#Density : 15401528529322478342346420847/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 9, 10, 11, 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 :
211158463973164875038799/1600000000000000000000000 3533047917161205438599373/40000000000000000000000000 -2592378232371520708863591/20000000000000000000000000 -363367600659461482040151/8000000000000000000000000 -2134188698308419620370159/20000000000000000000000000 608183241850923759130509/40000000000000000000000000
3533047917161205438599373/40000000000000000000000000 59114029104433456785841671/1000000000000000000000000000 -43374991189262590910363157/500000000000000000000000000 -6079771184719957369922277/200000000000000000000000000 -35708684338345031695698093/500000000000000000000000000 10175962144462412237097543/1000000000000000000000000000
-2592378232371520708863591/20000000000000000000000000 -43374991189262590910363157/500000000000000000000000000 31826452860197718906041919/250000000000000000000000000 4461039546197721598966959/100000000000000000000000000 26201290827589901666061831/250000000000000000000000000 -7466624675143718688864981/500000000000000000000000000
-363367600659461482040151/8000000000000000000000000 -6079771184719957369922277/200000000000000000000000000 4461039546197721598966959/100000000000000000000000000 625293491554256150778399/40000000000000000000000000 3672573725282561792236791/100000000000000000000000000 -1046579337595239532843941/200000000000000000000000000
-2134188698308419620370159/20000000000000000000000000 -35708684338345031695698093/500000000000000000000000000 26201290827589901666061831/250000000000000000000000000 3672573725282561792236791/100000000000000000000000000 21570347284616682497771919/250000000000000000000000000 -6146937124072713268156269/500000000000000000000000000
608183241850923759130509/40000000000000000000000000 10175962144462412237097543/1000000000000000000000000000 -7466624675143718688864981/500000000000000000000000000 -1046579337595239532843941/200000000000000000000000000 -6146937124072713268156269/500000000000000000000000000 1751702719883899053418119/1000000000000000000000000000


--- 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 :
1099916749978923292854207/1000000000000000000000000000 663537872261914772565597/200000000000000000000000000 -2154855736369981518717921/1000000000000000000000000000 1859922674278220251502649/1000000000000000000000000000 -4270682173917771185488761/1000000000000000000000000000 -6406592009503035907581717/1000000000000000000000000000
663537872261914772565597/200000000000000000000000000 400287119851848660487287/40000000000000000000000000 -1299942373247536776233091/200000000000000000000000000 1122020492810850569546379/200000000000000000000000000 -2576339857396105029190731/200000000000000000000000000 -3864852890473108701435807/200000000000000000000000000
-2154855736369981518717921/1000000000000000000000000000 -1299942373247536776233091/200000000000000000000000000 4221595174958098071489663/1000000000000000000000000000 -3643789444928280860875047/1000000000000000000000000000 8366727737218362551838183/1000000000000000000000000000 12551205845828097595829451/1000000000000000000000000000
1859922674278220251502649/1000000000000000000000000000 1122020492810850569546379/200000000000000000000000000 -3643789444928280860875047/1000000000000000000000000000 3145067437477003827500943/1000000000000000000000000000 -7221581642481280032654927/1000000000000000000000000000 -10833334198749764115171219/1000000000000000000000000000
-4270682173917771185488761/1000000000000000000000000000 -2576339857396105029190731/200000000000000000000000000 8366727737218362551838183/1000000000000000000000000000 -7221581642481280032654927/1000000000000000000000000000 16581915159459579264607503/1000000000000000000000000000 24875081037790298567281491/1000000000000000000000000000
-6406592009503035907581717/1000000000000000000000000000 -3864852890473108701435807/200000000000000000000000000 12551205845828097595829451/1000000000000000000000000000 -10833334198749764115171219/1000000000000000000000000000 24875081037790298567281491/1000000000000000000000000000 37315934298677281486843527/1000000000000000000000000000


