#Density : 15747142211549462891798397133/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 9, 10, 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 :
80992515840802352026721523/250000000000000000000000000 -59037146617976883588012669/250000000000000000000000000 77544890871054302350215603/250000000000000000000000000 -51012935937123537371874201/125000000000000000000000000 110712743741939688770545509/250000000000000000000000000 19006156123690817141205537/125000000000000000000000000
-59037146617976883588012669/250000000000000000000000000 146434192631417650264799657/250000000000000000000000000 -1269074544748871172908257/7812500000000000000000000 5325372154888382265415783/125000000000000000000000000 -53388146870587112187269237/250000000000000000000000000 -11679892494633752188930841/125000000000000000000000000
77544890871054302350215603/250000000000000000000000000 -1269074544748871172908257/7812500000000000000000000 153386388026596213395496993/500000000000000000000000000 -53744665759300700671773553/125000000000000000000000000 55101762325163043176446969/125000000000000000000000000 9265858661416792763033407/62500000000000000000000000
-51012935937123537371874201/125000000000000000000000000 5325372154888382265415783/125000000000000000000000000 -53744665759300700671773553/125000000000000000000000000 41946523416545152360986251/62500000000000000000000000 -78147520481922036175739071/125000000000000000000000000 -12640845118663749221278963/62500000000000000000000000
110712743741939688770545509/250000000000000000000000000 -53388146870587112187269237/250000000000000000000000000 55101762325163043176446969/125000000000000000000000000 -78147520481922036175739071/125000000000000000000000000 158553304547833526506123993/250000000000000000000000000 26554744776970894358770269/125000000000000000000000000
19006156123690817141205537/125000000000000000000000000 -11679892494633752188930841/125000000000000000000000000 9265858661416792763033407/62500000000000000000000000 -12640845118663749221278963/62500000000000000000000000 26554744776970894358770269/125000000000000000000000000 4505803026270833364248977/62500000000000000000000000


--- 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 :
10500334897531978162863/800000000000000000000000 53507007394499930982921/4000000000000000000000000 -2972358284506820708157/400000000000000000000000 -28252473724687541363289/2000000000000000000000000 56685714431502928670127/4000000000000000000000000 -18794827458883947881061/800000000000000000000000
53507007394499930982921/4000000000000000000000000 272657955032271978289407/20000000000000000000000000 -15146373735716864269419/2000000000000000000000000 -143967343446834808143663/10000000000000000000000000 288855828966163845830409/20000000000000000000000000 -95773609283378676422787/4000000000000000000000000
-2972358284506820708157/400000000000000000000000 -15146373735716864269419/2000000000000000000000000 841393522939245271623/200000000000000000000000 7997504379895950087771/1000000000000000000000000 -16046178959803262523453/2000000000000000000000000 5320302794953768866879/400000000000000000000000
-28252473724687541363289/2000000000000000000000000 -143967343446834808143663/10000000000000000000000000 7997504379895950087771/1000000000000000000000000 76016839401167208143967/5000000000000000000000000 -152520055138203324366681/10000000000000000000000000 50569850783231889604083/2000000000000000000000000
56685714431502928670127/4000000000000000000000000 288855828966163845830409/20000000000000000000000000 -16046178959803262523453/2000000000000000000000000 -152520055138203324366681/10000000000000000000000000 306015974915728973969583/20000000000000000000000000 -101463261174086825114469/4000000000000000000000000
-18794827458883947881061/800000000000000000000000 -95773609283378676422787/4000000000000000000000000 5320302794953768866879/400000000000000000000000 50569850783231889604083/2000000000000000000000000 -101463261174086825114469/4000000000000000000000000 33641359314382024805367/800000000000000000000000


--- 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 :
317343477030105304506012887/1000000000000000000000000000 207757764344059997417773207/1000000000000000000000000000 163320055022484677966340511/500000000000000000000000000 209647534975612977152666321/500000000000000000000000000 171558242647031537511064659/1000000000000000000000000000 122969384235214409321469177/1000000000000000000000000000 -251229128385316448376844933/500000000000000000000000000 -134201048438628139874433031/1000000000000000000000000000 18665581019639753186839457/1000000000000000000000000000 -430652330744447122136352841/1000000000000000000000000000 -58239848632002830255699591/125000000000000000000000000 -34046431156481250224445639/1000000000000000000000000000
