#Density : 335336044261708950942126739/1600000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 10, 12, 13, 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 :
134703967314484093228150527/250000000000000000000000000 132943836837716592234937737/250000000000000000000000000 -84011806299105236965171737/250000000000000000000000000 4358868222239329360417029/50000000000000000000000000 -81339503332027043491304121/125000000000000000000000000 -61931286002947391406012891/250000000000000000000000000
132943836837716592234937737/250000000000000000000000000 131206705381371503628963247/250000000000000000000000000 -82914052880082937085017247/250000000000000000000000000 4301912388234343327215699/50000000000000000000000000 -80276667978072043167069951/125000000000000000000000000 -61122051159071555389455821/250000000000000000000000000
-84011806299105236965171737/250000000000000000000000000 -82914052880082937085017247/250000000000000000000000000 52396256311891610569071247/250000000000000000000000000 -2718527153065671701133699/50000000000000000000000000 50729601619245765926451951/125000000000000000000000000 38625137085881906048177821/250000000000000000000000000
4358868222239329360417029/50000000000000000000000000 4301912388234343327215699/50000000000000000000000000 -2718527153065671701133699/50000000000000000000000000 141048051944086270705383/10000000000000000000000000 -2632054447653820542125667/25000000000000000000000000 -2004026458184622835190457/50000000000000000000000000
-81339503332027043491304121/125000000000000000000000000 -80276667978072043167069951/125000000000000000000000000 50729601619245765926451951/125000000000000000000000000 -2632054447653820542125667/25000000000000000000000000 49115960978748681240360783/62500000000000000000000000 37396523239978874878082493/125000000000000000000000000
-61931286002947391406012891/250000000000000000000000000 -61122051159071555389455821/250000000000000000000000000 38625137085881906048177821/250000000000000000000000000 -2004026458184622835190457/50000000000000000000000000 37396523239978874878082493/125000000000000000000000000 28473431499047286366676903/250000000000000000000000000


--- 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 :
28473431499047286366676903/250000000000000000000000000 -2004026458184622835190457/50000000000000000000000000 37396523239978874878082493/125000000000000000000000000 -61122051159071555389455821/250000000000000000000000000 38625137085881906048177821/250000000000000000000000000 -61931286002947391406012891/250000000000000000000000000
-2004026458184622835190457/50000000000000000000000000 141048051944086270705383/10000000000000000000000000 -2632054447653820542125667/25000000000000000000000000 4301912388234343327215699/50000000000000000000000000 -2718527153065671701133699/50000000000000000000000000 4358868222239329360417029/50000000000000000000000000
37396523239978874878082493/125000000000000000000000000 -2632054447653820542125667/25000000000000000000000000 49115960978748681240360783/62500000000000000000000000 -80276667978072043167069951/125000000000000000000000000 50729601619245765926451951/125000000000000000000000000 -81339503332027043491304121/125000000000000000000000000
-61122051159071555389455821/250000000000000000000000000 4301912388234343327215699/50000000000000000000000000 -80276667978072043167069951/125000000000000000000000000 131206705381371503628963247/250000000000000000000000000 -82914052880082937085017247/250000000000000000000000000 132943836837716592234937737/250000000000000000000000000
38625137085881906048177821/250000000000000000000000000 -2718527153065671701133699/50000000000000000000000000 50729601619245765926451951/125000000000000000000000000 -82914052880082937085017247/250000000000000000000000000 52396256311891610569071247/250000000000000000000000000 -84011806299105236965171737/250000000000000000000000000
-61931286002947391406012891/250000000000000000000000000 4358868222239329360417029/50000000000000000000000000 -81339503332027043491304121/125000000000000000000000000 132943836837716592234937737/250000000000000000000000000 -84011806299105236965171737/250000000000000000000000000 134703967314484093228150527/250000000000000000000000000


