#Density : 659709598658734878908174857/4000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 8, 9, 11, 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 :
5696484417163035849272083/50000000000000000000000000 -3845800560116045977825059/50000000000000000000000000 12213919627625855680577213/100000000000000000000000000 -828138897998820021893919/5000000000000000000000000 6972137058466873459440847/50000000000000000000000000 8392699863573094877737421/100000000000000000000000000
-3845800560116045977825059/50000000000000000000000000 10853854774915213612416969/100000000000000000000000000 -1579030011950719355088417/12500000000000000000000000 7625855980126595086692759/100000000000000000000000000 -6016692246232434324616503/50000000000000000000000000 -6180121103267175013618983/100000000000000000000000000
12213919627625855680577213/100000000000000000000000000 -1579030011950719355088417/12500000000000000000000000 164927396541889132161802493/1000000000000000000000000000 -75004879086087360545043393/500000000000000000000000000 84893084464882976253200053/500000000000000000000000000 18791528792767008193798231/200000000000000000000000000
-828138897998820021893919/5000000000000000000000000 7625855980126595086692759/100000000000000000000000000 -75004879086087360545043393/500000000000000000000000000 131560780942372215020783991/500000000000000000000000000 -23283090771228499697592879/125000000000000000000000000 -593908572155126793467589/5000000000000000000000000
6972137058466873459440847/50000000000000000000000000 -6016692246232434324616503/50000000000000000000000000 84893084464882976253200053/500000000000000000000000000 -23283090771228499697592879/125000000000000000000000000 45697155917656074578413223/250000000000000000000000000 10509984013086136680509489/100000000000000000000000000
8392699863573094877737421/100000000000000000000000000 -6180121103267175013618983/100000000000000000000000000 18791528792767008193798231/200000000000000000000000000 -593908572155126793467589/5000000000000000000000000 10509984013086136680509489/100000000000000000000000000 12458424462536464647970027/200000000000000000000000000


--- 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 :
12458424462536464647970027/200000000000000000000000000 -593908572155126793467589/5000000000000000000000000 10509984013086136680509489/100000000000000000000000000 -6180121103267175013618983/100000000000000000000000000 18791528792767008193798231/200000000000000000000000000 8392699863573094877737421/100000000000000000000000000
-593908572155126793467589/5000000000000000000000000 131560780942372215020783991/500000000000000000000000000 -23283090771228499697592879/125000000000000000000000000 7625855980126595086692759/100000000000000000000000000 -75004879086087360545043393/500000000000000000000000000 -828138897998820021893919/5000000000000000000000000
10509984013086136680509489/100000000000000000000000000 -23283090771228499697592879/125000000000000000000000000 45697155917656074578413223/250000000000000000000000000 -6016692246232434324616503/50000000000000000000000000 84893084464882976253200053/500000000000000000000000000 6972137058466873459440847/50000000000000000000000000
-6180121103267175013618983/100000000000000000000000000 7625855980126595086692759/100000000000000000000000000 -6016692246232434324616503/50000000000000000000000000 10853854774915213612416969/100000000000000000000000000 -1579030011950719355088417/12500000000000000000000000 -3845800560116045977825059/50000000000000000000000000
18791528792767008193798231/200000000000000000000000000 -75004879086087360545043393/500000000000000000000000000 84893084464882976253200053/500000000000000000000000000 -1579030011950719355088417/12500000000000000000000000 164927396541889132161802493/1000000000000000000000000000 12213919627625855680577213/100000000000000000000000000
8392699863573094877737421/100000000000000000000000000 -828138897998820021893919/5000000000000000000000000 6972137058466873459440847/50000000000000000000000000 -3845800560116045977825059/50000000000000000000000000 12213919627625855680577213/100000000000000000000000000 5696484417163035849272083/50000000000000000000000000


