#Density : 4051921225040449314057880237/24000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 10, 11, 12, 13, 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 :
18381321751386348500477421/62500000000000000000000000 -19619567344654925160002829/25000000000000000000000000 7870178501896896358861293/25000000000000000000000000 14288107394515917326696061/62500000000000000000000000 49510664434345648702212873/250000000000000000000000000 73709410017340662213723/500000000000000000000000
-19619567344654925160002829/25000000000000000000000000 20941226534072179705829421/10000000000000000000000000 -8400347876004931913586957/10000000000000000000000000 -15250616307460283058444189/25000000000000000000000000 -52845917626951557085630377/100000000000000000000000000 -78674795715434707092027/200000000000000000000000
7870178501896896358861293/25000000000000000000000000 -8400347876004931913586957/10000000000000000000000000 3369709234704434926693869/10000000000000000000000000 6117620765798960837452413/25000000000000000000000000 21198571686849982755168009/100000000000000000000000000 31559548434661706836059/200000000000000000000000
14288107394515917326696061/62500000000000000000000000 -15250616307460283058444189/25000000000000000000000000 6117620765798960837452413/25000000000000000000000000 11106383734446252056972301/62500000000000000000000000 38485463677736669592431193/250000000000000000000000000 57295551460260965396043/500000000000000000000000
49510664434345648702212873/250000000000000000000000000 -52845917626951557085630377/100000000000000000000000000 21198571686849982755168009/100000000000000000000000000 38485463677736669592431193/250000000000000000000000000 133358521540786246658610549/1000000000000000000000000000 198538598822302075261599/2000000000000000000000000
73709410017340662213723/500000000000000000000000 -78674795715434707092027/200000000000000000000000 31559548434661706836059/200000000000000000000000 57295551460260965396043/500000000000000000000000 198538598822302075261599/2000000000000000000000000 295575976449825685149/4000000000000000000000


--- 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 :
10416657035488712988243807/62500000000000000000000000 -440195490764494561788249/31250000000000000000000000 -6341775666632253015924603/31250000000000000000000000 -12318381852314309465226567/250000000000000000000000000 107999588696104338303681/15625000000000000000000000 141988210761043989290067/7812500000000000000000000
-440195490764494561788249/31250000000000000000000000 18602135927988063168943/15625000000000000000000000 267995868768712054798621/15625000000000000000000000 520560111217056743355569/125000000000000000000000000 -4563933686832260658567/7812500000000000000000000 -6000252279189860600069/3906250000000000000000000
-6341775666632253015924603/31250000000000000000000000 267995868768712054798621/15625000000000000000000000 3860942955966492965105287/15625000000000000000000000 7499566705243463165680643/125000000000000000000000000 -65751340498762297325349/7812500000000000000000000 -86443988401005686622143/3906250000000000000000000
-12318381852314309465226567/250000000000000000000000000 520560111217056743355569/125000000000000000000000000 7499566705243463165680643/125000000000000000000000000 14567296488926525450406127/1000000000000000000000000000 -127716614737242767308761/62500000000000000000000000 -167910395122206654649627/31250000000000000000000000
107999588696104338303681/15625000000000000000000000 -4563933686832260658567/7812500000000000000000000 -65751340498762297325349/7812500000000000000000000 -127716614737242767308761/62500000000000000000000000 1119736506519289294623/3906250000000000000000000 1472129523862074429261/1953125000000000000000000
141988210761043989290067/7812500000000000000000000 -6000252279189860600069/3906250000000000000000000 -86443988401005686622143/3906250000000000000000000 -167910395122206654649627/31250000000000000000000000 1472129523862074429261/1953125000000000000000000 1935424381011770643127/976562500000000000000000


