#Density : 5208711721441827291520842993149/24000000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 647420840455798017281844419/62500000000000000000000000000 0/1 -1481282837315579420862615487/500000000000000000000000000000 2318922031468896722408362233/100000000000000000000000000000 -28804367407565482432305686443/1000000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
0/1 -1481282837315579420862615487/500000000000000000000000000000 0/1 5770808131377597231937101011/250000000000000000000000000000 -638873283726923535257924487/20000000000000000000000000000 2059489960332515360965017481/250000000000000000000000000000
0/1 2318922031468896722408362233/100000000000000000000000000000 0/1 -638873283726923535257924487/20000000000000000000000000000 10933887654019864624667269589/100000000000000000000000000000 -64481900724870910162757808881/1000000000000000000000000000000
0/1 -28804367407565482432305686443/1000000000000000000000000000000 0/1 2059489960332515360965017481/250000000000000000000000000000 -64481900724870910162757808881/1000000000000000000000000000000 80095852062576111828007975729/1000000000000000000000000000000


--- 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 :
176181582645887987000432306737/1000000000000000000000000000000 -289602046495638169371434170657/1000000000000000000000000000000 -333176999736731692560402885523/1000000000000000000000000000000 34858971923904239805638026701/250000000000000000000000000000 69134495794174145534346308089/250000000000000000000000000000 28250744329787950766563031911/500000000000000000000000000000
-289602046495638169371434170657/1000000000000000000000000000000 476039232222320212016771770641/1000000000000000000000000000000 547666444585013547579782320931/1000000000000000000000000000000 -57300141457960050359858708477/250000000000000000000000000000 -113641228355171757626270467881/250000000000000000000000000000 -46437733444735735615014987703/500000000000000000000000000000
-333176999736731692560402885523/1000000000000000000000000000000 547666444585013547579782320931/1000000000000000000000000000000 78758880104316745564987710231/125000000000000000000000000000 -65921803545476617282312376011/250000000000000000000000000000 -13074024844759925985637628561/25000000000000000000000000000 -13356246002800737957320227327/125000000000000000000000000000
34858971923904239805638026701/250000000000000000000000000000 -57300141457960050359858708477/250000000000000000000000000000 -65921803545476617282312376011/250000000000000000000000000000 6897133658027706230190198377/62500000000000000000000000000 2735765466139817089441652677/12500000000000000000000000000 5589641599497162645814516911/125000000000000000000000000000
69134495794174145534346308089/250000000000000000000000000000 -113641228355171757626270467881/250000000000000000000000000000 -13074024844759925985637628561/25000000000000000000000000000 2735765466139817089441652677/12500000000000000000000000000 211943022298675953090050673/488281250000000000000000000 5542863606021322766975091059/62500000000000000000000000000
28250744329787950766563031911/500000000000000000000000000000 -46437733444735735615014987703/500000000000000000000000000000 -13356246002800737957320227327/125000000000000000000000000000 5589641599497162645814516911/125000000000000000000000000000 5542863606021322766975091059/62500000000000000000000000000 814626295553385485240909689/15625000000000000000000000000


--- 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 192078939/10000000000


--- 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 :
1409966251871097854060943007/100000000000000000000000000000 2447064679863408517838648959/500000000000000000000000000000 -9801677528467502298552681673/500000000000000000000000000000
2447064679863408517838648959/500000000000000000000000000000 1664706978720830843674657777/250000000000000000000000000000 -850564290168797867701793909/125000000000000000000000000000
-9801677528467502298552681673/500000000000000000000000000000 -850564290168797867701793909/125000000000000000000000000000 6813842689111965623091211929/250000000000000000000000000000


--- 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 :
238806261/10000000000


--- 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 :
586529408134682580397584490083/1000000000000000000000000000000 52469535359712012659616331591/250000000000000000000000000000 68506687143158067098855822329/250000000000000000000000000000 -517304163627910277879518052549/1000000000000000000000000000000 12875839957852794321061212987/62500000000000000000000000000 -310409621029292607700802800257/1000000000000000000000000000000 -35999124142881469200078729701/1000000000000000000000000000000 -157152840397003759472094836083/1000000000000000000000000000000 -337237899581927194914127927/62500000000000000000000000000 -2184448711257428378886600787/500000000000000000000000000000 -98865385264153199238069944491/250000000000000000000000000000 -41178329566790456304056923643/200000000000000000000000000000
52469535359712012659616331591/250000000000000000000000000000 366868477552223860946253749631/1000000000000000000000000000000 -39050647982281820711833538917/200000000000000000000000000000 97284397636017818948944212827/250000000000000000000000000000 -261457126699375765594677413127/1000000000000000000000000000000 -29142237726111029605025846547/1000000000000000000000000000000 166640931281183144533471622773/1000000000000000000000000000000 114491838841359571963477688009/1000000000000000000000000000000 -13878724640719530403018382003/250000000000000000000000000000 224197573224216470751419967/31250000000000000000000000000 -336092543384157841940267921773/500000000000000000000000000000 -61239832933010110205281677/2000000000000000000000000000
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--- Term 9 ---

