#Density : 631790605543707242299301993/3000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {11, 12, 13, 14, 15}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
356699153444525688532201/2000000000000000000000000 474627939369302856059/62500000000000000000000 287223278650709235602147/2000000000000000000000000 -416397643175372974861371/2500000000000000000000000 278978574711168462403139/2000000000000000000000000 -1479360614650965215578463/10000000000000000000000000
474627939369302856059/62500000000000000000000 631545319506863281/1953125000000000000000 382182552351031908073/62500000000000000000000 -554063426924554831089/78125000000000000000000 371212055775006837001/62500000000000000000000 -1968454013236371629917/312500000000000000000000
287223278650709235602147/2000000000000000000000000 382182552351031908073/62500000000000000000000 231279527866031328659809/2000000000000000000000000 -335294028988658511652137/2500000000000000000000000 224640681448394385416833/2000000000000000000000000 -1191218992093460976535861/10000000000000000000000000
-416397643175372974861371/2500000000000000000000000 -554063426924554831089/78125000000000000000000 -335294028988658511652137/2500000000000000000000000 486087492968975057499441/3125000000000000000000000 -325669460901093910781769/2500000000000000000000000 1726951879191758501782173/12500000000000000000000000
278978574711168462403139/2000000000000000000000000 371212055775006837001/62500000000000000000000 224640681448394385416833/2000000000000000000000000 -325669460901093910781769/2500000000000000000000000 218192402186284069257121/2000000000000000000000000 -1157025217956816862879957/10000000000000000000000000
-1479360614650965215578463/10000000000000000000000000 -1968454013236371629917/312500000000000000000000 -1191218992093460976535861/10000000000000000000000000 1726951879191758501782173/12500000000000000000000000 -1157025217956816862879957/10000000000000000000000000 6135444413161022970620569/50000000000000000000000000


--- 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 :
281888252281981696711/1562500000000000000000 -4976871312587064814931/625000000000000000000000 -13713991341562746042533/39062500000000000000000 -162176336957209668604027/625000000000000000000000 28367889377659302466383/312500000000000000000000 7503509550375965924289/39062500000000000000000
-4976871312587064814931/625000000000000000000000 87869032716108489977551/250000000000000000000000000 242127046928566680045193/15625000000000000000000000 2863300447779540220172567/250000000000000000000000000 -500848594077222379346043/125000000000000000000000000 -132478033840278059226069/15625000000000000000000000
-13713991341562746042533/39062500000000000000000 242127046928566680045193/15625000000000000000000000 667191899605387113144799/976562500000000000000000 7889952358187362918698881/15625000000000000000000000 -1380110686253301245756349/7812500000000000000000000 -365049143311769493220467/976562500000000000000000
-162176336957209668604027/625000000000000000000000 2863300447779540220172567/250000000000000000000000000 7889952358187362918698881/15625000000000000000000000 93303513204049836137995039/250000000000000000000000000 -16320653128438990284383331/125000000000000000000000000 -4316929433391634852292973/15625000000000000000000000
28367889377659302466383/312500000000000000000000 -500848594077222379346043/125000000000000000000000000 -1380110686253301245756349/7812500000000000000000000 -16320653128438990284383331/125000000000000000000000000 2854809099806371402965399/62500000000000000000000000 755117416728477929146617/7812500000000000000000000
7503509550375965924289/39062500000000000000000 -132478033840278059226069/15625000000000000000000000 -365049143311769493220467/976562500000000000000000 -4316929433391634852292973/15625000000000000000000000 755117416728477929146617/7812500000000000000000000 199733955270551717454711/976562500000000000000000


