#Density : 1840673074247203040607190321/12000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 9, 10, 11, 12, 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 :
172074303210656656406830723/500000000000000000000000000 -146232101409298183581070503/250000000000000000000000000 29019893766868107609365499/125000000000000000000000000 -172776147654316743956584983/500000000000000000000000000 8399950009692275079730951/12500000000000000000000000 -504133109211429864161819/10000000000000000000000000
-146232101409298183581070503/250000000000000000000000000 1101885860863425710049615449/1000000000000000000000000000 -100049711600075073292804041/250000000000000000000000000 567792835344336844627414647/1000000000000000000000000000 -15110954053267655267654767/12500000000000000000000000 -7944915066555371673942497/200000000000000000000000000
29019893766868107609365499/125000000000000000000000000 -100049711600075073292804041/250000000000000000000000000 9806536815894226047327759/62500000000000000000000000 -58022253088869660337919853/250000000000000000000000000 356873472100386558993777/781250000000000000000000 -1373727936880848932643543/50000000000000000000000000
-172776147654316743956584983/500000000000000000000000000 567792835344336844627414647/1000000000000000000000000000 -58022253088869660337919853/250000000000000000000000000 350499465450510409426799151/1000000000000000000000000000 -4141528250514356581603743/6250000000000000000000000 14669238773781081629045241/200000000000000000000000000
8399950009692275079730951/12500000000000000000000000 -15110954053267655267654767/12500000000000000000000000 356873472100386558993777/781250000000000000000000 -4141528250514356581603743/6250000000000000000000000 422967040497704635586717/312500000000000000000000 -51887177216604320626501/2500000000000000000000000
-504133109211429864161819/10000000000000000000000000 -7944915066555371673942497/200000000000000000000000000 -1373727936880848932643543/50000000000000000000000000 14669238773781081629045241/200000000000000000000000000 -51887177216604320626501/2500000000000000000000000 30677884180777367948333357/200000000000000000000000000


--- 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 :
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


--- 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 :
575336031666840108279455103/1000000000000000000000000000 85616267169285077219625699/1000000000000000000000000000 25607760701340489999920793/125000000000000000000000000 161659612619279646316866873/1000000000000000000000000000 5882305696109123581396539/50000000000000000000000000 -196896213714390058432460013/500000000000000000000000000 -96340042595726003192669433/1000000000000000000000000000 -1010954848274509255635345237/1000000000000000000000000000 -158680560038206853694495831/500000000000000000000000000 -59677529838705469733731041/500000000000000000000000000 126738271197670611665725497/250000000000000000000000000 -17740821447089008805751717/1000000000000000000000000000
85616267169285077219625699/1000000000000000000000000000 23340983780703958686857823/1000000000000000000000000000 4951450307821328158674937/50000000000000000000000000 16423549660763740039853923/200000000000000000000000000 23307993999242802274788427/250000000000000000000000000 -1628324798041486379840959/31250000000000000000000000 -88172307592894126325983169/1000000000000000000000000000 -194168076662462345639825373/1000000000000000000000000000 -80432956158242465778533309/500000000000000000000000000 -92259177320112525260399/15625000000000000000000000 333111499729489720516329/6250000000000000000000000 15691178323884245949203121/1000000000000000000000000000
25607760701340489999920793/125000000000000000000000000 4951450307821328158674937/50000000000000000000000000 32259763345497696732314381/62500000000000000000000000 108248310839116920913502613/250000000000000000000000000 132884612066535084511580611/250000000000000000000000000 -24556684889184987249711447/250000000000000000000000000 -3997943614460380825625233/7812500000000000000000000 -160679778022149414237510033/250000000000000000000000000 -211952462654011565601662113/250000000000000000000000000 1067753248862584886219627/31250000000000000000000000 9334403679966867502396213/250000000000000000000000000 1122150030363445762002831/10000000000000000000000000
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-17740821447089008805751717/1000000000000000000000000000 15691178323884245949203121/1000000000000000000000000000 1122150030363445762002831/10000000000000000000000000 19084037382611036860286243/200000000000000000000000000 63661804738474068628489873/500000000000000000000000000 2921658072109127998844313/125000000000000000000000000 -250600153500659806161419373/1000000000000000000000000000 -44443772323089608521215031/1000000000000000000000000000 -46682579883097359168816519/250000000000000000000000000 -26249078381709763339990771/500000000000000000000000000 -5392291224263234276397009/100000000000000000000000000 384442255907883002492274757/1000000000000000000000000000