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

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

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

Matrix :
280919352825917254541122788961/125000000000000000000000000000 1489963758250491492784400596823/500000000000000000000000000000 712521982101362528451321909559/1000000000000000000000000000000 51098941620396929701190684553/1000000000000000000000000000000
1489963758250491492784400596823/500000000000000000000000000000 3951297727564598529133774062343/1000000000000000000000000000000 944783546951414289338364596727/1000000000000000000000000000000 1058683113843818225917950619/15625000000000000000000000000
712521982101362528451321909559/1000000000000000000000000000000 944783546951414289338364596727/1000000000000000000000000000000 1462190544599217449791563332653/1000000000000000000000000000000 -40928581476547186498368436441/1000000000000000000000000000000
51098941620396929701190684553/1000000000000000000000000000000 1058683113843818225917950619/15625000000000000000000000000 -40928581476547186498368436441/1000000000000000000000000000000 729837677547704074634342249999/250000000000000000000000000000


--- 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 :
1933066814892060484216461786429/1000000000000000000000000000000 231202934094070956275704678927/1000000000000000000000000000000 -115573506468717692631901940237/500000000000000000000000000000 104198680691024293356801257587/500000000000000000000000000000 -63690046231990120663393556507/1000000000000000000000000000000 -29618276305600125831142444159/62500000000000000000000000000 -117443030902226817605351625327/1000000000000000000000000000000 -2060894909098058867006802189/50000000000000000000000000000 -119066536993084145098760740737/250000000000000000000000000000 -324713975939566083698377801973/1000000000000000000000000000000
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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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 927700259074964554184586702157/1000000000000000000000000000000 9730836446709335207929723983/250000000000000000000000000000 21460861972687694562932102789/200000000000000000000000000000 2920555759901591107292337289/62500000000000000000000000000 -44715181670544104578514827611/1000000000000000000000000000000
0/1 9730836446709335207929723983/250000000000000000000000000000 659871675867467207824624728707/500000000000000000000000000000 -15126948075565546008300039127/125000000000000000000000000000 24657003306279804890493263539/250000000000000000000000000000 7131415509722582755847773469/100000000000000000000000000000
0/1 21460861972687694562932102789/200000000000000000000000000000 -15126948075565546008300039127/125000000000000000000000000000 290538490741478531412154127321/200000000000000000000000000000 12681011098424954276815331981/250000000000000000000000000000 -134362467741830048578365360199/1000000000000000000000000000000
0/1 2920555759901591107292337289/62500000000000000000000000000 24657003306279804890493263539/250000000000000000000000000000 12681011098424954276815331981/250000000000000000000000000000 361377739413646280825056428323/500000000000000000000000000000 5156813722410883781364801207/100000000000000000000000000000
0/1 -44715181670544104578514827611/1000000000000000000000000000000 7131415509722582755847773469/100000000000000000000000000000 -134362467741830048578365360199/1000000000000000000000000000000 5156813722410883781364801207/100000000000000000000000000000 1288890114765188079766609832553/1000000000000000000000000000000


--- 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 30748178306980609387677556597/250000000000000000000000000000 0/1 -10545993616526039865296660669/250000000000000000000000000000 0/1 -7685396959329327386018790811/250000000000000000000000000000 -2615045662157354434472667573/125000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -10545993616526039865296660669/250000000000000000000000000000 0/1 258328796771918495029499231011/1000000000000000000000000000000 0/1 -697538192893133777316757367/31250000000000000000000000000 -11770937419432893727002196281/200000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -7685396959329327386018790811/250000000000000000000000000000 0/1 -697538192893133777316757367/31250000000000000000000000000 0/1 55252991907162997958630656477/500000000000000000000000000000 -1111954851753848181848720709/25000000000000000000000000000
0/1 0/1 0/1 -2615045662157354434472667573/125000000000000000000000000000 0/1 -11770937419432893727002196281/200000000000000000000000000000 0/1 -1111954851753848181848720709/25000000000000000000000000000 450898988377249880401306034239/1000000000000000000000000000000


