#Density : 2742163949198129687515092383/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 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 :
7314631326483204810956129/250000000000000000000000000 340788603371131752135117/31250000000000000000000000 -823493025154244663718617/31250000000000000000000000 -22425167990532549008262223/250000000000000000000000000 12758102902262585156353649/125000000000000000000000000 741184165300254642759039/31250000000000000000000000
340788603371131752135117/31250000000000000000000000 11772510669525343537895049/250000000000000000000000000 -2790361952821192433968689/250000000000000000000000000 -16596652460229751963506387/250000000000000000000000000 -12016363012865372816409153/250000000000000000000000000 22337168332866432356274993/250000000000000000000000000
-823493025154244663718617/31250000000000000000000000 -2790361952821192433968689/250000000000000000000000000 5943878682033364003214873/250000000000000000000000000 4090759572808273297660591/50000000000000000000000000 -22311000840980146437836951/250000000000000000000000000 -5967064533855013663265049/250000000000000000000000000
-22425167990532549008262223/250000000000000000000000000 -16596652460229751963506387/250000000000000000000000000 4090759572808273297660591/50000000000000000000000000 37530389032533819091200361/125000000000000000000000000 -61740039730188426607736939/250000000000000000000000000 -33594020102767639013598651/250000000000000000000000000
12758102902262585156353649/125000000000000000000000000 -12016363012865372816409153/250000000000000000000000000 -22311000840980146437836951/250000000000000000000000000 -61740039730188426607736939/250000000000000000000000000 26418362792786866725450553/50000000000000000000000000 -3919258213141760323057077/50000000000000000000000000
741184165300254642759039/31250000000000000000000000 22337168332866432356274993/250000000000000000000000000 -5967064533855013663265049/250000000000000000000000000 -33594020102767639013598651/250000000000000000000000000 -3919258213141760323057077/50000000000000000000000000 8493640590160515133133061/50000000000000000000000000


--- 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 :
129191412269971588160429387/1000000000000000000000000000 56416186019704205805104261/500000000000000000000000000 -16070131030958513638904641/200000000000000000000000000 -175969932884330763764672271/500000000000000000000000000 60421166163193465264129799/1000000000000000000000000000 -261262043556090214571837417/1000000000000000000000000000
56416186019704205805104261/500000000000000000000000000 138352877180784366183035779/250000000000000000000000000 -418947973846856333021942907/500000000000000000000000000 -4140647535909848829258843/50000000000000000000000000 -1243547312680195481865651/4000000000000000000000000 -191037924906114410070027959/500000000000000000000000000
-16070131030958513638904641/200000000000000000000000000 -418947973846856333021942907/500000000000000000000000000 1345724529037195560923992459/1000000000000000000000000000 -80062298024438742099460731/500000000000000000000000000 576198096010412081958975959/1000000000000000000000000000 422237087179841492485236071/1000000000000000000000000000
-175969932884330763764672271/500000000000000000000000000 -4140647535909848829258843/50000000000000000000000000 -80062298024438742099460731/500000000000000000000000000 534804436762564102105372209/500000000000000000000000000 -172065376186105734781100703/500000000000000000000000000 317873222325192197712705057/500000000000000000000000000
60421166163193465264129799/1000000000000000000000000000 -1243547312680195481865651/4000000000000000000000000 576198096010412081958975959/1000000000000000000000000000 -172065376186105734781100703/500000000000000000000000000 318994974541291857655795027/1000000000000000000000000000 848332767463121839910947/1000000000000000000000000000
-261262043556090214571837417/1000000000000000000000000000 -191037924906114410070027959/500000000000000000000000000 422237087179841492485236071/1000000000000000000000000000 317873222325192197712705057/500000000000000000000000000 848332767463121839910947/1000000000000000000000000000 580414967903724718609234931/1000000000000000000000000000