207757764344059997417773207/1000000000000000000000000000 221853344222911457287422101/1000000000000000000000000000 137441999042852762498941097/500000000000000000000000000 1269487727573303361293207/4000000000000000000000000 44236017849269631025561203/200000000000000000000000000 108261660835526331270725769/1000000000000000000000000000 -27315274711987918040107171/62500000000000000000000000 -184987772368000823712861287/1000000000000000000000000000 107167592297524884939342433/1000000000000000000000000000 -350539250334983622336531101/1000000000000000000000000000 -118821437615209031176794497/250000000000000000000000000 46246659129978962101439847/1000000000000000000000000000
163320055022484677966340511/500000000000000000000000000 137441999042852762498941097/500000000000000000000000000 94903624114298695416737837/250000000000000000000000000 115515567673741925459798249/250000000000000000000000000 126998798897418924404954791/500000000000000000000000000 73154636636102759600152529/500000000000000000000000000 -37127801191273474611519571/62500000000000000000000000 -103600500771334473976866147/500000000000000000000000000 8672952583657542810104277/100000000000000000000000000 -246025105470106087093351373/500000000000000000000000000 -37539930905776022185110453/62500000000000000000000000 6846048235898740295895447/500000000000000000000000000
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-34046431156481250224445639/1000000000000000000000000000 46246659129978962101439847/1000000000000000000000000000 6846048235898740295895447/500000000000000000000000000 -2689212945761081848635633/250000000000000000000000000 68514747318546775679889501/1000000000000000000000000000 8968531218481984279097919/1000000000000000000000000000 -16200101359305542403100689/500000000000000000000000000 -63152793207390381095202747/1000000000000000000000000000 590449635769076443007619/8000000000000000000000000 -8569773184235824072445523/1000000000000000000000000000 -42976463817014221070089257/500000000000000000000000000 58373765824169761493106627/1000000000000000000000000000


--- 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 :
32357050593222581935558753/125000000000000000000000000 15122768369287134708410691/125000000000000000000000000 -7885881413486240943839723/31250000000000000000000000 3897650326990986963246697/125000000000000000000000000
15122768369287134708410691/125000000000000000000000000 8053273856226269402339371/125000000000000000000000000 -81342857523973196110594049/250000000000000000000000000 -1282114167499390516057/7812500000000000000000000
-7885881413486240943839723/31250000000000000000000000 -81342857523973196110594049/250000000000000000000000000 5704586791669991887979369137/1000000000000000000000000000 178708943722446520588090211/500000000000000000000000000
3897650326990986963246697/125000000000000000000000000 -1282114167499390516057/7812500000000000000000000 178708943722446520588090211/500000000000000000000000000 7827263278763990094860059/250000000000000000000000000


--- 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 :
1509297132619709224761495533/500000000000000000000000000 1116548059714323661965006253/500000000000000000000000000 2074977547044654496552688719/1000000000000000000000000000 -1701320110966569246070791653/1000000000000000000000000000 778346730154502671565057951/250000000000000000000000000 -201728704514575798843851359/200000000000000000000000000 -3581095953514784539178471759/1000000000000000000000000000 -360637309200237370974540573/250000000000000000000000000 -228458747718844222671427357/200000000000000000000000000 -36061728204977019112725899/250000000000000000000000000
1116548059714323661965006253/500000000000000000000000000 12040074200830886131588729/5000000000000000000000000 565116214807715408621682931/250000000000000000000000000 -889913438531814097799294559/500000000000000000000000000 1601172697460446107906225731/500000000000000000000000000 -426966597148074201987121723/500000000000000000000000000 -2079756816739329856433579023/500000000000000000000000000 -204051699416321875372362709/250000000000000000000000000 -205167689863523520417956419/250000000000000000000000000 138661262803016953809033707/500000000000000000000000000
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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 :
