#Density : 15402242524035848752198961009/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 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 :
10953937115697352146039/244140625000000000000000 131252401921914274623939/3906250000000000000000000 -94956070613562761746257/15625000000000000000000000 -13961373583034562045201/781250000000000000000000 246126043207963338213843/3906250000000000000000000 -450004431173806915870581/7812500000000000000000000
131252401921914274623939/3906250000000000000000000 1572694167249197716291839/62500000000000000000000000 -1137783813569353015233957/250000000000000000000000000 -167288144668684268531301/12500000000000000000000000 2949134544536360317336143/62500000000000000000000000 -5392048707530557885974681/125000000000000000000000000
-94956070613562761746257/15625000000000000000000000 -1137783813569353015233957/250000000000000000000000000 823142880147335685159591/1000000000000000000000000000 121026546145966394629863/50000000000000000000000000 -2133585549363846758546709/250000000000000000000000000 3900940099584990570664803/500000000000000000000000000
-13961373583034562045201/781250000000000000000000 -167288144668684268531301/12500000000000000000000000 121026546145966394629863/50000000000000000000000000 17794510801575501361959/2500000000000000000000000 -313700690577839116526037/12500000000000000000000000 573554504766619081097379/25000000000000000000000000
246126043207963338213843/3906250000000000000000000 2949134544536360317336143/62500000000000000000000000 -2133585549363846758546709/250000000000000000000000000 -313700690577839116526037/12500000000000000000000000 5530251680776761809336991/62500000000000000000000000 -10111232965920516438833097/125000000000000000000000000
-450004431173806915870581/7812500000000000000000000 -5392048707530557885974681/125000000000000000000000000 3900940099584990570664803/500000000000000000000000000 573554504766619081097379/25000000000000000000000000 -10111232965920516438833097/125000000000000000000000000 18486867866519577751872399/250000000000000000000000000


--- 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 :
623283937913967401600331/10000000000000000000000000 67241152534663302316539/1250000000000000000000000 -113441600376984862614423/1000000000000000000000000 -248734764453993694744197/2500000000000000000000000 671935045849190580591717/5000000000000000000000000 -10621951106429164721901/1000000000000000000000000
67241152534663302316539/1250000000000000000000000 7254113766066513496491/156250000000000000000000 -12238313055611022337287/125000000000000000000000 -26834017724411723681493/312500000000000000000000 72489734072960955464373/625000000000000000000000 -1145917921378755943869/125000000000000000000000
-113441600376984862614423/1000000000000000000000000 -12238313055611022337287/125000000000000000000000 20647085402460434541459/100000000000000000000000 45271292957573726363001/250000000000000000000000 -122296408288057564051161/500000000000000000000000 1933261968329004271233/100000000000000000000000
-248734764453993694744197/2500000000000000000000000 -26834017724411723681493/312500000000000000000000 45271292957573726363001/250000000000000000000000 99262919007746950944939/625000000000000000000000 -268150027926359810047179/1250000000000000000000000 4238916400352002958787/250000000000000000000000
671935045849190580591717/5000000000000000000000000 72489734072960955464373/625000000000000000000000 -122296408288057564051161/500000000000000000000000 -268150027926359810047179/1250000000000000000000000 724383669105033887427819/2500000000000000000000000 -11451059091292523860707/500000000000000000000000
-10621951106429164721901/1000000000000000000000000 -1145917921378755943869/125000000000000000000000 1933261968329004271233/100000000000000000000000 4238916400352002958787/250000000000000000000000 -11451059091292523860707/500000000000000000000000 181018374522825001371/100000000000000000000000


