#Density : 1818946394107787446239516601/8000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 13, 14, 15}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
259409576395464635480218263/1000000000000000000000000000 -118812016228344343589965203/200000000000000000000000000 143234266429926284609537541/1000000000000000000000000000 -64754768556395275476928887/200000000000000000000000000 707157469814053119572222127/1000000000000000000000000000 -94011521569914880779198813/1000000000000000000000000000
-118812016228344343589965203/200000000000000000000000000 54417016504912502013209343/40000000000000000000000000 -65602635893379189144752121/200000000000000000000000000 29658290644044352449448947/40000000000000000000000000 -323884746072200671126533387/200000000000000000000000000 43058157611683897560504753/200000000000000000000000000
143234266429926284609537541/1000000000000000000000000000 -65602635893379189144752121/200000000000000000000000000 79087500796203445210260687/1000000000000000000000000000 -35754662186700576915577509/200000000000000000000000000 390460455803857205618586189/1000000000000000000000000000 -51908921463638671168946391/1000000000000000000000000000
-64754768556395275476928887/200000000000000000000000000 29658290644044352449448947/40000000000000000000000000 -35754662186700576915577509/200000000000000000000000000 16164322493630305946981463/40000000000000000000000000 -176523237603712787794670223/200000000000000000000000000 23467500334736424151875837/200000000000000000000000000
707157469814053119572222127/1000000000000000000000000000 -323884746072200671126533387/200000000000000000000000000 390460455803857205618586189/1000000000000000000000000000 -176523237603712787794670223/200000000000000000000000000 1927730248290696520219074183/1000000000000000000000000000 -256277931796170189058783077/1000000000000000000000000000
-94011521569914880779198813/1000000000000000000000000000 43058157611683897560504753/200000000000000000000000000 -51908921463638671168946391/1000000000000000000000000000 23467500334736424151875837/200000000000000000000000000 -256277931796170189058783077/1000000000000000000000000000 34070315794421428273096863/1000000000000000000000000000


--- 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 :
18488053568797536347/10000000000000000000000000 -27726013056887113553/5000000000000000000000000 -240525689136885368567/25000000000000000000000000 4302537469976388125119/25000000000000000000000000 -11977993550619936764509/50000000000000000000000000 6889404681330716483497/50000000000000000000000000
-27726013056887113553/5000000000000000000000000 41579920631995066547/2500000000000000000000000 360709599456217655333/12500000000000000000000000 -6452394224540866797181/12500000000000000000000000 17963059461288543320791/25000000000000000000000000 -10331846099317545321403/25000000000000000000000000
-240525689136885368567/25000000000000000000000000 360709599456217655333/12500000000000000000000000 3129188636299280897987/62500000000000000000000000 -55975107717661704470059/62500000000000000000000000 155831177279924446690849/125000000000000000000000000 -89629706153416948474717/125000000000000000000000000
4302537469976388125119/25000000000000000000000000 -6452394224540866797181/12500000000000000000000000 -55975107717661704470059/62500000000000000000000000 1001285971595917921946963/62500000000000000000000000 -2787517132341892322147993/125000000000000000000000000 1603301379290846408135669/125000000000000000000000000
-11977993550619936764509/50000000000000000000000000 17963059461288543320791/25000000000000000000000000 155831177279924446690849/125000000000000000000000000 -2787517132341892322147993/125000000000000000000000000 7760272273379411512593323/250000000000000000000000000 -4463490141539940776170559/250000000000000000000000000
6889404681330716483497/50000000000000000000000000 -10331846099317545321403/25000000000000000000000000 -89629706153416948474717/125000000000000000000000000 1603301379290846408135669/125000000000000000000000000 -4463490141539940776170559/250000000000000000000000000 2567273871558164500598147/250000000000000000000000000


