#Density : 10597743159374882064751184411/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 11, 12, 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 :
721777581632199308638057209/1000000000000000000000000000 43645977990424547569608651/500000000000000000000000000 -317550814020837404485438149/1000000000000000000000000000 -325103242691971640474205747/500000000000000000000000000 91731267587678951890129227/250000000000000000000000000 -272774101808690506813035891/1000000000000000000000000000
43645977990424547569608651/500000000000000000000000000 2639277588024827500709889/250000000000000000000000000 -19202336276852528709115311/500000000000000000000000000 -19659032555516596976856633/250000000000000000000000000 5547000887879849637172353/125000000000000000000000000 -16494683053160670850272249/500000000000000000000000000
-317550814020837404485438149/1000000000000000000000000000 -19202336276852528709115311/500000000000000000000000000 139708577893572451036419489/1000000000000000000000000000 143031318767471045386507767/500000000000000000000000000 -40357777014573898691488047/250000000000000000000000000 120008767627936322782800951/1000000000000000000000000000
-325103242691971640474205747/500000000000000000000000000 -19659032555516596976856633/250000000000000000000000000 143031318767471045386507767/500000000000000000000000000 146433085618740098231681201/250000000000000000000000000 -41317620978973591606458041/125000000000000000000000000 122862980614967866181181553/500000000000000000000000000
91731267587678951890129227/250000000000000000000000000 5547000887879849637172353/125000000000000000000000000 -40357777014573898691488047/250000000000000000000000000 -41317620978973591606458041/125000000000000000000000000 11658197299802326174900481/62500000000000000000000000 -34667070245404688196990073/250000000000000000000000000
-272774101808690506813035891/1000000000000000000000000000 -16494683053160670850272249/500000000000000000000000000 120008767627936322782800951/1000000000000000000000000000 122862980614967866181181553/500000000000000000000000000 -34667070245404688196990073/250000000000000000000000000 103086757625915339589161009/1000000000000000000000000000


--- 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 :
25791923288596850798122597/125000000000000000000000000 12093248040102246855750033/125000000000000000000000000 -12486683454555323643657853/25000000000000000000000000 -1343867014846434043330889/12500000000000000000000000 -14289000813967577954005333/62500000000000000000000000 -1577385752590558950050347/15625000000000000000000000
12093248040102246855750033/125000000000000000000000000 4050093963284841850311753/25000000000000000000000000 -28950024293527278042047661/125000000000000000000000000 -5129438638716061622971359/12500000000000000000000000 -1612271806450514372859/20000000000000000000000 20608478980829337399369/3906250000000000000000000
-12486683454555323643657853/25000000000000000000000000 -28950024293527278042047661/125000000000000000000000000 151137112867401569081335117/125000000000000000000000000 3153185095259406567283201/12500000000000000000000000 34625653139034629606885381/62500000000000000000000000 3836554950662550634912637/15625000000000000000000000
-1343867014846434043330889/12500000000000000000000000 -5129438638716061622971359/12500000000000000000000000 3153185095259406567283201/12500000000000000000000000 11667803153513832433970603/10000000000000000000000000 1854487391420274776813677/50000000000000000000000000 -877999604227795381721/8000000000000000000000
-14289000813967577954005333/62500000000000000000000000 -1612271806450514372859/20000000000000000000000 34625653139034629606885381/62500000000000000000000000 1854487391420274776813677/50000000000000000000000000 12968932140936049730648671/50000000000000000000000000 15480970485078508979936629/125000000000000000000000000
-1577385752590558950050347/15625000000000000000000000 20608478980829337399369/3906250000000000000000000 3836554950662550634912637/15625000000000000000000000 -877999604227795381721/8000000000000000000000 15480970485078508979936629/125000000000000000000000000 4570122938115835933291043/62500000000000000000000000