--- 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 :
183314940766787624166820483/125000000000000000000000000 65147932018024409964487453/500000000000000000000000000 5790469262651040780530797/20000000000000000000000000 66330056648412661220576421/100000000000000000000000000 -334945962301694556562343039/500000000000000000000000000 -23407947780105871873285727/25000000000000000000000000 3680676034747357400394209/3125000000000000000000000 -8204003231395629089856813/500000000000000000000000000 -262065452018286693698640771/100000000000000000000000000 271083913675860132897609327/250000000000000000000000000 -10249706832795361628075907/25000000000000000000000000 -588980665723195766471401537/250000000000000000000000000
65147932018024409964487453/500000000000000000000000000 2055703266611676402680144181/1000000000000000000000000000 247573976715142715916696031/1000000000000000000000000000 998352152668932471810784391/1000000000000000000000000000 320371731199871922480646417/1000000000000000000000000000 649727019639313554594361361/500000000000000000000000000 -876439850362593886093604289/500000000000000000000000000 529159499733668991929125461/1000000000000000000000000000 640089418710361322057228491/1000000000000000000000000000 -512422204143121254306044211/500000000000000000000000000 87874414282671509628234041/100000000000000000000000000 -517276793299247165329765639/250000000000000000000000000
5790469262651040780530797/20000000000000000000000000 247573976715142715916696031/1000000000000000000000000000 561857039870675075464115019/1000000000000000000000000000 -61138316928502298695393639/1000000000000000000000000000 -364996898229032629357415941/1000000000000000000000000000 -234796688061655466567914219/500000000000000000000000000 195966255281752075155891803/500000000000000000000000000 -31859691821083813397078489/1000000000000000000000000000 -689636884433984517980236713/1000000000000000000000000000 -21883261212457226350935531/500000000000000000000000000 10017715309312918704795589/20000000000000000000000000 -569805312934167498059511599/500000000000000000000000000
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--- Term 9 ---

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

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

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

Matrix :
1901596603011588871863064529/1000000000000000000000000000 2990700131703240966163664897/1000000000000000000000000000 970984825052793133192232391/500000000000000000000000000 517655236669610890238370543/1000000000000000000000000000
2990700131703240966163664897/1000000000000000000000000000 940713426139337063650870307/200000000000000000000000000 1527098039388714383513338437/500000000000000000000000000 814132493060396042012203103/1000000000000000000000000000
970984825052793133192232391/500000000000000000000000000 1527098039388714383513338437/500000000000000000000000000 495799965665513720496956223/250000000000000000000000000 264322821624118875058267161/500000000000000000000000000
517655236669610890238370543/1000000000000000000000000000 814132493060396042012203103/1000000000000000000000000000 264322821624118875058267161/500000000000000000000000000 2624264281873666157226977/1600000000000000000000000


--- 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 :
2396132064943970757807413969/500000000000000000000000000 121542551049017763054221767/200000000000000000000000000 2608618699720367320491435673/1000000000000000000000000000 101234716117223925528024407/500000000000000000000000000 -8956581348088593101087487/20000000000000000000000000 311831149237657057970548657/200000000000000000000000000 756947619216234203569217231/200000000000000000000000000 -317538739970360948916542881/125000000000000000000000000 -2798975047108667819628412317/500000000000000000000000000 -266782136960054167180977829/200000000000000000000000000
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--- Term 11 ---

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

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

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

Matrix :
21276460940487947443353387/50000000000000000000000000 -13660529406458923226787099/100000000000000000000000000 12467857580993246821226997/100000000000000000000000000 393463848510532879190187/50000000000000000000000000 -8551050900444616831627107/25000000000000000000000000 4117941874330163008495647/6250000000000000000000000
-13660529406458923226787099/100000000000000000000000000 21932691693824745712773641/500000000000000000000000000 -41358452990752926373356513/1000000000000000000000000000 -2558889988660558924942579/500000000000000000000000000 110234800358342070421167471/1000000000000000000000000000 -212063166145208287975550971/1000000000000000000000000000
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4117941874330163008495647/6250000000000000000000000 -212063166145208287975550971/1000000000000000000000000000 31933522829581834458037983/125000000000000000000000000 16686007411156107297592253/125000000000000000000000000 -549773772592572369310888863/1000000000000000000000000000 1045889157375633298399311263/1000000000000000000000000000