--- 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 :
2894330749808838403658901/8000000000000000000000000 52950215237151605704771701/200000000000000000000000000 73728361082483078042932749/100000000000000000000000000 -2317229365741749603145563/40000000000000000000000000
52950215237151605704771701/200000000000000000000000000 193739108347990946046251697/1000000000000000000000000000 269764095804030249218919717/500000000000000000000000000 -8478491240569607210161047/200000000000000000000000000
73728361082483078042932749/100000000000000000000000000 269764095804030249218919717/500000000000000000000000000 751243959007522248139871503/500000000000000000000000000 -295138212022261354116531/2500000000000000000000000
-2317229365741749603145563/40000000000000000000000000 -8478491240569607210161047/200000000000000000000000000 -295138212022261354116531/2500000000000000000000000 66997950829559345569162299/40000000000000000000000000


--- 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 :
156981435167931279378978377/50000000000000000000000000 1161698081354998347167344007/500000000000000000000000000 52366074025942462205447779/25000000000000000000000000 -278027405277630993788003411/500000000000000000000000000 16447002924064975573204131/50000000000000000000000000 -152236627616567905206984821/250000000000000000000000000 -118441628359884996471618913/200000000000000000000000000 -402099168062963116677404429/250000000000000000000000000 -1697293792510232425839376921/1000000000000000000000000000 -1405682319115731223896558669/1000000000000000000000000000
1161698081354998347167344007/500000000000000000000000000 1676015980009852446576709001/500000000000000000000000000 374126974570925942780509943/125000000000000000000000000 -243664682907710459314484923/250000000000000000000000000 265053622490543684075173991/500000000000000000000000000 -243338928883536080699253211/250000000000000000000000000 -688959370435597796413576323/1000000000000000000000000000 -1139753495361376446420573009/500000000000000000000000000 -400019944419753003725214397/200000000000000000000000000 -931786105761003475776236351/1000000000000000000000000000
52366074025942462205447779/25000000000000000000000000 374126974570925942780509943/125000000000000000000000000 1419335088782748245738668593/500000000000000000000000000 592172920924204864806867/5000000000000000000000000 7214848680370265779306609/15625000000000000000000000 -81360415761832833383851639/250000000000000000000000000 -1563816872619238651684884141/1000000000000000000000000000 -567579218435711673908381119/250000000000000000000000000 -1972517785243164497090242729/1000000000000000000000000000 -958409978596819063057537241/1000000000000000000000000000
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--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

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

Basis :
B1 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
59971710166120864228884569/1000000000000000000000000000 -630830641361739534077531019/1000000000000000000000000000 14684241278208954259338553/250000000000000000000000000 -47944798635554707986818137/250000000000000000000000000 260247225850092713291317349/500000000000000000000000000 21875507435340473551310619/1000000000000000000000000000
-630830641361739534077531019/1000000000000000000000000000 3692399880256818580614703673/500000000000000000000000000 95282373897755843870193347/1000000000000000000000000000 1054917182882275217209361981/250000000000000000000000000 -2956145692121390412352662393/500000000000000000000000000 -27235481343615342349737857/200000000000000000000000000
14684241278208954259338553/250000000000000000000000000 95282373897755843870193347/1000000000000000000000000000 361572746793559406662985901/200000000000000000000000000 9542287421832563791962973/5000000000000000000000000 23382950310247466577582839/250000000000000000000000000 285504204527541600454601/1250000000000000000000000
-47944798635554707986818137/250000000000000000000000000 1054917182882275217209361981/250000000000000000000000000 9542287421832563791962973/5000000000000000000000000 1771838234963846176498148097/250000000000000000000000000 -1474983356007451769354406517/500000000000000000000000000 51537787737043304683901071/250000000000000000000000000
260247225850092713291317349/500000000000000000000000000 -2956145692121390412352662393/500000000000000000000000000 23382950310247466577582839/250000000000000000000000000 -1474983356007451769354406517/500000000000000000000000000 4772627539885221155554020517/1000000000000000000000000000 67516548316520988376236341/500000000000000000000000000
21875507435340473551310619/1000000000000000000000000000 -27235481343615342349737857/200000000000000000000000000 285504204527541600454601/1250000000000000000000000 51537787737043304683901071/250000000000000000000000000 67516548316520988376236341/500000000000000000000000000 305143197615443645431540257/1000000000000000000000000000