--- 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 :
50388652187334612836128493/500000000000000000000000000 -18730515233420112849998911/1000000000000000000000000000 -58528985473106868894962987/200000000000000000000000000 5124397641088719671558631/125000000000000000000000000 -9808881496004343667302849/125000000000000000000000000 5046406440646396742674203/250000000000000000000000000 19124920222672543205863407/250000000000000000000000000 21115204655328384770550277/125000000000000000000000000 147101120261471892674781933/1000000000000000000000000000 68963627686060816256709107/500000000000000000000000000 -25216632923453085811352853/200000000000000000000000000 -26393365241749828935871729/250000000000000000000000000
-18730515233420112849998911/1000000000000000000000000000 1572699915413873060242782367/1000000000000000000000000000 200506415415913535907835669/500000000000000000000000000 431206197084528363227383771/500000000000000000000000000 265282605598346875969073433/500000000000000000000000000 61507730580448599217339373/500000000000000000000000000 -472815917969510542722931069/250000000000000000000000000 815902939919756771283531511/500000000000000000000000000 -12157902352174813869594709/62500000000000000000000000 -8940586939741447378682809/125000000000000000000000000 919095358142318280486192047/1000000000000000000000000000 -651067486862122039060099017/250000000000000000000000000
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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 :
2434290618384911717895556859/1000000000000000000000000000 1874178574902356197920835323/1000000000000000000000000000 1473225087930900657854127869/1000000000000000000000000000 143800494408881492389874131/250000000000000000000000000
1874178574902356197920835323/1000000000000000000000000000 4065480878080723174520211007/1000000000000000000000000000 1181682380678403196662326989/1000000000000000000000000000 374765163361770693936005307/250000000000000000000000000
1473225087930900657854127869/1000000000000000000000000000 1181682380678403196662326989/1000000000000000000000000000 2297196611591703607716766737/1000000000000000000000000000 937912571708400991807477/976562500000000000000000
143800494408881492389874131/250000000000000000000000000 374765163361770693936005307/250000000000000000000000000 937912571708400991807477/976562500000000000000000 1069811584890586889630562633/250000000000000000000000000


--- Term 10 ---

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

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

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

Matrix :
1012297416130109389343424789/200000000000000000000000000 -845078461733424921149498297/1000000000000000000000000000 -1214803293732116785872571501/1000000000000000000000000000 365012610429169466326037337/250000000000000000000000000 937068086885458583730373569/1000000000000000000000000000 -1102372156541390624179159861/1000000000000000000000000000 -179832383693269378315876193/1000000000000000000000000000 277361674643193018410424197/200000000000000000000000000 -1312050007884585879021769813/250000000000000000000000000 -249041557914946389641651599/1000000000000000000000000000
-845078461733424921149498297/1000000000000000000000000000 74413093025937647664360049/125000000000000000000000000 246081002313425233536590911/1000000000000000000000000000 -472424516094615623769127077/1000000000000000000000000000 -61480414383265343370383013/250000000000000000000000000 109068339573715765623562299/1000000000000000000000000000 73843765292425535073049071/1000000000000000000000000000 -315233942356975088629920437/1000000000000000000000000000 863517039862309848077500633/1000000000000000000000000000 49616468726401706387218439/1000000000000000000000000000
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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 :
107609392136642121721938513/100000000000000000000000000 -97178670741157941759079479/500000000000000000000000000 76388569044931813304129133/250000000000000000000000000 -173770097761075609644220509/500000000000000000000000000 0/1 0/1
-97178670741157941759079479/500000000000000000000000000 1783889798380649877606345133/1000000000000000000000000000 237316965435523579512187711/200000000000000000000000000 226936463426068458232556167/1000000000000000000000000000 0/1 0/1
76388569044931813304129133/250000000000000000000000000 237316965435523579512187711/200000000000000000000000000 1513544541790273446244853063/500000000000000000000000000 2471490713409138425346061/125000000000000000000000000 0/1 0/1
-173770097761075609644220509/500000000000000000000000000 226936463426068458232556167/1000000000000000000000000000 2471490713409138425346061/125000000000000000000000000 635638165870395142924616657/500000000000000000000000000 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 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 :
153846732853457427130665871/1000000000000000000000000000 1500284594836862869433899/100000000000000000000000000 -38552403752824727767599377/1000000000000000000000000000 -27729329103644657812508921/1000000000000000000000000000 -365626311479999416049199703/1000000000000000000000000000 61528873569248168657613889/200000000000000000000000000 -80847020555173405383173643/1000000000000000000000000000 67975604970798776692149677/1000000000000000000000000000 346031858628298765077969067/1000000000000000000000000000
1500284594836862869433899/100000000000000000000000000 45720297072557924567519/31250000000000000000000000 -375955844058071461924757/100000000000000000000000000 -676028093059832799067577/250000000000000000000000000 -1114224836803505491096673/31250000000000000000000000 3000090396509630215025099/100000000000000000000000000 -3942025197016070522238471/500000000000000000000000000 3314426997274827292892587/500000000000000000000000000 16872190172452432093350131/500000000000000000000000000
-38552403752824727767599377/1000000000000000000000000000 -375955844058071461924757/100000000000000000000000000 150539170881322605472633519/1000000000000000000000000000 -4392468670386202938593153/1000000000000000000000000000 91622180851472289684272801/1000000000000000000000000000 -15418500807166063028256479/200000000000000000000000000 20259429103219741875873861/1000000000000000000000000000 -17033985202952911292016259/1000000000000000000000000000 -86712013132864473625761749/1000000000000000000000000000
-27729329103644657812508921/1000000000000000000000000000 -676028093059832799067577/250000000000000000000000000 -4392468670386202938593153/1000000000000000000000000000 15563794201654990335798047/500000000000000000000000000 4118779501944322066192919/62500000000000000000000000 -11089961761660060332902201/200000000000000000000000000 2914372766754199957339209/200000000000000000000000000 -12251920375054356816987061/1000000000000000000000000000 -62368768640714794292119829/1000000000000000000000000000
-365626311479999416049199703/1000000000000000000000000000 -1114224836803505491096673/31250000000000000000000000 91622180851472289684272801/1000000000000000000000000000 4118779501944322066192919/62500000000000000000000000 434466813714547068726932783/500000000000000000000000000 -146227187769219270016828891/200000000000000000000000000 192137963357935838164002723/1000000000000000000000000000 -161548245160125471270557519/1000000000000000000000000000 -6578929550377655176549511/8000000000000000000000000
61528873569248168657613889/200000000000000000000000000 3000090396509630215025099/100000000000000000000000000 -15418500807166063028256479/200000000000000000000000000 -11089961761660060332902201/200000000000000000000000000 -146227187769219270016828891/200000000000000000000000000 123038111127994838439140639/200000000000000000000000000 -32333648001013634222432877/200000000000000000000000000 27185903310831615120579599/200000000000000000000000000 138390657283263036360579493/200000000000000000000000000
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67975604970798776692149677/1000000000000000000000000000 3314426997274827292892587/500000000000000000000000000 -17033985202952911292016259/1000000000000000000000000000 -12251920375054356816987061/1000000000000000000000000000 -161548245160125471270557519/1000000000000000000000000000 27185903310831615120579599/200000000000000000000000000 -35721428920815798604924257/1000000000000000000000000000 30034325626839217383854371/1000000000000000000000000000 6115625465204649450759161/40000000000000000000000000
346031858628298765077969067/1000000000000000000000000000 16872190172452432093350131/500000000000000000000000000 -86712013132864473625761749/1000000000000000000000000000 -62368768640714794292119829/1000000000000000000000000000 -6578929550377655176549511/8000000000000000000000000 138390657283263036360579493/200000000000000000000000000 -181841006749973541095435079/1000000000000000000000000000 6115625465204649450759161/40000000000000000000000000 778294377559568996840198167/1000000000000000000000000000


