#Density : 9710974111320596693182948499/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 14, 15}
Number of terms              : 19


--- Term 1 ---

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

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

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

Matrix :
6511976141724533975186187/1000000000000000000000000000 9408409575384328272176409/500000000000000000000000000 -14348684613875204203634961/1000000000000000000000000000 7402172151471202047004893/250000000000000000000000000 -32046727309374434087881107/1000000000000000000000000000 451409130578343203379369/25000000000000000000000000
9408409575384328272176409/500000000000000000000000000 13593134988781100340376563/250000000000000000000000000 -20730773390026937538384027/500000000000000000000000000 10694551981282559408765151/125000000000000000000000000 -46300651217896174627236849/500000000000000000000000000 652189426699047449045283/12500000000000000000000000
-14348684613875204203634961/1000000000000000000000000000 -20730773390026937538384027/500000000000000000000000000 31616324394876482511214083/1000000000000000000000000000 -16310169347601896023914279/250000000000000000000000000 70612725394184447899943721/1000000000000000000000000000 -994648491567868515704907/25000000000000000000000000
7402172151471202047004893/250000000000000000000000000 10694551981282559408765151/125000000000000000000000000 -16310169347601896023914279/250000000000000000000000000 8414059168451663466271227/62500000000000000000000000 -36427558589368928235082773/250000000000000000000000000 513117373676671847568591/6250000000000000000000000
-32046727309374434087881107/1000000000000000000000000000 -46300651217896174627236849/500000000000000000000000000 70612725394184447899943721/1000000000000000000000000000 -36427558589368928235082773/250000000000000000000000000 157708306801233430571563227/1000000000000000000000000000 -2221473942435998203313409/25000000000000000000000000
451409130578343203379369/25000000000000000000000000 652189426699047449045283/12500000000000000000000000 -994648491567868515704907/25000000000000000000000000 513117373676671847568591/6250000000000000000000000 -2221473942435998203313409/25000000000000000000000000 31291607760026630590803/625000000000000000000000


--- 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 :
2922447348421923200505363/15625000000000000000000000 -4373496796371756270803289/31250000000000000000000000 12586434038109464339066139/62500000000000000000000000 -22819302082174990244186367/62500000000000000000000000 12897748011632397016408767/62500000000000000000000000 -5611162233791311573380147/31250000000000000000000000
-4373496796371756270803289/31250000000000000000000000 6545019275780129419951467/62500000000000000000000000 -18835832567912835226780017/125000000000000000000000000 34149509863957760066783901/125000000000000000000000000 -19301719717805719874011101/125000000000000000000000000 8397208615806176608397241/62500000000000000000000000
12586434038109464339066139/62500000000000000000000000 -18835832567912835226780017/125000000000000000000000000 54207416903926082290916067/250000000000000000000000000 -98278465344493010678944551/250000000000000000000000000 55548187951522196583851751/250000000000000000000000000 -24166226081329219036728891/125000000000000000000000000
-22819302082174990244186367/62500000000000000000000000 34149509863957760066783901/125000000000000000000000000 -98278465344493010678944551/250000000000000000000000000 178179616409081574731890203/250000000000000000000000000 -100709293604943301120771803/250000000000000000000000000 43813554456033878379320223/125000000000000000000000000
12897748011632397016408767/62500000000000000000000000 -19301719717805719874011101/125000000000000000000000000 55548187951522196583851751/250000000000000000000000000 -100709293604943301120771803/250000000000000000000000000 56922121748881098081173403/250000000000000000000000000 -24763955656175674807145823/125000000000000000000000000
-5611162233791311573380147/31250000000000000000000000 8397208615806176608397241/62500000000000000000000000 -24166226081329219036728891/125000000000000000000000000 43813554456033878379320223/125000000000000000000000000 -24763955656175674807145823/125000000000000000000000000 10773553073908207678697043/62500000000000000000000000


