#Density : 992068189306932525816908573/6000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 12, 15}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
1117203753412402531281/31250000000000000000000 1562565477710905321941/156250000000000000000000 -15218210548728977544783/500000000000000000000000 -109760410801104934960971/2500000000000000000000000 5955615702483078793959/100000000000000000000000 -48052538335347308215803/625000000000000000000000
1562565477710905321941/156250000000000000000000 2185466048315913620201/781250000000000000000000 -21284792826149708585163/2500000000000000000000000 -153515263633261050895031/12500000000000000000000000 8329760320611657269699/500000000000000000000000 -67208185874646566713383/3125000000000000000000000
-15218210548728977544783/500000000000000000000000 -21284792826149708585163/2500000000000000000000000 207297846608608529402769/8000000000000000000000000 1495123012596618632274453/40000000000000000000000000 -81125590055413581228537/1600000000000000000000000 654557097176386754230629/10000000000000000000000000
-109760410801104934960971/2500000000000000000000000 -153515263633261050895031/12500000000000000000000000 1495123012596618632274453/40000000000000000000000000 10783483086616678371918761/200000000000000000000000000 -585113345780849387811869/8000000000000000000000000 4720952943107979960585273/50000000000000000000000000
5955615702483078793959/100000000000000000000000 8329760320611657269699/500000000000000000000000 -81125590055413581228537/1600000000000000000000000 -585113345780849387811869/8000000000000000000000000 31748334435258491850401/320000000000000000000000 -256159586807728590478317/2000000000000000000000000
-48052538335347308215803/625000000000000000000000 -67208185874646566713383/3125000000000000000000000 654557097176386754230629/10000000000000000000000000 4720952943107979960585273/50000000000000000000000000 -256159586807728590478317/2000000000000000000000000 2066808702904227993746889/12500000000000000000000000


--- 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 :
1077319750340773819771794623/500000000000000000000000000 25868869960696879911181643/50000000000000000000000000 41383523193303579373594499/125000000000000000000000000 949330365682880122651837221/500000000000000000000000000 -119666841361952580997875207/125000000000000000000000000 -28450640622211012374252287/10000000000000000000000000 -1379583825136113813705646679/500000000000000000000000000 -812605379393656669917485839/500000000000000000000000000 -58066482066285470453514101/125000000000000000000000000 24493346838109941941959627/31250000000000000000000000 -98637525289873203357314419/125000000000000000000000000 -1265834541974574625687015789/500000000000000000000000000
25868869960696879911181643/50000000000000000000000000 96462125609413467044926247/50000000000000000000000000 482117353579301710642709873/1000000000000000000000000000 -979210694782158975132052841/1000000000000000000000000000 -561669825027176823752800297/1000000000000000000000000000 -292450974910487969048040051/250000000000000000000000000 83250811551139572050623313/200000000000000000000000000 -568831014575733950361059611/1000000000000000000000000000 -5637406444700053380356807/500000000000000000000000000 -46420459365593004827517293/200000000000000000000000000 -14829876827478913299829167/25000000000000000000000000 -640450327040690222658691077/1000000000000000000000000000
41383523193303579373594499/125000000000000000000000000 482117353579301710642709873/1000000000000000000000000000 22486992932391878259697121/100000000000000000000000000 -262078859886218023670135121/500000000000000000000000000 -183517017662153150194132317/500000000000000000000000000 -44536618656089306217649/1600000000000000000000000 259793340980823019256471347/1000000000000000000000000000 -331638069520525464897903603/1000000000000000000000000000 -13898801517662654980242977/500000000000000000000000000 65587721045924411000259807/1000000000000000000000000000 -590639935968830283865411657/1000000000000000000000000000 -966920595044139027894391/5000000000000000000000000
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-1265834541974574625687015789/500000000000000000000000000 -640450327040690222658691077/1000000000000000000000000000 -966920595044139027894391/5000000000000000000000000 -1674573723211826207967836251/500000000000000000000000000 803362666410739591564313261/1000000000000000000000000000 473671410812341905801083279/100000000000000000000000000 4242643367641384448446044557/1000000000000000000000000000 1779982494797934490213082727/1000000000000000000000000000 130609827341621141160830039/250000000000000000000000000 -793618541707498586177759213/1000000000000000000000000000 -29479016842090348741966091/500000000000000000000000000 27814479557536363225245657/8000000000000000000000000


