#Density : 3911886317570821965132874777/24000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 9, 10, 11, 12}
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 :
1864409450906585896907401/250000000000000000000000000 -4830145984955243473311177/250000000000000000000000000 3190068154341565660116311/250000000000000000000000000 1817961917129475156492877/125000000000000000000000000 -12872064321166627393241561/250000000000000000000000000 8716219139137349603127801/250000000000000000000000000
-4830145984955243473311177/250000000000000000000000000 12513512106814672878262353/250000000000000000000000000 -8264544507610159252514967/250000000000000000000000000 -4709813850353638843398063/125000000000000000000000000 33347798021447671403356497/250000000000000000000000000 -4516240878142139476884393/50000000000000000000000000
3190068154341565660116311/250000000000000000000000000 -8264544507610159252514967/250000000000000000000000000 5458315406197802428894921/250000000000000000000000000 3110594839973084058540467/125000000000000000000000000 -22024541042424556859336071/250000000000000000000000000 14913748205097287697357351/250000000000000000000000000
1817961917129475156492877/125000000000000000000000000 -4709813850353638843398063/125000000000000000000000000 3110594839973084058540467/125000000000000000000000000 4129950168933947291190971/125000000000000000000000000 -13720600293410995056033947/125000000000000000000000000 849907430283192128271201/12500000000000000000000000
-12872064321166627393241561/250000000000000000000000000 33347798021447671403356497/250000000000000000000000000 -22024541042424556859336071/250000000000000000000000000 -13720600293410995056033947/125000000000000000000000000 93546842047546648491166321/250000000000000000000000000 -60177625324311081553897461/250000000000000000000000000
8716219139137349603127801/250000000000000000000000000 -4516240878142139476884393/50000000000000000000000000 14913748205097287697357351/250000000000000000000000000 849907430283192128271201/12500000000000000000000000 -60177625324311081553897461/250000000000000000000000000 40748815151372429847215307/250000000000000000000000000


--- 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 :
479941955239197940803543/4000000000000000000000000 806594235136257355752621/20000000000000000000000000 -208945301869472625271011/4000000000000000000000000 -254920837921056272757003/2500000000000000000000000 790350608478986938417539/20000000000000000000000000 -2974865700166185611409651/20000000000000000000000000
806594235136257355752621/20000000000000000000000000 1355568632941862302189887/100000000000000000000000000 -351155122212072695807217/20000000000000000000000000 -428421970695915844307241/12500000000000000000000000 1328269465872940293639633/100000000000000000000000000 -4999582757591470180251297/100000000000000000000000000
-208945301869472625271011/4000000000000000000000000 -351155122212072695807217/20000000000000000000000000 90965456753132346209247/4000000000000000000000000 110981152722286060891431/2500000000000000000000000 -344083372309176976079103/20000000000000000000000000 1295123722685533431220527/20000000000000000000000000
-254920837921056272757003/2500000000000000000000000 -428421970695915844307241/12500000000000000000000000 110981152722286060891431/2500000000000000000000000 135401026930404104751663/1562500000000000000000000 -419794179620046198178119/12500000000000000000000000 1580097861232026765050871/12500000000000000000000000
790350608478986938417539/20000000000000000000000000 1328269465872940293639633/100000000000000000000000000 -344083372309176976079103/20000000000000000000000000 -419794179620046198178119/12500000000000000000000000 1301520064049795315350047/100000000000000000000000000 -4898898482625478915871823/100000000000000000000000000
-2974865700166185611409651/20000000000000000000000000 -4999582757591470180251297/100000000000000000000000000 1295123722685533431220527/20000000000000000000000000 1580097861232026765050871/12500000000000000000000000 -4898898482625478915871823/100000000000000000000000000 18439367172254384581019007/100000000000000000000000000


