#Density : 12279758122566280762021879861/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 7, 8, 11, 12}
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 :
251779416449708681966152329/1000000000000000000000000000 -17150007499580070898281387/125000000000000000000000000 35122011170392371064918323/1000000000000000000000000000 -238353540702335863987289751/1000000000000000000000000000 307309092874226925636715113/1000000000000000000000000000 778668430343063701693371/1000000000000000000000000000
-17150007499580070898281387/125000000000000000000000000 1589591361822490670431221/15625000000000000000000000 -7557096314004212977983849/125000000000000000000000000 20945720767224818420297253/125000000000000000000000000 -31027191091216671917375019/125000000000000000000000000 7154783528346562671520167/125000000000000000000000000
35122011170392371064918323/1000000000000000000000000000 -7557096314004212977983849/125000000000000000000000000 68197226159350980691534241/1000000000000000000000000000 -90976395989898104991729837/1000000000000000000000000000 166586991748834359267292371/1000000000000000000000000000 -88228584753032276063861063/1000000000000000000000000000
-238353540702335863987289751/1000000000000000000000000000 20945720767224818420297253/125000000000000000000000000 -90976395989898104991729837/1000000000000000000000000000 278290424465233582242245769/1000000000000000000000000000 -403752908473988464438145847/1000000000000000000000000000 79825780393264390593486651/1000000000000000000000000000
307309092874226925636715113/1000000000000000000000000000 -31027191091216671917375019/125000000000000000000000000 166586991748834359267292371/1000000000000000000000000000 -403752908473988464438145847/1000000000000000000000000000 616900469073383550462787401/1000000000000000000000000000 -171709077125776532856305253/1000000000000000000000000000
778668430343063701693371/1000000000000000000000000000 7154783528346562671520167/125000000000000000000000000 -88228584753032276063861063/1000000000000000000000000000 79825780393264390593486651/1000000000000000000000000000 -171709077125776532856305253/1000000000000000000000000000 123283983977465990164727969/1000000000000000000000000000


--- 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 :
2195103632711691917716501/250000000000000000000000000 -712263583224448846199609/62500000000000000000000000 3359327928734962967323541/500000000000000000000000000 -2638349629134953735352351/500000000000000000000000000 4128505443224897834510411/500000000000000000000000000 3209498684352256304395387/250000000000000000000000000
-712263583224448846199609/62500000000000000000000000 231114105242047782766381/15625000000000000000000000 -1090029150373601004406969/125000000000000000000000000 856087308427034414357259/125000000000000000000000000 -1339610593564731096645799/125000000000000000000000000 -1041412805848670432684183/62500000000000000000000000
3359327928734962967323541/500000000000000000000000000 -1090029150373601004406969/125000000000000000000000000 5141025673962307948092181/1000000000000000000000000000 -4037659754574635965343391/1000000000000000000000000000 6318154383548091583643851/1000000000000000000000000000 4911731002997590873199867/500000000000000000000000000
-2638349629134953735352351/500000000000000000000000000 856087308427034414357259/125000000000000000000000000 -4037659754574635965343391/1000000000000000000000000000 3171098011877237461960701/1000000000000000000000000000 -4962153331940057842069761/1000000000000000000000000000 -3857576260811585917544337/500000000000000000000000000
4128505443224897834510411/500000000000000000000000000 -1339610593564731096645799/125000000000000000000000000 6318154383548091583643851/1000000000000000000000000000 -4962153331940057842069761/1000000000000000000000000000 7764807520126894565742421/1000000000000000000000000000 6036358644262591574283557/500000000000000000000000000
3209498684352256304395387/250000000000000000000000000 -1041412805848670432684183/62500000000000000000000000 4911731002997590873199867/500000000000000000000000000 -3857576260811585917544337/500000000000000000000000000 6036358644262591574283557/500000000000000000000000000 4692663094058027484641269/250000000000000000000000000


--- 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 :
6595937294932846595544503/8000000000000000000000000 292330949527492242652695661/500000000000000000000000000 299307676597789681608423033/500000000000000000000000000 -54277970019842252726749731/25000000000000000000000000 103067952573256255520612067/250000000000000000000000000 -1363994270061577205695686839/500000000000000000000000000 -184997684840571529335715123/500000000000000000000000000 598145772211305332295080051/500000000000000000000000000 20582598051902519344155263/250000000000000000000000000 1499445551840899510832237051/1000000000000000000000000000 11826397374970376855659829/15625000000000000000000000 -2075709011585814059861869389/1000000000000000000000000000