5987756595658363843982549/125000000000000000000000000 -8473778200038218501510171/125000000000000000000000000 -4118813712480540390301579/12500000000000000000000000 27392451040898377680936589/250000000000000000000000000 22900967472660521928134629/50000000000000000000000000 631927105029887311747669/7812500000000000000000000
-8473778200038218501510171/125000000000000000000000000 251645804399759942380897559/125000000000000000000000000 52228916831540391989735899/12500000000000000000000000 448058630599382273290704959/250000000000000000000000000 -164778176892448303344871309/50000000000000000000000000 4510325058792614097178093/15625000000000000000000000
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631927105029887311747669/7812500000000000000000000 4510325058792614097178093/15625000000000000000000000 1750893995446694895023143/7812500000000000000000000 18577185577560808763754301/31250000000000000000000000 6773357367389253700556147/31250000000000000000000000 172928895322022377998509/781250000000000000000000


--- 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 :
164849824189655610163558737/250000000000000000000000000 17099848531403354253080499/62500000000000000000000000 14509782100868054365939317/250000000000000000000000000 27494681779967185284610533/50000000000000000000000000 -263196709394696554442344839/500000000000000000000000000 -4494885582121309949702043/7812500000000000000000000 1964291603755799669199669/31250000000000000000000000 -23202782061009892530223509/500000000000000000000000000 -81305282404254581655209391/250000000000000000000000000
17099848531403354253080499/62500000000000000000000000 1773764826467348856707673/15625000000000000000000000 1505097608494025873520159/62500000000000000000000000 2852019382900117376455791/12500000000000000000000000 -27301356775699328682416853/125000000000000000000000000 -466253834349471538284561/1953125000000000000000000 203755685278063394311263/7812500000000000000000000 -2406821242914793482626943/125000000000000000000000000 -8433785239080467578881357/62500000000000000000000000
14509782100868054365939317/250000000000000000000000000 1505097608494025873520159/62500000000000000000000000 1277124665734900097117097/250000000000000000000000000 2420031950419663450881753/50000000000000000000000000 -23166096304652159188860099/500000000000000000000000000 -395631664671233761386663/7812500000000000000000000 172893379129547068257129/31250000000000000000000000 -2042266732731582288586569/500000000000000000000000000 -7156343278704591441032331/250000000000000000000000000
27494681779967185284610533/50000000000000000000000000 2852019382900117376455791/12500000000000000000000000 2420031950419663450881753/50000000000000000000000000 4585734500462367696261897/10000000000000000000000000 -43897588644172634966992851/100000000000000000000000000 -749685050167878859322487/1562500000000000000000000 327616804165910072007321/6250000000000000000000000 -3869904698493636311029881/100000000000000000000000000 -13560602067512676093096219/50000000000000000000000000
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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 :
3627161680546492777796017/50000000000000000000000000 486379672255406457/500000000000000000000000000 31734818051850020158246741/500000000000000000000000000 -31734818046688582120736531/500000000000000000000000000 -15867409355073126746827571/250000000000000000000000000 -4732085791917979794296783/500000000000000000000000000 12242037002118833/50000000000000000000000000
486379672255406457/500000000000000000000000000 114923715319142742881108673/200000000000000000000000000 -423794980906726054824559467/1000000000000000000000000000 423794982145009065826678173/1000000000000000000000000000 -211897490903172365672165859/500000000000000000000000000 -645205210547935059/1000000000000000000000000000 19308467196815046465763359/100000000000000000000000000
31734818051850020158246741/500000000000000000000000000 -423794980906726054824559467/1000000000000000000000000000 675229999467936726030599153/1000000000000000000000000000 -12189965937671063752462439/200000000000000000000000000 -25056036899124830136365971/500000000000000000000000000 -8280406812104394948736729/1000000000000000000000000000 -3560114409330941536887593/25000000000000000000000000
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12242037002118833/50000000000000000000000000 19308467196815046465763359/100000000000000000000000000 -3560114409330941536887593/25000000000000000000000000 3560114414082303594317443/25000000000000000000000000 -356011440764892574898467/2500000000000000000000000 -20610176358265739/100000000000000000000000000 6488076102572415056113649/100000000000000000000000000


