#Density : 2359563351867151273937302469/12000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 11, 12, 14}
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 :
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 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 0/1 0/1 0/1 0/1


--- 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 :
5396503823825849000127153/62500000000000000000000000 17441751548678396018478507/125000000000000000000000000 -13350919139856729547602687/62500000000000000000000000 -468966812696009672097177/125000000000000000000000000 -394800444115290620131401/7812500000000000000000000 -146066235629309205184233/125000000000000000000000000
17441751548678396018478507/125000000000000000000000000 3328491957895682299765989/10000000000000000000000000 -43604754262412089621992999/125000000000000000000000000 -46536101608837261731857679/250000000000000000000000000 -113739573422757727790907/3906250000000000000000000 -258625009972564804656579/50000000000000000000000000
-13350919139856729547602687/62500000000000000000000000 -43604754262412089621992999/125000000000000000000000000 16518887346011332267146023/31250000000000000000000000 1921686964336467100749941/125000000000000000000000000 1925693686853795213588867/15625000000000000000000000 375253795153654041133741/125000000000000000000000000
-468966812696009672097177/125000000000000000000000000 -46536101608837261731857679/250000000000000000000000000 1921686964336467100749941/125000000000000000000000000 75556912998933525902515861/250000000000000000000000000 -167863778369555398518023/1953125000000000000000000 1389874126146955121219861/250000000000000000000000000
-394800444115290620131401/7812500000000000000000000 -113739573422757727790907/3906250000000000000000000 1925693686853795213588867/15625000000000000000000000 -167863778369555398518023/1953125000000000000000000 43199953924459389763133/781250000000000000000000 -3607553410740892167857/3906250000000000000000000
-146066235629309205184233/125000000000000000000000000 -258625009972564804656579/50000000000000000000000000 375253795153654041133741/125000000000000000000000000 1389874126146955121219861/250000000000000000000000000 -3607553410740892167857/3906250000000000000000000 5813811349446916778897/50000000000000000000000000


--- 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 :
560945306012760804194886561/1000000000000000000000000000 26166031694995386812977913/25000000000000000000000000 302594282221094946833605709/1000000000000000000000000000 -83455595144599862729008139/250000000000000000000000000 18405989072138759321465497/500000000000000000000000000 559863452772540718722530243/1000000000000000000000000000 131946407141651006014755787/1000000000000000000000000000 -21851299843389506222138671/40000000000000000000000000 -10147276761952922676701279/200000000000000000000000000 -41514951027616944478781337/1000000000000000000000000000 -231455633466175436378570197/250000000000000000000000000 77107992605704531511730417/500000000000000000000000000
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302594282221094946833605709/1000000000000000000000000000 20196609507383799406534963/125000000000000000000000000 72332857559982985830737777/100000000000000000000000000 -863747628701810401463106847/1000000000000000000000000000 830023682965634831244381821/1000000000000000000000000000 317668860880392679925886009/200000000000000000000000000 -241891186096000849729798633/1000000000000000000000000000 -511358095810628147996590159/250000000000000000000000000 46799536823736820211716617/250000000000000000000000000 -250696244842601831296090417/1000000000000000000000000000 -93883752541785535398643837/250000000000000000000000000 559055521744265333340608829/500000000000000000000000000
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77107992605704531511730417/500000000000000000000000000 -7382389710302639316338533/200000000000000000000000000 559055521744265333340608829/500000000000000000000000000 -80220700072900728154253399/100000000000000000000000000 990202071943449380808642509/1000000000000000000000000000 3503251226059243884934873237/1000000000000000000000000000 -966700407606993294831595229/1000000000000000000000000000 -3863837282349764657713137333/1000000000000000000000000000 174639307025120228352201607/200000000000000000000000000 -54335265316900479916882901/40000000000000000000000000 -1069667210715253746027443451/1000000000000000000000000000 575576913178521921456719893/200000000000000000000000000


--- 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 :
121378108116803922409927197/62500000000000000000000000 15234033878815507960368231/15625000000000000000000000 79656288875562791536050393/125000000000000000000000000 -11659920566286433672875249/7812500000000000000000000
15234033878815507960368231/15625000000000000000000000 73560929456563505453070449/7812500000000000000000000 61037878487453098728894533/62500000000000000000000000 -57904566843696309023592163/31250000000000000000000000
79656288875562791536050393/125000000000000000000000000 61037878487453098728894533/62500000000000000000000000 143649179806091050591841087/125000000000000000000000000 111983174723433731087999209/125000000000000000000000000
-11659920566286433672875249/7812500000000000000000000 -57904566843696309023592163/31250000000000000000000000 111983174723433731087999209/125000000000000000000000000 46199742107828314411452089/12500000000000000000000000


