#Density : 303653885495692055606541079/3000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 9, 10}
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 :
40236553713644801363397519/62500000000000000000000000 -13655748103260812533959723/125000000000000000000000000 -10073855796827774644539189/31250000000000000000000000 -25014645613296364237170147/125000000000000000000000000 1481108567396345026838811/5000000000000000000000000 -14736040460898879018188187/62500000000000000000000000
-13655748103260812533959723/125000000000000000000000000 21398006765166946828401033/500000000000000000000000000 19565343952774005357262809/500000000000000000000000000 4025008168116445373919993/500000000000000000000000000 -3370516529559373212037299/125000000000000000000000000 5255992538613455381767521/250000000000000000000000000
-10073855796827774644539189/31250000000000000000000000 19565343952774005357262809/500000000000000000000000000 85707049045422820673946963/500000000000000000000000000 58418473663472493373893081/500000000000000000000000000 -8164336147859434009290933/50000000000000000000000000 32562174981028442218831041/250000000000000000000000000
-25014645613296364237170147/125000000000000000000000000 4025008168116445373919993/500000000000000000000000000 58418473663472493373893081/500000000000000000000000000 44938538671437757724011497/500000000000000000000000000 -2924188062399867460224051/25000000000000000000000000 23391935565448152592492497/250000000000000000000000000
1481108567396345026838811/5000000000000000000000000 -3370516529559373212037299/125000000000000000000000000 -8164336147859434009290933/50000000000000000000000000 -2924188062399867460224051/25000000000000000000000000 39671107207103199325941933/250000000000000000000000000 -7920319653779093820900087/62500000000000000000000000
-14736040460898879018188187/62500000000000000000000000 5255992538613455381767521/250000000000000000000000000 32562174981028442218831041/250000000000000000000000000 23391935565448152592492497/250000000000000000000000000 -7920319653779093820900087/62500000000000000000000000 12651156820375335168560121/125000000000000000000000000


--- 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 :
85869921017393356667469/3906250000000000000000000 -19031320236800820040053/6250000000000000000000000 -60157162381160745660501/3125000000000000000000000 -33838756029741960743121/7812500000000000000000000 -101427921804453746295099/6250000000000000000000000 336084330399967346380767/15625000000000000000000000
-19031320236800820040053/6250000000000000000000000 4217904775786400208861/10000000000000000000000000 13332610630691026875837/5000000000000000000000000 7499671535584031658777/12500000000000000000000000 22479434450891819361363/10000000000000000000000000 -74486251327947368947479/25000000000000000000000000
-60157162381160745660501/3125000000000000000000000 13332610630691026875837/5000000000000000000000000 42143793110282698057629/2500000000000000000000000 23706130355533228575609/6250000000000000000000000 71056499059062691014771/5000000000000000000000000 -235447749317706810869943/12500000000000000000000000
-33838756029741960743121/7812500000000000000000000 7499671535584031658777/12500000000000000000000000 23706130355533228575609/6250000000000000000000000 13334837112618984801189/15625000000000000000000000 39969696721270398184791/12500000000000000000000000 -132440737420966014630603/31250000000000000000000000
-101427921804453746295099/6250000000000000000000000 22479434450891819361363/10000000000000000000000000 71056499059062691014771/5000000000000000000000000 39969696721270398184791/12500000000000000000000000 119804737208114785352829/10000000000000000000000000 -396976435748733626260857/25000000000000000000000000
336084330399967346380767/15625000000000000000000000 -74486251327947368947479/25000000000000000000000000 -235447749317706810869943/12500000000000000000000000 -132440737420966014630603/31250000000000000000000000 -396976435748733626260857/25000000000000000000000000 1315392815110605715235781/62500000000000000000000000


