#Density : 3369461928257897783217921479/24000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 10, 11, 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 :
55280772749746240726007803/1000000000000000000000000000 -95154363307926273024734087/1000000000000000000000000000 3309895025901777699701371/40000000000000000000000000 -45306592490324753591044839/1000000000000000000000000000 453408536716292815842393/10000000000000000000000000 58487081837604449233879921/1000000000000000000000000000
-95154363307926273024734087/1000000000000000000000000000 192920313974235017538891147/1000000000000000000000000000 -165454322973707121297694151/1000000000000000000000000000 56819845740912884906355211/1000000000000000000000000000 -9782994596516499020286377/250000000000000000000000000 -140873897084669979476554517/1000000000000000000000000000
3309895025901777699701371/40000000000000000000000000 -165454322973707121297694151/1000000000000000000000000000 142054367099915817718390099/1000000000000000000000000000 -10218132013286437663761819/200000000000000000000000000 9279304860780477890375973/250000000000000000000000000 119315878298284987049377417/1000000000000000000000000000
-45306592490324753591044839/1000000000000000000000000000 56819845740912884906355211/1000000000000000000000000000 -10218132013286437663761819/200000000000000000000000000 52510428735795341518461707/1000000000000000000000000000 -3271632704944045540246853/50000000000000000000000000 -18726288569101009409946933/1000000000000000000000000000
453408536716292815842393/10000000000000000000000000 -9782994596516499020286377/250000000000000000000000000 9279304860780477890375973/250000000000000000000000000 -3271632704944045540246853/50000000000000000000000000 5572881516337148315681621/62500000000000000000000000 -1431810510874539571202541/250000000000000000000000000
58487081837604449233879921/1000000000000000000000000000 -140873897084669979476554517/1000000000000000000000000000 119315878298284987049377417/1000000000000000000000000000 -18726288569101009409946933/1000000000000000000000000000 -1431810510874539571202541/250000000000000000000000000 117354150659728346459600083/1000000000000000000000000000


--- 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 :
34621375841094990279447491/250000000000000000000000000 -6899588122053281644230151/31250000000000000000000000 115493327959588297966281/976562500000000000000000 -377216047709295541965327/250000000000000000000000000 17185060884360656981004333/250000000000000000000000000 13037782561273512545389539/125000000000000000000000000
-6899588122053281644230151/31250000000000000000000000 525950912439634336563506121/1000000000000000000000000000 -62255808845736424701847269/500000000000000000000000000 -167724461944291765619803597/500000000000000000000000000 737124958468504452671939/200000000000000000000000000 -85649110513275803393289153/1000000000000000000000000000
115493327959588297966281/976562500000000000000000 -62255808845736424701847269/500000000000000000000000000 7805701009163503627274217/50000000000000000000000000 -40221311819713048790607993/250000000000000000000000000 65736473276826468915873/800000000000000000000000 110842465399692616466834697/500000000000000000000000000
-377216047709295541965327/250000000000000000000000000 -167724461944291765619803597/500000000000000000000000000 -40221311819713048790607993/250000000000000000000000000 173883892940813440980340747/250000000000000000000000000 -100200149000091041500773019/500000000000000000000000000 -136341996568732150252328961/500000000000000000000000000
17185060884360656981004333/250000000000000000000000000 737124958468504452671939/200000000000000000000000000 65736473276826468915873/800000000000000000000000 -100200149000091041500773019/500000000000000000000000000 118429284256734677907671329/1000000000000000000000000000 44783509480425674128649637/1000000000000000000000000000
13037782561273512545389539/125000000000000000000000000 -85649110513275803393289153/1000000000000000000000000000 110842465399692616466834697/500000000000000000000000000 -136341996568732150252328961/500000000000000000000000000 44783509480425674128649637/1000000000000000000000000000 3614380111388823465614121/8000000000000000000000000