--- 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 :
131823259905286551265732479/50000000000000000000000000 192850011115245748411416021/1000000000000000000000000000 1085675040518087494047420153/1000000000000000000000000000 714302480542983780943866459/1000000000000000000000000000 -71939307434749642550736273/40000000000000000000000000 -547498615267218256204754781/500000000000000000000000000 -18590983931526863979619911/100000000000000000000000000 67072516996975882151473593/250000000000000000000000000 2196359448654620693872622973/1000000000000000000000000000 125824177633771032229925043/200000000000000000000000000
192850011115245748411416021/1000000000000000000000000000 59444440774528420436726663/500000000000000000000000000 -111647680510903223153402247/500000000000000000000000000 267951273938715211210455647/1000000000000000000000000000 -1732269896314228079677789/125000000000000000000000000 2138429839145584508433423/62500000000000000000000000 -27106849015620926049244983/100000000000000000000000000 82810849375307280551566231/1000000000000000000000000000 221120909199408207420112307/1000000000000000000000000000 -32381528171049512438162129/125000000000000000000000000
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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 :
7455729110519650515721387137/1000000000000000000000000000 442178623697154608743342953/500000000000000000000000000 -6029606859660510951908673183/1000000000000000000000000000 -1459449253389818927982759981/1000000000000000000000000000 232907790785834996182991067/250000000000000000000000000 -222878931674483685308191497/62500000000000000000000000
442178623697154608743342953/500000000000000000000000000 52759738924299992288931557/250000000000000000000000000 -326949937641521100346584127/500000000000000000000000000 -4628274953802311198943989/500000000000000000000000000 19274374831423642374411473/125000000000000000000000000 -46521243000650135489637/488281250000000000000000
-6029606859660510951908673183/1000000000000000000000000000 -326949937641521100346584127/500000000000000000000000000 9326154134990977398319656497/1000000000000000000000000000 -2299344370325983041645371021/1000000000000000000000000000 -420517018040360205609223753/250000000000000000000000000 269806164334863952621807023/62500000000000000000000000
-1459449253389818927982759981/1000000000000000000000000000 -4628274953802311198943989/500000000000000000000000000 -2299344370325983041645371021/1000000000000000000000000000 3432598740278516370209070953/1000000000000000000000000000 164349521141106726805912129/250000000000000000000000000 12311290642658479842021861/62500000000000000000000000
232907790785834996182991067/250000000000000000000000000 19274374831423642374411473/125000000000000000000000000 -420517018040360205609223753/250000000000000000000000000 164349521141106726805912129/250000000000000000000000000 2660200046094108783046759/7812500000000000000000000 -9053714696179468442878677/15625000000000000000000000
-222878931674483685308191497/62500000000000000000000000 -46521243000650135489637/488281250000000000000000 269806164334863952621807023/62500000000000000000000000 12311290642658479842021861/62500000000000000000000000 -9053714696179468442878677/15625000000000000000000000 95869745283233019895211331/31250000000000000000000000


--- 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 :
118528121187570837094436787/62500000000000000000000000 136504354373308253894408301/250000000000000000000000000 -113389010372476830329575123/50000000000000000000000000 69458442350078347271598549/31250000000000000000000000 -160335376533456347075651169/125000000000000000000000000 189677150485491033629152483/500000000000000000000000000 -142159187536648814975422783/250000000000000000000000000 -57416324550146982878828939/500000000000000000000000000 2232797543753963916431423/50000000000000000000000000
136504354373308253894408301/250000000000000000000000000 64471879845145793000134899/250000000000000000000000000 -26261219551526396392551093/25000000000000000000000000 9255149024082436192909329/12500000000000000000000000 -93031322375196993347722257/125000000000000000000000000 -54831945715540498941924297/250000000000000000000000000 -4234027755217630761708123/125000000000000000000000000 28041355863756887058059457/125000000000000000000000000 1064890983669604300546077/62500000000000000000000000
-113389010372476830329575123/50000000000000000000000000 -26261219551526396392551093/25000000000000000000000000 42813538517444595098267773/10000000000000000000000000 -38182072364838980312573793/12500000000000000000000000 9419514781261474017408733/3125000000000000000000000 84358775643096414822363367/100000000000000000000000000 8364949030786541096963133/50000000000000000000000000 -87895333415347114949678741/100000000000000000000000000 -699080988549356552480551/10000000000000000000000000
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-160335376533456347075651169/125000000000000000000000000 -93031322375196993347722257/125000000000000000000000000 9419514781261474017408733/3125000000000000000000000 -58671548014664435304817317/31250000000000000000000000 5659745892084991207061847/2500000000000000000000000 60436068001560695903216689/62500000000000000000000000 -3092577716012984980880569/31250000000000000000000000 -22022318609659940509519379/25000000000000000000000000 -2860903062798577754769373/62500000000000000000000000
189677150485491033629152483/500000000000000000000000000 -54831945715540498941924297/250000000000000000000000000 84358775643096414822363367/100000000000000000000000000 14593107757002126729634953/125000000000000000000000000 60436068001560695903216689/62500000000000000000000000 1148036072496577705341240693/1000000000000000000000000000 -268737577172536228383621193/500000000000000000000000000 -862917584312358919526256039/1000000000000000000000000000 -471146956552149911373069/100000000000000000000000000
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2232797543753963916431423/50000000000000000000000000 1064890983669604300546077/62500000000000000000000000 -699080988549356552480551/10000000000000000000000000 3531868331297012526032901/62500000000000000000000000 -2860903062798577754769373/62500000000000000000000000 -471146956552149911373069/100000000000000000000000000 -399870404797146045162143/50000000000000000000000000 3992579840794449504422079/500000000000000000000000000 306288679557277663041657/250000000000000000000000000