--- 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 :
3525821570320245185575589/12500000000000000000000000 -57153660726400953591210691/1000000000000000000000000000 12481238689917092540405433/100000000000000000000000000 2865219242354298321540451/25000000000000000000000000 154325435310234660299390991/1000000000000000000000000000 -145197789640722695939739381/500000000000000000000000000 -4714676145724394130208897/200000000000000000000000000 -147461495139826650293988543/1000000000000000000000000000 -192889121627883491106867553/1000000000000000000000000000 17666246605974692235467163/250000000000000000000000000 -4271102153798081901421861/100000000000000000000000000 -220752817962075435915757811/500000000000000000000000000
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12481238689917092540405433/100000000000000000000000000 -53374392008330792070620493/125000000000000000000000000 15942225455944657890378039/50000000000000000000000000 -9646026967307515543375779/10000000000000000000000000 281675429761576588464712167/500000000000000000000000000 -60139367011449577001953107/250000000000000000000000000 -20619300647779185519821691/100000000000000000000000000 -7610528109451162260723651/31250000000000000000000000 10582915074431301444428577/15625000000000000000000000 -87083286954314139176571531/500000000000000000000000000 35222006518528208671346679/100000000000000000000000000 -246859652355235065061121889/500000000000000000000000000
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-220752817962075435915757811/500000000000000000000000000 544102884417866824629014829/1000000000000000000000000000 -246859652355235065061121889/500000000000000000000000000 121215624072433617320754073/125000000000000000000000000 -32074500058523428944642299/40000000000000000000000000 290685305589301913694912551/500000000000000000000000000 258458340051378765014048273/1000000000000000000000000000 432596340049049600518932557/1000000000000000000000000000 -561242662626135732497354041/1000000000000000000000000000 60949627012405005627867767/500000000000000000000000000 -8829317546064586647519177/25000000000000000000000000 128593000196672512345137143/125000000000000000000000000


--- 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 :
1015222182413382469462824281/1000000000000000000000000000 -94491114733585555974057367/250000000000000000000000000 -277087187861651016875346153/500000000000000000000000000 24287586402251741763406103/125000000000000000000000000
-94491114733585555974057367/250000000000000000000000000 87041103645084790867399549/250000000000000000000000000 23934192656025250040493149/62500000000000000000000000 -78137976692713096974707569/500000000000000000000000000
-277087187861651016875346153/500000000000000000000000000 23934192656025250040493149/62500000000000000000000000 113223221008183330204436087/250000000000000000000000000 -44382490912259494148027853/250000000000000000000000000
24287586402251741763406103/125000000000000000000000000 -78137976692713096974707569/500000000000000000000000000 -44382490912259494148027853/250000000000000000000000000 1896827168476373414160185489/1000000000000000000000000000


--- 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 :
1179018509362413075543801527/1000000000000000000000000000 133681159031283272198090423/250000000000000000000000000 -174150254154582929176644807/250000000000000000000000000 32399318105123823184085083/125000000000000000000000000 35377375783878084322578363/50000000000000000000000000 -159669600105661980326467883/250000000000000000000000000 -11572707915465686837949299/20000000000000000000000000 -4720125909115897668043439/15625000000000000000000000 -650258933311293119259681703/1000000000000000000000000000 -44052360649329081668220147/62500000000000000000000000
133681159031283272198090423/250000000000000000000000000 3214052861273756614337580151/1000000000000000000000000000 1981144967093304123394303/100000000000000000000000000 -243374611139515028967510797/125000000000000000000000000 1172074768789882033701861531/1000000000000000000000000000 -2086274695516486966414302947/1000000000000000000000000000 -242096814604140354197070741/500000000000000000000000000 -1269467689978059013225249007/1000000000000000000000000000 -699334427170328868389272741/500000000000000000000000000 35447899399465001297434509/500000000000000000000000000
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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 :
341326446010589663488490953/100000000000000000000000000 2946850415510165760984519569/1000000000000000000000000000 385434995596225502315133093/250000000000000000000000000 -778179962355190065539537433/1000000000000000000000000000 10353999142551546542337431/200000000000000000000000000 1331158933605458824227142101/1000000000000000000000000000
2946850415510165760984519569/1000000000000000000000000000 2714244408977166209195704639/1000000000000000000000000000 1393841211493060329412108863/1000000000000000000000000000 -200229098129605301910515181/500000000000000000000000000 244963199677159055351494433/1000000000000000000000000000 1053184067422543373484285993/1000000000000000000000000000
385434995596225502315133093/250000000000000000000000000 1393841211493060329412108863/1000000000000000000000000000 303183373542344549419597299/200000000000000000000000000 -251325256826964034867376007/1000000000000000000000000000 48652505264302736406346137/500000000000000000000000000 282904841720303671947666723/500000000000000000000000000
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1331158933605458824227142101/1000000000000000000000000000 1053184067422543373484285993/1000000000000000000000000000 282904841720303671947666723/500000000000000000000000000 -228396829864783819329919653/500000000000000000000000000 -46470899721594346943645709/500000000000000000000000000 71677472879583637806181971/125000000000000000000000000