--- 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 :
88809109965950663224997697/500000000000000000000000000 2168400461090239921/1000000000000000000000000000 -238850257616167267471036473/1000000000000000000000000000 47770051211652807572093673/200000000000000000000000000 59712564405887169097516149/250000000000000000000000000 339475815843464609604438597/1000000000000000000000000000 -233312064409583543/1000000000000000000000000000
2168400461090239921/1000000000000000000000000000 16545632445247794166746523/4000000000000000000000000 992205213058178675500168987/1000000000000000000000000000 -992205214871173124042175857/1000000000000000000000000000 496102608782022486355165569/500000000000000000000000000 2594471034830751881/1000000000000000000000000000 303086024725429443067632139/1000000000000000000000000000
-238850257616167267471036473/1000000000000000000000000000 992205213058178675500168987/1000000000000000000000000000 1269115253221552147646610799/500000000000000000000000000 -3507861451965692353809019/25000000000000000000000000 -313587204593019773498707029/500000000000000000000000000 -118854178307913387773649697/250000000000000000000000000 78678750712394094534468333/500000000000000000000000000
47770051211652807572093673/200000000000000000000000000 -992205214871173124042175857/1000000000000000000000000000 -3507861451965692353809019/25000000000000000000000000 1269115251410641391457930907/500000000000000000000000000 -177074163905290199136715209/100000000000000000000000000 118854178571527725964271627/250000000000000000000000000 -39339375680766239932429737/250000000000000000000000000
59712564405887169097516149/250000000000000000000000000 496102608782022486355165569/500000000000000000000000000 -313587204593019773498707029/500000000000000000000000000 -177074163905290199136715209/100000000000000000000000000 126911525289091506494972073/50000000000000000000000000 237708357410102951188252911/500000000000000000000000000 78678750881485170702043569/500000000000000000000000000
339475815843464609604438597/1000000000000000000000000000 2594471034830751881/1000000000000000000000000000 -118854178307913387773649697/250000000000000000000000000 118854178571527725964271627/250000000000000000000000000 237708357410102951188252911/500000000000000000000000000 1409050933396361073279823397/1000000000000000000000000000 -1156261353574671767/1000000000000000000000000000
-233312064409583543/1000000000000000000000000000 303086024725429443067632139/1000000000000000000000000000 78678750712394094534468333/500000000000000000000000000 -39339375680766239932429737/250000000000000000000000000 78678750881485170702043569/500000000000000000000000000 -1156261353574671767/1000000000000000000000000000 168272090152516309170838923/1000000000000000000000000000