--- 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 :
17078634632674003530295433/31250000000000000000000000 -22820751460888126543833751/62500000000000000000000000 1571587072191440827861939/62500000000000000000000000 4434711969608079878345371/62500000000000000000000000 -4463895075825985843272313/7812500000000000000000000 4025246053262456546091903/7812500000000000000000000 32160164219860066062381/6250000000000000000000000 -19136166586614523081723/2500000000000000000000000 -790200260677926383110229/6250000000000000000000000
-22820751460888126543833751/62500000000000000000000000 30493462061849140726081097/125000000000000000000000000 -2099980399194848392028333/125000000000000000000000000 -5925734804668411255703237/125000000000000000000000000 5964729749415423405971111/15625000000000000000000000 -5378599737398385702623841/15625000000000000000000000 -42972938433771263950707/12500000000000000000000000 25570059374173022081381/5000000000000000000000000 1055878537196421303589963/12500000000000000000000000
1571587072191440827861939/62500000000000000000000000 -2099980399194848392028333/125000000000000000000000000 144618465035489476843937/125000000000000000000000000 408085081168896651232793/125000000000000000000000000 -410770529592900424702979/15625000000000000000000000 370405761101900817158949/15625000000000000000000000 2959399238554491514623/12500000000000000000000000 -1760922501456223454009/5000000000000000000000000 -72714742181313130782007/12500000000000000000000000
4434711969608079878345371/62500000000000000000000000 -5925734804668411255703237/125000000000000000000000000 408085081168896651232793/125000000000000000000000000 1151536447519046355092177/125000000000000000000000000 -1159114258815933878605931/15625000000000000000000000 1045212760677566884731261/15625000000000000000000000 8350847024827109191047/12500000000000000000000000 -4968979595811316303601/5000000000000000000000000 -205186809706178181185023/12500000000000000000000000
-4463895075825985843272313/7812500000000000000000000 5964729749415423405971111/15625000000000000000000000 -410770529592900424702979/15625000000000000000000000 -1159114258815933878605931/15625000000000000000000000 1166741936727269388485993/1953125000000000000000000 -1052090897346690819187983/1953125000000000000000000 -8405800685268905816541/1562500000000000000000000 5001678508465159853003/625000000000000000000000 206537063906046284065669/1562500000000000000000000
4025246053262456546091903/7812500000000000000000000 -5378599737398385702623841/15625000000000000000000000 370405761101900817158949/15625000000000000000000000 1045212760677566884731261/15625000000000000000000000 -1052090897346690819187983/1953125000000000000000000 948706154665722218495673/1953125000000000000000000 7579796446409240754171/1562500000000000000000000 -4510183670067936619293/625000000000000000000000 -186241496992712296728339/1562500000000000000000000
32160164219860066062381/6250000000000000000000000 -42972938433771263950707/12500000000000000000000000 2959399238554491514623/12500000000000000000000000 8350847024827109191047/12500000000000000000000000 -8405800685268905816541/1562500000000000000000000 7579796446409240754171/1562500000000000000000000 60559651570134379617/1250000000000000000000000 -36034628833075831911/500000000000000000000000 -1487997764256839418153/1250000000000000000000000
-19136166586614523081723/2500000000000000000000000 25570059374173022081381/5000000000000000000000000 -1760922501456223454009/5000000000000000000000000 -4968979595811316303601/5000000000000000000000000 5001678508465159853003/625000000000000000000000 -4510183670067936619293/625000000000000000000000 -36034628833075831911/500000000000000000000000 21441577708447485713/200000000000000000000000 885398871183150379999/500000000000000000000000
-790200260677926383110229/6250000000000000000000000 1055878537196421303589963/12500000000000000000000000 -72714742181313130782007/12500000000000000000000000 -205186809706178181185023/12500000000000000000000000 206537063906046284065669/1562500000000000000000000 -186241496992712296728339/1562500000000000000000000 -1487997764256839418153/1250000000000000000000000 885398871183150379999/500000000000000000000000 36561262970100664457777/1250000000000000000000000


