#Density : 4357867622831975278132858889/24000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {10, 11, 12, 13, 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 :
3746775035726131069269/10000000000000000000000000 68123424160116595136727/20000000000000000000000000 -45317744078289991687071/25000000000000000000000000 35404659186789664849833/12500000000000000000000000 300796524875860823448513/50000000000000000000000000 -336293442435056689249569/50000000000000000000000000
68123424160116595136727/20000000000000000000000000 1238612106424415388542541/40000000000000000000000000 -823961906543091087803493/50000000000000000000000000 643723359963781088517939/25000000000000000000000000 5469047128428964936136379/100000000000000000000000000 -6114447919296875978481627/100000000000000000000000000
-45317744078289991687071/25000000000000000000000000 -823961906543091087803493/50000000000000000000000000 548124162449848720108989/62500000000000000000000000 -428224077748790135051547/31250000000000000000000000 -3638174110798050289517667/125000000000000000000000000 4067514065873319278064771/125000000000000000000000000
35404659186789664849833/12500000000000000000000000 643723359963781088517939/25000000000000000000000000 -428224077748790135051547/31250000000000000000000000 334551682495077114075981/15625000000000000000000000 2842337302414699800780741/62500000000000000000000000 -3177760768297096414176933/62500000000000000000000000
300796524875860823448513/50000000000000000000000000 5469047128428964936136379/100000000000000000000000000 -3638174110798050289517667/125000000000000000000000000 2842337302414699800780741/62500000000000000000000000 24148380544512587685535101/250000000000000000000000000 -26998124482646239870091613/250000000000000000000000000
-336293442435056689249569/50000000000000000000000000 -6114447919296875978481627/100000000000000000000000000 4067514065873319278064771/125000000000000000000000000 -3177760768297096414176933/62500000000000000000000000 -26998124482646239870091613/250000000000000000000000000 30184165941765203014039869/250000000000000000000000000


--- Term 2 ---

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

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

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

Matrix :
274694950425209052440699/50000000000000000000000000 92795027342763891569117/7812500000000000000000000 -5550649529822145052722213/500000000000000000000000000 -8145233728811667318065647/500000000000000000000000000 6115144955327747981192239/250000000000000000000000000 -14651564826457691736410297/500000000000000000000000000
92795027342763891569117/7812500000000000000000000 895209734778718442263887/6250000000000000000000000 -374612183612587580601081/6250000000000000000000000 -9139366446887913378845887/125000000000000000000000000 10647276406670761719188249/125000000000000000000000000 -17376697471559107650345303/62500000000000000000000000
-5550649529822145052722213/500000000000000000000000000 -374612183612587580601081/6250000000000000000000000 267345119994729585225291/8000000000000000000000000 44502269502229480269816981/1000000000000000000000000000 -29649596798932834276268241/500000000000000000000000000 124838955497862171698109483/1000000000000000000000000000
-8145233728811667318065647/500000000000000000000000000 -9139366446887913378845887/125000000000000000000000000 44502269502229480269816981/1000000000000000000000000000 60520353579598490728727773/1000000000000000000000000000 -10367616712050972271054273/125000000000000000000000000 156092455974515655496751501/1000000000000000000000000000
6115144955327747981192239/250000000000000000000000000 10647276406670761719188249/125000000000000000000000000 -29649596798932834276268241/500000000000000000000000000 -10367616712050972271054273/125000000000000000000000000 58889150734729558496669057/500000000000000000000000000 -94721243949244583576226563/500000000000000000000000000
-14651564826457691736410297/500000000000000000000000000 -17376697471559107650345303/62500000000000000000000000 124838955497862171698109483/1000000000000000000000000000 156092455974515655496751501/1000000000000000000000000000 -94721243949244583576226563/500000000000000000000000000 548328151327511798017989759/1000000000000000000000000000