--- 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 :
43583428116897457333631143/100000000000000000000000000 485123964708633398997360519/1000000000000000000000000000 233736637114537859264787611/500000000000000000000000000 16231068153849673827546841/62500000000000000000000000 282998102092396707667642883/1000000000000000000000000000 -28968573034530579446060967/1000000000000000000000000000 -106940315119173646640041463/62500000000000000000000000 -141822759768423949518207811/125000000000000000000000000 250699180780550250639632031/500000000000000000000000000 -675899672417598528106273343/1000000000000000000000000000 2382296052238379521212613/3906250000000000000000000 43236925124427064252083717/1000000000000000000000000000
485123964708633398997360519/1000000000000000000000000000 59258361772120815484995109/40000000000000000000000000 549853252325139687353061763/1000000000000000000000000000 18929748730004452031452411/25000000000000000000000000 151324396583808962999378623/250000000000000000000000000 332475587526083130282754877/1000000000000000000000000000 -750193586669955550541576589/250000000000000000000000000 -381954523558876607339570011/200000000000000000000000000 194879425605389095990678403/500000000000000000000000000 -1196577988879277582195480407/1000000000000000000000000000 130808219018471325106603893/250000000000000000000000000 491505795186128056989391669/500000000000000000000000000
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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 :
288802167676570337998355401/500000000000000000000000000 375888828663675377509502773/500000000000000000000000000 379902221117883356061482279/500000000000000000000000000 18088435889548819499077241/40000000000000000000000000
375888828663675377509502773/500000000000000000000000000 1742916226502543471334314463/1000000000000000000000000000 -114156989394053991694690033/500000000000000000000000000 8562753531916974794236191/40000000000000000000000000
379902221117883356061482279/500000000000000000000000000 -114156989394053991694690033/500000000000000000000000000 1955085058914211298861640393/500000000000000000000000000 1559935636966196897781103687/1000000000000000000000000000
18088435889548819499077241/40000000000000000000000000 8562753531916974794236191/40000000000000000000000000 1559935636966196897781103687/1000000000000000000000000000 517755038573592377207632797/200000000000000000000000000


--- 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 :
93497132182639703116561617/12500000000000000000000000 4963888540138215372622099257/1000000000000000000000000000 2171586773844191140508657607/500000000000000000000000000 1292539219486482075365016813/1000000000000000000000000000 6722593102142465153188359/25000000000000000000000000 -341934118154432916077614167/1000000000000000000000000000 330402809364081991324112511/1000000000000000000000000000 -3007356245535240812258882367/1000000000000000000000000000 -4529086065584610846048705597/1000000000000000000000000000 -1335416260498312844986122603/200000000000000000000000000
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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 :
46317225273519043013890793/200000000000000000000000000 -382989217481977063994994323/500000000000000000000000000 -5915930846168855674757211/40000000000000000000000000 -69852592347728849236492281/250000000000000000000000000 -115732160054423576506709923/1000000000000000000000000000 144096891877439910092614071/250000000000000000000000000
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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 :
77302948643298850481653401/100000000000000000000000000 78164937187622463469611789/250000000000000000000000000 -122085989384947177201262067/500000000000000000000000000 -3347618297846078169070983/250000000000000000000000000 -171934708645179972848658291/125000000000000000000000000 -28202693889952303350591783/100000000000000000000000000 76494335376914474937785727/500000000000000000000000000 252490601579078329326596319/500000000000000000000000000 355263455650703311868321259/500000000000000000000000000
78164937187622463469611789/250000000000000000000000000 31904732557713883735978277/250000000000000000000000000 -13687671000788816974595507/125000000000000000000000000 -2626968349405655689028469/500000000000000000000000000 -151610542857096681808889087/250000000000000000000000000 -56583380530587696976417349/500000000000000000000000000 1939086238619744791903119/31250000000000000000000000 22507677859259092374352489/100000000000000000000000000 174418503898571526385303667/500000000000000000000000000
-122085989384947177201262067/500000000000000000000000000 -13687671000788816974595507/125000000000000000000000000 88293519371775207001378323/500000000000000000000000000 1364994634836342032438307/500000000000000000000000000 224607950988833648869642161/250000000000000000000000000 10091499998344858775350889/125000000000000000000000000 -4992438807904622465211599/100000000000000000000000000 -5505698208665493887531581/15625000000000000000000000 -198347964184638582252839573/250000000000000000000000000
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355263455650703311868321259/500000000000000000000000000 174418503898571526385303667/500000000000000000000000000 -198347964184638582252839573/250000000000000000000000000 -149185111571448573706827/40000000000000000000000000 -1959174336184148623204809557/500000000000000000000000000 -211458113217836536626088979/1000000000000000000000000000 18722027416030719715373109/125000000000000000000000000 1567384438573857487380611603/1000000000000000000000000000 3907768821917815505793902933/1000000000000000000000000000