--- 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 :
1585982296744363326075677687/1000000000000000000000000000 23733103488557047381605099/40000000000000000000000000 61030767774900185207452937/125000000000000000000000000 322585178154734959107831957/125000000000000000000000000 -332597593788245901289827373/500000000000000000000000000 714237772100162364217735399/1000000000000000000000000000 57337356626490819312639943/100000000000000000000000000 141473526454940870930987821/500000000000000000000000000 -1190647862600549741361268943/1000000000000000000000000000 -3262490417382386799487442059/1000000000000000000000000000 -330989413971976893037498003/500000000000000000000000000 -116501747178378930450759287/125000000000000000000000000
23733103488557047381605099/40000000000000000000000000 54524301219883622020132997/200000000000000000000000000 8650985603961069644153989/50000000000000000000000000 46677467725035903544008321/50000000000000000000000000 -25357721545317148115284577/100000000000000000000000000 60028390064271723651210051/200000000000000000000000000 18201693516925300278272791/100000000000000000000000000 12729205812821056768277793/100000000000000000000000000 -17196668521100713160708089/40000000000000000000000000 -236623120890327130105563037/200000000000000000000000000 -2214457352110594860287569/6250000000000000000000000 -35315568473963363601817339/100000000000000000000000000
61030767774900185207452937/125000000000000000000000000 8650985603961069644153989/50000000000000000000000000 31520864917778604454678401/125000000000000000000000000 163539906932102730065274081/125000000000000000000000000 -697522887121874550094757/15625000000000000000000000 30792427293253412012994827/62500000000000000000000000 -127932029838560555382833/6250000000000000000000000 -14217687420484343900782379/62500000000000000000000000 -235092324015002660815752741/250000000000000000000000000 -313448324233179101541429753/250000000000000000000000000 4478714171578266575868513/250000000000000000000000000 -42009009653601336935364907/250000000000000000000000000
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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 :
222155077583687574695219283/250000000000000000000000000 -3126008780437266948752493/125000000000000000000000000 279859911142647810805274727/500000000000000000000000000 669065262192068982754201521/500000000000000000000000000
-3126008780437266948752493/125000000000000000000000000 275875871230425524106972603/62500000000000000000000000 -908521871088553721195604717/250000000000000000000000000 -1730921770663896478256256891/250000000000000000000000000
279859911142647810805274727/500000000000000000000000000 -908521871088553721195604717/250000000000000000000000000 3319114179157276292289662213/1000000000000000000000000000 6488495510113655285156250099/1000000000000000000000000000
669065262192068982754201521/500000000000000000000000000 -1730921770663896478256256891/250000000000000000000000000 6488495510113655285156250099/1000000000000000000000000000 12759204429780734713337758677/1000000000000000000000000000


--- Term 10 ---

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

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

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

Matrix :
202202504908351599348454531/250000000000000000000000000 155655740849053941210980823/200000000000000000000000000 -559367676823744067710459563/1000000000000000000000000000 -40462897692938845916254143/500000000000000000000000000 322713881610882729854103679/500000000000000000000000000 -52620159242554642584848899/125000000000000000000000000 -174874741604146671119873857/250000000000000000000000000 -149472745358546071789673323/1000000000000000000000000000 -42593984082181504115627611/125000000000000000000000000 -203971003358705643190981961/250000000000000000000000000
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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 :
9760925841502465994308167/1000000000000000000000000000 84434247565711694080518147/500000000000000000000000000 -2655043403157633255080571/500000000000000000000000000 174837871753301843897362959/1000000000000000000000000000 56856890156421772253656017/1000000000000000000000000000 -23957405806372253594113251/250000000000000000000000000
84434247565711694080518147/500000000000000000000000000 5243002861806245808562471933/1000000000000000000000000000 -2314181876990346339216801619/1000000000000000000000000000 3173823547901560303272524963/1000000000000000000000000000 209092757008255124416100869/1000000000000000000000000000 -541110663019525593847045189/500000000000000000000000000
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56856890156421772253656017/1000000000000000000000000000 209092757008255124416100869/1000000000000000000000000000 710533782136338131974544633/1000000000000000000000000000 121086548811933057737535973/125000000000000000000000000 36850992196468753522465687/62500000000000000000000000 -375136936137171231731517277/500000000000000000000000000
-23957405806372253594113251/250000000000000000000000000 -541110663019525593847045189/500000000000000000000000000 -249473417102933945913400373/500000000000000000000000000 -839770788749296378611389579/500000000000000000000000000 -375136936137171231731517277/500000000000000000000000000 270894411645117228131438797/250000000000000000000000000