--- 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 :
884704025588517453629322487/1000000000000000000000000000 653278040155308492101628353/1000000000000000000000000000 -403713746902259599404168537/500000000000000000000000000 959004580862471718591269453/1000000000000000000000000000 -44351463120540137243317781/100000000000000000000000000 -48014544139319392502708149/62500000000000000000000000 142979188157231840678822937/1000000000000000000000000000 -748356802225162598390065081/250000000000000000000000000 -4743176878645654742921779/125000000000000000000000000 602095885931881551650901837/250000000000000000000000000 -2781613390492722617254429/40000000000000000000000000 990754813102220243636317113/1000000000000000000000000000
653278040155308492101628353/1000000000000000000000000000 44702569073834847836913343/62500000000000000000000000 -61990978423800311389861759/100000000000000000000000000 87553575265123136804690981/125000000000000000000000000 -75666987541202718174859507/500000000000000000000000000 -194085987099342100417809783/250000000000000000000000000 71401187793177931183416077/250000000000000000000000000 -3229595411537581983555183307/1000000000000000000000000000 4752055041558469630521947/62500000000000000000000000 2272858179870995588698497369/1000000000000000000000000000 -71939047211975158571929763/250000000000000000000000000 27798798437140702399400137/31250000000000000000000000
-403713746902259599404168537/500000000000000000000000000 -61990978423800311389861759/100000000000000000000000000 15480223800554599922804649/20000000000000000000000000 -386079785551147375894950327/500000000000000000000000000 59219446231399423973913879/100000000000000000000000000 25133490451198657840300333/100000000000000000000000000 -150606835170090444669067/1562500000000000000000000 1642287772981901975664877223/500000000000000000000000000 33741937753914345495860811/250000000000000000000000000 -1256313321268094027545149509/500000000000000000000000000 22937479569676499266911847/125000000000000000000000000 -265682615279809199046154549/250000000000000000000000000
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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 :
148354162048484804016547073/125000000000000000000000000 94880615424099828631744159/250000000000000000000000000 189112522670705143449085639/125000000000000000000000000 34403643066812634603246593/25000000000000000000000000
94880615424099828631744159/250000000000000000000000000 121384173145841033950318419/1000000000000000000000000000 121218995434603481971527687/250000000000000000000000000 22600142904632582646468639/50000000000000000000000000
189112522670705143449085639/125000000000000000000000000 121218995434603481971527687/250000000000000000000000000 247919329968159202690216377/125000000000000000000000000 58940673676381424129588679/25000000000000000000000000
34403643066812634603246593/25000000000000000000000000 22600142904632582646468639/50000000000000000000000000 58940673676381424129588679/25000000000000000000000000 41195652056085537324401409/5000000000000000000000000


--- 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 :
538405293474071496376129641/500000000000000000000000000 -437970483741442474615741397/500000000000000000000000000 -163568148865465325720764279/250000000000000000000000000 57413507099130019013025261/62500000000000000000000000 -631071348331635716593742949/500000000000000000000000000 189974165386625846089802569/125000000000000000000000000 -370860060746705548877172737/500000000000000000000000000 10332797113744559499982323/7812500000000000000000000 109937712184915083625364217/125000000000000000000000000 32005912414353209412290841/500000000000000000000000000
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32005912414353209412290841/500000000000000000000000000 -370860060746705548877172737/500000000000000000000000000 -163568148865465325720764279/250000000000000000000000000 109937712184915083625364217/125000000000000000000000000 -631071348331635716593742949/500000000000000000000000000 189974165386625846089802569/125000000000000000000000000 -437970483741442474615741397/500000000000000000000000000 10332797113744559499982323/7812500000000000000000000 57413507099130019013025261/62500000000000000000000000 538405293474071496376129641/500000000000000000000000000