--- 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 :
48374519962377253469420537/200000000000000000000000000 -752966708627604583/1000000000000000000000000000 -301575405945472919739146871/1000000000000000000000000000 301575405945472919739146871/1000000000000000000000000000 150787702858749161855906191/500000000000000000000000000 -309721502611890116747062243/1000000000000000000000000000 -33606738433340349/500000000000000000000000000
-752966708627604583/1000000000000000000000000000 1140706078452368457630300097/1000000000000000000000000000 15476730600921542908412583/1000000000000000000000000000 -15476730600921542908412583/1000000000000000000000000000 1547673181412141374161529/100000000000000000000000000 133485647418293921/200000000000000000000000000 -31546989408298264252785273/125000000000000000000000000
-301575405945472919739146871/1000000000000000000000000000 15476730600921542908412583/1000000000000000000000000000 94285752746234563221420833/250000000000000000000000000 -94285752746234563221420833/250000000000000000000000000 -93721746864358377398503841/250000000000000000000000000 77234368798937727940509927/200000000000000000000000000 -18394256143263236508579759/1000000000000000000000000000
301575405945472919739146871/1000000000000000000000000000 -15476730600921542908412583/1000000000000000000000000000 -94285752746234563221420833/250000000000000000000000000 94285752746234563221420833/250000000000000000000000000 93721746864358377398503841/250000000000000000000000000 -77234368798937727940509927/200000000000000000000000000 18394256143263236508579759/1000000000000000000000000000
150787702858749161855906191/500000000000000000000000000 1547673181412141374161529/100000000000000000000000000 -93721746864358377398503841/250000000000000000000000000 93721746864358377398503841/250000000000000000000000000 23571438158168315998923831/62500000000000000000000000 -193085921847566277740849839/500000000000000000000000000 -9197128621192796913492063/500000000000000000000000000
-309721502611890116747062243/1000000000000000000000000000 133485647418293921/200000000000000000000000000 77234368798937727940509927/200000000000000000000000000 -77234368798937727940509927/200000000000000000000000000 -193085921847566277740849839/500000000000000000000000000 79320608663216532426312581/200000000000000000000000000 2980972850089983/125000000000000000000000000
-33606738433340349/500000000000000000000000000 -31546989408298264252785273/125000000000000000000000000 -18394256143263236508579759/1000000000000000000000000000 18394256143263236508579759/1000000000000000000000000000 -9197128621192796913492063/500000000000000000000000000 2980972850089983/125000000000000000000000000 59990280991194266957047887/200000000000000000000000000


--- 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 :
13718613631365184987704813141/1000000000000000000000000000 3967201844337937699247014017/500000000000000000000000000 -120924075254201880537998091/40000000000000000000000000 649730233873410868240282219/125000000000000000000000000 -923706830417468356387246391/250000000000000000000000000 -2483859042560480192522656551/1000000000000000000000000000 -1973836512197771904717992487/500000000000000000000000000 -2189499128915862152338282357/500000000000000000000000000 -1192085349518870104049703777/1000000000000000000000000000 -464737802116929671131551079/1000000000000000000000000000 55708668199598844757719657/125000000000000000000000000 742707467572124172628296457/250000000000000000000000000
3967201844337937699247014017/500000000000000000000000000 4950834674879032709420603007/1000000000000000000000000000 -209159984194189107938636081/125000000000000000000000000 1494606698989550096839001741/500000000000000000000000000 -5403616125419742575227293/2500000000000000000000000 -1489448024064687161387890143/1000000000000000000000000000 -2211038523315663642591916121/1000000000000000000000000000 -249518483631037158198489903/100000000000000000000000000 -588240952978752521243583769/1000000000000000000000000000 -523217860394837970372124527/1000000000000000000000000000 223067945402473221156934001/1000000000000000000000000000 174697857628945480930814827/100000000000000000000000000
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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 :
5075223655689405793623157637/1000000000000000000000000000 1251448743435685893420395349/500000000000000000000000000 171728946664436750997191411/200000000000000000000000000 80088679034662709010707137/50000000000000000000000000
1251448743435685893420395349/500000000000000000000000000 19208487336718335993682161/5000000000000000000000000 -7950440056523175699090929/15625000000000000000000000 22828232024678362428165083/500000000000000000000000000
171728946664436750997191411/200000000000000000000000000 -7950440056523175699090929/15625000000000000000000000 215861891907488821773104349/250000000000000000000000000 866695320035907446171183669/1000000000000000000000000000
80088679034662709010707137/50000000000000000000000000 22828232024678362428165083/500000000000000000000000000 866695320035907446171183669/1000000000000000000000000000 1392651367661611606284647781/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 10669541236263905432620507/250000000000000000000000000 -706431758479071935284243/500000000000000000000000000 0/1 -6577431334782944686150177/500000000000000000000000000 0/1
0/1 -706431758479071935284243/500000000000000000000000000 41375074872616493473175903/1000000000000000000000000000 0/1 -12141036327152192955465091/1000000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 -6577431334782944686150177/500000000000000000000000000 -12141036327152192955465091/1000000000000000000000000000 0/1 19042815068191596781005779/1000000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 17 ---