--- 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 :
718777395858412987739402899/1000000000000000000000000000 2412410694897815739162548489/1000000000000000000000000000 -3445156521073092735729573/62500000000000000000000000 281497144218580995094282051/500000000000000000000000000 -867511266837956731681265629/1000000000000000000000000000 16584676509592383013850287/125000000000000000000000000 -352375810021396352931581/10000000000000000000000000 -1959789058857778382770093787/1000000000000000000000000000 -175249522412845596191250521/100000000000000000000000000 33029153717245827967674967/62500000000000000000000000 -89825456940126502566194869/100000000000000000000000000 -4421995572653992023735233/10000000000000000000000000
2412410694897815739162548489/1000000000000000000000000000 4631252385346637243540502717/500000000000000000000000000 -112953291715623027912844203/200000000000000000000000000 511980860389435496329380471/200000000000000000000000000 -688338328273062110697658773/200000000000000000000000000 238326752473781514708729943/500000000000000000000000000 160554280111882911144098543/1000000000000000000000000000 -446332161030201376584686291/62500000000000000000000000 -6505921978647104764261880501/1000000000000000000000000000 186360003536921169502589763/100000000000000000000000000 -823135506832430357280012121/250000000000000000000000000 -1828017387037412267771146783/1000000000000000000000000000
-3445156521073092735729573/62500000000000000000000000 -112953291715623027912844203/200000000000000000000000000 149316408437774846470376499/1000000000000000000000000000 -274364723114044176437764211/1000000000000000000000000000 126832958614044794424688337/500000000000000000000000000 -1296832146257330575752173/125000000000000000000000000 -98302144535693508987174651/1000000000000000000000000000 12668367514229069304188693/40000000000000000000000000 313370996760921293177319523/1000000000000000000000000000 -17546482704046153958626529/250000000000000000000000000 36446798334540893263137643/250000000000000000000000000 169544450637368167484481487/1000000000000000000000000000
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-4421995572653992023735233/10000000000000000000000000 -1828017387037412267771146783/1000000000000000000000000000 169544450637368167484481487/1000000000000000000000000000 -558254818352900987073070831/1000000000000000000000000000 28241311958272521259838831/40000000000000000000000000 -233199252062632924506877461/1000000000000000000000000000 -89549289136899275081290959/500000000000000000000000000 1352947447527343789239997491/1000000000000000000000000000 617689349388432902608226053/500000000000000000000000000 -40073854209529420483233709/100000000000000000000000000 619549238953527656425766223/1000000000000000000000000000 411767493278371150271781961/500000000000000000000000000


--- 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 :
1810494779464736401131882077/1000000000000000000000000000 165906161531867569398660771/100000000000000000000000000 -7597658149435083796594377/500000000000000000000000000 1259551847736090202675842871/500000000000000000000000000
165906161531867569398660771/100000000000000000000000000 304058920759503301004892483/200000000000000000000000000 -69621758344796054800929/5000000000000000000000000 115420057933237633775101077/50000000000000000000000000
-7597658149435083796594377/500000000000000000000000000 -69621758344796054800929/5000000000000000000000000 31883223310228638692817/250000000000000000000000000 -5285651452647242443482411/250000000000000000000000000
1259551847736090202675842871/500000000000000000000000000 115420057933237633775101077/50000000000000000000000000 -5285651452647242443482411/250000000000000000000000000 1066183111163857505614987973/250000000000000000000000000


--- 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 :
544190561185285636810421321/500000000000000000000000000 -899393750069416335663917947/1000000000000000000000000000 -30493354426992591900174139/50000000000000000000000000 5182387711880131253649877/5000000000000000000000000 33119149548246254974538309/100000000000000000000000000 53309397209128769656304449/1000000000000000000000000000 -856467970796234248666363/1250000000000000000000000 465421629859343095248782893/1000000000000000000000000000 87719072144667218038901167/500000000000000000000000000 -770984810358258749423828093/1000000000000000000000000000
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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 :
1201085411009442220635955463/200000000000000000000000000 -1072101698713983111516721683/250000000000000000000000000 35682753945837999305644159/62500000000000000000000000 -5695861439346989554818273/31250000000000000000000000 33499806977955678037779739/200000000000000000000000000 189675529542091024610793493/1000000000000000000000000000
-1072101698713983111516721683/250000000000000000000000000 153724373391088610561619737/50000000000000000000000000 -79120299576210882539977253/250000000000000000000000000 20597432930140382714592409/500000000000000000000000000 -88963224393738693526595051/1000000000000000000000000000 -47656678447226423970014941/1000000000000000000000000000
35682753945837999305644159/62500000000000000000000000 -79120299576210882539977253/250000000000000000000000000 2382931598365396073529615941/1000000000000000000000000000 -305059802730653001275240727/200000000000000000000000000 122657857657241831314620967/500000000000000000000000000 543499318270508267589300709/500000000000000000000000000
-5695861439346989554818273/31250000000000000000000000 20597432930140382714592409/500000000000000000000000000 -305059802730653001275240727/200000000000000000000000000 1857222159396159929359749761/1000000000000000000000000000 -9152790600919492749573439/40000000000000000000000000 -1060329885806618033399544263/1000000000000000000000000000
33499806977955678037779739/200000000000000000000000000 -88963224393738693526595051/1000000000000000000000000000 122657857657241831314620967/500000000000000000000000000 -9152790600919492749573439/40000000000000000000000000 10218319988952819176055151/125000000000000000000000000 226079117154790666652275691/1000000000000000000000000000
189675529542091024610793493/1000000000000000000000000000 -47656678447226423970014941/1000000000000000000000000000 543499318270508267589300709/500000000000000000000000000 -1060329885806618033399544263/1000000000000000000000000000 226079117154790666652275691/1000000000000000000000000000 1336349916193428331688610761/1000000000000000000000000000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