--- 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 :
8370679/1000000000


--- 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 :
27845329555048536020419467/25000000000000000000000000 194762569815314903600672587/250000000000000000000000000 27919731558345598875026499/62500000000000000000000000 387621856358696996558784957/1000000000000000000000000000 3725284401067848188502527/31250000000000000000000000 -40473769855915848798007129/500000000000000000000000000 -65093989921825010760910873/1000000000000000000000000000 -1273151700119934262635645141/1000000000000000000000000000 -15337083974253120719700917/20000000000000000000000000 136842090237427379339070447/1000000000000000000000000000 -305250876365498529144364911/200000000000000000000000000 -26743000307817056046061611/31250000000000000000000000
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27919731558345598875026499/62500000000000000000000000 330395168691870869178227349/500000000000000000000000000 393025721936089532408091081/500000000000000000000000000 4479891825040411485044937/6250000000000000000000000 202889590657339321230325467/500000000000000000000000000 5407972026928151876427139/12500000000000000000000000 -170740129791718446001435687/125000000000000000000000000 -5362422955406911692940401/3906250000000000000000000 -800185996900578865376470901/500000000000000000000000000 37532206543036917626083651/100000000000000000000000000 -200212418556323235863331719/125000000000000000000000000 -13707810165323458482401123/31250000000000000000000000
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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 :
3796547205384183692292129/20000000000000000000000000 15956536603758750981359677/125000000000000000000000000 41380866171751990995444701/500000000000000000000000000 23138647786069289927769923/500000000000000000000000000
15956536603758750981359677/125000000000000000000000000 536510774897799315368599/6250000000000000000000000 347839902966772511064211/6250000000000000000000000 3889983832954627648822907/125000000000000000000000000
41380866171751990995444701/500000000000000000000000000 347839902966772511064211/6250000000000000000000000 7216561754621641068611151/200000000000000000000000000 10088084913335300573443281/500000000000000000000000000
23138647786069289927769923/500000000000000000000000000 3889983832954627648822907/125000000000000000000000000 10088084913335300573443281/500000000000000000000000000 784903800715122767598214041/500000000000000000000000000


--- 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 :
44490746384670763093206589/12500000000000000000000000 929471135192758370438989529/250000000000000000000000000 53747798646974840164927243/15625000000000000000000000 -443861787165821090878457203/125000000000000000000000000 76472159985836718554495703/250000000000000000000000000 -831145391977612395958216059/250000000000000000000000000 91418825598492472780751339/250000000000000000000000000 -220194467103222276831431559/250000000000000000000000000 -232648250663244986791099203/250000000000000000000000000 -182496273560927173527517913/250000000000000000000000000
929471135192758370438989529/250000000000000000000000000 3883578772480096683781638657/1000000000000000000000000000 1796581320190326859025551473/500000000000000000000000000 -148365852303290895028992241/40000000000000000000000000 159760559556780726212230311/500000000000000000000000000 -3472747543106331741291471037/1000000000000000000000000000 381972281674726588225784487/1000000000000000000000000000 -3593872355712233795674829/3906250000000000000000000 -972066558582754450418855607/1000000000000000000000000000 -190629549219663424641938599/250000000000000000000000000
53747798646974840164927243/15625000000000000000000000 1796581320190326859025551473/500000000000000000000000000 415557998067278771017030357/125000000000000000000000000 -428971791255805338826232281/125000000000000000000000000 147813577973167266703963469/500000000000000000000000000 -1606526796853755004666797233/500000000000000000000000000 22088011688711605937999841/62500000000000000000000000 -85123088050468966305863499/100000000000000000000000000 -449687446462913747379236969/500000000000000000000000000 -176374167884143271434065989/250000000000000000000000000
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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 :
43770797037298473283269407/1000000000000000000000000000 -30908648879613314812936027/250000000000000000000000000 3695898754984503740458879/500000000000000000000000000 -139366229832509307873781663/500000000000000000000000000 -83926655963713669884950561/1000000000000000000000000000 -15007536505373330536645997/1000000000000000000000000000
-30908648879613314812936027/250000000000000000000000000 2687072093072412295070986157/1000000000000000000000000000 -20609049005833731769903337/1000000000000000000000000000 1562580059401964952775728387/500000000000000000000000000 434148855882228807015805047/500000000000000000000000000 691493477690069053628340073/1000000000000000000000000000
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-139366229832509307873781663/500000000000000000000000000 1562580059401964952775728387/500000000000000000000000000 -23400608215834516191145667/500000000000000000000000000 4112823411404088870304524663/1000000000000000000000000000 1165684236228122579649284283/1000000000000000000000000000 186167832295730513757543079/250000000000000000000000000
-83926655963713669884950561/1000000000000000000000000000 434148855882228807015805047/500000000000000000000000000 -4082591528166297583835231/125000000000000000000000000 1165684236228122579649284283/1000000000000000000000000000 429403239018801524366375873/500000000000000000000000000 200198327708923501047504881/1000000000000000000000000000
-15007536505373330536645997/1000000000000000000000000000 691493477690069053628340073/1000000000000000000000000000 93353930223973688523496407/1000000000000000000000000000 186167832295730513757543079/250000000000000000000000000 200198327708923501047504881/1000000000000000000000000000 247210265361942607786647621/500000000000000000000000000