--- 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 :
130048971053269461244337457/200000000000000000000000000 14041104440998563/40000000000000000000000000 -283454782700768804975122323/500000000000000000000000000 283454782700768804975122323/500000000000000000000000000 566909565505443617996867157/1000000000000000000000000000 130914332556030405830345427/1000000000000000000000000000 763147417258283967/1000000000000000000000000000
14041104440998563/40000000000000000000000000 243606248920957037197923/1600000000000000000000000 2073440017324253070073881/10000000000000000000000000 -2073440017324253070073881/10000000000000000000000000 8293760094071356309296567/40000000000000000000000000 -3286510504209/64000000000000000000000 14214164549686057857418173/40000000000000000000000000
-283454782700768804975122323/500000000000000000000000000 2073440017324253070073881/10000000000000000000000000 388310943283327857448402281/500000000000000000000000000 -388310943283327857448402281/500000000000000000000000000 -105943571407675466095222377/500000000000000000000000000 -1426704626748394155911733/12500000000000000000000000 241966022823119962368916497/500000000000000000000000000
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--- 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 :
3182124967534471751059746411/1000000000000000000000000000 1108003279581271750131978213/250000000000000000000000000 -4649415365397759279103371507/1000000000000000000000000000 1456770558866920357948388121/1000000000000000000000000000 -299027896574058099723455301/250000000000000000000000000 -1241755033811093793146643483/1000000000000000000000000000 -964284172720414120293951/781250000000000000000000 421660110949168041222747333/1000000000000000000000000000 122315407724653956273334443/250000000000000000000000000 109744902834292870323476019/200000000000000000000000000 -113020532886543818696125077/125000000000000000000000000 -264557976493560812873369463/250000000000000000000000000
1108003279581271750131978213/250000000000000000000000000 970892862684598022709305759/100000000000000000000000000 -89671057475470400913647513/10000000000000000000000000 2877645670418225481066823/1250000000000000000000000 -8710951716026492214762567/3125000000000000000000000 -935004628551739954562440037/500000000000000000000000000 -743209441543582187498185427/250000000000000000000000000 159371213211400564664229221/125000000000000000000000000 3447424038744556250776063/3906250000000000000000000 -74333992790315658118908649/250000000000000000000000000 -832216484521303485832349551/250000000000000000000000000 -319586541712653407576598531/125000000000000000000000000
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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 :
55419539543874223002796559/200000000000000000000000000 -219883191613298309664224999/1000000000000000000000000000 669305225966451680631185979/1000000000000000000000000000 3922602286743694179311691/40000000000000000000000000
-219883191613298309664224999/1000000000000000000000000000 403455776829736978316983451/1000000000000000000000000000 -258299003761184577762707591/1000000000000000000000000000 28144430241355808216774821/200000000000000000000000000
669305225966451680631185979/1000000000000000000000000000 -258299003761184577762707591/1000000000000000000000000000 1941686005401691075735593931/1000000000000000000000000000 99448975310067326519589559/200000000000000000000000000
3922602286743694179311691/40000000000000000000000000 28144430241355808216774821/200000000000000000000000000 99448975310067326519589559/200000000000000000000000000 1946281209662547347054783/8000000000000000000000000


--- 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 :
919424022423886505935929/125000000000000000000000000 107015128191943190140467/12500000000000000000000000 176682453644053574943453/125000000000000000000000000 624848319690139289222751/125000000000000000000000000 -6267780386531922263976789/250000000000000000000000000 -9507539126478491524054863/250000000000000000000000000
107015128191943190140467/12500000000000000000000000 12455882577166505245041/1250000000000000000000000 20564717654579996653119/12500000000000000000000000 72728383641614245081173/12500000000000000000000000 -729529906968672846374247/25000000000000000000000000 -1106617288210173841104549/25000000000000000000000000
176682453644053574943453/125000000000000000000000000 20564717654579996653119/12500000000000000000000000 33952440510947579970321/125000000000000000000000000 120074885564953924961307/125000000000000000000000000 -1204457128143190313242473/250000000000000000000000000 -1827030075366693326015691/250000000000000000000000000
624848319690139289222751/125000000000000000000000000 72728383641614245081173/12500000000000000000000000 120074885564953924961307/125000000000000000000000000 424652187779781741284169/125000000000000000000000000 -4259636410615428724133091/250000000000000000000000000 -6461403773099848640507097/250000000000000000000000000
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--- 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 :
171355423299136406559830133/100000000000000000000000000 -171355423299136406559830133/100000000000000000000000000 150869535512568453/250000000000000000000000000 -1090839461334811799879961/4000000000000000000000000 1090839461334811799879961/4000000000000000000000000 -136354933126973617258041183/500000000000000000000000000 0/1 -44569920435609609408018903/500000000000000000000000000 44569920435609609408018903/500000000000000000000000000 8801271265160931/20000000000000000000000000
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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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