--- 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 :
558565366509182826606667397/500000000000000000000000000 13149557607537608265244299/100000000000000000000000000 109858723789307988481540003/125000000000000000000000000 -19420225760559662727452403/250000000000000000000000000 -60258181246390456753779123/100000000000000000000000000 157496395220039444036253837/500000000000000000000000000 -30565830657378422427375061/125000000000000000000000000 -59610478425010886769917113/100000000000000000000000000 -198865494667048020114375433/250000000000000000000000000
13149557607537608265244299/100000000000000000000000000 59377237344360116019457353/1000000000000000000000000000 35356791853783558384411647/500000000000000000000000000 -1436890026081949161906141/250000000000000000000000000 -50653867715273398252542453/500000000000000000000000000 -23457838512751969760444619/1000000000000000000000000000 4149654217866115506024519/62500000000000000000000000 -37065901269504356496268917/500000000000000000000000000 -175321950243581160794439651/1000000000000000000000000000
109858723789307988481540003/125000000000000000000000000 35356791853783558384411647/500000000000000000000000000 178959397409247475515893119/250000000000000000000000000 -3977859296164992022547859/62500000000000000000000000 -56426156864956062861083961/125000000000000000000000000 146476956230392186979638671/500000000000000000000000000 -16459394066107167917150221/62500000000000000000000000 -29125680852738403926118337/62500000000000000000000000 -56488841516495058296496863/100000000000000000000000000
-19420225760559662727452403/250000000000000000000000000 -1436890026081949161906141/250000000000000000000000000 -3977859296164992022547859/62500000000000000000000000 708044735747247092967861/125000000000000000000000000 9887752872948892618302057/250000000000000000000000000 -1329324534209022629706891/50000000000000000000000000 1522908900625892094154587/62500000000000000000000000 10286007719588695572610443/250000000000000000000000000 6124205829889599823876053/125000000000000000000000000
-60258181246390456753779123/100000000000000000000000000 -50653867715273398252542453/500000000000000000000000000 -56426156864956062861083961/125000000000000000000000000 9887752872948892618302057/250000000000000000000000000 173028026458160701956891981/500000000000000000000000000 -64008164696470395675495831/500000000000000000000000000 8254236228471299076031599/125000000000000000000000000 162141887197263121512498759/500000000000000000000000000 121400897030733778780116363/250000000000000000000000000
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-198865494667048020114375433/250000000000000000000000000 -175321950243581160794439651/1000000000000000000000000000 -56488841516495058296496863/100000000000000000000000000 6124205829889599823876053/125000000000000000000000000 121400897030733778780116363/250000000000000000000000000 -111646692293797392783098979/1000000000000000000000000000 -374128785662877980548763/125000000000000000000000000 26990004336619161570773713/62500000000000000000000000 718426588950270563516323783/1000000000000000000000000000


--- Term 13 ---

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

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

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

Matrix :
5724184258586327785461931/250000000000000000000000000 -36524663923709327/25000000000000000000000000 -41985296394466838974411197/500000000000000000000000000 41985294873771189062772443/500000000000000000000000000 2624081024942766635584063/31250000000000000000000000 12755045361676726838291/10000000000000000000000000 429458109821942613/500000000000000000000000000
-36524663923709327/25000000000000000000000000 486236923409946233259277021/250000000000000000000000000 -20231440512728581274085249/1000000000000000000000000000 809256758761028272050319/40000000000000000000000000 -5057854206824925720378187/250000000000000000000000000 -691882227296269757/500000000000000000000000000 -1190836882287611013881610969/1000000000000000000000000000
-41985296394466838974411197/500000000000000000000000000 -20231440512728581274085249/1000000000000000000000000000 718983950202357456051931807/1000000000000000000000000000 10266216500438481275886923/100000000000000000000000000 -359281526892673741085507673/500000000000000000000000000 -1169433684085767384208471/250000000000000000000000000 12387143713405269282686113/1000000000000000000000000000
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429458109821942613/500000000000000000000000000 -1190836882287611013881610969/1000000000000000000000000000 12387143713405269282686113/1000000000000000000000000000 -774195606398337714686941/62500000000000000000000000 6193564064951545496442471/500000000000000000000000000 105657087987995413/125000000000000000000000000 729115998776631418916388463/1000000000000000000000000000