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

Flags :
F1  : {0, 1, 2, 3, 4}
F2  : {0, 1, 2, 3, 5}
F3  : {0, 1, 2, 3, 4, 5}
F4  : {0, 1, 2, 3, 6}
F5  : {0, 1, 2, 3, 4, 6}
F6  : {0, 1, 2, 3, 5, 6}
F7  : {0, 1, 2, 3, 4, 5, 6}
F8  : {0, 1, 2, 3, 7}
F9  : {0, 1, 2, 3, 4, 7}
F10 : {0, 1, 2, 3, 5, 7}
F11 : {0, 1, 2, 3, 4, 5, 7}
F12 : {0, 1, 2, 3, 6, 7}
F13 : {0, 1, 2, 3, 4, 6, 7}
F14 : {0, 1, 2, 3, 5, 6, 7}

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

Matrix :
209168927005439149263680457/1000000000000000000000000000 -67459734350390781873066497/500000000000000000000000000 -37115227524477701397264007/1000000000000000000000000000 37040184756269473918182429/1000000000000000000000000000 -9260403307337241172598747/250000000000000000000000000 37039444044040741154027321/1000000000000000000000000000 0/1 -166614868482730567588733047/1000000000000000000000000000 15964535765483859565062233/100000000000000000000000000 870986496334655208175669/250000000000000000000000000
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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 :
4793419410808073533660907/31250000000000000000000000 6848905526598909159933187/62500000000000000000000000 72131751043159895534241/31250000000000000000000000 -6481503521843332631298109/62500000000000000000000000 -5507641277170358436360459/62500000000000000000000000 -1550782850580984089273611/6250000000000000000000000
6848905526598909159933187/62500000000000000000000000 4892906596751297477327467/62500000000000000000000000 51531433866149670543069/31250000000000000000000000 -4630432003439026765021231/62500000000000000000000000 -7869395842283972359993599/125000000000000000000000000 -11078902476122362427319301/62500000000000000000000000
72131751043159895534241/31250000000000000000000000 51531433866149670543069/31250000000000000000000000 72897648987961120591503/3125000000000000000000000 -9753417387197761961277/6250000000000000000000000 -82879417562186816030997/62500000000000000000000000 -116681508881924422418631/31250000000000000000000000
-6481503521843332631298109/62500000000000000000000000 -4630432003439026765021231/62500000000000000000000000 -9753417387197761961277/6250000000000000000000000 876407514204677264301443/12500000000000000000000000 7447250756847805749775953/125000000000000000000000000 10484586937032104612499619/62500000000000000000000000
-5507641277170358436360459/62500000000000000000000000 -7869395842283972359993599/125000000000000000000000000 -82879417562186816030997/62500000000000000000000000 7447250756847805749775953/125000000000000000000000000 6328282555370430102747483/125000000000000000000000000 356370052682198919213927/2500000000000000000000000
-1550782850580984089273611/6250000000000000000000000 -11078902476122362427319301/62500000000000000000000000 -116681508881924422418631/31250000000000000000000000 10484586937032104612499619/62500000000000000000000000 356370052682198919213927/2500000000000000000000000 12542859509818381987365023/31250000000000000000000000


--- 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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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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