--- 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 :
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 1447217019792080053761333076503/1000000000000000000000000000000 -41024184547529304759473514099/200000000000000000000000000000 -117931551296416800319897763059/250000000000000000000000000000 -4146094178031107841335965223/500000000000000000000000000000 43995481357620744675329308279/1000000000000000000000000000000
0/1 0/1 -41024184547529304759473514099/200000000000000000000000000000 361804254887456657287839912639/250000000000000000000000000000 -192592472944411436994623569487/250000000000000000000000000000 4146094304936665977390007293/500000000000000000000000000000 -21997740683968390499408304967/500000000000000000000000000000
0/1 0/1 -117931551296416800319897763059/250000000000000000000000000000 -192592472944411436994623569487/250000000000000000000000000000 723608509748068114170752138463/500000000000000000000000000000 4146094199349532788137706647/500000000000000000000000000000 21997740689766669871390251447/500000000000000000000000000000
0/1 0/1 -4146094178031107841335965223/500000000000000000000000000000 4146094304936665977390007293/500000000000000000000000000000 4146094199349532788137706647/500000000000000000000000000000 230692420695835089167238871577/500000000000000000000000000000 -1660852973250810267/62500000000000000000000000000
0/1 0/1 43995481357620744675329308279/1000000000000000000000000000000 -21997740683968390499408304967/500000000000000000000000000000 21997740689766669871390251447/500000000000000000000000000000 -1660852973250810267/62500000000000000000000000000 214619452780736245137062847669/500000000000000000000000000000


--- 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 :
17316862491794253291911470467/12500000000000000000000000000 -83203926433204211702142787/625000000000000000000000000 -4623310901884359896675415911/25000000000000000000000000000 -502628152549445901836156783/200000000000000000000000000000 -76183465303294558420335590019/500000000000000000000000000000 -179845716639934763305372359083/1000000000000000000000000000000 4293246362299936165317316553/1000000000000000000000000000000 -90784620538434648906697144329/1000000000000000000000000000000 -752254711847623156221132941/10000000000000000000000000000 16717379262837708509279667147/500000000000000000000000000000 33717399443124293936769611577/1000000000000000000000000000000 -14756293619782825586759575227/200000000000000000000000000000
-83203926433204211702142787/625000000000000000000000000 185311024764195674537753457/122070312500000000000000000 -36636201989326336804321981787/250000000000000000000000000000 -1476175618412515274117798513/50000000000000000000000000000 -88294150957511973741589836817/500000000000000000000000000000 -49178358352117985539939628007/250000000000000000000000000000 4194156274505138722832321823/100000000000000000000000000000 1584672473566407644815135043/125000000000000000000000000000 -1940573984436218055280849721/200000000000000000000000000000 11175842062009274054693692929/1000000000000000000000000000000 -53647135593113193998568775287/1000000000000000000000000000000 -91550240614071789423762903481/500000000000000000000000000000
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33717399443124293936769611577/1000000000000000000000000000000 -53647135593113193998568775287/1000000000000000000000000000000 -9017736128315196543912830437/500000000000000000000000000000 -8952285209247756177402544433/125000000000000000000000000000 4136595642642650870345545613/200000000000000000000000000000 -94631990986900668658085914157/1000000000000000000000000000000 -9378406361913412041894195859/62500000000000000000000000000 -361870199573960502417279814743/1000000000000000000000000000000 -22062321251176460253720719243/1000000000000000000000000000000 6274406800062184456867763983/200000000000000000000000000000 124949794562660127984999472053/125000000000000000000000000000 80877196139702503657718927161/1000000000000000000000000000000
-14756293619782825586759575227/200000000000000000000000000000 -91550240614071789423762903481/500000000000000000000000000000 4031072376488876316480956957/500000000000000000000000000000 -21959334404844038156814326293/1000000000000000000000000000000 12033122861006083847359840783/200000000000000000000000000000 3202285353951038790949957729/100000000000000000000000000000 -158536125270233360200594034373/1000000000000000000000000000000 -44837588733359915172660891617/250000000000000000000000000000 -85285540362595297977416539877/1000000000000000000000000000000 -314088073921109064552655193/25000000000000000000000000000 80877196139702503657718927161/1000000000000000000000000000000 25036216238324630331152680833/40000000000000000000000000000