--- Term 14 ---

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

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

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

Matrix :
13086799866203886343171252921/1000000000000000000000000000 34618428880990007328825693/125000000000000000000000000 67082456889508599166703941/200000000000000000000000000 84904763456533012828551281/40000000000000000000000000 -1713926968367134507227466799/500000000000000000000000000 -746612289341078665342996569/250000000000000000000000000 23164869574837847710304251/10000000000000000000000000 4648278921048921149905283/15625000000000000000000000 -6408084087698310268729041829/1000000000000000000000000000 2218368828630710258892448531/1000000000000000000000000000 1683526145262885890873410717/1000000000000000000000000000 -182352817271464022420739781/125000000000000000000000000
34618428880990007328825693/125000000000000000000000000 228674228552681792866165877/100000000000000000000000000 53246677109355219339034087/1000000000000000000000000000 311489920358416798937668241/1000000000000000000000000000 -717395287037671536660186907/250000000000000000000000000 61811873246102104382292813/200000000000000000000000000 368174781377648905115416231/500000000000000000000000000 384757499126067623227515237/1000000000000000000000000000 81106984276780933802311573/1000000000000000000000000000 -320088333204943903946996757/1000000000000000000000000000 -71514628237723376542751177/125000000000000000000000000 -153144050377360693829374423/250000000000000000000000000
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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 :
8342878008904615510343019/3906250000000000000000000 13481019825056138873543319/31250000000000000000000000 56119778778094057950839889/125000000000000000000000000 5750761764563658344581557/7812500000000000000000000
13481019825056138873543319/31250000000000000000000000 17027694298454893853228901/62500000000000000000000000 70884135604849925251400331/250000000000000000000000000 14527419219180074263485741/31250000000000000000000000
56119778778094057950839889/125000000000000000000000000 70884135604849925251400331/250000000000000000000000000 295081682368627289705390661/1000000000000000000000000000 60475806992512482636022971/125000000000000000000000000
5750761764563658344581557/7812500000000000000000000 14527419219180074263485741/31250000000000000000000000 60475806992512482636022971/125000000000000000000000000 3098568506555715350334699/3906250000000000000000000


--- 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 :
4168491908046393728535905403/1000000000000000000000000000 -436768933555797778029960423/100000000000000000000000000 -316524440720941615945170351/1000000000000000000000000000 333683838523518018623708751/200000000000000000000000000 911613629844493292330105463/1000000000000000000000000000 605277059503448582563095693/1000000000000000000000000000
-436768933555797778029960423/100000000000000000000000000 45764057008539052924842243/10000000000000000000000000 33165001988170430939795691/100000000000000000000000000 -34962940437858692191790091/20000000000000000000000000 -95517640841172457328540883/100000000000000000000000000 -63420110106201049777589313/100000000000000000000000000
-316524440720941615945170351/1000000000000000000000000000 33165001988170430939795691/100000000000000000000000000 24034524663539260929880467/1000000000000000000000000000 -25337482402784127739833267/200000000000000000000000000 -69221195747827825816141371/1000000000000000000000000000 -45960262600181805148660281/1000000000000000000000000000
333683838523518018623708751/200000000000000000000000000 -34962940437858692191790091/20000000000000000000000000 -25337482402784127739833267/200000000000000000000000000 26711075983345778705306067/40000000000000000000000000 72973809705541714363047771/200000000000000000000000000 48451856700375459116310681/200000000000000000000000000
911613629844493292330105463/1000000000000000000000000000 -95517640841172457328540883/100000000000000000000000000 -69221195747827825816141371/1000000000000000000000000000 72973809705541714363047771/200000000000000000000000000 199362126267801232618146723/1000000000000000000000000000 132368930886119169808661553/1000000000000000000000000000
605277059503448582563095693/1000000000000000000000000000 -63420110106201049777589313/100000000000000000000000000 -45960262600181805148660281/1000000000000000000000000000 48451856700375459116310681/200000000000000000000000000 132368930886119169808661553/1000000000000000000000000000 87887976477526554227920683/1000000000000000000000000000