--- 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 :
6726442155563093449217981923/500000000000000000000000000 8310725081519452452702104123/1000000000000000000000000000 2437361983577280824557205563/500000000000000000000000000 -975705405301821274677431933/500000000000000000000000000 -61958686227355651022741669/62500000000000000000000000 -2769345206276745445769875867/250000000000000000000000000 2073324588293343461703937383/500000000000000000000000000 4204873377829095795653193203/1000000000000000000000000000 -13351277368095708614160471/500000000000000000000000000 1097038038583810543252653219/1000000000000000000000000000 -3349684514891269058473417883/1000000000000000000000000000 -379626812704673966958559279/200000000000000000000000000
8310725081519452452702104123/1000000000000000000000000000 8002820280580809563684783917/1000000000000000000000000000 1960533370990403721794666931/1000000000000000000000000000 -943077897452808260531881587/1000000000000000000000000000 -3034313451775388383043132401/1000000000000000000000000000 -2475934613953962201719523573/500000000000000000000000000 1741061377420280359130610553/1000000000000000000000000000 1254002906526407725823278407/1000000000000000000000000000 -27023111479375981127791153/125000000000000000000000000 875310814309968115092856899/1000000000000000000000000000 -155020843086634854131339341/62500000000000000000000000 -122389217131599400109358619/500000000000000000000000000
2437361983577280824557205563/500000000000000000000000000 1960533370990403721794666931/1000000000000000000000000000 2062981633202537285050205937/500000000000000000000000000 132950542455708624735353131/100000000000000000000000000 51513865168638494364620273/250000000000000000000000000 -22372856785410723610746867/6250000000000000000000000 -201248794398078176092240157/500000000000000000000000000 1017416644650082415792025831/1000000000000000000000000000 -55643432384014359466171897/100000000000000000000000000 -519576649709853489657611609/1000000000000000000000000000 -283119917000096031727788923/200000000000000000000000000 -12471449535210341782333803/1000000000000000000000000000
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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 :
1119915605791107252979273601/1000000000000000000000000000 900545110333855921018008451/500000000000000000000000000 -118396759136567135114158467/100000000000000000000000000 -671344905110818147471460867/500000000000000000000000000
900545110333855921018008451/500000000000000000000000000 10020757008027719952160606929/1000000000000000000000000000 -45864001539238379777482309/100000000000000000000000000 -412432907826595886285508659/500000000000000000000000000
-118396759136567135114158467/100000000000000000000000000 -45864001539238379777482309/100000000000000000000000000 7724800036137450888699707/5000000000000000000000000 10564039404757682305041033/6250000000000000000000000
-671344905110818147471460867/500000000000000000000000000 -412432907826595886285508659/500000000000000000000000000 10564039404757682305041033/6250000000000000000000000 232469515156057853985318007/125000000000000000000000000


--- 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 :
27861937108301503876580801/125000000000000000000000000 8377184708548986952084227/125000000000000000000000000 -14505503538259264526306417/500000000000000000000000000 -35784860272974054825902983/1000000000000000000000000000 -3301754850171967882530001/62500000000000000000000000 1233001164860428183583639/20000000000000000000000000
8377184708548986952084227/125000000000000000000000000 50861357723353519819490943/500000000000000000000000000 3579775322183561971998009/500000000000000000000000000 5241978109417508879110311/200000000000000000000000000 -27640322589977901273988533/250000000000000000000000000 -14905720572737243472666549/250000000000000000000000000
-14505503538259264526306417/500000000000000000000000000 3579775322183561971998009/500000000000000000000000000 4812363479475686159814863/125000000000000000000000000 11855503429385338250029819/1000000000000000000000000000 -5778947546023393410523069/500000000000000000000000000 -11620829361986339830452797/500000000000000000000000000
-35784860272974054825902983/1000000000000000000000000000 5241978109417508879110311/200000000000000000000000000 11855503429385338250029819/1000000000000000000000000000 22499776788314434910834629/1000000000000000000000000000 -34427138797759590417474671/1000000000000000000000000000 -11329947073770729331836691/250000000000000000000000000
