#Density : 1097075116727981680246254617/6400000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 10, 11, 12, 13}
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 :
2001515109367593355563/78125000000000000000000 60970404099797685138537/6250000000000000000000000 -384661066974024597015519/6250000000000000000000000 492976364324763634129653/6250000000000000000000000 -371933453551292132645313/3125000000000000000000000 29701280892222519826137/3125000000000000000000000
60970404099797685138537/6250000000000000000000000 1857288090754002702237363/500000000000000000000000000 -11717593629495959838647781/500000000000000000000000000 15017107791920114314227447/500000000000000000000000000 -11329883474334953848673787/250000000000000000000000000 904764140827588068869763/250000000000000000000000000
-384661066974024597015519/6250000000000000000000000 -11717593629495959838647781/500000000000000000000000000 73926065185861310517793347/500000000000000000000000000 -94742634420608958490954689/500000000000000000000000000 71480009527171784679682269/250000000000000000000000000 -5708138971834885998226581/250000000000000000000000000
492976364324763634129653/6250000000000000000000000 15017107791920114314227447/500000000000000000000000000 -94742634420608958490954689/500000000000000000000000000 121420864946480193645022443/500000000000000000000000000 -91607802931051930124511903/250000000000000000000000000 7315472864285687690983047/250000000000000000000000000
-371933453551292132645313/3125000000000000000000000 -11329883474334953848673787/250000000000000000000000000 71480009527171784679682269/250000000000000000000000000 -91607802931051930124511903/250000000000000000000000000 69114888627695594621122563/125000000000000000000000000 -5519268840609325910061387/125000000000000000000000000
29701280892222519826137/3125000000000000000000000 904764140827588068869763/250000000000000000000000000 -5708138971834885998226581/250000000000000000000000000 7315472864285687690983047/250000000000000000000000000 -5519268840609325910061387/125000000000000000000000000 440749151735074963022163/125000000000000000000000000


--- 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 :
1201211269920418168662033/62500000000000000000000000 -29256712817056785257253/3125000000000000000000000 974896391286544961175039/31250000000000000000000000 -426550918816530378697911/6250000000000000000000000 1625993138958818572226193/31250000000000000000000000 -769414408902892331993169/31250000000000000000000000
-29256712817056785257253/3125000000000000000000000 712576768378507587273/156250000000000000000000 -23744585536685069920299/1562500000000000000000000 10389078129856136355651/312500000000000000000000 -39602703954129998715813/1562500000000000000000000 18739864470359800342629/1562500000000000000000000
974896391286544961175039/31250000000000000000000000 -23744585536685069920299/1562500000000000000000000 791220493466145180241137/15625000000000000000000000 -346186355279322027958713/3125000000000000000000000 1319646995596914262376319/15625000000000000000000000 -624452458469686931988927/15625000000000000000000000
-426550918816530378697911/6250000000000000000000000 10389078129856136355651/312500000000000000000000 -346186355279322027958713/3125000000000000000000000 151468514240030757983937/625000000000000000000000 -577391242306782779480631/3125000000000000000000000 273219567020836933410423/3125000000000000000000000
1625993138958818572226193/31250000000000000000000000 -39602703954129998715813/1562500000000000000000000 1319646995596914262376319/15625000000000000000000000 -577391242306782779480631/3125000000000000000000000 2200989746055505021793553/15625000000000000000000000 -1041500842707746497892049/15625000000000000000000000
-769414408902892331993169/31250000000000000000000000 18739864470359800342629/1562500000000000000000000 -624452458469686931988927/15625000000000000000000000 273219567020836933410423/3125000000000000000000000 -1041500842707746497892049/15625000000000000000000000 492834647369407287376017/15625000000000000000000000