Flags :
F1  : {1, 2}
F2  : {1, 2, 4}
F3  : {1, 2, 5}
F4  : {1, 2, 4, 5}
F5  : {1, 2, 6}
F6  : {1, 2, 4, 6}
F7  : {1, 2, 5, 6}
F8  : {1, 2, 4, 5, 6}
F9  : {1, 2, 7}
F10 : {1, 2, 4, 7}
F11 : {1, 2, 5, 7}
F12 : {1, 2, 4, 5, 7}
F13 : {1, 2, 6, 7}
F14 : {1, 2, 4, 6, 7}
F15 : {1, 2, 5, 6, 7}
F16 : {1, 2, 4, 5, 6, 7}

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

Matrix :
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 8026567831516216145369933/125000000000000000000000000 0/1 0/1 0/1 0/1 -273302650726924078943949/12500000000000000000000000
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 -273302650726924078943949/12500000000000000000000000 0/1 0/1 0/1 0/1 3988320078407727036782777/25000000000000000000000000


--- 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 :
13217199060989598252871801/250000000000000000000000000 -13731166316409299/250000000000000000000000000 1207688826165954993115489/100000000000000000000000000 -3019222049515843463325117/250000000000000000000000000 -6038444864200606407184799/500000000000000000000000000 204445145839885224997019/100000000000000000000000000 -12065185810488853/31250000000000000000000000
-13731166316409299/250000000000000000000000000 10365028301161083540411203/500000000000000000000000000 30734039141260874261565643/500000000000000000000000000 -30734039129535400593391379/500000000000000000000000000 30734039387480001579980273/500000000000000000000000000 -2332115321518577/62500000000000000000000000 24115378281766232218576307/250000000000000000000000000
1207688826165954993115489/100000000000000000000000000 30734039141260874261565643/500000000000000000000000000 1217956035859727192198435187/1000000000000000000000000000 -68701375164619527895074331/125000000000000000000000000 10342111132237730709211569/200000000000000000000000000 467016609850707008455227/1000000000000000000000000000 143012245598581016943922053/500000000000000000000000000
-3019222049515843463325117/250000000000000000000000000 -30734039129535400593391379/500000000000000000000000000 -68701375164619527895074331/125000000000000000000000000 608978017215061098726470603/500000000000000000000000000 -360027795026136064815335993/500000000000000000000000000 -233508140484507121944857/500000000000000000000000000 -7150612292059048763145661/25000000000000000000000000
-6038444864200606407184799/500000000000000000000000000 30734039387480001579980273/500000000000000000000000000 10342111132237730709211569/200000000000000000000000000 -360027795026136064815335993/500000000000000000000000000 1217956035057230383378494797/1000000000000000000000000000 -93403382035601463942801/200000000000000000000000000 71506123192114482794048919/250000000000000000000000000
204445145839885224997019/100000000000000000000000000 -2332115321518577/62500000000000000000000000 467016609850707008455227/1000000000000000000000000000 -233508140484507121944857/500000000000000000000000000 -93403382035601463942801/200000000000000000000000000 79059522113232392785581/1000000000000000000000000000 -89338182650209017/500000000000000000000000000
-12065185810488853/31250000000000000000000000 24115378281766232218576307/250000000000000000000000000 143012245598581016943922053/500000000000000000000000000 -7150612292059048763145661/25000000000000000000000000 71506123192114482794048919/250000000000000000000000000 -89338182650209017/500000000000000000000000000 112214159532499777973446187/250000000000000000000000000