--- 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 :
1297820530529282715441655343/1000000000000000000000000000 91766769253281564302000513/200000000000000000000000000 172225474423699750145000991/200000000000000000000000000 161073939938726936674949089/250000000000000000000000000 28697471233021633564831041/100000000000000000000000000 229314386570480066919397963/1000000000000000000000000000 -980051415922320347268430227/500000000000000000000000000 -582929010244886958282810663/1000000000000000000000000000 1783559814628418323914048589/1000000000000000000000000000 -1724438265151212065162234407/1000000000000000000000000000 196857689855666614125311547/1000000000000000000000000000 128265220115916732493610001/200000000000000000000000000
91766769253281564302000513/200000000000000000000000000 338703218229753716675132889/1000000000000000000000000000 414524612617172364570615541/1000000000000000000000000000 54335138901793940118000847/500000000000000000000000000 99408525026954722753412243/500000000000000000000000000 -81902158685730298740468863/200000000000000000000000000 -82246535709173346253997109/62500000000000000000000000 -15278254130918583267259659/200000000000000000000000000 878573943474544779868818673/1000000000000000000000000000 -148253047544762659892376869/200000000000000000000000000 336866467684478857910967137/1000000000000000000000000000 36909816347922146612189901/200000000000000000000000000
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128265220115916732493610001/200000000000000000000000000 36909816347922146612189901/200000000000000000000000000 399232206834671593504561053/1000000000000000000000000000 173794091525803816058057547/500000000000000000000000000 2372302176417093585729039/20000000000000000000000000 230416290160648314399097809/1000000000000000000000000000 -12805556953815611906952987/15625000000000000000000000 -64071253457411940872237907/200000000000000000000000000 821291616324014411499920121/1000000000000000000000000000 -820735537237743885370542309/1000000000000000000000000000 33264837092610550497192657/1000000000000000000000000000 327028186985035067946595989/1000000000000000000000000000


--- 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 :
51952456701560992520424237/100000000000000000000000000 27808159857111334542507063/100000000000000000000000000 384509467063686681854832159/500000000000000000000000000 1676992486522761479750277/250000000000000000000000000
27808159857111334542507063/100000000000000000000000000 222915093556696618395374689/1000000000000000000000000000 -188747362725151785790957/50000000000000000000000000 -18902454095840615964982779/200000000000000000000000000
384509467063686681854832159/500000000000000000000000000 -188747362725151785790957/50000000000000000000000000 1979693573165256946229699647/500000000000000000000000000 320702768531201896321240857/500000000000000000000000000
1676992486522761479750277/250000000000000000000000000 -18902454095840615964982779/200000000000000000000000000 320702768531201896321240857/500000000000000000000000000 143468868123829783984906959/1000000000000000000000000000


--- 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 :
8656669191167435980881079407/1000000000000000000000000000 1614555079068951635490859187/250000000000000000000000000 255994308677163043818557497/40000000000000000000000000 -307508654734278361746902507/500000000000000000000000000 -30390537878366379233654231/7812500000000000000000000 -64865397310937987059547143/100000000000000000000000000 -5103717545311030191849468413/1000000000000000000000000000 -1226937829593069998366305703/250000000000000000000000000 -142027496089464552538017123/50000000000000000000000000 -769655589745476185725071309/1000000000000000000000000000
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--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

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

Basis :
B1 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
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-8365000460015782924438293/125000000000000000000000000 103406559925406014593251103/125000000000000000000000000 41073981677329474033251819/125000000000000000000000000 6467706090396360537412041/6250000000000000000000000 1603534108736493228810921/6250000000000000000000000 5225690687120225390152077/15625000000000000000000000