--- 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 :
589419520784086072020219777/1000000000000000000000000000 621485341771365587360513521/1000000000000000000000000000 -245498503320062387737412397/1000000000000000000000000000 -3564782666735225906565389/7812500000000000000000000 -426429348784885417976717371/1000000000000000000000000000 224190037754925861645292539/1000000000000000000000000000 171208784010829728127707699/250000000000000000000000000 -363802104449622877650071069/250000000000000000000000000 900614826458721067487229979/1000000000000000000000000000 18719359403075273201554887/100000000000000000000000000 -739334297070100135215519783/1000000000000000000000000000 103838525333458195173109627/1000000000000000000000000000
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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 :
200018167181394417701178589/500000000000000000000000000 45245309444669884207528249/250000000000000000000000000 1046697040188611134610747/100000000000000000000000000 -156483546165339182797486779/500000000000000000000000000
45245309444669884207528249/250000000000000000000000000 81878083599772431238329617/1000000000000000000000000000 473538300500525808679711/100000000000000000000000000 -2212344814097933416014399/15625000000000000000000000
1046697040188611134610747/100000000000000000000000000 473538300500525808679711/100000000000000000000000000 27386879636439119047067/100000000000000000000000000 -1310207771609977514913/160000000000000000000000
-156483546165339182797486779/500000000000000000000000000 -2212344814097933416014399/15625000000000000000000000 -1310207771609977514913/160000000000000000000000 739574891324727315536066229/500000000000000000000000000


--- 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 :
83406776008296356829331299/100000000000000000000000000 359699272044692864593062999/500000000000000000000000000 -14932137316903363803694873/62500000000000000000000000 -66231966326881727514875663/250000000000000000000000000 -94182918268736451447843753/250000000000000000000000000 17147222085337714762645877/31250000000000000000000000 -44988523856531426401174343/62500000000000000000000000 -1030081418381708141044179/10000000000000000000000000 -104792936037590266776880539/500000000000000000000000000 87899446834740817043028033/125000000000000000000000000
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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 :
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--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

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

Basis :
B1 : (F1)
B2 : (F2)+(F9)
B3 : (F3)+(F5)
B4 : (F4)+(F6)+(F11)+(F13)
B5 : (F7)
B6 : (F8)+(F15)
B7 : (F10)
B8 : (F12)+(F14)
B9 : (F16)

Matrix :
2041144828331019395802363/10000000000000000000000000 -20490846738726500223341709/50000000000000000000000000 8545689848057971347382371/12500000000000000000000000 -60543343404270754935999/400000000000000000000000 -4101092936389666216635909/6250000000000000000000000 38315291878747869958541751/50000000000000000000000000 -131379559743236610277017/1250000000000000000000000 -2346545741807211534703113/6250000000000000000000000 7994450543499856751256669/50000000000000000000000000
-20490846738726500223341709/50000000000000000000000000 205705540460495891079087787/250000000000000000000000000 -85789317113978408730663653/62500000000000000000000000 607788508452576194025257/2000000000000000000000000 41170457703164147249078387/31250000000000000000000000 -384643344626827402780442993/250000000000000000000000000 1318906128528494491997631/6250000000000000000000000 23556735658046661793098959/31250000000000000000000000 -80255481420752087833023067/250000000000000000000000000
8545689848057971347382371/12500000000000000000000000 -85789317113978408730663653/62500000000000000000000000 35778360244488120282797707/15625000000000000000000000 -253477669940948503992583/500000000000000000000000 -17170103652617338384145053/7812500000000000000000000 160415173038614570418479167/62500000000000000000000000 -550048656203451949939089/1562500000000000000000000 -9824316160927268608245121/7812500000000000000000000 33470478871531050223441973/62500000000000000000000000
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--- Term 13 ---

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

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

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

Matrix :
3815466912856135369898077/7812500000000000000000000 75410491789998999/200000000000000000000000000 -40162951518597791538381/320000000000000000000000 12550922338027136204008621/100000000000000000000000000 62754611612929645464837487/500000000000000000000000000 152209717103406141054063331/500000000000000000000000000 -196408277763588191/1000000000000000000000000000
75410491789998999/200000000000000000000000000 16253125179679998445259847/1000000000000000000000000000 3361345772196280395580647/125000000000000000000000000 -26890764221383242941284017/1000000000000000000000000000 26890764444017407282359273/1000000000000000000000000000 228151762082185587/1000000000000000000000000000 17730916662354222855719853/500000000000000000000000000
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--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

