#Density : 1538427603623839482310064342017/8000000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 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 :
157536096170760539454862991/1000000000000000000000000000000 -8544979361783709270183641/500000000000000000000000000000 -31219075231392681139991887/250000000000000000000000000000 -172501981799318068605760507/1000000000000000000000000000000 26941063931354415558154517/250000000000000000000000000000 -87151560122982422917463471/500000000000000000000000000000
-8544979361783709270183641/500000000000000000000000000000 463491695351923888401791/250000000000000000000000000000 1693366536498805042278937/125000000000000000000000000000 9356750041236252660380557/500000000000000000000000000000 -1461321188436604197796067/125000000000000000000000000000 4727223161547139863016121/250000000000000000000000000000
-31219075231392681139991887/250000000000000000000000000000 1693366536498805042278937/125000000000000000000000000000 6186713280281552046777359/62500000000000000000000000000 34184878756420455319136699/250000000000000000000000000000 -5338935787611709074749269/62500000000000000000000000000 17270906021839219742811247/125000000000000000000000000000
-172501981799318068605760507/1000000000000000000000000000000 9356750041236252660380557/500000000000000000000000000000 34184878756420455319136699/250000000000000000000000000000 188889622429372430192884439/1000000000000000000000000000000 -29500457564361946844345209/250000000000000000000000000000 95430934265509858001453467/500000000000000000000000000000
26941063931354415558154517/250000000000000000000000000000 -1461321188436604197796067/125000000000000000000000000000 -5338935787611709074749269/62500000000000000000000000000 -29500457564361946844345209/250000000000000000000000000000 4607330912698100155297079/62500000000000000000000000000 -14904239790514368975100277/125000000000000000000000000000
-87151560122982422917463471/500000000000000000000000000000 4727223161547139863016121/250000000000000000000000000000 17270906021839219742811247/125000000000000000000000000000 95430934265509858001453467/500000000000000000000000000000 -14904239790514368975100277/125000000000000000000000000000 48213676842904794136838351/250000000000000000000000000000


--- 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 :
966929687641289888807793358177/500000000000000000000000000000 66614770197924908205925366559/200000000000000000000000000000 161804147260015043712601509/40000000000000000000000000000 -1698433567648186183215298481981/1000000000000000000000000000000 -140286408040256518313058999493/100000000000000000000000000000 -1580208273099401065081826645991/1000000000000000000000000000000 -2020516936889105797260795837177/1000000000000000000000000000000 608889093252853206837818119213/500000000000000000000000000000 -271922428401555977814205974551/250000000000000000000000000000 638436004074036369321781581473/500000000000000000000000000000 -2073609573223418486277660000753/1000000000000000000000000000000 -114318264742570157415481235879/250000000000000000000000000000
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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 :
1116062805258812264969059265083/1000000000000000000000000000000 135580874825082604555084739887/200000000000000000000000000000 931168338286619750526574944131/1000000000000000000000000000000 -239191064581154512174338609871/500000000000000000000000000000
135580874825082604555084739887/200000000000000000000000000000 4117638705393451486296068357/10000000000000000000000000000 113119635668748603261025230039/200000000000000000000000000000 -29057265978683335454769452899/100000000000000000000000000000
931168338286619750526574944131/1000000000000000000000000000000 113119635668748603261025230039/200000000000000000000000000000 776904731652975608565538471307/1000000000000000000000000000000 -199565064849030903385338826487/500000000000000000000000000000
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--- 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 :
5544249045683058457564010320347/500000000000000000000000000000 2124886167386737223973489200313/500000000000000000000000000000 -341670398508274295442433461087/250000000000000000000000000000 -1722866630477680226569439479043/250000000000000000000000000000 433869053639447443111030893357/250000000000000000000000000000 -5246619208988522709227092031/2500000000000000000000000000 40238121688484106872144396727/250000000000000000000000000000 -2447873860172360424329548727367/500000000000000000000000000000 -1227809902836169416397181589963/500000000000000000000000000000 465359799154136606609798801079/500000000000000000000000000000
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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 :