--- 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 :
4804007436534052824633629/31250000000000000000000000 3749125099152598122586489/31250000000000000000000000 2435167324627989994511259/62500000000000000000000000 1671246377533005408606737/7812500000000000000000000 -329306122017567251367339/2500000000000000000000000 -12233841562376786959917267/62500000000000000000000000 462413215528618394555249/62500000000000000000000000 926279866005463155877747/62500000000000000000000000 -6745886621774786848514739/125000000000000000000000000
3749125099152598122586489/31250000000000000000000000 5863322835143739420654167/62500000000000000000000000 9544709204526908750103263/250000000000000000000000000 41477989304546412267650029/250000000000000000000000000 -12212870644204723403140319/125000000000000000000000000 -38037359572593329411712433/250000000000000000000000000 71016087461299431173423/12500000000000000000000000 1980984106808320158475411/250000000000000000000000000 -12500111617990770646663147/250000000000000000000000000
2435167324627989994511259/62500000000000000000000000 9544709204526908750103263/250000000000000000000000000 336230644507625005531115413/1000000000000000000000000000 10784925105737233666336483/1000000000000000000000000000 90291224654383519696660013/500000000000000000000000000 -23980097456454991952074691/1000000000000000000000000000 -7882443218926449950661/3906250000000000000000000 -29837888281754772435393907/200000000000000000000000000 -344733391504865211674135303/1000000000000000000000000000
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--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 7

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

Basis :
B1 : (F7)-(F1)
B2 : (F4)-(F2)
B3 : (F5)-(F3)
B4 : (F8)-(F3)
B5 : (F10)-(F3)
B6 : (F12)-(F6)
B7 : (F11)-(F9)

Matrix :
41791002935146544047842541/500000000000000000000000000 -49376483302064211/500000000000000000000000000 -129885069285817645817325451/500000000000000000000000000 129885070169299400104792413/500000000000000000000000000 129885069215356944846927139/500000000000000000000000000 101308981019199619734066259/500000000000000000000000000 9748315967537631/50000000000000000000000000
-49376483302064211/500000000000000000000000000 3041400840649865877959469/100000000000000000000000000 86781340390620159852058059/500000000000000000000000000 -86781339771277253214978111/500000000000000000000000000 86781339512312748522445149/500000000000000000000000000 -167091683422360983/500000000000000000000000000 11437078580955658275514149/250000000000000000000000000
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9748315967537631/50000000000000000000000000 11437078580955658275514149/250000000000000000000000000 13053524432412025590642191/50000000000000000000000000 -65267621800792788248755289/250000000000000000000000000 32633811069917493159711407/125000000000000000000000000 82513664503396313/250000000000000000000000000 215043615295057252592837/3125000000000000000000000


--- 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 :
79292223645239749400520027/31250000000000000000000000 281458570880752283508023003/100000000000000000000000000 -716805194617227345006783021/250000000000000000000000000 3608045307938426590098106943/1000000000000000000000000000 -229446593599483379580610333/100000000000000000000000000 245282285602403733981214931/500000000000000000000000000 148356593830921639767667893/200000000000000000000000000 517711431556959392596836097/1000000000000000000000000000 -5627243580106740373121803/10000000000000000000000000 -97971478601732439204328617/200000000000000000000000000 -65059992783262604247142487/125000000000000000000000000 -1385327615754204309287546881/1000000000000000000000000000
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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 :
1845965121644474166440766727/125000000000000000000000000 -2244605428153524746781658469/250000000000000000000000000 673970057442572483751067453/250000000000000000000000000 19729599523763033681545207/10000000000000000000000000
-2244605428153524746781658469/250000000000000000000000000 3275063990851837399152398623/500000000000000000000000000 -142672467615271933365284231/500000000000000000000000000 -49876607207793419999521609/100000000000000000000000000
673970057442572483751067453/250000000000000000000000000 -142672467615271933365284231/500000000000000000000000000 1085524003388034024423558187/500000000000000000000000000 122926912022935190887647497/100000000000000000000000000
19729599523763033681545207/10000000000000000000000000 -49876607207793419999521609/100000000000000000000000000 122926912022935190887647497/100000000000000000000000000 71348356801500412930781051/100000000000000000000000000