--- 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 :
345040843067728951111739947/250000000000000000000000000 479406855398457570443689829/250000000000000000000000000 775824366543698683784184933/1000000000000000000000000000 -3141694016794711957117147923/1000000000000000000000000000 65740264733308010185803657/200000000000000000000000000 -12710674868329772634976523/3125000000000000000000000 853766866180839016393024607/1000000000000000000000000000 -2205766751655716493609925217/1000000000000000000000000000 242737721157566629288020443/250000000000000000000000000 504470281402473341765377727/1000000000000000000000000000 82770792260070280162996651/250000000000000000000000000 92431896547859941773774939/500000000000000000000000000
479406855398457570443689829/250000000000000000000000000 1532985024543102903566357027/500000000000000000000000000 609160730417530464619126241/1000000000000000000000000000 -3777329103596385277700358513/1000000000000000000000000000 -65069693530467706735828293/200000000000000000000000000 -2607936089499900707848253123/500000000000000000000000000 1169166704664364066448427291/1000000000000000000000000000 -1370642735524236315879452339/1000000000000000000000000000 604768815495388580178630879/500000000000000000000000000 159590705971198757484568711/200000000000000000000000000 21668228708820589196957317/500000000000000000000000000 -30113484680478636969464723/250000000000000000000000000
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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 :
220602674977976437023965163/250000000000000000000000000 86423334779118794252638359/125000000000000000000000000 68999841904466948988316293/125000000000000000000000000 -31765845763670936308547553/500000000000000000000000000
86423334779118794252638359/125000000000000000000000000 275868367187768980434253623/62500000000000000000000000 105580226165693401901144673/62500000000000000000000000 472758807795793988011744947/250000000000000000000000000
68999841904466948988316293/125000000000000000000000000 105580226165693401901144673/62500000000000000000000000 47076051064278997286425287/62500000000000000000000000 147545339976263452443738813/250000000000000000000000000
-31765845763670936308547553/500000000000000000000000000 472758807795793988011744947/250000000000000000000000000 147545339976263452443738813/250000000000000000000000000 2119688462009782042369763487/1000000000000000000000000000


--- 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 :
1093553928386034387130108529/500000000000000000000000000 116235853834451740095921311/50000000000000000000000000 21837306106038910680561841/500000000000000000000000000 1018753788426600968308390709/500000000000000000000000000 -325423126696918832513843369/500000000000000000000000000 -243678764562919115158748061/125000000000000000000000000 -98157459509046944237808607/100000000000000000000000000 1010264125089437202710652459/500000000000000000000000000 -25453041279451208304272557/250000000000000000000000000 -114971042323542666698301071/125000000000000000000000000
116235853834451740095921311/50000000000000000000000000 657903865709029066668522281/250000000000000000000000000 -12710313811077241129053371/250000000000000000000000000 1162334703253495783388168293/500000000000000000000000000 -221288880279093340657904737/250000000000000000000000000 -1114561651852194841265670097/500000000000000000000000000 -17008890489481776906101233/20000000000000000000000000 239591892815228625972231661/100000000000000000000000000 -10058268632725415708621069/125000000000000000000000000 -474402508138566718019685139/500000000000000000000000000
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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 :
2731014994305722321497982789/250000000000000000000000000 -71882964231160453168464877/250000000000000000000000000 146843618890263842077475943/125000000000000000000000000 -2413327688828658679237417423/250000000000000000000000000 19618483735245973061549303/31250000000000000000000000 774251168477577028188761591/250000000000000000000000000
-71882964231160453168464877/250000000000000000000000000 3784058716215058257471943/500000000000000000000000000 -15460266087545504236348659/500000000000000000000000000 127042252273126677711059563/500000000000000000000000000 -413102020325977387864109/25000000000000000000000000 -40758083837439031887407129/500000000000000000000000000
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19618483735245973061549303/31250000000000000000000000 -413102020325977387864109/25000000000000000000000000 337556450301374390403471/5000000000000000000000000 -69345397384960217663037049/125000000000000000000000000 1127448673471545236112469/31250000000000000000000000 889904097191325044911103/5000000000000000000000000
774251168477577028188761591/250000000000000000000000000 -40758083837439031887407129/500000000000000000000000000 166522474637079980208782277/500000000000000000000000000 -1368371676384658118823225029/500000000000000000000000000 889904097191325044911103/5000000000000000000000000 439005185353285926487699687/500000000000000000000000000