4268308721337348350841587471/1562500000000000000000000000 2663360773404255747000240363/1250000000000000000000000000 -848036417372816911432935173/5000000000000000000000000000 16881456818724601227888749733/25000000000000000000000000000 8818331627421876175144218721/25000000000000000000000000000 -23138486516956579909335164431/25000000000000000000000000000
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8818331627421876175144218721/25000000000000000000000000000 2751253491334475066708414447/10000000000000000000000000000 -4380110991698374433700887907/200000000000000000000000000000 87192781907580124624723764671/1000000000000000000000000000000 45546712859856249243696316821/1000000000000000000000000000000 -119510361586716231464365685033/1000000000000000000000000000000
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--- 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 :
280562736638084142592410966301/250000000000000000000000000000 2712332464149473995755054789/31250000000000000000000000000 -671338958993562609057583649517/500000000000000000000000000000 103212179124029390496882704673/250000000000000000000000000000 -117822301589613479426903723157/250000000000000000000000000000 -1878032863053387376384752781/15625000000000000000000000000 -41419952788176398143095273193/500000000000000000000000000000 42159331430108350570626203811/125000000000000000000000000000 -107011060411413934262841304203/500000000000000000000000000000
2712332464149473995755054789/31250000000000000000000000000 1682791960458043382985225981/250000000000000000000000000000 -132940663737777996175274301/1250000000000000000000000000 15870175618882117842539875719/500000000000000000000000000000 -9196923966798515394634612857/250000000000000000000000000000 -930341253846226789023392313/100000000000000000000000000000 -470218737835283865202003743/125000000000000000000000000000 3503580235552890052004013579/125000000000000000000000000000 -267404713247664402073331589/15625000000000000000000000000
-671338958993562609057583649517/500000000000000000000000000000 -132940663737777996175274301/1250000000000000000000000000 973583498637937616231932135551/500000000000000000000000000000 -117060679604072130708494267757/250000000000000000000000000000 304891641318112157957594357133/500000000000000000000000000000 144837495059473756268709380337/1000000000000000000000000000000 -4062134118122239588219150239/15625000000000000000000000000 -667418393345721637213535104917/1000000000000000000000000000000 332284059431773331318851163067/1000000000000000000000000000000
103212179124029390496882704673/250000000000000000000000000000 15870175618882117842539875719/500000000000000000000000000000 -117060679604072130708494267757/250000000000000000000000000000 153814557220047576898103035293/1000000000000000000000000000000 -16991273321561896109663038881/100000000000000000000000000000 -44138395811687384968810066113/1000000000000000000000000000000 -14387986678454447631584880531/250000000000000000000000000000 52087877553035332860239698851/500000000000000000000000000000 -7298574511700740434359836119/100000000000000000000000000000
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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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 436208194160558559199196705283/500000000000000000000000000000 407602364272639812425033024301/500000000000000000000000000000 -407602364272639812425033024301/500000000000000000000000000000 407602364272639812425033024301/500000000000000000000000000000 0/1 77387489970159634254081194361/100000000000000000000000000000
0/1 407602364272639812425033024301/500000000000000000000000000000 380872458575350436944654314147/500000000000000000000000000000 -380872458575350436944654314147/500000000000000000000000000000 380872458575350436944654314147/500000000000000000000000000000 0/1 72312543182881771779312626967/100000000000000000000000000000
0/1 -407602364272639812425033024301/500000000000000000000000000000 -380872458575350436944654314147/500000000000000000000000000000 380872458575350436944654314147/500000000000000000000000000000 -380872458575350436944654314147/500000000000000000000000000000 0/1 -72312543182881771779312626967/100000000000000000000000000000
0/1 407602364272639812425033024301/500000000000000000000000000000 380872458575350436944654314147/500000000000000000000000000000 -380872458575350436944654314147/500000000000000000000000000000 380872458575350436944654314147/500000000000000000000000000000 0/1 72312543182881771779312626967/100000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 77387489970159634254081194361/100000000000000000000000000000 72312543182881771779312626967/100000000000000000000000000000 -72312543182881771779312626967/100000000000000000000000000000 72312543182881771779312626967/100000000000000000000000000000 0/1 13729278092555053837405548987/20000000000000000000000000000


--- 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 :