--- 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 :
2120041605248273274248241/2000000000000000000000000 10488230204204860443432459/20000000000000000000000000 2425734980755907211599967/20000000000000000000000000 -1254886710805032486392673/20000000000000000000000000 -19357251516422518418192187/20000000000000000000000000 -2483359825149654955631919/5000000000000000000000000 355177985313069104254497/2500000000000000000000000 -9819510677935478696253033/20000000000000000000000000 -157820644622395306851057/125000000000000000000000
10488230204204860443432459/20000000000000000000000000 51887176432800680537776841/200000000000000000000000000 12000550757861653324720933/200000000000000000000000000 -6208152080854711944614427/200000000000000000000000000 -95763832899476231967722713/200000000000000000000000000 -12285631310991803959919381/50000000000000000000000000 1757129890379162301197403/25000000000000000000000000 -48578899691345534160526067/200000000000000000000000000 -780767343281380638112843/1250000000000000000000000
2425734980755907211599967/20000000000000000000000000 12000550757861653324720933/200000000000000000000000000 2775506943965742282458129/200000000000000000000000000 -1435831534508498752021551/200000000000000000000000000 -22148415398280626570241269/200000000000000000000000000 -2841440839065013321253953/50000000000000000000000000 406391865723514109392239/25000000000000000000000000 -11235407119562067499752871/200000000000000000000000000 -180577144051452929772959/1250000000000000000000000
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-157820644622395306851057/125000000000000000000000 -780767343281380638112843/1250000000000000000000000 -180577144051452929772959/1250000000000000000000000 93416576890308124620321/1250000000000000000000000 1440997150658220148203899/1250000000000000000000000 184866866510659794161263/312500000000000000000000 -26440244596628004716769/156250000000000000000000 730986364244859629408041/1250000000000000000000000 11748522202285529491889/7812500000000000000000


--- 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 :
867869703115995658189203493/1000000000000000000000000000 1522100462572414043/1000000000000000000000000000 -133569688947727163307557157/500000000000000000000000000 267139376991255896749844187/1000000000000000000000000000 267139379075783023442995979/1000000000000000000000000000 -150320983260125651214635561/500000000000000000000000000 78555834468469401/500000000000000000000000000
1522100462572414043/1000000000000000000000000000 3893324390033010053038140183/1000000000000000000000000000 549915526428316085533618279/500000000000000000000000000 -1099831056608271511550911881/1000000000000000000000000000 1099831052060351068606838093/1000000000000000000000000000 -923794146421874721/250000000000000000000000000 559807658080167217856648151/500000000000000000000000000
-133569688947727163307557157/500000000000000000000000000 549915526428316085533618279/500000000000000000000000000 62561852432778257541208159/125000000000000000000000000 -142787553323397953264081589/500000000000000000000000000 60559256122468297196837573/500000000000000000000000000 23135185756790041597361609/250000000000000000000000000 79863529946407515094443471/250000000000000000000000000
267139376991255896749844187/1000000000000000000000000000 -1099831056608271511550911881/1000000000000000000000000000 -142787553323397953264081589/500000000000000000000000000 500494821155302687297643751/1000000000000000000000000000 -336038227063184761138840371/1000000000000000000000000000 -23135185649522831275356759/250000000000000000000000000 -159727060345055594002544073/500000000000000000000000000
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78555834468469401/500000000000000000000000000 559807658080167217856648151/500000000000000000000000000 79863529946407515094443471/250000000000000000000000000 -159727060345055594002544073/500000000000000000000000000 159727059557852952430005399/500000000000000000000000000 -257248173619117917/250000000000000000000000000 102612330013916281940842269/250000000000000000000000000