--- 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 :
82740198534080192399328421/200000000000000000000000000 239378322820973456823151043/500000000000000000000000000 -25745565316620383677851793/100000000000000000000000000 -88313317162817361423206001/200000000000000000000000000 -206836291039600829442717863/200000000000000000000000000 56311175753060908952643083/500000000000000000000000000 167313798750584832261638339/500000000000000000000000000 -8522080267367929400454241/50000000000000000000000000 -52762603928471952840782273/50000000000000000000000000
239378322820973456823151043/500000000000000000000000000 554340357030441312747394501/1000000000000000000000000000 -295327414732062394857560113/1000000000000000000000000000 -254977575021713985015187351/500000000000000000000000000 -1191929683054949775089571433/1000000000000000000000000000 32068882491304579222541969/250000000000000000000000000 24048699323611680811746517/62500000000000000000000000 -98076802694342727826089633/500000000000000000000000000 -608433610609939778892695251/500000000000000000000000000
-25745565316620383677851793/100000000000000000000000000 -295327414732062394857560113/1000000000000000000000000000 183157600367800738843299773/1000000000000000000000000000 28400243832743925311957613/100000000000000000000000000 686415202803890553309531137/1000000000000000000000000000 -22034488874198536751630119/250000000000000000000000000 -28739628006204100580807899/125000000000000000000000000 57819174499914311683293037/500000000000000000000000000 347335455408157056076501767/500000000000000000000000000
-88313317162817361423206001/200000000000000000000000000 -254977575021713985015187351/500000000000000000000000000 28400243832743925311957613/100000000000000000000000000 19000141718372290419567819/40000000000000000000000000 224205169157938301624797491/200000000000000000000000000 -15931561243371679310279359/125000000000000000000000000 -45733021412734928494538067/125000000000000000000000000 18576221520749455590281479/100000000000000000000000000 57078321728240581152032567/50000000000000000000000000
-206836291039600829442717863/200000000000000000000000000 -1191929683054949775089571433/1000000000000000000000000000 686415202803890553309531137/1000000000000000000000000000 224205169157938301624797491/200000000000000000000000000 1332607830432786741292564369/500000000000000000000000000 -31523430222854883893477401/100000000000000000000000000 -438483759014222538243786943/500000000000000000000000000 221969020475408847181452133/500000000000000000000000000 1354410599950432618741834143/500000000000000000000000000
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-8522080267367929400454241/50000000000000000000000000 -98076802694342727826089633/500000000000000000000000000 57819174499914311683293037/500000000000000000000000000 18576221520749455590281479/100000000000000000000000000 221969020475408847181452133/500000000000000000000000000 -1078592690166278436382489/20000000000000000000000000 -73452133520108937184431781/500000000000000000000000000 37106175267365574614188531/500000000000000000000000000 112648193471719764322726473/250000000000000000000000000
-52762603928471952840782273/50000000000000000000000000 -608433610609939778892695251/500000000000000000000000000 347335455408157056076501767/500000000000000000000000000 57078321728240581152032567/50000000000000000000000000 1354410599950432618741834143/500000000000000000000000000 -9910878409873625669646863/31250000000000000000000000 -22235548154852364927140037/25000000000000000000000000 112648193471719764322726473/250000000000000000000000000 688632101793354061146619293/250000000000000000000000000