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

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
10092475131424931897470664793/1000000000000000000000000000 -322674175839532189308744901/500000000000000000000000000 448873115163914930750985509/125000000000000000000000000 -1468040715770021912768273309/250000000000000000000000000 -1027491838004076965047985821/100000000000000000000000000 746415904909878452837854951/250000000000000000000000000 -4937578205506365347587933147/1000000000000000000000000000 22799454857619255945847573/40000000000000000000000000 198852605007358366946818823/1000000000000000000000000000 145601445124754390943384641/100000000000000000000000000 -121700446276794730250665183/100000000000000000000000000 -68749436675153848545703953/250000000000000000000000000
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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 :
567135447842545146164040749/250000000000000000000000000 139212006494392090434461821/500000000000000000000000000 42221289353608443446551221/125000000000000000000000000 4506866616902230257988693/15625000000000000000000000
139212006494392090434461821/500000000000000000000000000 840285179875976845838869447/500000000000000000000000000 1019392642250200792180025523/500000000000000000000000000 1741023722972809792459563739/1000000000000000000000000000
42221289353608443446551221/125000000000000000000000000 1019392642250200792180025523/500000000000000000000000000 618338502189948441097576901/250000000000000000000000000 1056062165373121601703307763/500000000000000000000000000
4506866616902230257988693/15625000000000000000000000 1741023722972809792459563739/1000000000000000000000000000 1056062165373121601703307763/500000000000000000000000000 1803651710483274431296142809/1000000000000000000000000000


--- 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 :
472712206223893452703444949/500000000000000000000000000 -268642988321602327437682611/500000000000000000000000000 -26074304734778685836558161/500000000000000000000000000 -566687512274437873024968597/500000000000000000000000000 191781298594547235633884341/500000000000000000000000000 90070965348864333662814199/500000000000000000000000000
-268642988321602327437682611/500000000000000000000000000 153208606131293507543389929/500000000000000000000000000 15509368165248750593553669/500000000000000000000000000 322427536619158121308915233/500000000000000000000000000 -109450530227050541586734649/500000000000000000000000000 -57183991500909238072968471/500000000000000000000000000
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191781298594547235633884341/500000000000000000000000000 -109450530227050541586734649/500000000000000000000000000 -2792572204903271414602709/125000000000000000000000000 -115115648814276669829356267/250000000000000000000000000 19550274667185932761491059/125000000000000000000000000 2604742395893746586229353/31250000000000000000000000
90070965348864333662814199/500000000000000000000000000 -57183991500909238072968471/500000000000000000000000000 -158341579070248664034697/6250000000000000000000000 -28047433971877051751705067/125000000000000000000000000 2604742395893746586229353/31250000000000000000000000 41972997541396568385882967/250000000000000000000000000