--- 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 :
204224026876256524499501077/1000000000000000000000000000 -89956905462529339047038033/500000000000000000000000000 274407259945197714538697553/1000000000000000000000000000 687537025236695674368037707/1000000000000000000000000000 -94054041386159920124563137/500000000000000000000000000 54399550789605709669719399/500000000000000000000000000 -86136015742347026350790809/500000000000000000000000000 -94852328499362425983074707/200000000000000000000000000 131114493211208928388861457/1000000000000000000000000000
-89956905462529339047038033/500000000000000000000000000 39624352551317068768920157/250000000000000000000000000 -120871321159869705016614237/500000000000000000000000000 -302847339400870121269692303/500000000000000000000000000 41429065124008089173941773/250000000000000000000000000 -23961995669342886414834171/250000000000000000000000000 37941321320376477157549061/250000000000000000000000000 41780695828155477676565303/100000000000000000000000000 -57753508492488918818081053/500000000000000000000000000
274407259945197714538697553/1000000000000000000000000000 -120871321159869705016614237/500000000000000000000000000 368709526799492149417703517/1000000000000000000000000000 923814666138132457064980623/1000000000000000000000000000 -126376470870328264094746893/500000000000000000000000000 73094394928713623042844411/500000000000000000000000000 -115737351887472109805360901/500000000000000000000000000 -127449095784908916420973623/200000000000000000000000000 176173045706278891498169373/1000000000000000000000000000
687537025236695674368037707/1000000000000000000000000000 -302847339400870121269692303/500000000000000000000000000 923814666138132457064980623/1000000000000000000000000000 2314650084525791623203614037/1000000000000000000000000000 -316640685306394782305851167/500000000000000000000000000 183140573105830000747489209/500000000000000000000000000 -289983999116411954987688519/500000000000000000000000000 -319328184693666196367681037/200000000000000000000000000 441407752098007772735950287/1000000000000000000000000000
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131114493211208928388861457/1000000000000000000000000000 -57753508492488918818081053/500000000000000000000000000 176173045706278891498169373/1000000000000000000000000000 441407752098007772735950287/1000000000000000000000000000 -60383923279921147411699917/500000000000000000000000000 34925222275723421649030459/500000000000000000000000000 -55300447376515663976067269/500000000000000000000000000 -60896434035318235873767287/200000000000000000000000000 84177217504620715476099037/1000000000000000000000000000


--- 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 :
16849389266970217812933607/500000000000000000000000000 -11614625991625351/250000000000000000000000000 94099570210778669147188257/500000000000000000000000000 -94099570210778669147188257/500000000000000000000000000 -94099569668680017702054673/500000000000000000000000000 34179378519656195604831787/500000000000000000000000000 -6573562243123489/10000000000000000000000000
-11614625991625351/250000000000000000000000000 669608088398392650122329/50000000000000000000000000 -1035374831753956851862017/12500000000000000000000000 1035374831753956851862017/12500000000000000000000000 -20707497032243219403707059/250000000000000000000000000 25013462853865347/250000000000000000000000000 26589918623178706874578847/250000000000000000000000000
94099570210778669147188257/500000000000000000000000000 -1035374831753956851862017/12500000000000000000000000 2213776333322917098627750423/500000000000000000000000000 -2213776333322917098627750423/500000000000000000000000000 -1701476160638356178764706159/500000000000000000000000000 606224025373672488725369593/500000000000000000000000000 -20557198452940337520943467/31250000000000000000000000
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-6573562243123489/10000000000000000000000000 26589918623178706874578847/250000000000000000000000000 -20557198452940337520943467/31250000000000000000000000 20557198452940337520943467/31250000000000000000000000 -164457588424463148165284893/250000000000000000000000000 -172074975779459787/250000000000000000000000000 42235079571895027141989937/50000000000000000000000000