--- 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 :
454259019214760180096001/200000000000000000000000000 456598016896851717/100000000000000000000000000 -21154497782984067265224567/1000000000000000000000000000 21154498638654065104239723/1000000000000000000000000000 2644312560247482359642507/125000000000000000000000000 2692882154883953141883519/100000000000000000000000000 -515620503159105611/500000000000000000000000000
456598016896851717/100000000000000000000000000 2548498205130323056502238261/500000000000000000000000000 37060352587433347124332179/25000000000000000000000000 -370603526300462577570703167/250000000000000000000000000 741207052830387961036940029/500000000000000000000000000 24881516494219233/250000000000000000000000000 -296697317356686690950895443/250000000000000000000000000
-21154497782984067265224567/1000000000000000000000000000 37060352587433347124332179/25000000000000000000000000 1595929305997263800996570427/1000000000000000000000000000 66644264420979226129871097/200000000000000000000000000 -72728095068386495354521117/100000000000000000000000000 -62702744372006137773541941/250000000000000000000000000 -80159902797363635761554617/250000000000000000000000000
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2644312560247482359642507/125000000000000000000000000 741207052830387961036940029/500000000000000000000000000 -72728095068386495354521117/100000000000000000000000000 -300467419368213242030677299/250000000000000000000000000 398982326702425860174571881/250000000000000000000000000 6270274453174674109565547/25000000000000000000000000 -80159903679664386083464867/250000000000000000000000000
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-515620503159105611/500000000000000000000000000 -296697317356686690950895443/250000000000000000000000000 -80159902797363635761554617/250000000000000000000000000 40079951750749554850254391/125000000000000000000000000 -80159903679664386083464867/250000000000000000000000000 -242065412618467411/1000000000000000000000000000 465639119389742705539706469/1000000000000000000000000000


--- Term 14 ---

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

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

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

Matrix :
189543629782432179975859139/500000000000000000000000000 92449591819583933482987807/1000000000000000000000000000 80290561247309440005473977/1000000000000000000000000000 -316724315148440529186447753/1000000000000000000000000000 -557254706544215549895209561/1000000000000000000000000000 -42309767620938282910083667/125000000000000000000000000 43405549116586463742878183/250000000000000000000000000 8176640775145129142670521/62500000000000000000000000 -8194500030230366464349187/250000000000000000000000000 129441216853901442803375191/1000000000000000000000000000 -567097838310682289879528699/1000000000000000000000000000 564247608357224367116834027/1000000000000000000000000000
92449591819583933482987807/1000000000000000000000000000 1775566431402066246168813/31250000000000000000000000 305577465383832316837449/4000000000000000000000000 -10877154781977757715694529/50000000000000000000000000 -85980528655001906156882269/1000000000000000000000000000 -7874701923748404916347011/500000000000000000000000000 44767042169667669746292941/500000000000000000000000000 21268834415504804694526983/250000000000000000000000000 -15752143049280111937448593/1000000000000000000000000000 3056922993892755813672541/125000000000000000000000000 -128313331537288385387665837/1000000000000000000000000000 3550979112474040991210157/1000000000000000000000000000
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564247608357224367116834027/1000000000000000000000000000 3550979112474040991210157/1000000000000000000000000000 -102717637281941290175476917/1000000000000000000000000000 77364908313692239554857629/1000000000000000000000000000 -256174441702562123220661749/250000000000000000000000000 -76507727329331423342789621/100000000000000000000000000 36917388806488729457547093/500000000000000000000000000 -1324743115267409551232971/100000000000000000000000000 -18441039225692725800279523/1000000000000000000000000000 220483516013663147947573891/1000000000000000000000000000 -441577113205330355533603197/500000000000000000000000000 682099157580737307483588471/500000000000000000000000000


--- 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 :
1768463059784807900465329373/500000000000000000000000000 225379961307471554683650313/500000000000000000000000000 134102656801883527792602473/250000000000000000000000000 -238038055512927046424927431/500000000000000000000000000
225379961307471554683650313/500000000000000000000000000 427646746860040743127867843/250000000000000000000000000 19168080363120347206278877/250000000000000000000000000 205255386373124990295309917/250000000000000000000000000
134102656801883527792602473/250000000000000000000000000 19168080363120347206278877/250000000000000000000000000 608776529807131288200680123/1000000000000000000000000000 -519516353913010523054863987/1000000000000000000000000000
-238038055512927046424927431/500000000000000000000000000 205255386373124990295309917/250000000000000000000000000 -519516353913010523054863987/1000000000000000000000000000 1413246230651871526653127927/1000000000000000000000000000