--- 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 :
33002300445459860461159203/1000000000000000000000000000 -33002300445459860461159203/1000000000000000000000000000 -168522274735278527/1000000000000000000000000000 3302018431505923725113981/62500000000000000000000000 -26416146611403891711221559/500000000000000000000000000 10566458700280566972462347/200000000000000000000000000 0/1 33781302945297751603100227/500000000000000000000000000 -33781302945297751603100227/500000000000000000000000000 -193624423778250553/1000000000000000000000000000
-33002300445459860461159203/1000000000000000000000000000 33002300445459860461159203/1000000000000000000000000000 168522274735278527/1000000000000000000000000000 -3302018431505923725113981/62500000000000000000000000 26416146611403891711221559/500000000000000000000000000 -10566458700280566972462347/200000000000000000000000000 0/1 -33781302945297751603100227/500000000000000000000000000 33781302945297751603100227/500000000000000000000000000 193624423778250553/1000000000000000000000000000
-168522274735278527/1000000000000000000000000000 168522274735278527/1000000000000000000000000000 33002300187208612558667279/1000000000000000000000000000 5283229199504120437715539/100000000000000000000000000 -26416147683456675709854909/500000000000000000000000000 -52832292520861382056440001/1000000000000000000000000000 0/1 -34212527113870019/100000000000000000000000000 34212527113870019/100000000000000000000000000 67562605634906003135251773/1000000000000000000000000000
3302018431505923725113981/62500000000000000000000000 -3302018431505923725113981/62500000000000000000000000 5283229199504120437715539/100000000000000000000000000 1218292939541237819938516823/1000000000000000000000000000 439991516117440905650251707/500000000000000000000000000 -1049137983935829692966094119/1000000000000000000000000000 0/1 13202972266507406067481/122070312500000000000000 -13202972266507406067481/122070312500000000000000 27039686097777685157579457/250000000000000000000000000
-26416146611403891711221559/500000000000000000000000000 26416146611403891711221559/500000000000000000000000000 -26416147683456675709854909/500000000000000000000000000 439991516117440905650251707/500000000000000000000000000 609146469749324583420088569/500000000000000000000000000 -52456899212423326869273513/50000000000000000000000000 0/1 -27039686267261991333123291/250000000000000000000000000 27039686267261991333123291/250000000000000000000000000 -54079374634353181336197861/500000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
33781302945297751603100227/500000000000000000000000000 -33781302945297751603100227/500000000000000000000000000 -34212527113870019/100000000000000000000000000 13202972266507406067481/122070312500000000000000 -27039686267261991333123291/250000000000000000000000000 54079372815092566160856647/500000000000000000000000000 0/1 34578693402537477975459587/250000000000000000000000000 -34578693402537477975459587/250000000000000000000000000 -195251922380352489/500000000000000000000000000
-33781302945297751603100227/500000000000000000000000000 33781302945297751603100227/500000000000000000000000000 34212527113870019/100000000000000000000000000 -13202972266507406067481/122070312500000000000000 27039686267261991333123291/250000000000000000000000000 -54079372815092566160856647/500000000000000000000000000 0/1 -34578693402537477975459587/250000000000000000000000000 34578693402537477975459587/250000000000000000000000000 195251922380352489/500000000000000000000000000
-193624423778250553/1000000000000000000000000000 193624423778250553/1000000000000000000000000000 67562605634906003135251773/1000000000000000000000000000 27039686097777685157579457/250000000000000000000000000 -54079374634353181336197861/500000000000000000000000000 -108158744982909191379963321/1000000000000000000000000000 0/1 -195251922380352489/500000000000000000000000000 195251922380352489/500000000000000000000000000 138314773645597900498808179/1000000000000000000000000000