--- 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 :
19452303701996761148806871/250000000000000000000000000 266968195569267283/125000000000000000000000000 -11910339397102390565334257/250000000000000000000000000 11910339397102390565334257/250000000000000000000000000 11910340390151775961979903/250000000000000000000000000 -512826677660723554274983/250000000000000000000000000 2401015265637289/1000000000000000000000000
266968195569267283/125000000000000000000000000 824664522171264093066445171/500000000000000000000000000 334608199458258307400016277/250000000000000000000000000 -334608199458258307400016277/250000000000000000000000000 669216399579466819023560611/500000000000000000000000000 -330673920538496069/125000000000000000000000000 414107324773657471516129423/250000000000000000000000000
-11910339397102390565334257/250000000000000000000000000 334608199458258307400016277/250000000000000000000000000 314878981223653156033157759/250000000000000000000000000 -314878981223653156033157759/250000000000000000000000000 18768372099708800495255743/15625000000000000000000000 31399510219650704278561/25000000000000000000000000 380665534482779149329005627/250000000000000000000000000
11910339397102390565334257/250000000000000000000000000 -334608199458258307400016277/250000000000000000000000000 -314878981223653156033157759/250000000000000000000000000 314878981223653156033157759/250000000000000000000000000 -18768372099708800495255743/15625000000000000000000000 -31399510219650704278561/25000000000000000000000000 -380665534482779149329005627/250000000000000000000000000
11910340390151775961979903/250000000000000000000000000 669216399579466819023560611/500000000000000000000000000 18768372099708800495255743/15625000000000000000000000 -18768372099708800495255743/15625000000000000000000000 629757963647267892797886357/500000000000000000000000000 -15699816812018961789041/12500000000000000000000000 38066553483660659033342323/25000000000000000000000000
-512826677660723554274983/250000000000000000000000000 -330673920538496069/125000000000000000000000000 31399510219650704278561/25000000000000000000000000 -31399510219650704278561/25000000000000000000000000 -15699816812018961789041/12500000000000000000000000 238658212372287626937701767/500000000000000000000000000 -1289686413949024777/500000000000000000000000000
2401015265637289/1000000000000000000000000 414107324773657471516129423/250000000000000000000000000 380665534482779149329005627/250000000000000000000000000 -380665534482779149329005627/250000000000000000000000000 38066553483660659033342323/25000000000000000000000000 -1289686413949024777/500000000000000000000000000 942214723732750888000745317/500000000000000000000000000


--- 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 :
6793832968661792534524968781/250000000000000000000000000 -1482588043949001088360470307/62500000000000000000000000 -282898343405870571907125251/250000000000000000000000000 -88015022869359437731017983/100000000000000000000000000 -292901116251401148173686569/500000000000000000000000000 -342517504204783943806206409/500000000000000000000000000 546582988569025469264659137/500000000000000000000000000 888174395639405184469970351/500000000000000000000000000 12511775566748004945358201/15625000000000000000000000 53055523541196711817078417/50000000000000000000000000 27780817021518921883903781/62500000000000000000000000 111377365332247510245854087/100000000000000000000000000
-1482588043949001088360470307/62500000000000000000000000 5503860164111100771850791969/250000000000000000000000000 172123095041882277412976889/100000000000000000000000000 675390885227842315821387907/500000000000000000000000000 389387949242981689392831527/250000000000000000000000000 257617444850516276883234117/500000000000000000000000000 -1562288628817713405947641737/500000000000000000000000000 -272293940114553314634912233/100000000000000000000000000 -8891431401126172994458197/12500000000000000000000000 -895530986978418919396063583/500000000000000000000000000 -4984195888939580185836171/25000000000000000000000000 -76455721655272963802324013/500000000000000000000000000
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111377365332247510245854087/100000000000000000000000000 -76455721655272963802324013/500000000000000000000000000 175802333142139387300540337/500000000000000000000000000 147764089406123202218119989/500000000000000000000000000 156844784369351836586027559/250000000000000000000000000 388222391263680652983710741/1000000000000000000000000000 -1803999428234433785536750677/1000000000000000000000000000 -1146269398275351903190441453/1000000000000000000000000000 81825991568729216265649059/1000000000000000000000000000 -224459627034267207120458897/500000000000000000000000000 78006173063988607886726051/500000000000000000000000000 919098523205266316265117283/1000000000000000000000000000


--- 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 :
329822592685825383418972417/250000000000000000000000000 -6822726910158094190615057/250000000000000000000000000 8337740984679012074050907/25000000000000000000000000 114424578262004352544373123/250000000000000000000000000
-6822726910158094190615057/250000000000000000000000000 204277351885469993121574869/250000000000000000000000000 7343179203226955539153921/62500000000000000000000000 71519206273216213739437113/250000000000000000000000000
8337740984679012074050907/25000000000000000000000000 7343179203226955539153921/62500000000000000000000000 367656431029952754278547771/250000000000000000000000000 47796704970383781629557581/31250000000000000000000000
114424578262004352544373123/250000000000000000000000000 71519206273216213739437113/250000000000000000000000000 47796704970383781629557581/31250000000000000000000000 478882814485794422393438589/250000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 9158101079911557237205789/200000000000000000000000000 0/1 0/1 -17764232405504445064186451/1000000000000000000000000000 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 -17764232405504445064186451/1000000000000000000000000000 0/1 0/1 4346663915533633654126381/200000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- 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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