292330949527492242652695661/500000000000000000000000000 56102735900252747017639357/125000000000000000000000000 3502253731634660963473751/10000000000000000000000000 -738949492287245308165359883/500000000000000000000000000 15134404585610661934168769/100000000000000000000000000 -909090780619091250027612603/500000000000000000000000000 -88578433959426829178576169/500000000000000000000000000 229573443145275235303944951/250000000000000000000000000 -387955195714376132850857/500000000000000000000000000 569288570177731775451931049/500000000000000000000000000 49703734338241853116661093/100000000000000000000000000 -198687750892989991276701759/125000000000000000000000000
299307676597789681608423033/500000000000000000000000000 3502253731634660963473751/10000000000000000000000000 10701983709198780067754329/15625000000000000000000000 -120247124409007157730496813/62500000000000000000000000 213157925218371787404963247/250000000000000000000000000 -1282168964150175179517773563/500000000000000000000000000 -29608541742062899352564609/50000000000000000000000000 11082280509708749037739451/15625000000000000000000000 29268911057720578636769/97656250000000000000000 96882844077075052470180759/100000000000000000000000000 194428947028463915672861099/250000000000000000000000000 -64557820938773262237746349/50000000000000000000000000
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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 :
50984684883480823445767161/125000000000000000000000000 17832205847207928718072077/125000000000000000000000000 -12078056087019560668036239/125000000000000000000000000 -5457612149266186943977899/62500000000000000000000000
17832205847207928718072077/125000000000000000000000000 127750268319847347476739813/1000000000000000000000000000 11275671990089274718667643/250000000000000000000000000 1340977548047010081262539/12500000000000000000000000
-12078056087019560668036239/125000000000000000000000000 11275671990089274718667643/250000000000000000000000000 12855546175190458036091603/125000000000000000000000000 10021979524898799093365829/62500000000000000000000000
-5457612149266186943977899/62500000000000000000000000 1340977548047010081262539/12500000000000000000000000 10021979524898799093365829/62500000000000000000000000 8208255462381195873466593/31250000000000000000000000


--- 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 :
1126339758143859549368019/800000000000000000000000 111631247535742247595877053/100000000000000000000000000 -30172465318804518804691323/31250000000000000000000000 -9075040643954960833953393/500000000000000000000000000 -92161313151271956821593653/500000000000000000000000000 408877110336907904883596979/500000000000000000000000000 -475828346958112908540668139/500000000000000000000000000 -1593247601353443954462039/2000000000000000000000000 -15034118355367556881351791/62500000000000000000000000 -461827224098052018195339423/500000000000000000000000000
111631247535742247595877053/100000000000000000000000000 1874246100613544364779871/1250000000000000000000000 -707439682086842930597208867/500000000000000000000000000 52793629215253224775213653/500000000000000000000000000 -208032227650430473653161907/500000000000000000000000000 662136509641895203589710251/500000000000000000000000000 -740431605516153598442808561/500000000000000000000000000 -43840065238012997400115287/50000000000000000000000000 -36367450689784331910424713/125000000000000000000000000 -750343804983358031201057187/500000000000000000000000000
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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 :
2520489843831098427667133593/500000000000000000000000000 -123037598562279331374420299/250000000000000000000000000 94901687816801430395235159/20000000000000000000000000 -927567756891640625309924901/250000000000000000000000000 28353385652589473291139511/250000000000000000000000000 606789370981167056584280209/250000000000000000000000000
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606789370981167056584280209/250000000000000000000000000 -46559159752296664581354897/125000000000000000000000000 576401450836729521840527571/250000000000000000000000000 -260093711020278055410530079/125000000000000000000000000 -5667328720554820913991277/25000000000000000000000000 30329585375918295983708283/25000000000000000000000000


--- 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 :