--- 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 :
1679633885532778737477908859/1000000000000000000000000000 -44312484334380735448154569/62500000000000000000000000 -47340304152690376106624651/500000000000000000000000000 5824599744820010193652639/50000000000000000000000000 2756247956254031328332772457/1000000000000000000000000000 -18331592216264221571810267/40000000000000000000000000 85844863834478291632322411/200000000000000000000000000 -417414017714554335182463/2000000000000000000000000 -751348310905637683560788389/1000000000000000000000000000 -224964069283239527281852359/500000000000000000000000000 552530620819194828873444783/1000000000000000000000000000 -369170099282238968574722923/1000000000000000000000000000
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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 :
277508394769548502952829921/100000000000000000000000000 143205170698495897548291489/250000000000000000000000000 91339629447434686593824421/125000000000000000000000000 41097023902430325405747117/50000000000000000000000000
143205170698495897548291489/250000000000000000000000000 331602621610503852455983527/250000000000000000000000000 423007919379242571417201903/250000000000000000000000000 951633297615617209851568953/500000000000000000000000000
91339629447434686593824421/125000000000000000000000000 423007919379242571417201903/250000000000000000000000000 107921764302413350795143233/50000000000000000000000000 1213948247095639437805523579/500000000000000000000000000
41097023902430325405747117/50000000000000000000000000 951633297615617209851568953/500000000000000000000000000 1213948247095639437805523579/500000000000000000000000000 546199501519313612585986529/200000000000000000000000000


--- 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 :
9568763483659324053644151/500000000000000000000000000 -6242557485294993753092751/125000000000000000000000000 -40911542198096504762589/125000000000000000000000000 -51720936833645269922231553/500000000000000000000000000 3544017732651023200817511/250000000000000000000000000 26988887394877548190050747/500000000000000000000000000
-6242557485294993753092751/125000000000000000000000000 4072576777946410060501351/31250000000000000000000000 26690246281019068277989/31250000000000000000000000 33742178070208531167837353/125000000000000000000000000 -2312078719759325851162111/62500000000000000000000000 -17607257334178133747224947/125000000000000000000000000
-40911542198096504762589/125000000000000000000000000 26690246281019068277989/31250000000000000000000000 174918555347816718271/31250000000000000000000000 221134454144284027822667/125000000000000000000000000 -15152556677543305475629/62500000000000000000000000 -115391817074461914297033/125000000000000000000000000
-51720936833645269922231553/500000000000000000000000000 33742178070208531167837353/125000000000000000000000000 221134454144284027822667/125000000000000000000000000 279561231868479505924901959/500000000000000000000000000 -19156071482045246195327633/250000000000000000000000000 -145879929266158931213374941/500000000000000000000000000
3544017732651023200817511/250000000000000000000000000 -2312078719759325851162111/62500000000000000000000000 -15152556677543305475629/62500000000000000000000000 -19156071482045246195327633/250000000000000000000000000 1312610737091981221840471/125000000000000000000000000 9995972381939281295282667/250000000000000000000000000
26988887394877548190050747/500000000000000000000000000 -17607257334178133747224947/125000000000000000000000000 -115391817074461914297033/125000000000000000000000000 -145879929266158931213374941/500000000000000000000000000 9995972381939281295282667/250000000000000000000000000 76122692765609314563138159/500000000000000000000000000