--- 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 :
321829339128019091040208993/250000000000000000000000000 -351128676573673670803302423/1000000000000000000000000000 178855386791872586768381/1562500000000000000000000 14632732467697415275225369/125000000000000000000000000 -312300795128188326769540493/500000000000000000000000000 -7903441441903141192045083/250000000000000000000000000 504791135561446224837294753/1000000000000000000000000000 -138237856838668236893387629/1000000000000000000000000000 -641087978404626646127394793/1000000000000000000000000000 3096995777221351716755213/25000000000000000000000000 -76186651723595851501515521/250000000000000000000000000 -4695570893723669496787389/1000000000000000000000000000
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178855386791872586768381/1562500000000000000000000 -489134419576402555489661621/1000000000000000000000000000 228266954153368341716772793/200000000000000000000000000 28441098657896514555834493/125000000000000000000000000 -1214014922532552202293155181/1000000000000000000000000000 -30723250455361603320716731/500000000000000000000000000 6132148685156582848538859/6250000000000000000000000 -268687789281493538827991413/1000000000000000000000000000 -1246058903527425458152455733/1000000000000000000000000000 120390313301152624555967653/500000000000000000000000000 -132553955571646999831413327/500000000000000000000000000 -570412874411723800192887/62500000000000000000000000
14632732467697415275225369/125000000000000000000000000 -4340950952962981899495317/25000000000000000000000000 28441098657896514555834493/125000000000000000000000000 43063389971626051102024831/500000000000000000000000000 -229771354225668869662882317/500000000000000000000000000 -363428546417324217750623/15625000000000000000000000 46424210486893365608103/125000000000000000000000 -50853375861683691929115053/500000000000000000000000000 -117918089957385909206477857/250000000000000000000000000 45571507935243375828729457/500000000000000000000000000 -1565272587504719931089277/25000000000000000000000000 -1727353262726660111654379/500000000000000000000000000
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504791135561446224837294753/1000000000000000000000000000 -7487574786136575128306607/10000000000000000000000000 6132148685156582848538859/6250000000000000000000000 46424210486893365608103/125000000000000000000000 -123851765031263381508614547/62500000000000000000000000 -25074675593448984556548801/250000000000000000000000000 400378571357511817316504073/250000000000000000000000000 -87715447447214054152782561/200000000000000000000000000 -1016966705501082084849749853/500000000000000000000000000 49128070920213832014309471/125000000000000000000000000 -134994562272476657800167909/500000000000000000000000000 -7448648284018640273793201/500000000000000000000000000
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-4695570893723669496787389/1000000000000000000000000000 3482473592114530493910939/500000000000000000000000000 -570412874411723800192887/62500000000000000000000000 -1727353262726660111654379/500000000000000000000000000 9216559557070226723880591/500000000000000000000000000 233244799663232235976419/250000000000000000000000000 -7448648284018640273793201/500000000000000000000000000 4079648386865147798104377/1000000000000000000000000000 4729915539779676497029161/250000000000000000000000000 -1827958573888003914758619/500000000000000000000000000 251144084264427974026719/100000000000000000000000000 69287376033758572918941/500000000000000000000000000


--- 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 :
894645477373376117011471639/250000000000000000000000000 356895370912826667642208473/250000000000000000000000000 241963482720463643043495819/250000000000000000000000000 296914956169694418671768963/250000000000000000000000000
356895370912826667642208473/250000000000000000000000000 409745619104516525800020731/250000000000000000000000000 277794236662104204748465993/250000000000000000000000000 340883106087409105944561301/250000000000000000000000000
241963482720463643043495819/250000000000000000000000000 277794236662104204748465993/250000000000000000000000000 188335480172631180301099379/250000000000000000000000000 231107686894888623993238703/250000000000000000000000000
296914956169694418671768963/250000000000000000000000000 340883106087409105944561301/250000000000000000000000000 231107686894888623993238703/250000000000000000000000000 283593738646317482089751151/250000000000000000000000000