--- 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 :
1239750054736961017010793081/1000000000000000000000000000 424074478136960800442150667/1000000000000000000000000000 36659902932049543102059471/50000000000000000000000000 53815728942304078374229983/500000000000000000000000000 150798677117627883120681921/250000000000000000000000000 -1981682548602687019322000943/1000000000000000000000000000 132811592446027465217076237/250000000000000000000000000 -16804438987482164961550581/200000000000000000000000000 -401361166152835652306551779/500000000000000000000000000 -66393643279525895805128877/1000000000000000000000000000 1017347586817774887371769/1600000000000000000000000 -201030070422214960184742237/100000000000000000000000000
424074478136960800442150667/1000000000000000000000000000 337199106826649531111381253/1000000000000000000000000000 250799754768746689372737581/500000000000000000000000000 28375095495579307676044343/500000000000000000000000000 137547619722352371435285897/250000000000000000000000000 -61275821010336521103153857/40000000000000000000000000 137296968506453100914006969/500000000000000000000000000 106903931877167544589059597/1000000000000000000000000000 -265663764974765221196281331/500000000000000000000000000 -77749851754293297255233961/1000000000000000000000000000 834325024865252229679858121/1000000000000000000000000000 -648880214501211089832637149/500000000000000000000000000
36659902932049543102059471/50000000000000000000000000 250799754768746689372737581/500000000000000000000000000 83657366809323850442427443/100000000000000000000000000 115567105119232040810355569/500000000000000000000000000 102799908553002308987795253/100000000000000000000000000 -343220078723411985198515371/125000000000000000000000000 61946767022735002634757873/500000000000000000000000000 75300095357635785325559033/500000000000000000000000000 -246715043824224671422470107/250000000000000000000000000 -50334415935529343028664483/500000000000000000000000000 259988267273645874098817917/250000000000000000000000000 -804669806100074378906521303/500000000000000000000000000
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-201030070422214960184742237/100000000000000000000000000 -648880214501211089832637149/500000000000000000000000000 -804669806100074378906521303/500000000000000000000000000 145831743762710565659936517/250000000000000000000000000 -2834343872649663766248561/2500000000000000000000000 1743094457360351135721678241/500000000000000000000000000 -1411927703339840498287508023/500000000000000000000000000 -42821573389284107440678427/500000000000000000000000000 147343643711965853191354947/125000000000000000000000000 92714871049826521696681869/250000000000000000000000000 -247311612189456436001323303/62500000000000000000000000 1869221356512666561668852237/250000000000000000000000000


--- 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 :
740859612346311442146623871/500000000000000000000000000 1149388241591854311352873707/1000000000000000000000000000 448799134477912487971289193/200000000000000000000000000 -140653684490746992668038347/500000000000000000000000000
1149388241591854311352873707/1000000000000000000000000000 1852810201274507846252796791/1000000000000000000000000000 1748009359486264812417090781/1000000000000000000000000000 58510632386842222913677117/1000000000000000000000000000
448799134477912487971289193/200000000000000000000000000 1748009359486264812417090781/1000000000000000000000000000 3398483969842598623446545309/1000000000000000000000000000 -423921544449376944601690051/1000000000000000000000000000
-140653684490746992668038347/500000000000000000000000000 58510632386842222913677117/1000000000000000000000000000 -423921544449376944601690051/1000000000000000000000000000 458226721802637806098945943/250000000000000000000000000


--- 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 :
1276987829295434568058926447/500000000000000000000000000 1746540365391444105430431939/1000000000000000000000000000 1707821787504125497508162007/1000000000000000000000000000 1700411963621989152301934037/1000000000000000000000000000 -108912174028708152034019147/1000000000000000000000000000 -181169259694037116573022159/100000000000000000000000000 -240052498914065310894495461/250000000000000000000000000 -20959682876099523022514431/40000000000000000000000000 -1215396297175607209406246939/500000000000000000000000000 121507498433269207917350939/1000000000000000000000000000
1746540365391444105430431939/1000000000000000000000000000 122114891455551313920884607/100000000000000000000000000 1311734241125419251483296273/1000000000000000000000000000 600950207282476603336300349/500000000000000000000000000 -34512822599301879583138929/500000000000000000000000000 -387446461682024353380859553/250000000000000000000000000 -594418674768089649459561257/1000000000000000000000000000 -207352018507332769521590329/500000000000000000000000000 -784886613988283398340606391/500000000000000000000000000 90742750629305151629077597/500000000000000000000000000
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121507498433269207917350939/1000000000000000000000000000 90742750629305151629077597/500000000000000000000000000 609833713216120770267133273/1000000000000000000000000000 56119683867133418746546189/250000000000000000000000000 -23702459615874102825463171/100000000000000000000000000 -1228548052257773530888015081/1000000000000000000000000000 39527637338087820963176687/250000000000000000000000000 -232085591648256197486838829/1000000000000000000000000000 224381077706321261180756777/1000000000000000000000000000 1043414111968337875403454083/1000000000000000000000000000