--- 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 :
2135736699944538670720772101/1000000000000000000000000000 -2135736699944538670720772101/1000000000000000000000000000 910188173401966763/1000000000000000000000000000 -1575791836042649799868661/40000000000000000000000000 39394796195807213868658189/1000000000000000000000000000 -19697398158685819569466493/500000000000000000000000000 0/1 -4301630330576570478390619/125000000000000000000000000 4301630330576570478390619/125000000000000000000000000 7946634488236357/200000000000000000000000000
-2135736699944538670720772101/1000000000000000000000000000 2135736699944538670720772101/1000000000000000000000000000 -910188173401966763/1000000000000000000000000000 1575791836042649799868661/40000000000000000000000000 -39394796195807213868658189/1000000000000000000000000000 19697398158685819569466493/500000000000000000000000000 0/1 4301630330576570478390619/125000000000000000000000000 -4301630330576570478390619/125000000000000000000000000 -7946634488236357/200000000000000000000000000
910188173401966763/1000000000000000000000000000 -910188173401966763/1000000000000000000000000000 213573669708703478343997739/100000000000000000000000000 -19697397473930484677585889/500000000000000000000000000 9848698624755096543023023/250000000000000000000000000 39394795824822215657016687/1000000000000000000000000000 0/1 -67658991590163113/125000000000000000000000000 67658991590163113/125000000000000000000000000 -3441304241905669707835497/100000000000000000000000000
-1575791836042649799868661/40000000000000000000000000 1575791836042649799868661/40000000000000000000000000 -19697397473930484677585889/500000000000000000000000000 77910957765621870398993353/500000000000000000000000000 -1735191818065306404986771/125000000000000000000000000 -14194038187213258502189757/200000000000000000000000000 0/1 39672929710729676280193/62500000000000000000000000 -39672929710729676280193/62500000000000000000000000 317383481765833083731899/500000000000000000000000000
39394796195807213868658189/1000000000000000000000000000 -39394796195807213868658189/1000000000000000000000000000 9848698624755096543023023/250000000000000000000000000 -1735191818065306404986771/125000000000000000000000000 77910957757688476595281989/500000000000000000000000000 -70970191087572642032519861/1000000000000000000000000000 0/1 -39672934048836853658857/62500000000000000000000000 39672934048836853658857/62500000000000000000000000 -39672924830037735445419/62500000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-4301630330576570478390619/125000000000000000000000000 4301630330576570478390619/125000000000000000000000000 -67658991590163113/125000000000000000000000000 39672929710729676280193/62500000000000000000000000 -39672934048836853658857/62500000000000000000000000 158691731517640161338559/250000000000000000000000000 0/1 55449602195377201246963/100000000000000000000000000 -55449602195377201246963/100000000000000000000000000 980620582614707/125000000000000000000000000
4301630330576570478390619/125000000000000000000000000 -4301630330576570478390619/125000000000000000000000000 67658991590163113/125000000000000000000000000 -39672929710729676280193/62500000000000000000000000 39672934048836853658857/62500000000000000000000000 -158691731517640161338559/250000000000000000000000000 0/1 -55449602195377201246963/100000000000000000000000000 55449602195377201246963/100000000000000000000000000 -980620582614707/125000000000000000000000000
7946634488236357/200000000000000000000000000 -7946634488236357/200000000000000000000000000 -3441304241905669707835497/100000000000000000000000000 317383481765833083731899/500000000000000000000000000 -39672924830037735445419/62500000000000000000000000 -634766938856670057094543/1000000000000000000000000000 0/1 980620582614707/125000000000000000000000000 -980620582614707/125000000000000000000000000 277248007713456354694619/500000000000000000000000000


--- 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 :
147719669144511007097537221/1000000000000000000000000000 10459773168260066837156703/62500000000000000000000000 -12707930134575454766223397/1000000000000000000000000000 64630823911193921942968873/1000000000000000000000000000 -207198873793879200055529417/500000000000000000000000000 2370179074725305702677327/500000000000000000000000000
10459773168260066837156703/62500000000000000000000000 47400855575726085318461119/250000000000000000000000000 -287944466636946019734819/20000000000000000000000000 36611170967490195778080909/500000000000000000000000000 -117371138625161359889250519/250000000000000000000000000 335656526085638510728221/62500000000000000000000000
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64630823911193921942968873/1000000000000000000000000000 36611170967490195778080909/500000000000000000000000000 -2780008921966710900283997/500000000000000000000000000 7069375770388006959212473/250000000000000000000000000 -9065437259861003895986117/50000000000000000000000000 41480360009934373323607/20000000000000000000000000
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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 :
3358562918253714510421701/250000000000000000000000000 -3358562918253714510421701/250000000000000000000000000 2933526847802451/125000000000000000000000000 845945565081640004156541/500000000000000000000000000 -105743173001941614542289/62500000000000000000000000 105743181061373525157273/62500000000000000000000000 0/1 8310225588641338136736837/500000000000000000000000000 -8310225588641338136736837/500000000000000000000000000 15956245389592659/500000000000000000000000000
-3358562918253714510421701/250000000000000000000000000 3358562918253714510421701/250000000000000000000000000 -2933526847802451/125000000000000000000000000 -845945565081640004156541/500000000000000000000000000 105743173001941614542289/62500000000000000000000000 -105743181061373525157273/62500000000000000000000000 0/1 -8310225588641338136736837/500000000000000000000000000 8310225588641338136736837/500000000000000000000000000 -15956245389592659/500000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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-8310225588641338136736837/500000000000000000000000000 8310225588641338136736837/500000000000000000000000000 -10103678113642447/250000000000000000000000000 -1046578403985788698864953/500000000000000000000000000 523289102950207641805111/250000000000000000000000000 -261644556388400038519219/125000000000000000000000000 0/1 -20562321151933922596895633/1000000000000000000000000000 20562321151933922596895633/1000000000000000000000000000 -53560838342090381/1000000000000000000000000000
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