--- 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 :
101222126817703393594690521/200000000000000000000000000 220559911507464355903628161/500000000000000000000000000 -4071218669277428241149969/25000000000000000000000000 391115213520151544433244353/500000000000000000000000000 -188831526707503902786542319/250000000000000000000000000 -31559508929140413642182063/200000000000000000000000000 -577723757082442171634811893/1000000000000000000000000000 664369577677867977841330151/500000000000000000000000000 -230746820287516813673071023/250000000000000000000000000 377212587311865107663730727/1000000000000000000000000000 -6825983332159472299715163/10000000000000000000000000 415771625073407735302890957/1000000000000000000000000000
220559911507464355903628161/500000000000000000000000000 1424979636466109487171347771/1000000000000000000000000000 118585114513027908922038759/250000000000000000000000000 515525468011456806442701169/500000000000000000000000000 -409480645287306312127493111/1000000000000000000000000000 -32073757353332173915030399/250000000000000000000000000 -1295036728880868024377987283/1000000000000000000000000000 55788544477947463595849561/62500000000000000000000000 -164433622851964228082676459/125000000000000000000000000 -43467462226028558111848333/200000000000000000000000000 -1391470819779023024083027/2500000000000000000000000 271907433530517871315613237/500000000000000000000000000
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415771625073407735302890957/1000000000000000000000000000 271907433530517871315613237/500000000000000000000000000 -25362958536006465103897/390625000000000000000000 530562182590364845240658529/100000000000000000000000000 53453295022046455358584137/250000000000000000000000000 2067564065169248334792806629/1000000000000000000000000000 -6441338090879800253811937549/1000000000000000000000000000 -300909987886140525225465133/100000000000000000000000000 107217204237585623164581261/250000000000000000000000000 -2933261653865924596923588361/1000000000000000000000000000 52909927347278025233456643/50000000000000000000000000 5883056897443354906799335941/1000000000000000000000000000


--- 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 :
921695744606051183474238049/1000000000000000000000000000 214285099345121953691194883/500000000000000000000000000 710911217894216506083606019/1000000000000000000000000000 327814649402447314720996141/500000000000000000000000000
214285099345121953691194883/500000000000000000000000000 2836204992204722447325619669/1000000000000000000000000000 -884139250455682295188033949/1000000000000000000000000000 -3748291977063146131432501837/1000000000000000000000000000
710911217894216506083606019/1000000000000000000000000000 -884139250455682295188033949/1000000000000000000000000000 553940720598208042806644429/500000000000000000000000000 2372770619540310516617855237/1000000000000000000000000000
327814649402447314720996141/500000000000000000000000000 -3748291977063146131432501837/1000000000000000000000000000 2372770619540310516617855237/1000000000000000000000000000 6696343135508259429248842501/1000000000000000000000000000


--- 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 :
1518533237439366483928280591/200000000000000000000000000 2526837952420755349535569257/1000000000000000000000000000 -7223470982744233378286711/200000000000000000000000000 1113556463358665303743604763/1000000000000000000000000000 -30255761463906844058015899/7812500000000000000000000 349565333424752106268874051/1000000000000000000000000000 -3776629187197042032069173407/1000000000000000000000000000 -1198714945852199315812714053/1000000000000000000000000000 -335548075361313931288502973/1000000000000000000000000000 -23874696338704304928445741/40000000000000000000000000
2526837952420755349535569257/1000000000000000000000000000 3117245737299869166978776677/1000000000000000000000000000 -39114470487439152813618453/200000000000000000000000000 480796387604830137061768233/1000000000000000000000000000 874258950484974150500100507/500000000000000000000000000 -926763979370516739395036847/1000000000000000000000000000 -1738722898253517668258754947/1000000000000000000000000000 -549852783879736945576787439/1000000000000000000000000000 -530554760344986886246147983/1000000000000000000000000000 -3776629187197042032069173407/1000000000000000000000000000
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-23874696338704304928445741/40000000000000000000000000 -3776629187197042032069173407/1000000000000000000000000000 -7223470982744233378286711/200000000000000000000000000 -335548075361313931288502973/1000000000000000000000000000 -30255761463906844058015899/7812500000000000000000000 349565333424752106268874051/1000000000000000000000000000 2526837952420755349535569257/1000000000000000000000000000 -1198714945852199315812714053/1000000000000000000000000000 1113556463358665303743604763/1000000000000000000000000000 1518533237439366483928280591/200000000000000000000000000