--- 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 :
1151097012396534112664169399/1000000000000000000000000000 -1208796529573255174974751141/1000000000000000000000000000 105151167461846131502821527/200000000000000000000000000 254855029319887572693773873/1000000000000000000000000000 197031291572993270981549743/250000000000000000000000000 -411122558677319643152794679/1000000000000000000000000000 2329128987862298398858053197/1000000000000000000000000000 -72281363122945118283193821/40000000000000000000000000 -11009453562942103884116003/5000000000000000000000000 13878309406662055680323139/100000000000000000000000000 174381022372863792569027191/250000000000000000000000000 -150352620254159174041785997/500000000000000000000000000
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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 :
419407507214952444136957933/250000000000000000000000000 634205389519892418659352897/250000000000000000000000000 238717675082570112227920313/125000000000000000000000000 219950266171199557973229379/500000000000000000000000000
634205389519892418659352897/250000000000000000000000000 959011150675318450393252261/250000000000000000000000000 360975980416659126137216669/125000000000000000000000000 332596917729004367548576751/500000000000000000000000000
238717675082570112227920313/125000000000000000000000000 360975980416659126137216669/125000000000000000000000000 135872933642127908476315301/62500000000000000000000000 125190930497652632082614679/250000000000000000000000000
219950266171199557973229379/500000000000000000000000000 332596917729004367548576751/500000000000000000000000000 125190930497652632082614679/250000000000000000000000000 2026243488274028750208316877/1000000000000000000000000000


--- 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 :
1749739797325200044484486459/1000000000000000000000000000 61539872972670243101735301/1000000000000000000000000000 1130005948997088540638095437/1000000000000000000000000000 -930973550830178977188247203/1000000000000000000000000000 -412878523532093962051873377/1000000000000000000000000000 -108931387352165615212228347/250000000000000000000000000 363527303667227627215764981/500000000000000000000000000 -396586794189124893666375339/500000000000000000000000000 -146077155833026789989483723/1000000000000000000000000000 227194240860167491782368931/1000000000000000000000000000
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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 :
58521402282694832692942829/125000000000000000000000000 -201673131307849374447063137/125000000000000000000000000 -9454312655344268699649021/125000000000000000000000000 -17539119928181238782988467/50000000000000000000000000 1164921569880975627243921/50000000000000000000000000 188814951663720640076173127/250000000000000000000000000
-201673131307849374447063137/125000000000000000000000000 1389988971728384281934857009/250000000000000000000000000 65161829671461913525778477/250000000000000000000000000 151105796250101126737859471/125000000000000000000000000 -5018108056723928182956969/62500000000000000000000000 -32534167882153441552475931/12500000000000000000000000
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188814951663720640076173127/250000000000000000000000000 -32534167882153441552475931/12500000000000000000000000 -8819644157757578178233897/100000000000000000000000000 -150821422633677017677225251/250000000000000000000000000 94509153565040583112983163/1000000000000000000000000000 1461250525351346618848586663/1000000000000000000000000000


--- 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 :
552053248465751606713711713/200000000000000000000000000 13286247445142920875594213/50000000000000000000000000 803460873715092620284662339/1000000000000000000000000000 162733842480255404459613447/1000000000000000000000000000 -1017491984518947003671392497/1000000000000000000000000000 61819424308746874474793133/100000000000000000000000000 -202036391891611190283721143/250000000000000000000000000 -494522965075954270431026997/500000000000000000000000000 -197863133467172549034513969/200000000000000000000000000
13286247445142920875594213/50000000000000000000000000 7022994019722181806818963/250000000000000000000000000 19336866525651819434760409/250000000000000000000000000 763172991307975619298289/50000000000000000000000000 -3060993282187274703836569/31250000000000000000000000 581780128784070467563549/10000000000000000000000000 -9724806449530545554540841/125000000000000000000000000 -11901667999695272600941099/125000000000000000000000000 -2976228469379353161279333/31250000000000000000000000
803460873715092620284662339/1000000000000000000000000000 19336866525651819434760409/250000000000000000000000000 233872140915793827361416197/1000000000000000000000000000 47368718736340954378509397/1000000000000000000000000000 -296172516383775547351130323/1000000000000000000000000000 89972278588197757092509401/500000000000000000000000000 -58808941493457886961808477/250000000000000000000000000 -143946206166289440362263313/500000000000000000000000000 -287970927683804728564684479/1000000000000000000000000000
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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 :
14541695699092558233400159/1000000000000000000000000000 275125851807405099/500000000000000000000000000 61789644273718768844831/125000000000000000000000000 -123579603325194683994319/250000000000000000000000000 -247159165428240602354041/500000000000000000000000000 35853248280338536675737/50000000000000000000000000 -42466338408012577/250000000000000000000000000
275125851807405099/500000000000000000000000000 477697366050485695933707169/250000000000000000000000000 -55098040167464499160157129/125000000000000000000000000 68872551563711404357023/156250000000000000000000 -27549020477650519314001893/62500000000000000000000000 4203967353095743/3906250000000000000000000 -31574866542225899876107123/50000000000000000000000000
61789644273718768844831/125000000000000000000000000 -55098040167464499160157129/125000000000000000000000000 351155734656319271995404353/250000000000000000000000000 -63205450051566224599590511/250000000000000000000000000 8768555009993594030822411/125000000000000000000000000 7607824412221550607798853/500000000000000000000000000 9104683149070985159094043/62500000000000000000000000
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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 :
272638767469080110367382943/12500000000000000000000000 506835289005696282789655471/200000000000000000000000000 13345143424389939990825077/20000000000000000000000000 410069503999094442989734433/1000000000000000000000000000 -1609086668517866434722724683/200000000000000000000000000 -874814430505471706001793251/250000000000000000000000000 122088603380681822680052649/1000000000000000000000000000 209457845337347935020101021/250000000000000000000000000 -1074939623011320797299939819/500000000000000000000000000 68309215647237051453117749/100000000000000000000000000 -6740402814595419996934316761/500000000000000000000000000 -3053773635991287280881827/2500000000000000000000000
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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 :
649197088546136338142994757/250000000000000000000000000 99829303444164079482783587/1000000000000000000000000000 775884298478479975580402297/1000000000000000000000000000 -9127723462172105143111249/250000000000000000000000000
99829303444164079482783587/1000000000000000000000000000 421198545472296659694541699/1000000000000000000000000000 149040128412937467089213377/500000000000000000000000000 698430749231140340694009/3906250000000000000000000
775884298478479975580402297/1000000000000000000000000000 149040128412937467089213377/500000000000000000000000000 2630574415642722834725316081/1000000000000000000000000000 214396517518164534823399059/250000000000000000000000000
-9127723462172105143111249/250000000000000000000000000 698430749231140340694009/3906250000000000000000000 214396517518164534823399059/250000000000000000000000000 1136996256333854471393006833/1000000000000000000000000000