--- 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 :
49801602214377991567355959/100000000000000000000000000 37274611333850859313927653/125000000000000000000000000 248035832408517577015299331/1000000000000000000000000000 -165851042283296300048903861/1000000000000000000000000000 -648783154424755804606754919/1000000000000000000000000000 -522841962996899934985611563/1000000000000000000000000000 136513845370605491306410417/500000000000000000000000000 -9702792828148231218433679/31250000000000000000000000 -23135375981765029725943419/100000000000000000000000000 12033961241618099548131401/500000000000000000000000000 102172440796589576503507443/1000000000000000000000000000 -8006376197454436476302557/500000000000000000000000000
37274611333850859313927653/125000000000000000000000000 413790660418145623518586187/500000000000000000000000000 148953949879519111269224173/1000000000000000000000000000 -108116907249337705570268511/1000000000000000000000000000 -388769269436371099921678377/1000000000000000000000000000 -341185643368457611399298109/1000000000000000000000000000 98006687094290863493594807/500000000000000000000000000 -43633138017013528180322659/250000000000000000000000000 -22525028869884484664500673/250000000000000000000000000 -10894597316827196360226111/250000000000000000000000000 102117792306528077176148239/1000000000000000000000000000 -195010656082480558777159203/500000000000000000000000000
248035832408517577015299331/1000000000000000000000000000 148953949879519111269224173/1000000000000000000000000000 127810186550200862804544111/200000000000000000000000000 -89793345651382468259302067/1000000000000000000000000000 -64673600007082777789765027/200000000000000000000000000 -283356812334102678538609079/1000000000000000000000000000 81268106366863415796175017/500000000000000000000000000 -72675110856514975182395349/500000000000000000000000000 -113134533567284723583758297/1000000000000000000000000000 -47886455388388745462565581/1000000000000000000000000000 42152382512299052626755687/500000000000000000000000000 -159255147393752678410132353/500000000000000000000000000
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136513845370605491306410417/500000000000000000000000000 98006687094290863493594807/500000000000000000000000000 81268106366863415796175017/500000000000000000000000000 -23387988818544074271207973/250000000000000000000000000 -88942902801682846371460821/250000000000000000000000000 -9219524092906242316535723/31250000000000000000000000 159383692262147756123314769/1000000000000000000000000000 -166826481652300131224644521/1000000000000000000000000000 -102768364265877200472370499/1000000000000000000000000000 175600376246347948350611/1000000000000000000000000000 26649507487754280635707/390625000000000000000000 -122227152115829442422704543/1000000000000000000000000000
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-23135375981765029725943419/100000000000000000000000000 -22525028869884484664500673/250000000000000000000000000 -113134533567284723583758297/1000000000000000000000000000 70528571434070592379835787/1000000000000000000000000000 60234521185637154210403173/200000000000000000000000000 44416284104963773057431651/200000000000000000000000000 -102768364265877200472370499/1000000000000000000000000000 152656053074167457344069739/1000000000000000000000000000 303191878930772517954107551/1000000000000000000000000000 -61870978664829711998360799/1000000000000000000000000000 -17177854678859508532393871/1000000000000000000000000000 -54799316871719805613597551/200000000000000000000000000
12033961241618099548131401/500000000000000000000000000 -10894597316827196360226111/250000000000000000000000000 -47886455388388745462565581/1000000000000000000000000000 -4489397593708898868696173/1000000000000000000000000000 -31235044493431543775362503/1000000000000000000000000000 -14012930172191238655537793/1000000000000000000000000000 175600376246347948350611/1000000000000000000000000000 -19558970488285056040891051/1000000000000000000000000000 -61870978664829711998360799/1000000000000000000000000000 12799068132420295835044379/200000000000000000000000000 -11445946911985082604773211/1000000000000000000000000000 30294176286559343819958527/200000000000000000000000000
102172440796589576503507443/1000000000000000000000000000 102117792306528077176148239/1000000000000000000000000000 42152382512299052626755687/500000000000000000000000000 -7466422667353340664674517/200000000000000000000000000 -133215344849026743447156703/1000000000000000000000000000 -58909905106064010313539051/500000000000000000000000000 26649507487754280635707/390625000000000000000000 -59429403031515318575611989/1000000000000000000000000000 -17177854678859508532393871/1000000000000000000000000000 -11445946911985082604773211/1000000000000000000000000000 18162660238987304276301919/500000000000000000000000000 -73025956388326298287959223/500000000000000000000000000
-8006376197454436476302557/500000000000000000000000000 -195010656082480558777159203/500000000000000000000000000 -159255147393752678410132353/500000000000000000000000000 18028079058734786957718797/500000000000000000000000000 10949074303489944609973057/500000000000000000000000000 28721130068222881576421539/250000000000000000000000000 -122227152115829442422704543/1000000000000000000000000000 -5939615320764099617126247/200000000000000000000000000 -54799316871719805613597551/200000000000000000000000000 30294176286559343819958527/200000000000000000000000000 -73025956388326298287959223/500000000000000000000000000 1327168296915304866562802813/1000000000000000000000000000