--- 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 :
1957705729183042680335113449/500000000000000000000000000 299462445798460757767411191/250000000000000000000000000 142730442905333891182223157/100000000000000000000000000 931250140809018844295979/500000000000000000000000 473793835093116186916243449/500000000000000000000000000 -479093730267260305444573809/250000000000000000000000000
299462445798460757767411191/250000000000000000000000000 1687854848770914214875227799/1000000000000000000000000000 -1162167625226433665727207/8000000000000000000000000 977188135598293756751649/500000000000000000000000 -479093730267260305444573809/250000000000000000000000000 -1579992638424143187228912201/1000000000000000000000000000
142730442905333891182223157/100000000000000000000000000 -1162167625226433665727207/8000000000000000000000000 236422950744224939029786809/40000000000000000000000000 0/1 142730442905333891182223157/100000000000000000000000000 -1162167625226433665727207/8000000000000000000000000
931250140809018844295979/500000000000000000000000 977188135598293756751649/500000000000000000000000 0/1 5844193501047998486087943/2500000000000000000000000 -931250140809018844295979/500000000000000000000000 -977188135598293756751649/500000000000000000000000
473793835093116186916243449/500000000000000000000000000 -479093730267260305444573809/250000000000000000000000000 142730442905333891182223157/100000000000000000000000000 -931250140809018844295979/500000000000000000000000 1957705729183042680335113449/500000000000000000000000000 299462445798460757767411191/250000000000000000000000000
-479093730267260305444573809/250000000000000000000000000 -1579992638424143187228912201/1000000000000000000000000000 -1162167625226433665727207/8000000000000000000000000 -977188135598293756751649/500000000000000000000000 299462445798460757767411191/250000000000000000000000000 1687854848770914214875227799/1000000000000000000000000000


--- 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 :
1227623910514184564839/250000000000000000000000000 57136759754988881296503/62500000000000000000000000 21647278307285128577703/100000000000000000000000000 0/1 0/1 -21647278307285128577703/100000000000000000000000000 0/1 -57136759754988881296503/62500000000000000000000000 -1227623910514184564839/250000000000000000000000000
57136759754988881296503/62500000000000000000000000 2659291080386297347121031/15625000000000000000000000 1007519753728714571893431/25000000000000000000000000 0/1 0/1 -1007519753728714571893431/25000000000000000000000000 0/1 -2659291080386297347121031/15625000000000000000000000 -57136759754988881296503/62500000000000000000000000
21647278307285128577703/100000000000000000000000000 1007519753728714571893431/25000000000000000000000000 381716789726573849625831/40000000000000000000000000 0/1 0/1 -381716789726573849625831/40000000000000000000000000 0/1 -1007519753728714571893431/25000000000000000000000000 -21647278307285128577703/100000000000000000000000000
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
-21647278307285128577703/100000000000000000000000000 -1007519753728714571893431/25000000000000000000000000 -381716789726573849625831/40000000000000000000000000 0/1 0/1 381716789726573849625831/40000000000000000000000000 0/1 1007519753728714571893431/25000000000000000000000000 21647278307285128577703/100000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-57136759754988881296503/62500000000000000000000000 -2659291080386297347121031/15625000000000000000000000 -1007519753728714571893431/25000000000000000000000000 0/1 0/1 1007519753728714571893431/25000000000000000000000000 0/1 2659291080386297347121031/15625000000000000000000000 57136759754988881296503/62500000000000000000000000
-1227623910514184564839/250000000000000000000000000 -57136759754988881296503/62500000000000000000000000 -21647278307285128577703/100000000000000000000000000 0/1 0/1 21647278307285128577703/100000000000000000000000000 0/1 57136759754988881296503/62500000000000000000000000 1227623910514184564839/250000000000000000000000000