--- 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 :
231847260291461913653176769/250000000000000000000000000 824071527990891856935095873/500000000000000000000000000 525029694739921349164173/2500000000000000000000000 205001732319356848491871181/500000000000000000000000000 71418007124166059332288231/250000000000000000000000000 475508447416979800968777727/500000000000000000000000000
824071527990891856935095873/500000000000000000000000000 3163199112919020912267139751/1000000000000000000000000000 7030953498989321349960681/15625000000000000000000000 445405273072000660902192629/1000000000000000000000000000 475508447416979800968777727/500000000000000000000000000 2405879492335366663318978393/1000000000000000000000000000
525029694739921349164173/2500000000000000000000000 7030953498989321349960681/15625000000000000000000000 4544803015323636495496053/62500000000000000000000000 0/1 525029694739921349164173/2500000000000000000000000 7030953498989321349960681/15625000000000000000000000
205001732319356848491871181/500000000000000000000000000 445405273072000660902192629/1000000000000000000000000000 0/1 1845910058920583959310748277/1000000000000000000000000000 -205001732319356848491871181/500000000000000000000000000 -445405273072000660902192629/1000000000000000000000000000
71418007124166059332288231/250000000000000000000000000 475508447416979800968777727/500000000000000000000000000 525029694739921349164173/2500000000000000000000000 -205001732319356848491871181/500000000000000000000000000 231847260291461913653176769/250000000000000000000000000 824071527990891856935095873/500000000000000000000000000
475508447416979800968777727/500000000000000000000000000 2405879492335366663318978393/1000000000000000000000000000 7030953498989321349960681/15625000000000000000000000 -445405273072000660902192629/1000000000000000000000000000 824071527990891856935095873/500000000000000000000000000 3163199112919020912267139751/1000000000000000000000000000


--- 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 :
222451381869422013652838571/1000000000000000000000000000 180296001759605252915615529/1000000000000000000000000000 49674209860733838683602299/100000000000000000000000000 0/1 0/1 -49674209860733838683602299/100000000000000000000000000 0/1 -180296001759605252915615529/1000000000000000000000000000 -222451381869422013652838571/1000000000000000000000000000
180296001759605252915615529/1000000000000000000000000000 146129225978829120200040371/1000000000000000000000000000 40260758792296635840120601/100000000000000000000000000 0/1 0/1 -40260758792296635840120601/100000000000000000000000000 0/1 -146129225978829120200040371/1000000000000000000000000000 -180296001759605252915615529/1000000000000000000000000000
49674209860733838683602299/100000000000000000000000000 40260758792296635840120601/100000000000000000000000000 11092433342296136162790731/10000000000000000000000000 0/1 0/1 -11092433342296136162790731/10000000000000000000000000 0/1 -40260758792296635840120601/100000000000000000000000000 -49674209860733838683602299/100000000000000000000000000
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
-49674209860733838683602299/100000000000000000000000000 -40260758792296635840120601/100000000000000000000000000 -11092433342296136162790731/10000000000000000000000000 0/1 0/1 11092433342296136162790731/10000000000000000000000000 0/1 40260758792296635840120601/100000000000000000000000000 49674209860733838683602299/100000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-180296001759605252915615529/1000000000000000000000000000 -146129225978829120200040371/1000000000000000000000000000 -40260758792296635840120601/100000000000000000000000000 0/1 0/1 40260758792296635840120601/100000000000000000000000000 0/1 146129225978829120200040371/1000000000000000000000000000 180296001759605252915615529/1000000000000000000000000000
-222451381869422013652838571/1000000000000000000000000000 -180296001759605252915615529/1000000000000000000000000000 -49674209860733838683602299/100000000000000000000000000 0/1 0/1 49674209860733838683602299/100000000000000000000000000 0/1 180296001759605252915615529/1000000000000000000000000000 222451381869422013652838571/1000000000000000000000000000