--- 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 :
229018657028506289021592259/250000000000000000000000000 75917309534036842960720757/100000000000000000000000000 -3242484460597202255946887/7812500000000000000000000 5824205485795738740994041/62500000000000000000000000
75917309534036842960720757/100000000000000000000000000 629145018321517987342608407/1000000000000000000000000000 -1719759948757348480409759/5000000000000000000000000 9653318580856378599803247/125000000000000000000000000
-3242484460597202255946887/7812500000000000000000000 -1719759948757348480409759/5000000000000000000000000 70935883400416677215091101/62500000000000000000000000 -61604201812544744239749/15625000000000000000000000
5824205485795738740994041/62500000000000000000000000 9653318580856378599803247/125000000000000000000000000 -61604201812544744239749/15625000000000000000000000 24987158181378888793010071/15625000000000000000000000


--- 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 :
2497096590617812852765409743/1000000000000000000000000000 -1084548439961438463729322623/500000000000000000000000000 -188035622763574969055915879/1000000000000000000000000000 267027195889715202692637301/250000000000000000000000000 -7969973544428752617196941/62500000000000000000000000 25972910744504273469661739/40000000000000000000000000 -668269426055971722845556407/1000000000000000000000000000 -365221415025899319451071631/500000000000000000000000000 948342422837189499167169033/1000000000000000000000000000 20427133543988579563136769/125000000000000000000000000
-1084548439961438463729322623/500000000000000000000000000 2083757109716529075415719881/500000000000000000000000000 313005657691485564803439601/500000000000000000000000000 -685277339685776969446122787/500000000000000000000000000 122415320791513928101446859/100000000000000000000000000 -95663038772801465506990387/100000000000000000000000000 -425868525840692583275564531/500000000000000000000000000 -346901711289996703635429303/250000000000000000000000000 -168145752056253655386002433/100000000000000000000000000 -191697640660301725898231/156250000000000000000000
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267027195889715202692637301/250000000000000000000000000 -685277339685776969446122787/500000000000000000000000000 -21297619554919930513330627/125000000000000000000000000 73265401541219159307530043/100000000000000000000000000 -176204182544802824422214047/500000000000000000000000000 17657015013357573023928789/50000000000000000000000000 -7073240140135103879023937/125000000000000000000000000 9993502530493706892836759/125000000000000000000000000 149655403857413279233319651/250000000000000000000000000 22758294013781462203985453/125000000000000000000000000
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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 :
40711112153400286023014527/40000000000000000000000000 -983851662449347947273817417/1000000000000000000000000000 303027263050989241235754311/1000000000000000000000000000 -1507680806896293781672982329/1000000000000000000000000000 -30908752790725269631930369/200000000000000000000000000 1395532956122395242192212463/1000000000000000000000000000
-983851662449347947273817417/1000000000000000000000000000 1314976790414437200581229447/1000000000000000000000000000 -279278600785392313064083781/1000000000000000000000000000 1466847105788169169393385541/1000000000000000000000000000 132195390762187570997898849/1000000000000000000000000000 -264694310921415242313752139/200000000000000000000000000
303027263050989241235754311/1000000000000000000000000000 -279278600785392313064083781/1000000000000000000000000000 1158884744392318916126939803/1000000000000000000000000000 -443882533743946980852671813/1000000000000000000000000000 -55148499000806109088670437/1000000000000000000000000000 85813466729269665039996411/200000000000000000000000000
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-30908752790725269631930369/200000000000000000000000000 132195390762187570997898849/1000000000000000000000000000 -55148499000806109088670437/1000000000000000000000000000 4399528030730810567819539/31250000000000000000000000 18434161986938932437860569/100000000000000000000000000 -112714755774171959970373089/250000000000000000000000000
1395532956122395242192212463/1000000000000000000000000000 -264694310921415242313752139/200000000000000000000000000 85813466729269665039996411/200000000000000000000000000 -968168310722420025409271769/500000000000000000000000000 -112714755774171959970373089/250000000000000000000000000 1134213048423991804055882949/500000000000000000000000000