-3301754850171967882530001/62500000000000000000000000 -27640322589977901273988533/250000000000000000000000000 -5778947546023393410523069/500000000000000000000000000 -34427138797759590417474671/1000000000000000000000000000 7650530346787890935386579/62500000000000000000000000 7610394570887138809747541/100000000000000000000000000
1233001164860428183583639/20000000000000000000000000 -14905720572737243472666549/250000000000000000000000000 -11620829361986339830452797/500000000000000000000000000 -11329947073770729331836691/250000000000000000000000000 7610394570887138809747541/100000000000000000000000000 45969940128758241024284177/500000000000000000000000000


--- 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 :
1371479483241288076764919711/1000000000000000000000000000 -668778383169860017985734953/500000000000000000000000000 -16961359459994692648473873/1000000000000000000000000000 -180330067754375391292668549/500000000000000000000000000 72132027328437817677135701/200000000000000000000000000 -2254125842840259256180299/6250000000000000000000000 -33539995955469476598505023/1000000000000000000000000000 2744058811523299261683831/20000000000000000000000000 -213924004679104815439077121/1000000000000000000000000000 19180266146778553183996481/500000000000000000000000000
-668778383169860017985734953/500000000000000000000000000 1371479485882433115410523961/1000000000000000000000000000 -16961358291411666023184487/1000000000000000000000000000 360660135886178142443489523/1000000000000000000000000000 -18033006848448121496551693/50000000000000000000000000 14426405412393158680300813/40000000000000000000000000 -16769996812915170247785471/500000000000000000000000000 -42784800929427676909371077/200000000000000000000000000 68601470318304229785037573/500000000000000000000000000 38360532084827242415554053/1000000000000000000000000000
-16961359459994692648473873/1000000000000000000000000000 -16961358291411666023184487/1000000000000000000000000000 342869870832938962824926693/250000000000000000000000000 -72132027098139270973672997/200000000000000000000000000 360660135318087850432766783/1000000000000000000000000000 72132027483183016439904187/200000000000000000000000000 33539993692839086277097023/1000000000000000000000000000 38360531973014993368620677/1000000000000000000000000000 38360531175975340107087439/1000000000000000000000000000 137202940041311411541195659/1000000000000000000000000000
-180330067754375391292668549/500000000000000000000000000 360660135886178142443489523/1000000000000000000000000000 -72132027098139270973672997/200000000000000000000000000 385549615211216384484125981/1000000000000000000000000000 -296426149257777597798004969/1000000000000000000000000000 -8912346804535190803882649/200000000000000000000000000 767497492419482777/1000000000000000000000000000 -1875714440798886597744153/31250000000000000000000000 6002286230116399257910587/100000000000000000000000000 -937857219778921115122649/15625000000000000000000000
72132027328437817677135701/200000000000000000000000000 -18033006848448121496551693/50000000000000000000000000 360660135318087850432766783/1000000000000000000000000000 -296426149257777597798004969/1000000000000000000000000000 192774807955984120950373439/500000000000000000000000000 -8912346575061573766664839/200000000000000000000000000 -421194477035822703/500000000000000000000000000 30011431062063135655716021/500000000000000000000000000 -3751428912325152820455839/62500000000000000000000000 12004572400991589294954263/200000000000000000000000000
-2254125842840259256180299/6250000000000000000000000 14426405412393158680300813/40000000000000000000000000 72132027483183016439904187/200000000000000000000000000 -8912346804535190803882649/200000000000000000000000000 -8912346575061573766664839/200000000000000000000000000 77109923131682765422207381/200000000000000000000000000 15852338365731401/200000000000000000000000000 -1500571549509321261450641/25000000000000000000000000 3001143097779831267568433/50000000000000000000000000 3001143101635214517216531/50000000000000000000000000
-33539995955469476598505023/1000000000000000000000000000 -16769996812915170247785471/500000000000000000000000000 33539993692839086277097023/1000000000000000000000000000 767497492419482777/1000000000000000000000000000 -421194477035822703/500000000000000000000000000 15852338365731401/200000000000000000000000000 66323178655100046515877721/1000000000000000000000000000 75855480166786655260616261/1000000000000000000000000000 37927740363233245789191343/500000000000000000000000000 -37927740470526713493885813/500000000000000000000000000