--- 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 :
29869078683122876330283027/15625000000000000000000000 29529465762776535929469951/31250000000000000000000000 8703393592096756879267071/31250000000000000000000000 72329565566666362061552151/62500000000000000000000000 -50760899429615726034020637/62500000000000000000000000 -15182136963820597027937319/7812500000000000000000000 19681638089082917456189997/62500000000000000000000000 -1162239661362994935291993/3906250000000000000000000 -75368276601985641737791377/62500000000000000000000000 3354910321150949205688791/7812500000000000000000000 -59595472518675012378689673/31250000000000000000000000 31017744269872877077095591/31250000000000000000000000
29529465762776535929469951/31250000000000000000000000 233564858700954697166001639/500000000000000000000000000 68818633949909706035540409/500000000000000000000000000 285536670031196548193932347/500000000000000000000000000 -50209328037547868134033791/125000000000000000000000000 -480299013449446244799021339/500000000000000000000000000 81398820041395953255538119/500000000000000000000000000 -75146257491592362268866441/500000000000000000000000000 -297983462052234248310527889/500000000000000000000000000 105905747653010980478663541/500000000000000000000000000 -471342292829015313267278247/500000000000000000000000000 245323048031293097079580719/500000000000000000000000000
8703393592096756879267071/31250000000000000000000000 68818633949909706035540409/500000000000000000000000000 10153518547888156496905413/250000000000000000000000000 84850379623714575135962181/500000000000000000000000000 -14762486899415619689138289/125000000000000000000000000 -28313813616154249010251329/100000000000000000000000000 18970470045755486486305131/500000000000000000000000000 -19884298387480348275606441/500000000000000000000000000 -43956755981483528153987499/250000000000000000000000000 3942368294441965190593329/62500000000000000000000000 -69461210755235419717282269/250000000000000000000000000 18075504491770077787370883/125000000000000000000000000
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31017744269872877077095591/31250000000000000000000000 245323048031293097079580719/500000000000000000000000000 18075504491770077787370883/125000000000000000000000000 300363899746195285648555803/500000000000000000000000000 -52717184865712033102273413/125000000000000000000000000 -504510832376292845514776883/500000000000000000000000000 82338364932361067873713497/500000000000000000000000000 -77507333542588957123035891/500000000000000000000000000 -3913207832821793760351651/6250000000000000000000000 11144794160285265382600797/50000000000000000000000000 -61887303010287784890152307/62500000000000000000000000 128842537991246735295993813/250000000000000000000000000


--- 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 :
787292048587563536351710087/500000000000000000000000000 743706301853389630615277147/500000000000000000000000000 795641078938030332835107917/500000000000000000000000000 -1004456584290739373660784857/1000000000000000000000000000
743706301853389630615277147/500000000000000000000000000 23625987713131870046411759/6250000000000000000000000 382919578601157623092090317/250000000000000000000000000 59136595106142018084022847/250000000000000000000000000
795641078938030332835107917/500000000000000000000000000 382919578601157623092090317/250000000000000000000000000 1608499094116666980267595801/1000000000000000000000000000 -100088835237371900088011339/100000000000000000000000000
-1004456584290739373660784857/1000000000000000000000000000 59136595106142018084022847/250000000000000000000000000 -100088835237371900088011339/100000000000000000000000000 159245757166844914944399247/50000000000000000000000000