--- 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 :
233443135982662021718427629/62500000000000000000000000 1378758437767478113587337281/500000000000000000000000000 155514199314350135443868199/100000000000000000000000000 21926956991407471177594807/50000000000000000000000000
1378758437767478113587337281/500000000000000000000000000 719086988916589101411242931/200000000000000000000000000 65371100879306525107445583/62500000000000000000000000 660447756332535586953287793/1000000000000000000000000000
155514199314350135443868199/100000000000000000000000000 65371100879306525107445583/62500000000000000000000000 3715027988472242830396649669/1000000000000000000000000000 1320323308471768827276988977/1000000000000000000000000000
21926956991407471177594807/50000000000000000000000000 660447756332535586953287793/1000000000000000000000000000 1320323308471768827276988977/1000000000000000000000000000 317261253766044691678259387/250000000000000000000000000


--- 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 :
344560295011396787823072607/1000000000000000000000000000 -12839054001617333658690139/1000000000000000000000000000 0/1 -22131850360105336194366023/1000000000000000000000000000 0/1 0/1
-12839054001617333658690139/1000000000000000000000000000 23375507171705022601406791/1000000000000000000000000000 0/1 -3043197796493210841452029/1000000000000000000000000000 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
-22131850360105336194366023/1000000000000000000000000000 -3043197796493210841452029/1000000000000000000000000000 0/1 28997492079644745301039051/1000000000000000000000000000 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 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 :
207211420700963092482851329/500000000000000000000000000 -359203620104394892077027739/1000000000000000000000000000 -27609610605131071884696269/1000000000000000000000000000 -12717054273846324188743741/1000000000000000000000000000 12717054273846324188743741/1000000000000000000000000000 -317926367230979988734703/25000000000000000000000000 396684278233244244562893/500000000000000000000000000 41864425933989818934281161/1000000000000000000000000000 -41864425933989818934281161/1000000000000000000000000000 -26061670148941247/250000000000000000000000000
-359203620104394892077027739/1000000000000000000000000000 207211420963976472014933177/500000000000000000000000000 -43140016550761148916319/1562500000000000000000000 12717054332764819625068851/1000000000000000000000000000 -12717054332764819625068851/1000000000000000000000000000 3179263698903338559076517/250000000000000000000000000 31734726394732739878857/40000000000000000000000000 -41864426320339148393388387/1000000000000000000000000000 41864426320339148393388387/1000000000000000000000000000 10717127281821927/500000000000000000000000000
-27609610605131071884696269/1000000000000000000000000000 -43140016550761148916319/1562500000000000000000000 414422842404240301160610313/1000000000000000000000000000 -3179263567093685005048131/250000000000000000000000000 3179263567093685005048131/250000000000000000000000000 3179263663598533462811881/250000000000000000000000000 -793368094595353324005789/1000000000000000000000000000 84878103801270657/1000000000000000000000000000 -84878103801270657/1000000000000000000000000000 41864426183367845042171577/1000000000000000000000000000
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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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