--- 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 :
292296423645704227360174511/500000000000000000000000000 9387263722512180850072173/31250000000000000000000000 172725478282377271891676859/500000000000000000000000000 278835877563997101272874039/250000000000000000000000000 -8742013085400954488539107/500000000000000000000000000 699168270889617607039725277/500000000000000000000000000
9387263722512180850072173/31250000000000000000000000 1612019702057012298549435099/500000000000000000000000000 385563434449109223558592647/500000000000000000000000000 -470452281900612959824179273/250000000000000000000000000 -150661419191416082196792603/250000000000000000000000000 688723903220048129069311263/250000000000000000000000000
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699168270889617607039725277/500000000000000000000000000 688723903220048129069311263/250000000000000000000000000 305026493745177600098063349/250000000000000000000000000 519668723477239622838491511/500000000000000000000000000 -217821905646360319723089939/500000000000000000000000000 2347838424824220578776861589/500000000000000000000000000


--- 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 :
96144680605938551690040969/100000000000000000000000000 -34093560083594296791406503/1000000000000000000000000000 74973328739268916151337969/125000000000000000000000000 -41951748597641989870253961/500000000000000000000000000 297620867368117711222842897/1000000000000000000000000000 30170546003000080313163099/125000000000000000000000000 -206248879954474220789124501/500000000000000000000000000 -149828391807269794425790347/250000000000000000000000000 -836185249680294130787237739/1000000000000000000000000000
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74973328739268916151337969/125000000000000000000000000 -5317210836688658549287031/250000000000000000000000000 11692794623313346536071317/31250000000000000000000000 -6542769124564347011030017/125000000000000000000000000 74266830325223005773537/400000000000000000000000 4705379954399285298053481/31250000000000000000000000 -32166449524775260733150813/125000000000000000000000000 -23367144604666956316740027/62500000000000000000000000 -130410941543730271966590531/250000000000000000000000000
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-836185249680294130787237739/1000000000000000000000000000 1853231236463065774635807/62500000000000000000000000 -130410941543730271966590531/250000000000000000000000000 36486088626599952780229479/500000000000000000000000000 -129422750027266479108190383/500000000000000000000000000 -4198366942607247663781449/20000000000000000000000000 179377860630555353399639397/500000000000000000000000000 32577021012231750997351623/62500000000000000000000000 145448664944591456688405819/200000000000000000000000000


--- 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 :
23761623364686679364937077/50000000000000000000000000 -550325017863353/7812500000000000000000000 -23588322935004631311862261/31250000000000000000000000 188706583424827284878883689/250000000000000000000000000 23588322918929228372157527/31250000000000000000000000 -930640044811988245927957/12500000000000000000000000 -73695228113197559/250000000000000000000000000
-550325017863353/7812500000000000000000000 1037066583864303821553333/62500000000000000000000000 18963765077845183466236897/500000000000000000000000000 -1896376525200085805776549/50000000000000000000000000 2370470655795839976102433/62500000000000000000000000 114393184807439/125000000000000000000000000 9047316517647695060533761/125000000000000000000000000
-23588322935004631311862261/31250000000000000000000000 18963765077845183466236897/500000000000000000000000000 355098011196791177203800573/250000000000000000000000000 -28770526883102330614569461/25000000000000000000000000 -623503327009136588770540103/500000000000000000000000000 59126567473155840339362103/500000000000000000000000000 20679866208135306283523733/125000000000000000000000000
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-73695228113197559/250000000000000000000000000 9047316517647695060533761/125000000000000000000000000 20679866208135306283523733/125000000000000000000000000 -1654389299869578562496177/10000000000000000000000000 1033993312359137635330199/6250000000000000000000000 6195323648896853/62500000000000000000000000 78928332514097368268221921/250000000000000000000000000