--- 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 :
6713868548978994420084029761/1000000000000000000000000000 3699138100291987736304473311/1000000000000000000000000000 5325491108448822988149069287/1000000000000000000000000000 -278814990509742067642157557/250000000000000000000000000 33969889091765442529348841/200000000000000000000000000 -500903048466273170792554769/200000000000000000000000000 156116626793262907935195623/1000000000000000000000000000 -315994449248674644727127321/100000000000000000000000000 -365198938679017657624247209/125000000000000000000000000 -1265066261823147105932681/244140625000000000000000
3699138100291987736304473311/1000000000000000000000000000 1320164958279680720075185509/500000000000000000000000000 2927956319116377953654543333/1000000000000000000000000000 -1173725318460872293305836107/1000000000000000000000000000 462884505043195454617504413/500000000000000000000000000 -787616947698719927945164683/1000000000000000000000000000 -1695029744696905981506093791/1000000000000000000000000000 -842521502684979585625754491/500000000000000000000000000 -845752001218103325258497297/500000000000000000000000000 -9384792403718055587079143/2500000000000000000000000
5325491108448822988149069287/1000000000000000000000000000 2927956319116377953654543333/1000000000000000000000000000 4444831227079523685588534773/1000000000000000000000000000 -993496451141604885137738901/500000000000000000000000000 -16394623782117305363960543/200000000000000000000000000 -196537730156247444535030201/200000000000000000000000000 547779640606002902795810007/1000000000000000000000000000 -1341008983663778938353034239/500000000000000000000000000 -1226643137859372845527194093/500000000000000000000000000 -1008440969056403196513341529/250000000000000000000000000
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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 :
878018082579004641320601/50000000000000000000000000 15187608370650871751408433/100000000000000000000000000 2219060621354984862549163/50000000000000000000000000 -71154661739328632858534517/500000000000000000000000000 116326581444877697200089143/500000000000000000000000000 21695218387226303638068957/500000000000000000000000000
15187608370650871751408433/100000000000000000000000000 5874758241277888264976282637/1000000000000000000000000000 -238006783020615800954731311/500000000000000000000000000 -1200408952431392295246499557/200000000000000000000000000 1191456529451892429233837319/1000000000000000000000000000 -312958790482454777704609011/1000000000000000000000000000
2219060621354984862549163/50000000000000000000000000 -238006783020615800954731311/500000000000000000000000000 819909440341553991854360481/500000000000000000000000000 134946380072723327980637923/250000000000000000000000000 371356787535177945131123369/500000000000000000000000000 119702746306783427438795887/500000000000000000000000000
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116326581444877697200089143/500000000000000000000000000 1191456529451892429233837319/1000000000000000000000000000 371356787535177945131123369/500000000000000000000000000 -1026917766846283455567317231/1000000000000000000000000000 3230041823368203028504533933/1000000000000000000000000000 698706155904726301380847199/1000000000000000000000000000
21695218387226303638068957/500000000000000000000000000 -312958790482454777704609011/1000000000000000000000000000 119702746306783427438795887/500000000000000000000000000 368288313483465460248101107/1000000000000000000000000000 698706155904726301380847199/1000000000000000000000000000 211061310350290918353060581/1000000000000000000000000000


--- 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 :
2865734656177619323237188053/1000000000000000000000000000 332453330564672108037719167/250000000000000000000000000 320635780307243625616537717/500000000000000000000000000 -1588788657494002025577559127/1000000000000000000000000000 -111057287360153433505963129/62500000000000000000000000 -309559797988507233552589333/1000000000000000000000000000 242190068954997750344138501/500000000000000000000000000 -6794119760690280636630547/62500000000000000000000000 -1264974231084278128859599093/1000000000000000000000000000
332453330564672108037719167/250000000000000000000000000 722456473262871078381469283/1000000000000000000000000000 210556010307118018874838859/1000000000000000000000000000 -800381242482830284588331887/1000000000000000000000000000 -127762713479484357985623823/125000000000000000000000000 -217151722510973823394695433/1000000000000000000000000000 195535394566863895069492111/500000000000000000000000000 -21439854459459284226084591/500000000000000000000000000 -407238193874433039901715589/500000000000000000000000000
320635780307243625616537717/500000000000000000000000000 210556010307118018874838859/1000000000000000000000000000 216012665860621342422485831/1000000000000000000000000000 -303368443853268965981109377/1000000000000000000000000000 -3658936989134370351920611/15625000000000000000000000 -8380488996626033736970191/1000000000000000000000000000 -14685001797541732597455163/500000000000000000000000000 -15663530723682439100250187/500000000000000000000000000 -8749751250422640330375283/125000000000000000000000000
-1588788657494002025577559127/1000000000000000000000000000 -800381242482830284588331887/1000000000000000000000000000 -303368443853268965981109377/1000000000000000000000000000 459325830331632762952921327/500000000000000000000000000 551744124586268058572768249/500000000000000000000000000 107831489900590266621097609/500000000000000000000000000 -9204598115651994064453087/25000000000000000000000000 13925212714030396646065821/250000000000000000000000000 167753238325759762627739529/200000000000000000000000000
-111057287360153433505963129/62500000000000000000000000 -127762713479484357985623823/125000000000000000000000000 -3658936989134370351920611/15625000000000000000000000 551744124586268058572768249/500000000000000000000000000 736140355796319276224350063/500000000000000000000000000 164917896573952442725665693/500000000000000000000000000 -30615789502149820422056647/50000000000000000000000000 26429005268333298657904169/500000000000000000000000000 30575169670739202137792797/25000000000000000000000000
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-1264974231084278128859599093/1000000000000000000000000000 -407238193874433039901715589/500000000000000000000000000 -8749751250422640330375283/125000000000000000000000000 167753238325759762627739529/200000000000000000000000000 30575169670739202137792797/25000000000000000000000000 60524392042140813973374803/200000000000000000000000000 -294642439548328516885145851/500000000000000000000000000 597800094520943026031437/250000000000000000000000000 405302288185779680864992493/200000000000000000000000000