--- 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 :
380526375552677135034317577/500000000000000000000000000 1799912069774315820999817/3906250000000000000000000 -305457560396811783485099901/500000000000000000000000000 412019677651090418782683/500000000000000000000000000 -412019844486277627968509/500000000000000000000000000 51502412061218032297801/62500000000000000000000000 -117298914132618181901005613/250000000000000000000000000 -37139496096036290347657383/250000000000000000000000000 -12080914626015117543674847/125000000000000000000000000 61301325596951836546424347/500000000000000000000000000
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-305457560396811783485099901/500000000000000000000000000 -76364390024589387573362369/125000000000000000000000000 380526375128052421501122577/500000000000000000000000000 412019528513216813030181/500000000000000000000000000 -412019180700843667614347/500000000000000000000000000 -20600972463376065404289/25000000000000000000000000 29324728537605462863851517/62500000000000000000000000 30650662677734189489569711/250000000000000000000000000 30650662686301681332951813/250000000000000000000000000 -74278992310207406798528417/500000000000000000000000000
412019677651090418782683/500000000000000000000000000 -412019597405111658135179/500000000000000000000000000 412019528513216813030181/500000000000000000000000000 10243017716023805473611653/62500000000000000000000000 2560471755394201424863911/15625000000000000000000000 -81939618931724199351165543/500000000000000000000000000 126599474108336651/1000000000000000000000000000 -556474085907572012841/3906250000000000000000000 142457436061229653435023/1000000000000000000000000000 -5698289929864272846151/40000000000000000000000000
-412019844486277627968509/500000000000000000000000000 412019123087363547416157/500000000000000000000000000 -412019180700843667614347/500000000000000000000000000 2560471755394201424863911/15625000000000000000000000 16388828352706629279283129/100000000000000000000000000 -16387923789749485642951279/100000000000000000000000000 370796906488687811/500000000000000000000000000 4451797299806908424091/31250000000000000000000000 -35614280604188176032793/250000000000000000000000000 8903581536088034702121/62500000000000000000000000
51502412061218032297801/62500000000000000000000000 -412019606596880581367449/500000000000000000000000000 -20600972463376065404289/25000000000000000000000000 -81939618931724199351165543/500000000000000000000000000 -16387923789749485642951279/100000000000000000000000000 81944141707895037185184591/500000000000000000000000000 50228214782560473/1000000000000000000000000000 -1424572949099280622553/10000000000000000000000000 28491463589269921466189/200000000000000000000000000 142457215647797546468769/1000000000000000000000000000
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-37139496096036290347657383/250000000000000000000000000 -24161829252275876155525819/250000000000000000000000000 30650662677734189489569711/250000000000000000000000000 -556474085907572012841/3906250000000000000000000 4451797299806908424091/31250000000000000000000000 -1424572949099280622553/10000000000000000000000000 47080706678918513461602703/500000000000000000000000000 1818238892266428094666727/62500000000000000000000000 10058832556096831519170363/500000000000000000000000000 -12302371890877982621836119/500000000000000000000000000
-12080914626015117543674847/125000000000000000000000000 -148557984296502047354929013/1000000000000000000000000000 30650662686301681332951813/250000000000000000000000000 142457436061229653435023/1000000000000000000000000000 -35614280604188176032793/250000000000000000000000000 28491463589269921466189/200000000000000000000000000 5885088333307625983727221/62500000000000000000000000 10058832556096831519170363/500000000000000000000000000 29091822285094745642586969/1000000000000000000000000000 -12302371874433740739762167/500000000000000000000000000
61301325596951836546424347/500000000000000000000000000 122602650856655673537935643/1000000000000000000000000000 -74278992310207406798528417/500000000000000000000000000 -5698289929864272846151/40000000000000000000000000 8903581536088034702121/62500000000000000000000000 142457215647797546468769/1000000000000000000000000000 -94161413621051685210221573/1000000000000000000000000000 -12302371890877982621836119/500000000000000000000000000 -12302371874433740739762167/500000000000000000000000000 29091822401505388306595719/1000000000000000000000000000