--- 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 :
6545957605373766629836663861/1000000000000000000000000000 1476450152642400455846501359/200000000000000000000000000 -958461602022948842927714629/1000000000000000000000000000 100228403495399350981392183/40000000000000000000000000 413550343101379638132149973/500000000000000000000000000 43797020565530595486622469/100000000000000000000000000 -893544007691103279176155159/1000000000000000000000000000 -622382926021038117835489059/500000000000000000000000000 -1430009527309593204267712051/250000000000000000000000000 274494255873113938968478733/250000000000000000000000000 77568219111212069802984237/1000000000000000000000000000 -483337311694426368192144493/250000000000000000000000000
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--- Term 15 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
168068109516016681308949909/100000000000000000000000000 336950134900830832941947739/500000000000000000000000000 -211263448575641273821595017/500000000000000000000000000 -131068179038431896811330847/250000000000000000000000000
336950134900830832941947739/500000000000000000000000000 1559809915703532714140577649/1000000000000000000000000000 -331309054747821112799005587/1000000000000000000000000000 -411089327533499114804966411/1000000000000000000000000000
-211263448575641273821595017/500000000000000000000000000 -331309054747821112799005587/1000000000000000000000000000 649374069121322929810553781/1000000000000000000000000000 805745407692918759255563473/1000000000000000000000000000
-131068179038431896811330847/250000000000000000000000000 -411089327533499114804966411/1000000000000000000000000000 805745407692918759255563473/1000000000000000000000000000 999771461303812336310810663/1000000000000000000000000000


--- 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 :
97256382366060280964737733/50000000000000000000000000 -11473790760190892885322153/100000000000000000000000000 40819131515264863848875461/500000000000000000000000000 -26858474889595156903833801/20000000000000000000000000 3049202689120379441988999/250000000000000000000000000 44511872851767455211364613/125000000000000000000000000
-11473790760190892885322153/100000000000000000000000000 16474291685798784222498429/1000000000000000000000000000 112337322566547360671277/200000000000000000000000000 103346361761713693379105319/1000000000000000000000000000 -437810458454889036158817/250000000000000000000000000 -25564404745497447635018529/500000000000000000000000000
40819131515264863848875461/500000000000000000000000000 112337322566547360671277/200000000000000000000000000 11701906936270959911672089/250000000000000000000000000 -21497350671933434929294893/500000000000000000000000000 -59708187140129090469171/1000000000000000000000000000 -1743223196255185504931029/1000000000000000000000000000
-26858474889595156903833801/20000000000000000000000000 103346361761713693379105319/1000000000000000000000000000 -21497350671933434929294893/500000000000000000000000000 493576093845922986661302657/500000000000000000000000000 -10985872561574407430533191/1000000000000000000000000000 -64148147191550689032490497/200000000000000000000000000
3049202689120379441988999/250000000000000000000000000 -437810458454889036158817/250000000000000000000000000 -59708187140129090469171/1000000000000000000000000000 -10985872561574407430533191/1000000000000000000000000000 186159624887750233493151/1000000000000000000000000000 5435068881972340821586851/1000000000000000000000000000
44511872851767455211364613/125000000000000000000000000 -25564404745497447635018529/500000000000000000000000000 -1743223196255185504931029/1000000000000000000000000000 -64148147191550689032490497/200000000000000000000000000 5435068881972340821586851/1000000000000000000000000000 158680883513790832656658891/1000000000000000000000000000


--- 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 :
2867767846888172243584789643/1000000000000000000000000000 -2867767846888172243584789643/1000000000000000000000000000 -1820308814933179/6250000000000000000000000 193326485523958626510145403/1000000000000000000000000000 -96663240866556947943985417/500000000000000000000000000 193326482706306261400887269/1000000000000000000000000000 0/1 -142149691764544570902583143/200000000000000000000000000 142149691764544570902583143/200000000000000000000000000 786939900945504423/250000000000000000000000000
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-1820308814933179/6250000000000000000000000 1820308814933179/6250000000000000000000000 2867767841833341881903081833/1000000000000000000000000000 38665296882696287943062971/200000000000000000000000000 -96663241749498991664196589/500000000000000000000000000 -193326485461935330054850829/1000000000000000000000000000 0/1 56977279078700041/500000000000000000000000000 -56977279078700041/500000000000000000000000000 -88843557305622672202987719/125000000000000000000000000
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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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--- 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 :
19916583787834099772719349/125000000000000000000000000 33687894742900348389342787/500000000000000000000000000 -21376571368692016778794373/1000000000000000000000000000 -169829441214573353422438723/1000000000000000000000000000 -39041781289031805539111049/1000000000000000000000000000 -142409674645773218412837087/1000000000000000000000000000
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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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