--- 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 :
140019220527467830766153733/500000000000000000000000000 73456382702236113/500000000000000000000000000 -120065405649896839263929499/500000000000000000000000000 120065405649896839263929499/500000000000000000000000000 120065405928192817447923933/500000000000000000000000000 -381878358463860595073661/12500000000000000000000000 426477900546512241/500000000000000000000000000
73456382702236113/500000000000000000000000000 297591579308517345871027641/1000000000000000000000000000 60920690459203377545577561/500000000000000000000000000 -60920690459203377545577561/500000000000000000000000000 121841380511990750848832991/1000000000000000000000000000 -36372518505922401/100000000000000000000000000 372544098017669663825230371/500000000000000000000000000
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120065405649896839263929499/500000000000000000000000000 -60920690459203377545577561/500000000000000000000000000 -127897605936299860097699397/500000000000000000000000000 127897605936299860097699397/500000000000000000000000000 78012719884844435577575499/500000000000000000000000000 -327457756128045537056253/12500000000000000000000000 -152528802727040552597553777/500000000000000000000000000
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426477900546512241/500000000000000000000000000 372544098017669663825230371/500000000000000000000000000 152528802727040552597553777/500000000000000000000000000 -152528802727040552597553777/500000000000000000000000000 152528802634255166307735051/500000000000000000000000000 -4817963300617491/5000000000000000000000000 932748872063442755009545317/500000000000000000000000000


--- 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 :
19382937985276078548639246587/1000000000000000000000000000 3612124509765032923468973541/250000000000000000000000000 -416942872525169798417501423/125000000000000000000000000 1370265987711666866273041499/1000000000000000000000000000 -208584034504041573693782571/200000000000000000000000000 -1037002220594761337496821577/500000000000000000000000000 -4485294498395237213965465283/500000000000000000000000000 -325354200871976838599654531/200000000000000000000000000 -1604820443897237437822644319/500000000000000000000000000 89869886872483742302606789/1000000000000000000000000000 151617595910036980402303951/500000000000000000000000000 27011879417563752455851903/31250000000000000000000000
3612124509765032923468973541/250000000000000000000000000 367386383380158023041844439/31250000000000000000000000 -148415110740488794395511509/62500000000000000000000000 11864605885596487977721881/10000000000000000000000000 -756798561560062010046144093/250000000000000000000000000 -218327992734404684414967921/125000000000000000000000000 -849734707085899331744624007/125000000000000000000000000 -520318344085927224006489297/250000000000000000000000000 -76355445648627582285183429/25000000000000000000000000 117796575350189764627582707/250000000000000000000000000 17716711470340765005571209/125000000000000000000000000 96539579116802852927881209/62500000000000000000000000
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27011879417563752455851903/31250000000000000000000000 96539579116802852927881209/62500000000000000000000000 -28671090747399525636557407/62500000000000000000000000 2962059321607848580545331/12500000000000000000000000 12513717276194077983709857/62500000000000000000000000 -18592767452655725251013151/62500000000000000000000000 -5998803976907853538184753/12500000000000000000000000 -39727730189098570479236729/31250000000000000000000000 -23736742480712991498007519/31250000000000000000000000 3607171489139104106026139/7812500000000000000000000 1647139914148416976176319/31250000000000000000000000 78141572439137637841939103/62500000000000000000000000