--- 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 :
163073997523316492867157349/1000000000000000000000000000 99894908328795849/1000000000000000000000000000 -21357642493990029784842389/250000000000000000000000000 21357638983934881644260547/250000000000000000000000000 85430569573731783877574931/1000000000000000000000000000 -70504444694846286334189119/1000000000000000000000000000 -194505882029763279/1000000000000000000000000000
99894908328795849/1000000000000000000000000000 63001011206048229442690829/1000000000000000000000000000 21213826375934976061240977/500000000000000000000000000 -21213828612696058243850871/500000000000000000000000000 42427658201509013226891121/1000000000000000000000000000 123784779852312461/1000000000000000000000000000 -70504444694846286334189119/1000000000000000000000000000
-21357642493990029784842389/250000000000000000000000000 21213826375934976061240977/500000000000000000000000000 379017150211482534827051181/500000000000000000000000000 -19574371140751133571571631/100000000000000000000000000 -35143166287388082474640101/125000000000000000000000000 -21213828612696058243850871/500000000000000000000000000 21357638983934881644260547/250000000000000000000000000
21357638983934881644260547/250000000000000000000000000 -21213828612696058243850871/500000000000000000000000000 -19574371140751133571571631/100000000000000000000000000 379017150211482534827051181/500000000000000000000000000 -35143166287388082474640101/125000000000000000000000000 21213826375934976061240977/500000000000000000000000000 -21357642493990029784842389/250000000000000000000000000
85430569573731783877574931/1000000000000000000000000000 42427658201509013226891121/1000000000000000000000000000 -35143166287388082474640101/125000000000000000000000000 -35143166287388082474640101/125000000000000000000000000 30321374996208058991297699/40000000000000000000000000 42427658201509013226891121/1000000000000000000000000000 85430569573731783877574931/1000000000000000000000000000
-70504444694846286334189119/1000000000000000000000000000 123784779852312461/1000000000000000000000000000 -21213828612696058243850871/500000000000000000000000000 21213826375934976061240977/500000000000000000000000000 42427658201509013226891121/1000000000000000000000000000 63001011206048229442690829/1000000000000000000000000000 99894908328795849/1000000000000000000000000000
-194505882029763279/1000000000000000000000000000 -70504444694846286334189119/1000000000000000000000000000 21357638983934881644260547/250000000000000000000000000 -21357642493990029784842389/250000000000000000000000000 85430569573731783877574931/1000000000000000000000000000 99894908328795849/1000000000000000000000000000 163073997523316492867157349/1000000000000000000000000000


--- 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 :
5883056897443354906799335941/1000000000000000000000000000 2067564065169248334792806629/1000000000000000000000000000 -2933261653865924596923588361/1000000000000000000000000000 530562182590364845240658529/100000000000000000000000000 -300909987886140525225465133/100000000000000000000000000 271907433530517871315613237/500000000000000000000000000 52909927347278025233456643/50000000000000000000000000 53453295022046455358584137/250000000000000000000000000 107217204237585623164581261/250000000000000000000000000 -25362958536006465103897/390625000000000000000000 -6441338090879800253811937549/1000000000000000000000000000 415771625073407735302890957/1000000000000000000000000000
2067564065169248334792806629/1000000000000000000000000000 186207821135444668303827631/200000000000000000000000000 -1429785493896764864684019521/1000000000000000000000000000 801082049008851431623310881/500000000000000000000000000 -1024154022022953008042111183/500000000000000000000000000 -32073757353332173915030399/250000000000000000000000000 86299663849478954130153593/100000000000000000000000000 141587082511841840465209837/250000000000000000000000000 48972654034493496929427711/62500000000000000000000000 331292370864007142672367/4000000000000000000000000 -2158499622175529737837135911/1000000000000000000000000000 -31559508929140413642182063/200000000000000000000000000
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530562182590364845240658529/100000000000000000000000000 801082049008851431623310881/500000000000000000000000000 -574942624234354415645060237/250000000000000000000000000 6477745704208226164250519/1250000000000000000000000 -72158859724024177336287273/50000000000000000000000000 515525468011456806442701169/500000000000000000000000000 3142882811896227381421897/10000000000000000000000000 -202702241576667290278533601/500000000000000000000000000 -16969208086162807379730379/31250000000000000000000000 -5364025213411230337456731/250000000000000000000000000 -1509726656868254964975910843/250000000000000000000000000 391115213520151544433244353/500000000000000000000000000
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52909927347278025233456643/50000000000000000000000000 86299663849478954130153593/100000000000000000000000000 -30138588661829868612057247/20000000000000000000000000 3142882811896227381421897/10000000000000000000000000 -150276390960167593488855753/50000000000000000000000000 -1391470819779023024083027/2500000000000000000000000 140174337608048448828497089/100000000000000000000000000 127381155885283790249703823/100000000000000000000000000 79530360431897615815539629/50000000000000000000000000 27617529828826707614237793/100000000000000000000000000 -2412973507399948597273867/2500000000000000000000000 -6825983332159472299715163/10000000000000000000000000
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-25362958536006465103897/390625000000000000000000 331292370864007142672367/4000000000000000000000000 -373381178410588193475120459/500000000000000000000000000 -5364025213411230337456731/250000000000000000000000000 -163690973848717943544217107/250000000000000000000000000 118585114513027908922038759/250000000000000000000000000 27617529828826707614237793/100000000000000000000000000 46732966625758108788073621/100000000000000000000000000 -16233279046162205536419523/250000000000000000000000000 337252509868749631266860197/500000000000000000000000000 -18553350089065865973597513/62500000000000000000000000 -4071218669277428241149969/25000000000000000000000000
-6441338090879800253811937549/1000000000000000000000000000 -2158499622175529737837135911/1000000000000000000000000000 338404682644544997682662759/100000000000000000000000000 -1509726656868254964975910843/250000000000000000000000000 1497597939093204052028205503/500000000000000000000000000 -1295036728880868024377987283/1000000000000000000000000000 -2412973507399948597273867/2500000000000000000000000 -181380636708759919602414567/1000000000000000000000000000 25742897092551094132753477/250000000000000000000000000 -18553350089065865973597513/62500000000000000000000000 1859819595350575407194916203/250000000000000000000000000 -577723757082442171634811893/1000000000000000000000000000
415771625073407735302890957/1000000000000000000000000000 -31559508929140413642182063/200000000000000000000000000 377212587311865107663730727/1000000000000000000000000000 391115213520151544433244353/500000000000000000000000000 664369577677867977841330151/500000000000000000000000000 220559911507464355903628161/500000000000000000000000000 -6825983332159472299715163/10000000000000000000000000 -188831526707503902786542319/250000000000000000000000000 -230746820287516813673071023/250000000000000000000000000 -4071218669277428241149969/25000000000000000000000000 -577723757082442171634811893/1000000000000000000000000000 101222126817703393594690521/200000000000000000000000000