--- 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 :
12513580445642593635400599/1000000000000000000000000000 29912073462448679422567053/1000000000000000000000000000 -50847603195676518681341661/1000000000000000000000000000 -30356929968698050458840099/1000000000000000000000000000 -49553416654605339499947627/1000000000000000000000000000 -112798954545343702984557/5000000000000000000000000 15940082163149372080357263/1000000000000000000000000000 8731891868870990436107139/200000000000000000000000000 -130374106951409990105481/500000000000000000000000000
29912073462448679422567053/1000000000000000000000000000 71500889989841793222169791/1000000000000000000000000000 -121544529064671907340005167/1000000000000000000000000000 -72564261145122373747673553/1000000000000000000000000000 -118450945812556924847768169/1000000000000000000000000000 -269631112334649396726879/5000000000000000000000000 38102676586669542630740661/1000000000000000000000000000 20872442717925473669768433/200000000000000000000000000 -311642209971141266506707/500000000000000000000000000
-50847603195676518681341661/1000000000000000000000000000 -121544529064671907340005167/1000000000000000000000000000 206613827431402602411448479/1000000000000000000000000000 123352156162850636492632161/1000000000000000000000000000 201355038071520626117023353/1000000000000000000000000000 458346554491204077244623/5000000000000000000000000 -64770828481830162900180357/1000000000000000000000000000 -35481113884596635472014721/200000000000000000000000000 529761316998954697731459/500000000000000000000000000
-30356929968698050458840099/1000000000000000000000000000 -72564261145122373747673553/1000000000000000000000000000 123352156162850636492632161/1000000000000000000000000000 73643446903746260972029599/1000000000000000000000000000 120212564711435959616981127/1000000000000000000000000000 273641103643339658283057/5000000000000000000000000 -38669344878868499201168763/1000000000000000000000000000 -21182860581670126917216639/200000000000000000000000000 316276996152100508505981/500000000000000000000000000
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15940082163149372080357263/1000000000000000000000000000 38102676586669542630740661/1000000000000000000000000000 -64770828481830162900180357/1000000000000000000000000000 -38669344878868499201168763/1000000000000000000000000000 -63122264356739957456234499/1000000000000000000000000000 -143685862825633381557909/5000000000000000000000000 20304837649917309945007431/1000000000000000000000000000 11122881611234331064545243/200000000000000000000000000 -166073489979948035159697/500000000000000000000000000
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-130374106951409990105481/500000000000000000000000000 -311642209971141266506707/500000000000000000000000000 529761316998954697731459/500000000000000000000000000 316276996152100508505981/500000000000000000000000000 516277692927201285084213/500000000000000000000000000 1175208248972637872883/2500000000000000000000000 -166073489979948035159697/500000000000000000000000000 -90974170769545433715741/100000000000000000000000000 1358316897167223582039/250000000000000000000000000


--- 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 :
31520568126358026970369871/1000000000000000000000000000 230045984239333377/1000000000000000000000000000 -1000175136964313519614671/62500000000000000000000000 8001401101032294022819853/500000000000000000000000000 16002802187321133300012301/1000000000000000000000000000 -7267938399558971712478171/1000000000000000000000000000 11275840242673459/62500000000000000000000000
230045984239333377/1000000000000000000000000000 79645397893359112680782041/125000000000000000000000000 -15162088953823941266992279/1000000000000000000000000000 7581044473821694822460867/500000000000000000000000000 -758104453023622168014013/50000000000000000000000000 104549063693916069/200000000000000000000000000 219233155680479120230872373/500000000000000000000000000
-1000175136964313519614671/62500000000000000000000000 -15162088953823941266992279/1000000000000000000000000000 209611229041130113336028051/1000000000000000000000000000 -30107403523595775915919217/250000000000000000000000000 -208889627649847852632985409/1000000000000000000000000000 -83998295109737028614140233/250000000000000000000000000 -2608462538974333072873573/250000000000000000000000000
8001401101032294022819853/500000000000000000000000000 7581044473821694822460867/500000000000000000000000000 -30107403523595775915919217/250000000000000000000000000 52402807200485469235041361/250000000000000000000000000 59854006417869138384376457/500000000000000000000000000 167996590208885499165638057/500000000000000000000000000 2608462557885420287084019/250000000000000000000000000
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11275840242673459/62500000000000000000000000 219233155680479120230872373/500000000000000000000000000 -2608462538974333072873573/250000000000000000000000000 2608462557885420287084019/250000000000000000000000000 -1304231293688879219200323/125000000000000000000000000 143261884183726193/500000000000000000000000000 150866144877495597977189927/500000000000000000000000000