2744058811523299261683831/20000000000000000000000000 -42784800929427676909371077/200000000000000000000000000 38360531973014993368620677/1000000000000000000000000000 -1875714440798886597744153/31250000000000000000000000 30011431062063135655716021/500000000000000000000000000 -1500571549509321261450641/25000000000000000000000000 75855480166786655260616261/1000000000000000000000000000 243181946633055109162002573/1000000000000000000000000000 -69666321251422191312138321/1000000000000000000000000000 -8675781307669944967703791/100000000000000000000000000
-213924004679104815439077121/1000000000000000000000000000 68601470318304229785037573/500000000000000000000000000 38360531175975340107087439/1000000000000000000000000000 6002286230116399257910587/100000000000000000000000000 -3751428912325152820455839/62500000000000000000000000 3001143097779831267568433/50000000000000000000000000 37927740363233245789191343/500000000000000000000000000 -69666321251422191312138321/1000000000000000000000000000 243181946812167178975487623/1000000000000000000000000000 -86757813250638838388388607/1000000000000000000000000000
19180266146778553183996481/500000000000000000000000000 38360532084827242415554053/1000000000000000000000000000 137202940041311411541195659/1000000000000000000000000000 -937857219778921115122649/15625000000000000000000000 12004572400991589294954263/200000000000000000000000000 3001143101635214517216531/50000000000000000000000000 -37927740470526713493885813/500000000000000000000000000 -8675781307669944967703791/100000000000000000000000000 -86757813250638838388388607/1000000000000000000000000000 243181946749863715241295959/1000000000000000000000000000


--- 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 :
150907310615599217351929729/1000000000000000000000000000 148812044687421530199350131/1000000000000000000000000000 1217010339718848903247137/500000000000000000000000000 -5020281992902509670358947/200000000000000000000000000 -157928975878569491576374793/1000000000000000000000000000 -37098091301157913072905843/500000000000000000000000000
148812044687421530199350131/1000000000000000000000000000 146745870387024323147650489/1000000000000000000000000000 1200112819093030362442263/500000000000000000000000000 -4950578108003474965232029/200000000000000000000000000 -155736217947356600669766287/1000000000000000000000000000 -36583004481396470283271137/500000000000000000000000000
1217010339718848903247137/500000000000000000000000000 1200112819093030362442263/500000000000000000000000000 2809916337565619140829333/125000000000000000000000000 -404866741099913216917/1000000000000000000000000 -636818708544447288524497/250000000000000000000000000 -299182065485097155748369/250000000000000000000000000
-5020281992902509670358947/200000000000000000000000000 -4950578108003474965232029/200000000000000000000000000 -404866741099913216917/1000000000000000000000000 417528335530087103245253/100000000000000000000000000 1313468496864791557325119/50000000000000000000000000 1234154123948747036227431/100000000000000000000000000
-157928975878569491576374793/1000000000000000000000000000 -155736217947356600669766287/1000000000000000000000000000 -636818708544447288524497/250000000000000000000000000 1313468496864791557325119/50000000000000000000000000 82638678405668926227991213/500000000000000000000000000 38824252730642121594780201/500000000000000000000000000
-37098091301157913072905843/500000000000000000000000000 -36583004481396470283271137/500000000000000000000000000 -299182065485097155748369/250000000000000000000000000 1234154123948747036227431/100000000000000000000000000 38824252730642121594780201/500000000000000000000000000 9119958288136003718953101/250000000000000000000000000


--- 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 137105884237024877381350563/1000000000000000000000000000 -49467238593494858807602503/1000000000000000000000000000 -1095483078976525988020089/25000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -49467238593494858807602503/1000000000000000000000000000 137105884379099983422676953/1000000000000000000000000000 -438193233073263604312497/10000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -1095483078976525988020089/25000000000000000000000000 -438193233073263604312497/10000000000000000000000000 3427647094782911001959157/25000000000000000000000000 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