--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 7

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

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

Matrix :
1374610927154023490273161789/1000000000000000000000000000 130676619650203379/1000000000000000000000000000 631814532735549586427677749/1000000000000000000000000000 -631814532735549586427677749/1000000000000000000000000000 -39488408375515461764542469/62500000000000000000000000 -113429286994946689807200823/200000000000000000000000000 167769990757508967/200000000000000000000000000
130676619650203379/1000000000000000000000000000 233997178656581779412292869/1000000000000000000000000000 260678387628790337205893739/1000000000000000000000000000 -260678387628790337205893739/1000000000000000000000000000 32584798464450875538313257/125000000000000000000000000 -50125322538224113/200000000000000000000000000 -113429286994946689807200823/200000000000000000000000000
631814532735549586427677749/1000000000000000000000000000 260678387628790337205893739/1000000000000000000000000000 580803769465038969071878413/1000000000000000000000000000 -580803769465038969071878413/1000000000000000000000000000 0/1 -260678387628790337205893739/1000000000000000000000000000 -631814532735549586427677749/1000000000000000000000000000
-631814532735549586427677749/1000000000000000000000000000 -260678387628790337205893739/1000000000000000000000000000 -580803769465038969071878413/1000000000000000000000000000 580803769465038969071878413/1000000000000000000000000000 0/1 260678387628790337205893739/1000000000000000000000000000 631814532735549586427677749/1000000000000000000000000000
-39488408375515461764542469/62500000000000000000000000 32584798464450875538313257/125000000000000000000000000 0/1 0/1 72600471387007691675392621/125000000000000000000000000 32584798464450875538313257/125000000000000000000000000 -39488408375515461764542469/62500000000000000000000000
-113429286994946689807200823/200000000000000000000000000 -50125322538224113/200000000000000000000000000 -260678387628790337205893739/1000000000000000000000000000 260678387628790337205893739/1000000000000000000000000000 32584798464450875538313257/125000000000000000000000000 233997178656581779412292869/1000000000000000000000000000 130676619650203379/1000000000000000000000000000
167769990757508967/200000000000000000000000000 -113429286994946689807200823/200000000000000000000000000 -631814532735549586427677749/1000000000000000000000000000 631814532735549586427677749/1000000000000000000000000000 -39488408375515461764542469/62500000000000000000000000 130676619650203379/1000000000000000000000000000 1374610927154023490273161789/1000000000000000000000000000


--- 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 :
900705862508665393938083379/500000000000000000000000000 93157335851338237999634561/100000000000000000000000000 823494426337761306485936631/200000000000000000000000000 16220341087707828155610509/25000000000000000000000000 -5886477536522209642276626297/1000000000000000000000000000 27798798437140702399400137/31250000000000000000000000 -316125985629329208296495407/500000000000000000000000000 -152513190062440523470248571/125000000000000000000000000 -106811662687017176102972767/250000000000000000000000000 -265682615279809199046154549/250000000000000000000000000 33534014410464239777367067/500000000000000000000000000 990754813102220243636317113/1000000000000000000000000000
93157335851338237999634561/100000000000000000000000000 724990783575208113609138239/100000000000000000000000000 526342247146679015470593699/500000000000000000000000000 -22145341737604937106960123/10000000000000000000000000 -1289886970045640717920982801/500000000000000000000000000 -194085987099342100417809783/250000000000000000000000000 -515161738414354351009504763/500000000000000000000000000 -256075443404165553176997349/100000000000000000000000000 -391589235551692483119577379/250000000000000000000000000 25133490451198657840300333/100000000000000000000000000 -99744432674696628986368553/100000000000000000000000000 -48014544139319392502708149/62500000000000000000000000
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16220341087707828155610509/25000000000000000000000000 -22145341737604937106960123/10000000000000000000000000 1815130000515649240220266861/1000000000000000000000000000 83835113314079470155404877/62500000000000000000000000 -1887685751156255885562737239/1000000000000000000000000000 87553575265123136804690981/125000000000000000000000000 53848548412480573758634023/250000000000000000000000000 59379162903052376989851329/500000000000000000000000000 17651631387182623009113187/62500000000000000000000000 -386079785551147375894950327/500000000000000000000000000 75889725748415526395114239/250000000000000000000000000 959004580862471718591269453/1000000000000000000000000000
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990754813102220243636317113/1000000000000000000000000000 -48014544139319392502708149/62500000000000000000000000 602095885931881551650901837/250000000000000000000000000 959004580862471718591269453/1000000000000000000000000000 -748356802225162598390065081/250000000000000000000000000 653278040155308492101628353/1000000000000000000000000000 -2781613390492722617254429/40000000000000000000000000 -44351463120540137243317781/100000000000000000000000000 -4743176878645654742921779/125000000000000000000000000 -403713746902259599404168537/500000000000000000000000000 142979188157231840678822937/1000000000000000000000000000 884704025588517453629322487/1000000000000000000000000000