--- 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 :
802205305510886105075108091/250000000000000000000000000 1104259507203013287724033971/500000000000000000000000000 54743023788533030017867419/62500000000000000000000000 -33016544827183336075209933/500000000000000000000000000 -979213056914611695092228307/500000000000000000000000000 -504945003620909970850694853/500000000000000000000000000 -307050233388216700916939151/250000000000000000000000000 -274885477135035938308901451/250000000000000000000000000 158207941577713304504750139/500000000000000000000000000 -136741359965860728372058647/125000000000000000000000000 -808994479208713805939121/250000000000000000000000000 -117248431620301227216802827/100000000000000000000000000
1104259507203013287724033971/500000000000000000000000000 1072665783963046065015684607/500000000000000000000000000 73945922524078726549397631/200000000000000000000000000 -226132493061998084146493891/1000000000000000000000000000 -200860726362960144272707071/100000000000000000000000000 -597323293505290951936698227/500000000000000000000000000 -534506808796519170512590841/1000000000000000000000000000 -112127336599104638055203941/500000000000000000000000000 13884796499912411929039479/40000000000000000000000000 -117456356167305800243688781/200000000000000000000000000 -64474228018784889577857963/250000000000000000000000000 -529421068257788552778197601/500000000000000000000000000
54743023788533030017867419/62500000000000000000000000 73945922524078726549397631/200000000000000000000000000 341129646248973495539609667/1000000000000000000000000000 25770175047341767412265813/500000000000000000000000000 -289473910636583009464332627/1000000000000000000000000000 -99603782105748141274061937/1000000000000000000000000000 -477333398914888482373782363/1000000000000000000000000000 -120514701371801864704774341/250000000000000000000000000 15036211999797644418593721/250000000000000000000000000 -400362056024850304029758133/1000000000000000000000000000 39185472701432379518838963/500000000000000000000000000 -236991844108607745136877307/1000000000000000000000000000
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-117248431620301227216802827/100000000000000000000000000 -529421068257788552778197601/500000000000000000000000000 -236991844108607745136877307/1000000000000000000000000000 95328153499701575371708767/1000000000000000000000000000 491293940386241299651626141/500000000000000000000000000 288766877641774425140290977/500000000000000000000000000 342352060635640937778706881/1000000000000000000000000000 3507451880736339528331281/20000000000000000000000000 -183472561056591083327751459/1000000000000000000000000000 361663488165485442510237873/1000000000000000000000000000 5783616546019951372388541/50000000000000000000000000 268818551375341269497810139/500000000000000000000000000


--- 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 :
4324650629451516037922067/200000000000000000000000000 -17544552618167459826107613/200000000000000000000000000 -17408964460686463888403871/200000000000000000000000000 -5942969989433079693928743/50000000000000000000000000
-17544552618167459826107613/200000000000000000000000000 390720949770973771115253077/1000000000000000000000000000 519243672589216250511320857/1000000000000000000000000000 50148704620427102360069017/100000000000000000000000000
-17408964460686463888403871/200000000000000000000000000 519243672589216250511320857/1000000000000000000000000000 1142395511933256358220334047/1000000000000000000000000000 3565249427612126621661521/6250000000000000000000000
-5942969989433079693928743/50000000000000000000000000 50148704620427102360069017/100000000000000000000000000 3565249427612126621661521/6250000000000000000000000 66402996763369247866719671/100000000000000000000000000


--- 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 :
36554759335020905377803/10000000000000000000000000 48861500046868542500751/50000000000000000000000000 23787991229666627142591/100000000000000000000000000 31564554613404519516621/100000000000000000000000000 -129959953919592284269071/100000000000000000000000000 -458864112651073566693393/50000000000000000000000000
48861500046868542500751/50000000000000000000000000 65311500616087128710467/250000000000000000000000000 31796596550690973389747/500000000000000000000000000 42191263594086183729257/500000000000000000000000000 -173713037920334607635907/500000000000000000000000000 -613348009114827372258781/250000000000000000000000000
23787991229666627142591/100000000000000000000000000 31796596550690973389747/500000000000000000000000000 15480023313970280744227/1000000000000000000000000000 20540618019953668382137/1000000000000000000000000000 -84571374570243009524787/1000000000000000000000000000 -298605590241023939475821/500000000000000000000000000
31564554613404519516621/100000000000000000000000000 42191263594086183729257/500000000000000000000000000 20540618019953668382137/1000000000000000000000000000 27255578372474237720347/1000000000000000000000000000 -112218713450002239787497/1000000000000000000000000000 -396223135027731460885751/500000000000000000000000000
-129959953919592284269071/100000000000000000000000000 -173713037920334607635907/500000000000000000000000000 -84571374570243009524787/1000000000000000000000000000 -112218713450002239787497/1000000000000000000000000000 462035311681060775022147/1000000000000000000000000000 1631359637440053726436701/500000000000000000000000000
-458864112651073566693393/50000000000000000000000000 -613348009114827372258781/250000000000000000000000000 -298605590241023939475821/500000000000000000000000000 -396223135027731460885751/500000000000000000000000000 1631359637440053726436701/500000000000000000000000000 5760023529339335397671683/250000000000000000000000000


--- 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 :
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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 :
1908740694433311874717377/1000000000000000000000000000 -18302435570078659974003/62500000000000000000000000 81381673696440619144683/125000000000000000000000000 -34901323706231403849453/50000000000000000000000000 -224344373252750353130037/250000000000000000000000000 -1166348724843325919731881/1000000000000000000000000000
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

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

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

Matrix :
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