--- 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 :
136861558534248864914507863/1000000000000000000000000000 -32138795886566503229895127/1000000000000000000000000000 42435836132863105821426727/250000000000000000000000000 106025071455334904732187499/1000000000000000000000000000 -42522931330820589341825589/1000000000000000000000000000 -21711850570340912492706467/200000000000000000000000000
-32138795886566503229895127/1000000000000000000000000000 2543743603796223554749553107/1000000000000000000000000000 -121040493419886935500838071/62500000000000000000000000 -29728491482400825162376981/1000000000000000000000000000 -94704371195999326354162599/1000000000000000000000000000 56652256448105497484837797/1000000000000000000000000000
42435836132863105821426727/250000000000000000000000000 -121040493419886935500838071/62500000000000000000000000 407276822644490609628174403/250000000000000000000000000 67555602595132833511385597/500000000000000000000000000 798652216413038394738183/31250000000000000000000000 -78972549991450404511991591/500000000000000000000000000
106025071455334904732187499/1000000000000000000000000000 -29728491482400825162376981/1000000000000000000000000000 67555602595132833511385597/500000000000000000000000000 41072801196239615972307851/500000000000000000000000000 -32742611729116887493333047/1000000000000000000000000000 -4207947712354241752474943/50000000000000000000000000
-42522931330820589341825589/1000000000000000000000000000 -94704371195999326354162599/1000000000000000000000000000 798652216413038394738183/31250000000000000000000000 -32742611729116887493333047/1000000000000000000000000000 17533311091441115284149867/1000000000000000000000000000 6488635942393580773868523/200000000000000000000000000
-21711850570340912492706467/200000000000000000000000000 56652256448105497484837797/1000000000000000000000000000 -78972549991450404511991591/500000000000000000000000000 -4207947712354241752474943/50000000000000000000000000 6488635942393580773868523/200000000000000000000000000 43246276106151120460973063/500000000000000000000000000


--- 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 :
904521371941980684181034047/500000000000000000000000000 -904521371941980684181034047/500000000000000000000000000 -157534815761743493/62500000000000000000000000 166023945944946599778769293/100000000000000000000000000 -166023945817846925395425251/100000000000000000000000000 415059863981578070394157211/250000000000000000000000000 0/1 -73758674398225204143578597/250000000000000000000000000 73758674398225204143578597/250000000000000000000000000 98131671529584157/50000000000000000000000000
-904521371941980684181034047/500000000000000000000000000 904521371941980684181034047/500000000000000000000000000 157534815761743493/62500000000000000000000000 -166023945944946599778769293/100000000000000000000000000 166023945817846925395425251/100000000000000000000000000 -415059863981578070394157211/250000000000000000000000000 0/1 73758674398225204143578597/250000000000000000000000000 -73758674398225204143578597/250000000000000000000000000 -98131671529584157/50000000000000000000000000
-157534815761743493/62500000000000000000000000 157534815761743493/62500000000000000000000000 904521370508768451966056989/500000000000000000000000000 83011972708711171250263239/50000000000000000000000000 -830119726132729970153835299/500000000000000000000000000 -103764966235132754207848991/62500000000000000000000000 0/1 2055618653420669/250000000000000000000000000 -2055618653420669/250000000000000000000000000 -7375867483542620103100817/25000000000000000000000000
166023945944946599778769293/100000000000000000000000000 -166023945944946599778769293/100000000000000000000000000 83011972708711171250263239/50000000000000000000000000 640141116667715302715231217/200000000000000000000000000 -77230813701238494265303863/25000000000000000000000000 -445892137696176242012769/8000000000000000000000000 0/1 -33007838388793034872161909/100000000000000000000000000 33007838388793034872161909/100000000000000000000000000 -16503919147068129653689683/50000000000000000000000000
-166023945817846925395425251/100000000000000000000000000 166023945817846925395425251/100000000000000000000000000 -830119726132729970153835299/500000000000000000000000000 -77230813701238494265303863/25000000000000000000000000 80017639424413436903333963/25000000000000000000000000 -27868257556089741192145057/500000000000000000000000000 0/1 2062989895719387017443829/6250000000000000000000000 -2062989895719387017443829/6250000000000000000000000 4125979784191672158733067/12500000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-73758674398225204143578597/250000000000000000000000000 73758674398225204143578597/250000000000000000000000000 2055618653420669/250000000000000000000000000 -33007838388793034872161909/100000000000000000000000000 2062989895719387017443829/6250000000000000000000000 -165039190886257245225950629/500000000000000000000000000 0/1 3756009646227536195892313/31250000000000000000000000 -3756009646227536195892313/31250000000000000000000000 -2514430775913743/10000000000000000000000000
73758674398225204143578597/250000000000000000000000000 -73758674398225204143578597/250000000000000000000000000 -2055618653420669/250000000000000000000000000 33007838388793034872161909/100000000000000000000000000 -2062989895719387017443829/6250000000000000000000000 165039190886257245225950629/500000000000000000000000000 0/1 -3756009646227536195892313/31250000000000000000000000 3756009646227536195892313/31250000000000000000000000 2514430775913743/10000000000000000000000000
98131671529584157/50000000000000000000000000 -98131671529584157/50000000000000000000000000 -7375867483542620103100817/25000000000000000000000000 -16503919147068129653689683/50000000000000000000000000 4125979784191672158733067/12500000000000000000000000 16503919338830054783808433/50000000000000000000000000 0/1 -2514430775913743/10000000000000000000000000 2514430775913743/10000000000000000000000000 6009615477614055050271703/50000000000000000000000000