--- 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 :
53466734498783535551529/62500000000000000000000000 6793790419105430913383307/1000000000000000000000000000 3558999812596195092453699/1000000000000000000000000000 179532022285965843103581/12500000000000000000000000 -1647858647100879351684429/200000000000000000000000000 -1003434972691254396480381/100000000000000000000000000
6793790419105430913383307/1000000000000000000000000000 53953627301405125787013429/1000000000000000000000000000 14132092486878856071230397/500000000000000000000000000 57030925133307322498580301/500000000000000000000000000 -16358311378183754473520561/250000000000000000000000000 -79688882343986541612349801/1000000000000000000000000000
3558999812596195092453699/1000000000000000000000000000 14132092486878856071230397/500000000000000000000000000 53802651064425109148737407/1000000000000000000000000000 29876260353612926864237949/500000000000000000000000000 -34277905777594294116113771/1000000000000000000000000000 -41745873699545086146252079/1000000000000000000000000000
179532022285965843103581/12500000000000000000000000 57030925133307322498580301/500000000000000000000000000 29876260353612926864237949/500000000000000000000000000 1883866864149302643236421/7812500000000000000000000 -69165294581944116550639983/500000000000000000000000000 -42117007791971688309721251/250000000000000000000000000
-1647858647100879351684429/200000000000000000000000000 -16358311378183754473520561/250000000000000000000000000 -34277905777594294116113771/1000000000000000000000000000 -69165294581944116550639983/500000000000000000000000000 79355361863100409019591787/1000000000000000000000000000 96644145423633620787198953/1000000000000000000000000000
-1003434972691254396480381/100000000000000000000000000 -79688882343986541612349801/1000000000000000000000000000 -41745873699545086146252079/1000000000000000000000000000 -42117007791971688309721251/250000000000000000000000000 96644145423633620787198953/1000000000000000000000000000 14712444479771676272376229/125000000000000000000000000


--- 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 :
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 388731664708158255540669723/1000000000000000000000000000 -250153189954743045273531587/1000000000000000000000000000 -6928923784219425118238141/100000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -250153189954743045273531587/1000000000000000000000000000 388731664708158255540669723/1000000000000000000000000000 -6928923784219425118238141/100000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -6928923784219425118238141/100000000000000000000000000 -6928923784219425118238141/100000000000000000000000000 194365832340192725483782471/500000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1


--- 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 :
14450926256905834520741169/1000000000000000000000000000 -11733344408246990241810819/125000000000000000000000000 171569048012780793741688233/1000000000000000000000000000 4412442595871245143182487/100000000000000000000000000 -1649070082753250900354853/250000000000000000000000000 -63711915914740616553147/8000000000000000000000000
-11733344408246990241810819/125000000000000000000000000 9526819842205635250298917/15625000000000000000000000 -139304477397565242678305521/125000000000000000000000000 -8956641902839181956238201/31250000000000000000000000 669476364800324833745461/15625000000000000000000000 6466314330367593788716489/125000000000000000000000000
171569048012780793741688233/1000000000000000000000000000 -139304477397565242678305521/125000000000000000000000000 509239645139441881130935021/250000000000000000000000000 523868548026738305650956719/1000000000000000000000000000 -7831453237947240769896209/100000000000000000000000000 -94552699998543892727007709/1000000000000000000000000000
4412442595871245143182487/100000000000000000000000000 -8956641902839181956238201/31250000000000000000000000 523868548026738305650956719/1000000000000000000000000000 134729423676594995687031247/1000000000000000000000000000 -10070533801725366592568909/500000000000000000000000000 -6079306930075329549873803/250000000000000000000000000
-1649070082753250900354853/250000000000000000000000000 669476364800324833745461/15625000000000000000000000 -7831453237947240769896209/100000000000000000000000000 -10070533801725366592568909/500000000000000000000000000 25674676671423496756674247/250000000000000000000000000 454406055199118900792371/125000000000000000000000000
-63711915914740616553147/8000000000000000000000000 6466314330367593788716489/125000000000000000000000000 -94552699998543892727007709/1000000000000000000000000000 -6079306930075329549873803/250000000000000000000000000 454406055199118900792371/125000000000000000000000000 4389000916536358867598077/1000000000000000000000000000


--- 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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