--- 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 :
41195652056085537324401409/5000000000000000000000000 22600142904632582646468639/50000000000000000000000000 58940673676381424129588679/25000000000000000000000000 34403643066812634603246593/25000000000000000000000000
22600142904632582646468639/50000000000000000000000000 121384173145841033950318419/1000000000000000000000000000 121218995434603481971527687/250000000000000000000000000 94880615424099828631744159/250000000000000000000000000
58940673676381424129588679/25000000000000000000000000 121218995434603481971527687/250000000000000000000000000 247919329968159202690216377/125000000000000000000000000 189112522670705143449085639/125000000000000000000000000
34403643066812634603246593/25000000000000000000000000 94880615424099828631744159/250000000000000000000000000 189112522670705143449085639/125000000000000000000000000 148354162048484804016547073/125000000000000000000000000


--- 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 :
23899824783513381029937309/1000000000000000000000000000 -4501967458371464183043519/500000000000000000000000000 4549833691005510689346747/500000000000000000000000000 268771565320483628774727/50000000000000000000000000 -1049613955803689324810643/200000000000000000000000000 -11955660952973283435942459/250000000000000000000000000
-4501967458371464183043519/500000000000000000000000000 848027597684177542445109/250000000000000000000000000 -857044076581031637184857/250000000000000000000000000 -50628021408887589305757/25000000000000000000000000 197713912787360161730001/100000000000000000000000000 2252066575431007081288809/125000000000000000000000000
4549833691005510689346747/500000000000000000000000000 -857044076581031637184857/250000000000000000000000000 16229433512906446636523349/1000000000000000000000000000 204665253734889911159289/100000000000000000000000000 -199816065377462293088427/100000000000000000000000000 -4552022410545147597403749/250000000000000000000000000
268771565320483628774727/50000000000000000000000000 -50628021408887589305757/25000000000000000000000000 204665253734889911159289/100000000000000000000000000 12090156305188387523949/10000000000000000000000000 -11803701007807623066519/10000000000000000000000000 -268900859138368863849129/25000000000000000000000000
-1049613955803689324810643/200000000000000000000000000 197713912787360161730001/100000000000000000000000000 -199816065377462293088427/100000000000000000000000000 -11803701007807623066519/10000000000000000000000000 230480655443515727917569/200000000000000000000000000 525059438751804114496377/50000000000000000000000000
-11955660952973283435942459/250000000000000000000000000 2252066575431007081288809/125000000000000000000000000 -4552022410545147597403749/250000000000000000000000000 -268900859138368863849129/25000000000000000000000000 525059438751804114496377/50000000000000000000000000 2990353069890530393034627/31250000000000000000000000


--- 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 :
14843613795874119332706029/500000000000000000000000000 -14843613795874119332706029/500000000000000000000000000 2061558584199019/250000000000000000000000000 2561124400673564720459101/250000000000000000000000000 -1280562067303686391471009/125000000000000000000000000 5122248245956116153594823/500000000000000000000000000 0/1 443324896902360504837093/25000000000000000000000000 -443324896902360504837093/25000000000000000000000000 3487952518210311/31250000000000000000000000
-14843613795874119332706029/500000000000000000000000000 14843613795874119332706029/500000000000000000000000000 -2061558584199019/250000000000000000000000000 -2561124400673564720459101/250000000000000000000000000 1280562067303686391471009/125000000000000000000000000 -5122248245956116153594823/500000000000000000000000000 0/1 -443324896902360504837093/25000000000000000000000000 443324896902360504837093/25000000000000000000000000 -3487952518210311/31250000000000000000000000
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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 :
2990353069890530393034627/31250000000000000000000000 525059438751804114496377/50000000000000000000000000 -4552022410545147597403749/250000000000000000000000000 -268900859138368863849129/25000000000000000000000000 2252066575431007081288809/125000000000000000000000000 -11955660952973283435942459/250000000000000000000000000
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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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