--- 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 :
2491126574737260431723427307431/1000000000000000000000000000000 -43566053942444737306688051631/250000000000000000000000000000 459510415063444584988603609/125000000000000000000000000000 -272018733220931879747006998791/500000000000000000000000000000
-43566053942444737306688051631/250000000000000000000000000000 19871226965753936742124295287/50000000000000000000000000000 1492918594012634983204064663/12500000000000000000000000000 76955277040695381643193633811/250000000000000000000000000000
459510415063444584988603609/125000000000000000000000000000 1492918594012634983204064663/12500000000000000000000000000 407189352050181889287716172171/200000000000000000000000000000 281507800970142822617902340813/1000000000000000000000000000000
-272018733220931879747006998791/500000000000000000000000000000 76955277040695381643193633811/250000000000000000000000000000 281507800970142822617902340813/1000000000000000000000000000000 943954109018878485955180489383/1000000000000000000000000000000


--- 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 :
1418462519015737344703252111/25000000000000000000000000000 544933212310979680463157793/50000000000000000000000000000 8688964002950551939813018239/500000000000000000000000000000 2091995698148663686082298027/125000000000000000000000000000 448611260122698191593930807/125000000000000000000000000000 -2465185280402188932066120443/31250000000000000000000000000
544933212310979680463157793/50000000000000000000000000000 36430058813189470732600526057/200000000000000000000000000000 -14686380101905245423142125367/1000000000000000000000000000000 -38735463837654480603921484929/1000000000000000000000000000000 -30687071733094587440755771609/1000000000000000000000000000000 -3788218063681520028174905119/250000000000000000000000000000
8688964002950551939813018239/500000000000000000000000000000 -14686380101905245423142125367/1000000000000000000000000000000 14316562953629751521590148071/250000000000000000000000000000 830350915834764060040760931/200000000000000000000000000000 -11718327584534998942440269413/1000000000000000000000000000000 -2416126573919570292200478191/100000000000000000000000000000
2091995698148663686082298027/125000000000000000000000000000 -38735463837654480603921484929/1000000000000000000000000000000 830350915834764060040760931/200000000000000000000000000000 197183868420665043935789793507/1000000000000000000000000000000 -27101707557188322389706232347/1000000000000000000000000000000 -2326871833375395522457030479/100000000000000000000000000000
448611260122698191593930807/125000000000000000000000000000 -30687071733094587440755771609/1000000000000000000000000000000 -11718327584534998942440269413/1000000000000000000000000000000 -27101707557188322389706232347/1000000000000000000000000000000 54166132428592907764902719657/1000000000000000000000000000000 -1247446283304147248949318117/250000000000000000000000000000
-2465185280402188932066120443/31250000000000000000000000000 -3788218063681520028174905119/250000000000000000000000000000 -2416126573919570292200478191/100000000000000000000000000000 -2326871833375395522457030479/100000000000000000000000000000 -1247446283304147248949318117/250000000000000000000000000000 54839215933519987423337533013/500000000000000000000000000000


--- 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 :
994552098051348515245518589543/1000000000000000000000000000000 -122447963611713322943799530547/250000000000000000000000000000 -126190060910469280734850866077/500000000000000000000000000000 -8300013385906497399303337/12500000000000000000000000000 332000569921651372196607851/500000000000000000000000000000 -25937545327914265768213/39062500000000000000000000 15216862501504702664930119521/1000000000000000000000000000000 -12909736009751537769734152203/500000000000000000000000000000 -31565597601491146271919548547/1000000000000000000000000000000 28692534722672722105356458433/1000000000000000000000000000000
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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 :
2553004507107559955667030323/62500000000000000000000000000 -58176211947371347721585317609/500000000000000000000000000000 7835794613872264817057076379/200000000000000000000000000000 20997546390788654415067802883/500000000000000000000000000000 3150630841477866419409880319/40000000000000000000000000000 -121731294535993591550607288329/1000000000000000000000000000000
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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 :
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 322590490232113848289403698021/250000000000000000000000000000 -66029314530930684915130845383/500000000000000000000000000000 -72393958251711385828844819413/125000000000000000000000000000 0/1 -658876602617263334365194107/20000000000000000000000000000 658876600310340885151935383/20000000000000000000000000000 -16471914966475661029652991549/500000000000000000000000000000
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