13582494330792306069723493/62500000000000000000000000 1751727170211137171457971/31250000000000000000000000 602420517551588805968091/3125000000000000000000000 1921047364939604988642557/62500000000000000000000000 37881477428089654702510557/250000000000000000000000000 12331240476614341164429/125000000000000000000000000 -49427041223306359322665051/250000000000000000000000000 -17250812996141353393421761/125000000000000000000000000 -9626269981012576676898263/62500000000000000000000000
1751727170211137171457971/31250000000000000000000000 225919334411157532933237/15625000000000000000000000 77693858196237217700877/1562500000000000000000000 247756471121671877676379/31250000000000000000000000 4885554276145514358272379/125000000000000000000000000 1590353616884788159563/62500000000000000000000000 -6374579583495475270393997/125000000000000000000000000 -2224828304552618708245367/62500000000000000000000000 -1241494990746956128154161/31250000000000000000000000
602420517551588805968091/3125000000000000000000000 77693858196237217700877/1562500000000000000000000 26718986301682814809317/156250000000000000000000 85203668755039734248259/3125000000000000000000000 1680146420979025639964259/12500000000000000000000000 546924010351623007923/6250000000000000000000000 -2192223536385677995668837/12500000000000000000000000 -765120414573730133876607/6250000000000000000000000 -426951221389881732111081/3125000000000000000000000
1921047364939604988642557/62500000000000000000000000 247756471121671877676379/31250000000000000000000000 85203668755039734248259/3125000000000000000000000 271704363606837364583893/62500000000000000000000000 5357787061855946210515893/250000000000000000000000000 1744075605489668341221/125000000000000000000000000 -6990740064844562733807299/250000000000000000000000000 -2439877981334677937844089/125000000000000000000000000 -1361496653769831517352287/62500000000000000000000000
37881477428089654702510557/250000000000000000000000000 4885554276145514358272379/125000000000000000000000000 1680146420979025639964259/12500000000000000000000000 5357787061855946210515893/250000000000000000000000000 105651163710160587424447893/1000000000000000000000000000 34391739572915610145221/500000000000000000000000000 -137851656760361483656483299/1000000000000000000000000000 -48112391377777560718480089/500000000000000000000000000 -26847596628531295589740287/250000000000000000000000000
12331240476614341164429/125000000000000000000000000 1590353616884788159563/62500000000000000000000000 546924010351623007923/6250000000000000000000000 1744075605489668341221/125000000000000000000000000 34391739572915610145221/500000000000000000000000000 11195255303539067637/250000000000000000000000000 -44873696725229356042803/500000000000000000000000000 -15661624315223562719433/250000000000000000000000000 -8739473556014767204239/125000000000000000000000000
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--- 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 :
82924580275713866323152377/200000000000000000000000000 1178454828119609283/250000000000000000000000000 -12519762760158806724521883/25000000000000000000000000 12519762760158806724521883/25000000000000000000000000 62598814481036704227880451/125000000000000000000000000 188502191256808968481441159/500000000000000000000000000 -179947952043101387/500000000000000000000000000
1178454828119609283/250000000000000000000000000 43366686929034735971163077/6250000000000000000000000 477801897737489483599084553/125000000000000000000000000 -477801897737489483599084553/125000000000000000000000000 1911207592106074078378063203/500000000000000000000000000 4614899386659129547/500000000000000000000000000 24319630326469885055710797/500000000000000000000000000
-12519762760158806724521883/25000000000000000000000000 477801897737489483599084553/125000000000000000000000000 169425487095036962576322629/62500000000000000000000000 -169425487095036962576322629/62500000000000000000000000 93817284774814647719446881/62500000000000000000000000 -11383851168607211317266161/25000000000000000000000000 445401597264563063854173/15625000000000000000000000
12519762760158806724521883/25000000000000000000000000 -477801897737489483599084553/125000000000000000000000000 -169425487095036962576322629/62500000000000000000000000 169425487095036962576322629/62500000000000000000000000 -93817284774814647719446881/62500000000000000000000000 11383851168607211317266161/25000000000000000000000000 -445401597264563063854173/15625000000000000000000000
62598814481036704227880451/125000000000000000000000000 1911207592106074078378063203/500000000000000000000000000 93817284774814647719446881/62500000000000000000000000 -93817284774814647719446881/62500000000000000000000000 2710807796666580600732855043/1000000000000000000000000000 91070811427522132610286517/200000000000000000000000000 28505701285998905841925169/1000000000000000000000000000
