000000000000000000000 -2131932404931611015357823/62500000000000000000000000
4055937921974031508385311/500000000000000000000000000 -8885384544682399014881033/1000000000000000000000000000 96688169535826410470209/250000000000000000000000000 -11593801556462354254931641/500000000000000000000000000 11593801556462354254931641/500000000000000000000000000 -2318760265408112524229867/100000000000000000000000000 8527730467407205138047801/250000000000000000000000000 201818390330062200881157947/1000000000000000000000000000 -8666656783829765091380133/50000000000000000000000000 -3560656554242422225672709/250000000000000000000000000
-8885384572281450356510121/1000000000000000000000000000 2027969080252987345618203/250000000000000000000000000 24171968666662456804407/62500000000000000000000000 11593801360231881359567453/500000000000000000000000000 -11593801360231881359567453/500000000000000000000000000 23187602978706440290848589/1000000000000000000000000000 17055460815612661549309061/500000000000000000000000000 -8666656783829765091380133/50000000000000000000000000 50454597523608144541044949/250000000000000000000000000 -7121312775191054234590419/500000000000000000000000000
386752252653989349672073/1000000000000000000000000000 48343969541787992524951/125000000000000000000000000 4055940471221792280252619/500000000000000000000000000 -289845039831922888986983/12500000000000000000000000 289845039831922888986983/12500000000000000000000000 23187603286857030631901009/1000000000000000000000000000 -2131932404931611015357823/62500000000000000000000000 -3560656554242422225672709/250000000000000000000000000 -7121312775191054234590419/500000000000000000000000000 100909195851279664982590837/500000000000000000000000000


--- 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 :
31635774672518278854088647/250000000000000000000000000 59968374285205188985615217/1000000000000000000000000000 -28309140109332077730959613/1000000000000000000000000000 -1465207450078956077932519/50000000000000000000000000 -298659938898310625994604799/1000000000000000000000000000 6362665949023970862389803/500000000000000000000000000
59968374285205188985615217/1000000000000000000000000000 71501583934220248495539929/500000000000000000000000000 3481731475884423376280339/250000000000000000000000000 -29064052870867230046289741/1000000000000000000000000000 -948739229787242970919462323/1000000000000000000000000000 170053728847440492688435689/250000000000000000000000000
-28309140109332077730959613/1000000000000000000000000000 3481731475884423376280339/250000000000000000000000000 18759650137486047093965589/200000000000000000000000000 2934103763014790991019447/1000000000000000000000000000 -62902316512680290800727311/500000000000000000000000000 31605912788281525816048423/200000000000000000000000000
-1465207450078956077932519/50000000000000000000000000 -29064052870867230046289741/1000000000000000000000000000 2934103763014790991019447/1000000000000000000000000000 1099537767621504245512173/125000000000000000000000000 176077844338696319141404213/1000000000000000000000000000 -5765240040477967453778923/62500000000000000000000000
-298659938898310625994604799/1000000000000000000000000000 -948739229787242970919462323/1000000000000000000000000000 -62902316512680290800727311/500000000000000000000000000 176077844338696319141404213/1000000000000000000000000000 6391349094000611255593416383/1000000000000000000000000000 -4779418798333609171667036189/1000000000000000000000000000
6362665949023970862389803/500000000000000000000000000 170053728847440492688435689/250000000000000000000000000 31605912788281525816048423/200000000000000000000000000 -5765240040477967453778923/62500000000000000000000000 -4779418798333609171667036189/1000000000000000000000000000 3968005090905916444527835643/1000000000000000000000000000


--- 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 :
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 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 480830374627459608066738021/500000000000000000000000000 -425815215378415058825409579/1000000000000000000000000000 -5358456103697968791988053/20000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -425815215378415058825409579/1000000000000000000000000000 480830374299855629297801991/500000000000000000000000000 -267922805424091082952508209/1000000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -5358456103697968791988053/20000000000000000000000000 -267922805424091082952508209/1000000000000000000000000000 480830374973873846977283589/500000000000000000000000000 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 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 0/1 0/1