14661168583214076713505888979/62500000000000000000000000000 -13536087524067216857266726567/500000000000000000000000000000 97602380529038752935346549597/500000000000000000000000000000 34098941289059063911904099/800000000000000000000000000 202529274100520215468611916901/500000000000000000000000000000 -239233279084284471495040466923/1000000000000000000000000000000 6041279748465278389864241581/500000000000000000000000000000 -100420383174771899498374023949/200000000000000000000000000000 30163514722887221287600727787/500000000000000000000000000000 -224854033161932512080850985197/1000000000000000000000000000000 -110554051548021239103621073/40000000000000000000000000000 -32478244875470450176660284117/250000000000000000000000000000
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-32478244875470450176660284117/250000000000000000000000000000 64354099303581967406780026301/500000000000000000000000000000 -11824874787507776185717652217/40000000000000000000000000000 55132676277005219975807761109/500000000000000000000000000000 939737206818123234038535412943/1000000000000000000000000000000 18082289231005587573485447969/62500000000000000000000000000 -141840204232008253153056951173/200000000000000000000000000000 -92694307701783972218224899/20000000000000000000000000000 -16817463554762995076904454819/250000000000000000000000000000 304184295236213976227237801501/1000000000000000000000000000000 358681966246897491731191521267/500000000000000000000000000000 218158635245316491412648733979/500000000000000000000000000000


--- 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 :
728615619217182336550489398233/500000000000000000000000000000 21620664726477116075750351281/62500000000000000000000000000 93137128520688722900110646757/250000000000000000000000000000 -4028888904224089052843431659/125000000000000000000000000000
21620664726477116075750351281/62500000000000000000000000000 189242339841584840458982623411/250000000000000000000000000000 3836655841055945856341745891/5000000000000000000000000000 9920957734732091854262702733/125000000000000000000000000000
93137128520688722900110646757/250000000000000000000000000000 3836655841055945856341745891/5000000000000000000000000000 81112944580455752508843512421/40000000000000000000000000000 239087076498208304536114770219/500000000000000000000000000000
-4028888904224089052843431659/125000000000000000000000000000 9920957734732091854262702733/125000000000000000000000000000 239087076498208304536114770219/500000000000000000000000000000 90317416212348362573014304541/250000000000000000000000000000


--- 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 :
206111267609441751018981973927/1000000000000000000000000000000 13420527862370066043108827893/125000000000000000000000000000 -7322750687754550409230990323/1000000000000000000000000000000 -49975687757437201404796205721/250000000000000000000000000000 -119086446854162182320152143027/500000000000000000000000000000 -42898220576172879746333228087/250000000000000000000000000000
13420527862370066043108827893/125000000000000000000000000000 61614642794048331959654270769/1000000000000000000000000000000 -762890303130675723423922249/200000000000000000000000000000 -28419947835071543209283393689/250000000000000000000000000000 -124065258270588603814756297791/1000000000000000000000000000000 -3775240592433560196636580869/40000000000000000000000000000
-7322750687754550409230990323/1000000000000000000000000000000 -762890303130675723423922249/200000000000000000000000000000 32520467134661237098078741/125000000000000000000000000000 887771702588992255972397531/125000000000000000000000000000 8461840739886018146846272913/1000000000000000000000000000000 6096376542043115757880695413/1000000000000000000000000000000
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-119086446854162182320152143027/500000000000000000000000000000 -124065258270588603814756297791/1000000000000000000000000000000 8461840739886018146846272913/1000000000000000000000000000000 11549930584694210746715534147/50000000000000000000000000000 275221864167498814620175730481/1000000000000000000000000000000 198285003009635539580558410119/1000000000000000000000000000000
-42898220576172879746333228087/250000000000000000000000000000 -3775240592433560196636580869/40000000000000000000000000000 6096376542043115757880695413/1000000000000000000000000000000 8589097224779486253222344183/50000000000000000000000000000 198285003009635539580558410119/1000000000000000000000000000000 158375428321316592816999562797/1000000000000000000000000000000


--- 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 :
13503989671113139627593604637/1000000000000000000000000000000 -5275546127025450420142040153/1000000000000000000000000000000 -4114221801438893205924113363/1000000000000000000000000000000 2356158107669667591/1000000000000000000000000000000 2356158107669667591/1000000000000000000000000000000 -2356158107669667591/1000000000000000000000000000000 -1057255918311820027819492479/125000000000000000000000000000 0/1 0/1 0/1