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--- 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 :
46947486569526211696969793/15625000000000000000000000 2510953595402044957685043169/1000000000000000000000000000 211700883148184214318007539/1000000000000000000000000000 -99462307194954696491207809/1000000000000000000000000000 -2718736242503346107173852521/1000000000000000000000000000 -89674077097647370592358311/1000000000000000000000000000 -22890559453918030280907603/62500000000000000000000000 -93088002722316742916802007/250000000000000000000000000 -93479990910676533393016291/1000000000000000000000000000 -91897658947881207905357869/250000000000000000000000000 -1062848378055543140973246571/1000000000000000000000000000 -158774137780544064318703001/500000000000000000000000000
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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 :
10019846155523932823300123/500000000000000000000000000 -9996738378330060735436437/125000000000000000000000000 -130534220077704529456592387/500000000000000000000000000 -64941438068738195142171517/500000000000000000000000000
-9996738378330060735436437/125000000000000000000000000 79789471138483038297465993/250000000000000000000000000 520932728617462959465406047/500000000000000000000000000 259166680289914474983221391/500000000000000000000000000
-130534220077704529456592387/500000000000000000000000000 520932728617462959465406047/500000000000000000000000000 4379981987295193041542625631/1000000000000000000000000000 1692057912192263316503225531/1000000000000000000000000000
-64941438068738195142171517/500000000000000000000000000 259166680289914474983221391/500000000000000000000000000 1692057912192263316503225531/1000000000000000000000000000 168361482321191717135248163/200000000000000000000000000


--- 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 :
1791191321476164855859/3906250000000000000000000 236239145875273216667/1562500000000000000000000 3320071292511052707071/7812500000000000000000000 4898267482119796140149/15625000000000000000000000 -566635208294326571683/1953125000000000000000000 -1422948048366028190497/976562500000000000000000
236239145875273216667/1562500000000000000000000 31157438836787743171/625000000000000000000000 437882205537619036423/3125000000000000000000000 646029551600863967437/6250000000000000000000000 -74733176755228330379/781250000000000000000000 -187671762106262887961/390625000000000000000000
3320071292511052707071/7812500000000000000000000 437882205537619036423/3125000000000000000000000 6153934119260800591099/15625000000000000000000000 9079207260240589291081/31250000000000000000000000 -1050289416785256679727/3906250000000000000000000 -2637512201779358966693/1953125000000000000000000
4898267482119796140149/15625000000000000000000000 646029551600863967437/6250000000000000000000000 9079207260240589291081/31250000000000000000000000 13395009253740111634339/62500000000000000000000000 -1549544586183509409413/7812500000000000000000000 -3891253865786380988567/3906250000000000000000000
-566635208294326571683/1953125000000000000000000 -74733176755228330379/781250000000000000000000 -1050289416785256679727/3906250000000000000000000 -1549544586183509409413/7812500000000000000000000 179252464786480023571/976562500000000000000000 450143127710893775089/488281250000000000000000
-1422948048366028190497/976562500000000000000000 -187671762106262887961/390625000000000000000000 -2637512201779358966693/1953125000000000000000000 -3891253865786380988567/3906250000000000000000000 450143127710893775089/488281250000000000000000 1130410316347455569851/244140625000000000000000


--- 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 :
429203064570920690963286059/1000000000000000000000000000 -429203064570920690963286059/1000000000000000000000000000 -548150982688872219/1000000000000000000000000000 1162211819020348677568801/10000000000000000000000000 -58110591018236574826495733/500000000000000000000000000 29055295465631179333414691/250000000000000000000000000 0/1 -34604796327993198182381659/250000000000000000000000000 34604796327993198182381659/250000000000000000000000000 77303980991378147/200000000000000000000000000
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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 :
119133730614080216793339619/1000000000000000000000000000 -1695962649389792140137243/500000000000000000000000000 -121491236319634966216819/10000000000000000000000000 1386902505874598547192819/31250000000000000000000000 1033972938624149992382329/500000000000000000000000000 -2245839339737152132823497/12500000000000000000000000
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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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