--- 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 :
145730184044062068070679831/250000000000000000000000000 45265900336157624089804329/125000000000000000000000000 -124788667908647756759994301/500000000000000000000000000 -25851644658674827180845637/125000000000000000000000000 -541898603359939101140996209/500000000000000000000000000 -52781770491380891475529373/125000000000000000000000000 26342850999645144247012023/62500000000000000000000000 8970707629632147469737781/15625000000000000000000000 -301932814970545918851547943/500000000000000000000000000
45265900336157624089804329/125000000000000000000000000 14060299901627944626024087/62500000000000000000000000 -38760753814279497461987331/250000000000000000000000000 -1605990795514408617146751/12500000000000000000000000 -33664485125414574053663043/50000000000000000000000000 -16394725072281616334482467/62500000000000000000000000 8182598938992430258339593/31250000000000000000000000 2783243063385516895232811/7812500000000000000000000 -18757247869852479211488261/50000000000000000000000000
-124788667908647756759994301/500000000000000000000000000 -38760753814279497461987331/250000000000000000000000000 21371875613715012053795651/200000000000000000000000000 22136321792699645256755511/250000000000000000000000000 464021087293345632324611787/1000000000000000000000000000 45197392430065612973985203/250000000000000000000000000 -902257924704611871035619/5000000000000000000000000 -3081740252705395056051017/12500000000000000000000000 258533863918631401827171149/1000000000000000000000000000
-25851644658674827180845637/125000000000000000000000000 -1605990795514408617146751/12500000000000000000000000 22136321792699645256755511/250000000000000000000000000 4585986022589371161362383/62500000000000000000000000 96130430513496803062231891/250000000000000000000000000 9363106171941108525251991/62500000000000000000000000 -4673195027626719098886213/31250000000000000000000000 -1588030281023899893661991/7812500000000000000000000 53562645917351612026160757/250000000000000000000000000
-541898603359939101140996209/500000000000000000000000000 -33664485125414574053663043/50000000000000000000000000 464021087293345632324611787/1000000000000000000000000000 96130430513496803062231891/250000000000000000000000000 2015067205705762511858199607/1000000000000000000000000000 196268485125556967646407487/250000000000000000000000000 -97958059306981348757760471/125000000000000000000000000 -66616178146561274569608769/62500000000000000000000000 1122763080146774706595316289/1000000000000000000000000000
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26342850999645144247012023/62500000000000000000000000 8182598938992430258339593/31250000000000000000000000 -902257924704611871035619/5000000000000000000000000 -4673195027626719098886213/31250000000000000000000000 -97958059306981348757760471/125000000000000000000000000 -19081897333057054753941663/62500000000000000000000000 3809714516900720153698959/12500000000000000000000000 1033230318113622725481903/2500000000000000000000000 -54582221348226066105809667/125000000000000000000000000
8970707629632147469737781/15625000000000000000000000 2783243063385516895232811/7812500000000000000000000 -3081740252705395056051017/12500000000000000000000000 -1588030281023899893661991/7812500000000000000000000 -66616178146561274569608769/62500000000000000000000000 -26017279441338228003183269/62500000000000000000000000 1033230318113622725481903/2500000000000000000000000 9336685699487293342332499/12500000000000000000000000 -4625042059434142004436211/7812500000000000000000000
-301932814970545918851547943/500000000000000000000000000 -18757247869852479211488261/50000000000000000000000000 258533863918631401827171149/1000000000000000000000000000 53562645917351612026160757/250000000000000000000000000 1122763080146774706595316289/1000000000000000000000000000 109355048740335997564402549/250000000000000000000000000 -54582221348226066105809667/125000000000000000000000000 -4625042059434142004436211/7812500000000000000000000 625604729308551029475546103/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 782141082951636230093909341/100000000000000000000000000 585507500259798638686802173/500000000000000000000000000 -117101500363774248326942477/100000000000000000000000000 117101500363774248326942477/100000000000000000000000000 0/1 340518804489467922718152691/500000000000000000000000000
0/1 585507500259798638686802173/500000000000000000000000000 3056855567803002523275675497/1000000000000000000000000000 896063954954823550864598373/1000000000000000000000000000 -896063954954823550864598373/1000000000000000000000000000 0/1 -267985699291258689776826539/1000000000000000000000000000
0/1 -117101500363774248326942477/100000000000000000000000000 896063954954823550864598373/1000000000000000000000000000 3056855564283547172737297253/1000000000000000000000000000 -3056855564283547172737297253/1000000000000000000000000000 0/1 267985698440633722228402247/1000000000000000000000000000
0/1 117101500363774248326942477/100000000000000000000000000 -896063954954823550864598373/1000000000000000000000000000 -3056855564283547172737297253/1000000000000000000000000000 3056855564283547172737297253/1000000000000000000000000000 0/1 -267985698440633722228402247/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 340518804489467922718152691/500000000000000000000000000 -267985699291258689776826539/1000000000000000000000000000 267985698440633722228402247/1000000000000000000000000000 -267985698440633722228402247/1000000000000000000000000000 0/1 14070485063189449272301753/62500000000000000000000000