--- 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 :
3400076157500824427886746619/500000000000000000000000000 4237504935217849548448029209/1000000000000000000000000000 268415427825346566413390761/250000000000000000000000000 673515129178786670335904983/250000000000000000000000000
4237504935217849548448029209/1000000000000000000000000000 4623773947244385313289798333/1000000000000000000000000000 310858816333017010903275893/500000000000000000000000000 1328455981966908265828832627/1000000000000000000000000000
268415427825346566413390761/250000000000000000000000000 310858816333017010903275893/500000000000000000000000000 49382029682500847877439039/125000000000000000000000000 34104081097740005891861579/31250000000000000000000000
673515129178786670335904983/250000000000000000000000000 1328455981966908265828832627/1000000000000000000000000000 34104081097740005891861579/31250000000000000000000000 61125636018627059475915099/20000000000000000000000000


--- 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 :
9587377774455304191205753/8000000000000000000000000 -95737678633151248583757511/200000000000000000000000000 2097329122699638216806003/20000000000000000000000000 250785655315036883503604997/1000000000000000000000000000 743302418637525343204421/1000000000000000000000000000 -438773254936738051359789677/1000000000000000000000000000
-95737678633151248583757511/200000000000000000000000000 63004538254770993104716513/200000000000000000000000000 -5105383763339428513183729/100000000000000000000000000 -120084946605227807135176083/1000000000000000000000000000 -6300669120960475801152179/1000000000000000000000000000 111676223669971316414666363/1000000000000000000000000000
2097329122699638216806003/20000000000000000000000000 -5105383763339428513183729/100000000000000000000000000 394194510676984426242311/40000000000000000000000000 5854732591259115433581969/250000000000000000000000000 254761823030560908643559/500000000000000000000000000 -33686952008264008876529491/1000000000000000000000000000
250785655315036883503604997/1000000000000000000000000000 -120084946605227807135176083/1000000000000000000000000000 5854732591259115433581969/250000000000000000000000000 55682707683080809743328001/1000000000000000000000000000 1121096022841566034016357/1000000000000000000000000000 -16318653961561325883670899/200000000000000000000000000
743302418637525343204421/1000000000000000000000000000 -6300669120960475801152179/1000000000000000000000000000 254761823030560908643559/500000000000000000000000000 1121096022841566034016357/1000000000000000000000000000 291573164317783667648053/1000000000000000000000000000 2810929605336938731468891/1000000000000000000000000000
-438773254936738051359789677/1000000000000000000000000000 111676223669971316414666363/1000000000000000000000000000 -33686952008264008876529491/1000000000000000000000000000 -16318653961561325883670899/200000000000000000000000000 2810929605336938731468891/1000000000000000000000000000 12081123813570398517402749/62500000000000000000000000


--- 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 :
149791013415942990949187/500000000000000000000000000 -149791013415942990949187/500000000000000000000000000 1267541093404189/250000000000000000000000000 -153437598509161291533313/50000000000000000000000000 383594001628068753997/125000000000000000000000 -767187959898224417069841/250000000000000000000000000 0/1 -1195402687284602659370597/100000000000000000000000000 1195402687284602659370597/100000000000000000000000000 -159144826756548737/500000000000000000000000000
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1267541093404189/250000000000000000000000000 -1267541093404189/250000000000000000000000000 37447754521102448320163/125000000000000000000000000 -15343756176459485182999/5000000000000000000000000 599365743740503892869/195312500000000000000000 383593913713189586084433/125000000000000000000000000 0/1 6243971221318181/50000000000000000000000000 -6243971221318181/50000000000000000000000000 -2988506766375451070795419/250000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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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 :
7830744348112944982416963/62500000000000000000000000 15089363762451140997146493/125000000000000000000000000 13137971823804085443140553/125000000000000000000000000 -35531698582052101350259119/125000000000000000000000000 -22430511032019951438576693/62500000000000000000000000 6298700594038468308699669/125000000000000000000000000
15089363762451140997146493/125000000000000000000000000 29076277890548449581040323/250000000000000000000000000 25316065387575358886212983/250000000000000000000000000 -68467402480270642857909009/250000000000000000000000000 -43222218130692148519232523/125000000000000000000000000 12137209474488478357270059/250000000000000000000000000
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6298700594038468308699669/125000000000000000000000000 12137209474488478357270059/250000000000000000000000000 10567597057487528491115839/250000000000000000000000000 -28580109503881276868127497/250000000000000000000000000 -18042100071370216604772659/125000000000000000000000000 5066393105133245230232147/250000000000000000000000000


--- 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 :
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