--- 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 :
24527907424618736017036971/250000000000000000000000000 35770256741808481220337867/250000000000000000000000000 -28801217998908498678612363/250000000000000000000000000 -17588996780713087878381849/250000000000000000000000000 -34254300774544159311276813/125000000000000000000000000 -28779915593917480275268359/250000000000000000000000000
35770256741808481220337867/250000000000000000000000000 52165529053271202164340459/250000000000000000000000000 -42002236247178205389070251/250000000000000000000000000 -25650901227939943956273273/250000000000000000000000000 -49954735722247191912977901/125000000000000000000000000 -41971169899668189248325543/250000000000000000000000000
-28801217998908498678612363/250000000000000000000000000 -42002236247178205389070251/250000000000000000000000000 33819034940912610075768939/250000000000000000000000000 20653393780953240913703097/250000000000000000000000000 40222166813040384423039789/125000000000000000000000000 33794021180079855533537127/250000000000000000000000000
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-34254300774544159311276813/125000000000000000000000000 -49954735722247191912977901/125000000000000000000000000 40222166813040384423039789/125000000000000000000000000 24563807079779874278557647/125000000000000000000000000 47837636584327387250438139/62500000000000000000000000 40192417068182366329596177/125000000000000000000000000
-28779915593917480275268359/250000000000000000000000000 -41971169899668189248325543/250000000000000000000000000 33794021180079855533537127/250000000000000000000000000 20638117796486975614481421/250000000000000000000000000 40192417068182366329596177/125000000000000000000000000 33769025920314091561112211/250000000000000000000000000


--- 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 :
3613307602524186532401349/25000000000000000000000000 -3613307602524186532401349/25000000000000000000000000 -39859987495069/195312500000000000000000 28933150919259115782188287/250000000000000000000000000 -28933150919259115782188287/250000000000000000000000000 28933150953113478001054121/250000000000000000000000000 0/1 -2107022818066678154399097/50000000000000000000000000 2107022818066678154399097/50000000000000000000000000 6883365950105513/31250000000000000000000000
-3613307602524186532401349/25000000000000000000000000 3613307602524186532401349/25000000000000000000000000 39859987495069/195312500000000000000000 -28933150919259115782188287/250000000000000000000000000 28933150919259115782188287/250000000000000000000000000 -28933150953113478001054121/250000000000000000000000000 0/1 2107022818066678154399097/50000000000000000000000000 -2107022818066678154399097/50000000000000000000000000 -6883365950105513/31250000000000000000000000
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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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