--- 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 :
4709869863271107311402279/7812500000000000000000000 5799738005367495401008363/31250000000000000000000000 13663790062467548058313993/125000000000000000000000000 44746893646457596022078339/500000000000000000000000000 91900135516229574478263459/500000000000000000000000000 -63446470115289437427834539/500000000000000000000000000 3492251380383191569003931/125000000000000000000000000 -6285348190375132442648883/250000000000000000000000000 -27301602562437050134998811/500000000000000000000000000 -34149807093055420937305093/125000000000000000000000000 -84536546744564648150853061/250000000000000000000000000 -43189108916855695575838301/125000000000000000000000000
5799738005367495401008363/31250000000000000000000000 38133139054589705610873659/125000000000000000000000000 1498826868908582684374327/3906250000000000000000000 9115403923568553253335983/62500000000000000000000000 2347214362394331786551991/7812500000000000000000000 -23551942909522017229001689/125000000000000000000000000 3178029471559652604611311/125000000000000000000000000 -700279926728467443056499/25000000000000000000000000 -19298731320282937595344027/250000000000000000000000000 -122309375683319974948198261/250000000000000000000000000 -33657716400339200677600763/62500000000000000000000000 -138804305624301768564738713/250000000000000000000000000
13663790062467548058313993/125000000000000000000000000 1498826868908582684374327/3906250000000000000000000 44496667297696717621847731/50000000000000000000000000 9068779619609197081281763/50000000000000000000000000 93783733544529686421843719/250000000000000000000000000 -25487307773331864589465353/125000000000000000000000000 -206902026941172554834681/125000000000000000000000000 -3346350563089876732102089/250000000000000000000000000 -38243681011330959227603543/500000000000000000000000000 -340625894661325572185129871/500000000000000000000000000 -81118316827491635472316381/125000000000000000000000000 -338732894240385384154185649/500000000000000000000000000
44746893646457596022078339/500000000000000000000000000 9115403923568553253335983/62500000000000000000000000 9068779619609197081281763/50000000000000000000000000 13995091322029564809268131/200000000000000000000000000 143968419277814331702683659/1000000000000000000000000000 -94063804889033497082229981/1000000000000000000000000000 8103291741289363203627943/500000000000000000000000000 -8011714672822236958255623/500000000000000000000000000 -19693949539221690941370809/500000000000000000000000000 -225956494910060180245173289/1000000000000000000000000000 -26087884806681815744039821/100000000000000000000000000 -53590727316014616824333867/200000000000000000000000000
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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 :
2352433006904067127594401451/1000000000000000000000000000 261953637893201697070913761/1000000000000000000000000000 2433024306543792888448731511/1000000000000000000000000000 20380967637335264688449389/250000000000000000000000000
261953637893201697070913761/1000000000000000000000000000 13595234490272933044971169/200000000000000000000000000 522070718415917075215099649/1000000000000000000000000000 50972137930118553059195251/500000000000000000000000000
2433024306543792888448731511/1000000000000000000000000000 522070718415917075215099649/1000000000000000000000000000 5036389083901589427471606227/1000000000000000000000000000 187110588604799049176971/7812500000000000000000000
20380967637335264688449389/250000000000000000000000000 50972137930118553059195251/500000000000000000000000000 187110588604799049176971/7812500000000000000000000 14278912808203323915117721/20000000000000000000000000


--- Term 16 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

Flags :
F1  : {0, 1, 2, 3}
F2  : {0, 1, 2, 3, 4}
F3  : {0, 1, 2, 3, 5}
F4  : {0, 1, 2, 3, 4, 5}
F5  : {0, 1, 2, 3, 6}
F6  : {0, 1, 2, 3, 4, 6}
F7  : {0, 1, 2, 3, 5, 6}
F8  : {0, 1, 2, 3, 4, 5, 6}
F9  : {0, 1, 2, 3, 7}
F10 : {0, 1, 2, 3, 4, 7}
F11 : {0, 1, 2, 3, 5, 7}
F12 : {0, 1, 2, 3, 4, 5, 7}
F13 : {0, 1, 2, 3, 6, 7}
F14 : {0, 1, 2, 3, 4, 6, 7}
F15 : {0, 1, 2, 3, 5, 6, 7}
F16 : {0, 1, 2, 3, 4, 5, 6, 7}