--- 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 :
134284561147101380011095911/500000000000000000000000000 -10020017951699248972356941/100000000000000000000000000 2945288195255539126185157/62500000000000000000000000 -3263199973215416127108523/7812500000000000000000000 -41399536920638446923817031/500000000000000000000000000 19959228908165318468528811/125000000000000000000000000
-10020017951699248972356941/100000000000000000000000000 37384956816340328269212117/1000000000000000000000000000 -17492681607827716357216093/1000000000000000000000000000 77916718729498193533853753/500000000000000000000000000 30746363113597366172219611/1000000000000000000000000000 -59570110013339712244367889/1000000000000000000000000000
2945288195255539126185157/62500000000000000000000000 -17492681607827716357216093/1000000000000000000000000000 65838352118082221578495413/1000000000000000000000000000 -36708112884464397231312121/500000000000000000000000000 -23922293740565603973598239/1000000000000000000000000000 28175038880084015272442313/1000000000000000000000000000
-3263199973215416127108523/7812500000000000000000000 77916718729498193533853753/500000000000000000000000000 -36708112884464397231312121/500000000000000000000000000 32480528446372809080432777/50000000000000000000000000 12897805622868685227399719/100000000000000000000000000 -124167337261858765366938621/500000000000000000000000000
-41399536920638446923817031/500000000000000000000000000 30746363113597366172219611/1000000000000000000000000000 -23922293740565603973598239/1000000000000000000000000000 12897805622868685227399719/100000000000000000000000000 40839084201379479411714381/1000000000000000000000000000 -49484181568940832563406123/1000000000000000000000000000
19959228908165318468528811/125000000000000000000000000 -59570110013339712244367889/1000000000000000000000000000 28175038880084015272442313/1000000000000000000000000000 -124167337261858765366938621/500000000000000000000000000 -49484181568940832563406123/1000000000000000000000000000 94936054067280442025746989/1000000000000000000000000000


--- 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 :
3370975973357871311692497379/1000000000000000000000000000 -3370975973357871311692497379/1000000000000000000000000000 -962898347622594151/1000000000000000000000000000 -333359121598827439307620461/1000000000000000000000000000 333359125396462997450619623/1000000000000000000000000000 -33335912662103006868607009/100000000000000000000000000 0/1 -676790114297098961205307719/1000000000000000000000000000 676790114297098961205307719/1000000000000000000000000000 803037783870482489/500000000000000000000000000
-3370975973357871311692497379/1000000000000000000000000000 3370975973357871311692497379/1000000000000000000000000000 962898347622594151/1000000000000000000000000000 333359121598827439307620461/1000000000000000000000000000 -333359125396462997450619623/1000000000000000000000000000 33335912662103006868607009/100000000000000000000000000 0/1 676790114297098961205307719/1000000000000000000000000000 -676790114297098961205307719/1000000000000000000000000000 -803037783870482489/500000000000000000000000000
-962898347622594151/1000000000000000000000000000 962898347622594151/1000000000000000000000000000 674195193748560434250973879/200000000000000000000000000 -66671824799768960159052027/200000000000000000000000000 333359124763722196003663827/1000000000000000000000000000 41669890480780294582340153/125000000000000000000000000 0/1 -935441407861716737/500000000000000000000000000 935441407861716737/500000000000000000000000000 -84598764217625401970126619/125000000000000000000000000
-333359121598827439307620461/1000000000000000000000000000 333359121598827439307620461/1000000000000000000000000000 -66671824799768960159052027/200000000000000000000000000 869730184956980796738346557/500000000000000000000000000 -19787518429778564784822349/20000000000000000000000000 -187521113028471679217106881/500000000000000000000000000 0/1 5698783585734066122937493/500000000000000000000000000 -5698783585734066122937493/500000000000000000000000000 1823610571496015680307/160000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-676790114297098961205307719/1000000000000000000000000000 676790114297098961205307719/1000000000000000000000000000 -935441407861716737/500000000000000000000000000 5698783585734066122937493/500000000000000000000000000 -5698784131164702227495317/500000000000000000000000000 2849391840538729661102249/250000000000000000000000000 0/1 236921980922265281628770859/1000000000000000000000000000 -236921980922265281628770859/1000000000000000000000000000 22039969593280201/200000000000000000000000000
676790114297098961205307719/1000000000000000000000000000 -676790114297098961205307719/1000000000000000000000000000 935441407861716737/500000000000000000000000000 -5698783585734066122937493/500000000000000000000000000 5698784131164702227495317/500000000000000000000000000 -2849391840538729661102249/250000000000000000000000000 0/1 -236921980922265281628770859/1000000000000000000000000000 236921980922265281628770859/1000000000000000000000000000 -22039969593280201/200000000000000000000000000
803037783870482489/500000000000000000000000000 -803037783870482489/500000000000000000000000000 -84598764217625401970126619/125000000000000000000000000 1823610571496015680307/160000000000000000000000 -11397566431279998381032251/1000000000000000000000000000 -11397566352300894735186169/1000000000000000000000000000 0/1 22039969593280201/200000000000000000000000000 -22039969593280201/200000000000000000000000000 236921980498890828999931807/1000000000000000000000000000