--- 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 :
6696343135508259429248842501/1000000000000000000000000000 -3748291977063146131432501837/1000000000000000000000000000 2372770619540310516617855237/1000000000000000000000000000 327814649402447314720996141/500000000000000000000000000
-3748291977063146131432501837/1000000000000000000000000000 2836204992204722447325619669/1000000000000000000000000000 -884139250455682295188033949/1000000000000000000000000000 214285099345121953691194883/500000000000000000000000000
2372770619540310516617855237/1000000000000000000000000000 -884139250455682295188033949/1000000000000000000000000000 553940720598208042806644429/500000000000000000000000000 710911217894216506083606019/1000000000000000000000000000
327814649402447314720996141/500000000000000000000000000 214285099345121953691194883/500000000000000000000000000 710911217894216506083606019/1000000000000000000000000000 921695744606051183474238049/1000000000000000000000000000


--- 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 :
28164386335662533524821771/250000000000000000000000000 14929663672516469890630239/250000000000000000000000000 -51391019160378169751704449/250000000000000000000000000 -25205612677374546653924667/250000000000000000000000000 5760746299728415920264543/125000000000000000000000000 980618626023489905188569/10000000000000000000000000
14929663672516469890630239/250000000000000000000000000 31717691690598703851666129/1000000000000000000000000000 -27531405039041576938745991/250000000000000000000000000 -13496564417538768015301803/250000000000000000000000000 6169028674094859257613999/250000000000000000000000000 1060235878302238628615499/20000000000000000000000000
-51391019160378169751704449/250000000000000000000000000 -27531405039041576938745991/250000000000000000000000000 99231485407511174910559731/250000000000000000000000000 48543679505471816705004273/250000000000000000000000000 -11092263551066918359853217/125000000000000000000000000 -1983559155695297960157231/10000000000000000000000000
-25205612677374546653924667/250000000000000000000000000 -13496564417538768015301803/250000000000000000000000000 48543679505471816705004273/250000000000000000000000000 23750143506692606335174059/250000000000000000000000000 -5426976385722452059591911/125000000000000000000000000 -968383584526777648301121/10000000000000000000000000
5760746299728415920264543/125000000000000000000000000 6169028674094859257613999/250000000000000000000000000 -11092263551066918359853217/125000000000000000000000000 -5426976385722452059591911/125000000000000000000000000 19376262207271900924371/976562500000000000000000 110619384258331415136789/2500000000000000000000000
980618626023489905188569/10000000000000000000000000 1060235878302238628615499/20000000000000000000000000 -1983559155695297960157231/10000000000000000000000000 -968383584526777648301121/10000000000000000000000000 110619384258331415136789/2500000000000000000000000 16036761689053274396199/156250000000000000000000


--- 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 :
235599069474932487689702821/200000000000000000000000000 -235599069474932487689702821/200000000000000000000000000 -82753646567187499/25000000000000000000000000 -114148305547131110117240221/200000000000000000000000000 114148305547131110117240221/200000000000000000000000000 -7134269137148744290594833/12500000000000000000000000 0/1 -56269706969518969799845591/100000000000000000000000000 56269706969518969799845591/100000000000000000000000000 242086719232914873/200000000000000000000000000
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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 :
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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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