--- 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 :
46960686399841361530188143/250000000000000000000000000 29158782154162387836859063/62500000000000000000000000 13674181679421868675591433/250000000000000000000000000 -3975458544494242950875763/125000000000000000000000000 -40720218572854449942249529/100000000000000000000000000 -224836781053655270588150189/500000000000000000000000000 34406905466133355484335389/500000000000000000000000000 4509285074272675921916737/62500000000000000000000000 1849959616008215929175273/100000000000000000000000000 -4100278873720031029036941/125000000000000000000000000 1740276851107978188989807/125000000000000000000000000 -26859243401958047213558861/250000000000000000000000000
29158782154162387836859063/62500000000000000000000000 586703940509812839931213037/500000000000000000000000000 43921058780333218560774259/250000000000000000000000000 -34122636821060966124445983/500000000000000000000000000 -95019861212418615743083381/100000000000000000000000000 -69336540521984619015937301/62500000000000000000000000 1702679657063061029272451/500000000000000000000000000 47764262603799063651429053/500000000000000000000000000 9959807259427836049192137/250000000000000000000000000 -12325747298476694032380407/125000000000000000000000000 76065819883887670110856289/500000000000000000000000000 -104390962941103970946696497/500000000000000000000000000
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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 :
1073090290080952763781600379/1000000000000000000000000000 100234644672263019903348557/1000000000000000000000000000 196371986575859805725231511/1000000000000000000000000000 104354372792419584930807499/1000000000000000000000000000
100234644672263019903348557/1000000000000000000000000000 1077338835057210072031229313/1000000000000000000000000000 401507725683960899642304763/1000000000000000000000000000 2146619580157217770972213/6250000000000000000000000
196371986575859805725231511/1000000000000000000000000000 401507725683960899642304763/1000000000000000000000000000 204856731307708846919331613/200000000000000000000000000 404676150835082716034368991/500000000000000000000000000
104354372792419584930807499/1000000000000000000000000000 2146619580157217770972213/6250000000000000000000000 404676150835082716034368991/500000000000000000000000000 409542547143202507711010059/500000000000000000000000000


--- 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 :
2994909491080611472359229/40000000000000000000000000 400336275279977178601011/6250000000000000000000000 -103498718205156456589743/200000000000000000000000000 -13595011458855893661743071/200000000000000000000000000 -1741406742230584271596929/25000000000000000000000000 10091770921277370408027/12500000000000000000000000
400336275279977178601011/6250000000000000000000000 53513848676347807693149/976562500000000000000000 -13834906018329836930337/31250000000000000000000000 -1817275702666796854984689/31250000000000000000000000 -232777748712696202075311/3906250000000000000000000 1348989675192231783093/1953125000000000000000000
-103498718205156456589743/200000000000000000000000000 -13834906018329836930337/31250000000000000000000000 3576730683185129686581/1000000000000000000000000000 469819293092662710444357/1000000000000000000000000000 60179904010939467335643/125000000000000000000000000 -348753562631173746009/62500000000000000000000000
-13595011458855893661743071/200000000000000000000000000 -1817275702666796854984689/31250000000000000000000000 469819293092662710444357/1000000000000000000000000000 61712828757217455441164629/1000000000000000000000000000 7904894850966459283495371/125000000000000000000000000 -45810313040682708456873/62500000000000000000000000
-1741406742230584271596929/25000000000000000000000000 -232777748712696202075311/3906250000000000000000000 60179904010939467335643/125000000000000000000000000 7904894850966459283495371/125000000000000000000000000 1012550613271442391844629/15625000000000000000000000 -5867916201039527963127/7812500000000000000000000
10091770921277370408027/12500000000000000000000000 1348989675192231783093/1953125000000000000000000 -348753562631173746009/62500000000000000000000000 -45810313040682708456873/62500000000000000000000000 -5867916201039527963127/7812500000000000000000000 34005648795347271501/3906250000000000000000000


--- 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 :
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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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