--- 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 :
477353993166202892551569/31250000000000000000000000 20715716200879253558073/62500000000000000000000000 -55917987951155788171437/25000000000000000000000000 -32446902158402059678503/15625000000000000000000000 -12203858952326746508343/62500000000000000000000000 -41092522020564825359613/125000000000000000000000000
20715716200879253558073/62500000000000000000000000 898999283255089289121/125000000000000000000000000 -2426671240300130152533/50000000000000000000000000 -1408097190625414461351/31250000000000000000000000 -529610482432767075711/125000000000000000000000000 -1783290883375965005301/250000000000000000000000000
-55917987951155788171437/25000000000000000000000000 -2426671240300130152533/50000000000000000000000000 928290412938258991434981/100000000000000000000000000 3800880587292780328269/12500000000000000000000000 1429579057871257462743/50000000000000000000000000 4813642244911607507253/100000000000000000000000000
-32446902158402059678503/15625000000000000000000000 -1408097190625414461351/31250000000000000000000000 3800880587292780328269/12500000000000000000000000 4410988384925301108147/15625000000000000000000000 103690715655963794277/3906250000000000000000000 1396578912642528356103/31250000000000000000000000
-12203858952326746508343/62500000000000000000000000 -529610482432767075711/125000000000000000000000000 1429579057871257462743/50000000000000000000000000 103690715655963794277/3906250000000000000000000 311999429061925707651/125000000000000000000000000 1050556505054203156341/250000000000000000000000000
-41092522020564825359613/125000000000000000000000000 -1783290883375965005301/250000000000000000000000000 4813642244911607507253/100000000000000000000000000 1396578912642528356103/31250000000000000000000000 1050556505054203156341/250000000000000000000000000 3537407019077094529131/500000000000000000000000000


--- 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 :
195992390961157475684873/3906250000000000000000000 195992390961157475684873/3906250000000000000000000 -195992390961157475684873/3906250000000000000000000 0/1 0/1 0/1 -1425142053669908835392557/62500000000000000000000000 -3663193801658917917454457/62500000000000000000000000 -3663193801658917917454457/62500000000000000000000000 3663193801658917917454457/62500000000000000000000000
195992390961157475684873/3906250000000000000000000 195992390961157475684873/3906250000000000000000000 -195992390961157475684873/3906250000000000000000000 0/1 0/1 0/1 -1425142053669908835392557/62500000000000000000000000 -3663193801658917917454457/62500000000000000000000000 -3663193801658917917454457/62500000000000000000000000 3663193801658917917454457/62500000000000000000000000
-195992390961157475684873/3906250000000000000000000 -195992390961157475684873/3906250000000000000000000 195992390961157475684873/3906250000000000000000000 0/1 0/1 0/1 1425142053669908835392557/62500000000000000000000000 3663193801658917917454457/62500000000000000000000000 3663193801658917917454457/62500000000000000000000000 -3663193801658917917454457/62500000000000000000000000
0/1 0/1 0/1 609445215546998429650400163/1000000000000000000000000000 274188665723891880816211063/1000000000000000000000000000 -220908470500551981418370001/500000000000000000000000000 0/1 0/1 0/1 0/1
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-3663193801658917917454457/62500000000000000000000000 -3663193801658917917454457/62500000000000000000000000 3663193801658917917454457/62500000000000000000000000 0/1 0/1 0/1 26636603145076708031288413/1000000000000000000000000000 68466886712820103177025513/1000000000000000000000000000 68466886712820103177025513/1000000000000000000000000000 -68466886712820103177025513/1000000000000000000000000000
-3663193801658917917454457/62500000000000000000000000 -3663193801658917917454457/62500000000000000000000000 3663193801658917917454457/62500000000000000000000000 0/1 0/1 0/1 26636603145076708031288413/1000000000000000000000000000 68466886712820103177025513/1000000000000000000000000000 68466886712820103177025513/1000000000000000000000000000 -68466886712820103177025513/1000000000000000000000000000
3663193801658917917454457/62500000000000000000000000 3663193801658917917454457/62500000000000000000000000 -3663193801658917917454457/62500000000000000000000000 0/1 0/1 0/1 -26636603145076708031288413/1000000000000000000000000000 -68466886712820103177025513/1000000000000000000000000000 -68466886712820103177025513/1000000000000000000000000000 68466886712820103177025513/1000000000000000000000000000