--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

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

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

Matrix :
21635356023151249358529/10000000000000000000000000 157312504162967017315077/20000000000000000000000000 -562720193922202839677583/100000000000000000000000000 -107231693966727829456419/20000000000000000000000000 -439090945313134315514247/100000000000000000000000000 5475834338005750828923/50000000000000000000000000
157312504162967017315077/20000000000000000000000000 1143832527624799105760601/40000000000000000000000000 -4091586140493681291011979/200000000000000000000000000 -779690719463643796609647/40000000000000000000000000 -3192667413865495235315811/200000000000000000000000000 39815254769622211311399/100000000000000000000000000
-562720193922202839677583/100000000000000000000000000 -4091586140493681291011979/200000000000000000000000000 14635951278499924478231841/1000000000000000000000000000 2789019952294480204913613/200000000000000000000000000 11420442614010732680518569/1000000000000000000000000000 -142422549334117421676021/500000000000000000000000000
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5475834338005750828923/50000000000000000000000000 39815254769622211311399/100000000000000000000000000 -142422549334117421676021/500000000000000000000000000 -27139973630071446574353/100000000000000000000000000 -111132410914810554876189/500000000000000000000000000 1385914873099255616601/250000000000000000000000000


--- 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 :
2562843031726039569216387/10000000000000000000000000 -2562843031726039569216387/10000000000000000000000000 -4085829272951397/20000000000000000000000000 10890282532653517097917377/100000000000000000000000000 -10890282532653517097917377/100000000000000000000000000 2178056498866672948426629/20000000000000000000000000 0/1 10084392195567091573256001/100000000000000000000000000 -10084392195567091573256001/100000000000000000000000000 -3141531277174989/10000000000000000000000000
-2562843031726039569216387/10000000000000000000000000 2562843031726039569216387/10000000000000000000000000 4085829272951397/20000000000000000000000000 -10890282532653517097917377/100000000000000000000000000 10890282532653517097917377/100000000000000000000000000 -2178056498866672948426629/20000000000000000000000000 0/1 -10084392195567091573256001/100000000000000000000000000 10084392195567091573256001/100000000000000000000000000 3141531277174989/10000000000000000000000000
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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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-3141531277174989/10000000000000000000000000 3141531277174989/10000000000000000000000000 2016878440355265186905159/20000000000000000000000000 4285158259028214302206181/100000000000000000000000000 -4285158259028214302206181/100000000000000000000000000 -857031655923851733243163/20000000000000000000000000 0/1 -11428976811653097/100000000000000000000000000 11428976811653097/100000000000000000000000000 396805285729862966562583/10000000000000000000000000