-5275546127025450420142040153/1000000000000000000000000000000 13503989670953402835144447703/1000000000000000000000000000000 -4114221802512935067978882399/1000000000000000000000000000000 -2356158107857462949/1000000000000000000000000000000 -2356158107857462949/1000000000000000000000000000000 2356158107857462949/1000000000000000000000000000000 -66078494887096556046554703/7812500000000000000000000000 0/1 0/1 0/1
-4114221801438893205924113363/1000000000000000000000000000000 -4114221802512935067978882399/1000000000000000000000000000000 6751994922170038095998763851/500000000000000000000000000000 -3684071818678688929/1000000000000000000000000000000 -3684071818678688929/1000000000000000000000000000000 3684071818678688929/1000000000000000000000000000000 8259811953300439542357873/976562500000000000000000000 0/1 0/1 0/1
2356158107669667591/1000000000000000000000000000000 -2356158107857462949/1000000000000000000000000000000 -3684071818678688929/1000000000000000000000000000000 850799942402516464035660467/40000000000000000000000000000 850799942402516464035660467/40000000000000000000000000000 -850799942402516464035660467/40000000000000000000000000000 0/1 0/1 0/1 0/1
2356158107669667591/1000000000000000000000000000000 -2356158107857462949/1000000000000000000000000000000 -3684071818678688929/1000000000000000000000000000000 850799942402516464035660467/40000000000000000000000000000 850799942402516464035660467/40000000000000000000000000000 -850799942402516464035660467/40000000000000000000000000000 0/1 0/1 0/1 0/1
-2356158107669667591/1000000000000000000000000000000 2356158107857462949/1000000000000000000000000000000 3684071818678688929/1000000000000000000000000000000 -850799942402516464035660467/40000000000000000000000000000 -850799942402516464035660467/40000000000000000000000000000 850799942402516464035660467/40000000000000000000000000000 0/1 0/1 0/1 0/1
-1057255918311820027819492479/125000000000000000000000000000 -66078494887096556046554703/7812500000000000000000000000 8259811953300439542357873/976562500000000000000000000 0/1 0/1 0/1 872065101287336896022834969/12500000000000000000000000000 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 :
12018965630616223298611456949/62500000000000000000000000000 729735333181988064897301791/15625000000000000000000000000 -127282733704821484226847767/500000000000000000000000000 -3295241932740962910818601433/15625000000000000000000000000 -24708050503658444304815778079/50000000000000000000000000000 -123760865443726350014984874583/250000000000000000000000000000
729735333181988064897301791/15625000000000000000000000000 990963166618364171817484263/6250000000000000000000000000 -13455929500227505441051242159/62500000000000000000000000000 -41209836105929817428138384439/125000000000000000000000000000 -8055812075845018525803795123/15625000000000000000000000000 8936189661174078912594441183/31250000000000000000000000000
-127282733704821484226847767/500000000000000000000000000 -13455929500227505441051242159/62500000000000000000000000000 62122745735718690598267915237/125000000000000000000000000000 28473837152070855576579241771/50000000000000000000000000000 266633207376022551438407588107/250000000000000000000000000000 57967171074010455832697380307/250000000000000000000000000000
-3295241932740962910818601433/15625000000000000000000000000 -41209836105929817428138384439/125000000000000000000000000000 28473837152070855576579241771/50000000000000000000000000000 379005200343718433582980070083/500000000000000000000000000000 2580325057081137179539485263/2000000000000000000000000000 -56354995738935895525025388691/250000000000000000000000000000
-24708050503658444304815778079/50000000000000000000000000000 -8055812075845018525803795123/15625000000000000000000000000 266633207376022551438407588107/250000000000000000000000000000 2580325057081137179539485263/2000000000000000000000000000 2332714553265465158112684910829/1000000000000000000000000000000 180687206224351318128015571969/1000000000000000000000000000000
-123760865443726350014984874583/250000000000000000000000000000 8936189661174078912594441183/31250000000000000000000000000 57967171074010455832697380307/250000000000000000000000000000 -56354995738935895525025388691/250000000000000000000000000000 180687206224351318128015571969/1000000000000000000000000000000 479024551053284527359960470593/200000000000000000000000000000


--- 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 :
26177020438909418016138111113/20000000000000000000000000000 -651570069050347352513726331389/500000000000000000000000000000 -89232806218854671851738209/31250000000000000000000000000 -287442368110046412238417809637/250000000000000000000000000000 287442368110046412238417809637/250000000000000000000000000000 -287442371570962675906894520313/250000000000000000000000000000 815585911275984576797737781/100000000000000000000000000000 30862458063392622695077284093/31250000000000000000000000000 -241216630670267720797422812203/250000000000000000000000000000 -1420759201004868803981764229/125000000000000000000000000000
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