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

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 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 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 :
887275956006387081170343/1000000000000000000000000000 -887275956006387081170343/1000000000000000000000000000 -2662972935074487/200000000000000000000000000 4610915257051634492601/200000000000000000000000000 -4610915257051634492601/200000000000000000000000000 23054573489068786645143/1000000000000000000000000000 0/1 -2686832499248594330107401/250000000000000000000000000 2686832499248594330107401/250000000000000000000000000 341140976574723/50000000000000000000000000
-887275956006387081170343/1000000000000000000000000000 887275956006387081170343/1000000000000000000000000000 2662972935074487/200000000000000000000000000 -4610915257051634492601/200000000000000000000000000 4610915257051634492601/200000000000000000000000000 -23054573489068786645143/1000000000000000000000000000 0/1 2686832499248594330107401/250000000000000000000000000 -2686832499248594330107401/250000000000000000000000000 -341140976574723/50000000000000000000000000
-2662972935074487/200000000000000000000000000 2662972935074487/200000000000000000000000000 177455191394025307052781/200000000000000000000000000 4610915522726523590217/200000000000000000000000000 -4610915522726523590217/200000000000000000000000000 -4610916654045189325893/200000000000000000000000000 0/1 3928255475058969/25000000000000000000000000 -3928255475058969/25000000000000000000000000 -134341625001122479802589/12500000000000000000000000
4610915257051634492601/200000000000000000000000000 -4610915257051634492601/200000000000000000000000000 4610915522726523590217/200000000000000000000000000 239615881578806920269/200000000000000000000000000 -239615881578806920269/200000000000000000000000000 -57602876760441/200000000000000000000000000 0/1 -218166993397829341011/781250000000000000000000 218166993397829341011/781250000000000000000000 -6981344283052164820821/25000000000000000000000000
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23054573489068786645143/1000000000000000000000000000 -23054573489068786645143/1000000000000000000000000000 -4610916654045189325893/200000000000000000000000000 -57602876760441/200000000000000000000000000 57602876760441/200000000000000000000000000 1198079520583129625673/1000000000000000000000000000 0/1 -4363339335377057998731/15625000000000000000000000 4363339335377057998731/15625000000000000000000000 6981345795304857845817/25000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-2686832499248594330107401/250000000000000000000000000 2686832499248594330107401/250000000000000000000000000 3928255475058969/25000000000000000000000000 -218166993397829341011/781250000000000000000000 218166993397829341011/781250000000000000000000 -4363339335377057998731/15625000000000000000000000 0/1 16272432111225790908663999/125000000000000000000000000 -16272432111225790908663999/125000000000000000000000000 -161931341501319/5000000000000000000000000
2686832499248594330107401/250000000000000000000000000 -2686832499248594330107401/250000000000000000000000000 -3928255475058969/25000000000000000000000000 218166993397829341011/781250000000000000000000 -218166993397829341011/781250000000000000000000 4363339335377057998731/15625000000000000000000000 0/1 -16272432111225790908663999/125000000000000000000000000 16272432111225790908663999/125000000000000000000000000 161931341501319/5000000000000000000000000
341140976574723/50000000000000000000000000 -341140976574723/50000000000000000000000000 -134341625001122479802589/12500000000000000000000000 -6981344283052164820821/25000000000000000000000000 6981344283052164820821/25000000000000000000000000 6981345795304857845817/25000000000000000000000000 0/1 -161931341501319/5000000000000000000000000 161931341501319/5000000000000000000000000 3254486420584907188200507/25000000000000000000000000


--- 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 :
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-74456028528172278738797739/250000000000000000000000000 5804854163956032233322263/125000000000000000000000000 1546803551369155736148019/10000000000000000000000000 1610299014385470562749167/10000000000000000000000000 -1891794778492830348602091/12500000000000000000000000 33528140380496722879705171/62500000000000000000000000


--- 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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