--- 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 :
791168824671189421628366577/1000000000000000000000000000 169420743035161777910470203/1000000000000000000000000000 -595588750769683552233303/3906250000000000000000000 -835451845553145498116406057/1000000000000000000000000000 -1120045384620990172362771/25000000000000000000000000 -219398316691131978577007499/1000000000000000000000000000
169420743035161777910470203/1000000000000000000000000000 16258189027451814025584967/200000000000000000000000000 -4081256415031924092203463/125000000000000000000000000 -1431228006172786930076303/8000000000000000000000000 -2398463080899752225126729/250000000000000000000000000 -46981914184206705051514037/1000000000000000000000000000
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-1120045384620990172362771/25000000000000000000000000 -2398463080899752225126729/250000000000000000000000000 539626060586707939335309/62500000000000000000000000 5913680838434104697455403/125000000000000000000000000 317126161823212383513469/125000000000000000000000000 776496950905658123472617/62500000000000000000000000
-219398316691131978577007499/1000000000000000000000000000 -46981914184206705051514037/1000000000000000000000000000 528518982181482308012241/12500000000000000000000000 231678401467648838410130323/1000000000000000000000000000 776496950905658123472617/62500000000000000000000000 12168230058080828643011389/200000000000000000000000000


--- 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 :
64322860681985060600502663/200000000000000000000000000 -52038545654540749233131213/250000000000000000000000000 -56730061291228048183032433/1000000000000000000000000000 -6843339347083746445013347/200000000000000000000000000 6843339347083746445013347/200000000000000000000000000 -534635889441747221230857/15625000000000000000000000 0/1 71000869604778317172202137/500000000000000000000000000 -71000869604778317172202137/500000000000000000000000000 -103818245955064999/200000000000000000000000000
-52038545654540749233131213/250000000000000000000000000 321614303331023682568618897/1000000000000000000000000000 -28365030289779943596035171/500000000000000000000000000 34216697214446297187444579/1000000000000000000000000000 -34216697214446297187444579/1000000000000000000000000000 34216696903006021746369709/1000000000000000000000000000 0/1 -142001738237296306397341339/1000000000000000000000000000 142001738237296306397341339/1000000000000000000000000000 258307034135687129/1000000000000000000000000000
-56730061291228048183032433/1000000000000000000000000000 -28365030289779943596035171/500000000000000000000000000 321614306612352056688825143/1000000000000000000000000000 -34216695473964314530861097/1000000000000000000000000000 34216695473964314530861097/1000000000000000000000000000 17108348658288214948556979/500000000000000000000000000 0/1 -604377654418786147/1000000000000000000000000000 604377654418786147/1000000000000000000000000000 35500434700442398758254379/250000000000000000000000000
-6843339347083746445013347/200000000000000000000000000 34216697214446297187444579/1000000000000000000000000000 -34216695473964314530861097/1000000000000000000000000000 45162549220584406321740187/50000000000000000000000000 -45162549220584406321740187/50000000000000000000000000 246617177958668017/1000000000000000000000000000 0/1 45367904460948153771674617/500000000000000000000000000 -45367904460948153771674617/500000000000000000000000000 90735807632791411152631683/1000000000000000000000000000
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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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-103818245955064999/200000000000000000000000000 258307034135687129/1000000000000000000000000000 35500434700442398758254379/250000000000000000000000000 90735807632791411152631683/1000000000000000000000000000 -90735807632791411152631683/1000000000000000000000000000 -18147162060347849840432037/200000000000000000000000000 0/1 -206911318180125673/200000000000000000000000000 206911318180125673/200000000000000000000000000 876463276837824146314763017/1000000000000000000000000000


--- 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 :
5502622370218222384088759/31250000000000000000000000 1903679938698444325157323/15625000000000000000000000 -18293234584463415826810353/62500000000000000000000000 -24797439918358382163522283/125000000000000000000000000 -3913908877082263588341449/7812500000000000000000000 -71457886348918128464429687/125000000000000000000000000
1903679938698444325157323/15625000000000000000000000 658594587303869929697231/7812500000000000000000000 -6328703179928829532350141/31250000000000000000000000 -8578889432637321885386351/62500000000000000000000000 -1354050725254434720675253/3906250000000000000000000 -24721475607789906365145739/62500000000000000000000000
-18293234584463415826810353/62500000000000000000000000 -6328703179928829532350141/31250000000000000000000000 60815082163985966875898151/125000000000000000000000000 82438036812378494054242461/250000000000000000000000000 13011623988262201790525583/15625000000000000000000000 237558711091207352068244529/250000000000000000000000000
-24797439918358382163522283/125000000000000000000000000 -8578889432637321885386351/62500000000000000000000000 82438036812378494054242461/250000000000000000000000000 111749087095760055737497871/500000000000000000000000000 17637939457860336581233813/31250000000000000000000000 322023305291783309018031019/500000000000000000000000000
-3913908877082263588341449/7812500000000000000000000 -1354050725254434720675253/3906250000000000000000000 13011623988262201790525583/15625000000000000000000000 17637939457860336581233813/31250000000000000000000000 2783887693440943667162039/1953125000000000000000000 50826612640597152209070857/31250000000000000000000000
-71457886348918128464429687/125000000000000000000000000 -24721475607789906365145739/62500000000000000000000000 237558711091207352068244529/250000000000000000000000000 322023305291783309018031019/500000000000000000000000000 50826612640597152209070857/31250000000000000000000000 927962919841871237716635191/500000000000000000000000000


--- 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 :
31991649794309571596345751/1000000000000000000000000000 -31991649794309571596345751/1000000000000000000000000000 -10169718306637971/125000000000000000000000000 -8404856940425639126579559/500000000000000000000000000 8404856940425639126579559/500000000000000000000000000 -3361942785956561720416041/200000000000000000000000000 0/1 547963603547953257300573/25000000000000000000000000 -547963603547953257300573/25000000000000000000000000 -7667071816463001/200000000000000000000000000
-31991649794309571596345751/1000000000000000000000000000 31991649794309571596345751/1000000000000000000000000000 10169718306637971/125000000000000000000000000 8404856940425639126579559/500000000000000000000000000 -8404856940425639126579559/500000000000000000000000000 3361942785956561720416041/200000000000000000000000000 0/1 -547963603547953257300573/25000000000000000000000000 547963603547953257300573/25000000000000000000000000 7667071816463001/200000000000000000000000000
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-7667071816463001/200000000000000000000000000 7667071816463001/200000000000000000000000000 547963606433159729109501/25000000000000000000000000 -1151689456151776965331383/100000000000000000000000000 1151689456151776965331383/100000000000000000000000000 2303378924646169743393603/200000000000000000000000000 0/1 -259489614751263/25000000000000000000000000 259489614751263/25000000000000000000000000 600684969769449027934263/40000000000000000000000000