--- 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 :
1509419177469470761759859/50000000000000000000000000 4464120031376326675732411/50000000000000000000000000 -5832141056361556563078023/50000000000000000000000000 -2381985675310229182758223/50000000000000000000000000 -1915671946523580029992999/25000000000000000000000000 -502720219095870041790711/5000000000000000000000000
4464120031376326675732411/50000000000000000000000000 13202672890339929055188419/50000000000000000000000000 -17248606685363583642773167/50000000000000000000000000 -7044742856275874776198967/50000000000000000000000000 -5665616044681902037883471/25000000000000000000000000 -1486799315751478877929119/5000000000000000000000000
-5832141056361556563078023/50000000000000000000000000 -17248606685363583642773167/50000000000000000000000000 22534409134990635318333131/50000000000000000000000000 9203590798370437640572531/50000000000000000000000000 7401833219431322390074603/25000000000000000000000000 1942426115565502979718267/5000000000000000000000000
-2381985675310229182758223/50000000000000000000000000 -7044742856275874776198967/50000000000000000000000000 9203590798370437640572531/50000000000000000000000000 3758966258064444752371931/50000000000000000000000000 3023085437978095067046803/25000000000000000000000000 793333209521516253884067/5000000000000000000000000
-1915671946523580029992999/25000000000000000000000000 -5665616044681902037883471/25000000000000000000000000 7401833219431322390074603/25000000000000000000000000 3023085437978095067046803/25000000000000000000000000 2431265656005398642550539/12500000000000000000000000 638024900602287733359771/2500000000000000000000000
-502720219095870041790711/5000000000000000000000000 -1486799315751478877929119/5000000000000000000000000 1942426115565502979718267/5000000000000000000000000 793333209521516253884067/5000000000000000000000000 638024900602287733359771/2500000000000000000000000 167433687381324662379819/500000000000000000000000


--- 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 :
238610367034142199195979/244140625000000000000000 -238610367034142199195979/244140625000000000000000 46092382207355397/62500000000000000000000000 28534849975457754276416087/62500000000000000000000000 -28534849975457754276416087/62500000000000000000000000 28534849905090763778457903/62500000000000000000000000 0/1 15878349986921800953345251/31250000000000000000000000 -15878349986921800953345251/31250000000000000000000000 -17941972182055607/25000000000000000000000000
-238610367034142199195979/244140625000000000000000 238610367034142199195979/244140625000000000000000 -46092382207355397/62500000000000000000000000 -28534849975457754276416087/62500000000000000000000000 28534849975457754276416087/62500000000000000000000000 -28534849905090763778457903/62500000000000000000000000 0/1 -15878349986921800953345251/31250000000000000000000000 15878349986921800953345251/31250000000000000000000000 17941972182055607/25000000000000000000000000
46092382207355397/62500000000000000000000000 -46092382207355397/62500000000000000000000000 763553176360298768765241/781250000000000000000000 28534850036595739560802779/62500000000000000000000000 -28534850036595739560802779/62500000000000000000000000 -11413940030720041684908411/25000000000000000000000000 0/1 1041930629216283/7812500000000000000000000 -1041930629216283/7812500000000000000000000 25405360103368308936092787/50000000000000000000000000
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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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-15878349986921800953345251/31250000000000000000000000 15878349986921800953345251/31250000000000000000000000 -1041930629216283/7812500000000000000000000 -7417399822921125007870161/31250000000000000000000000 7417399822921125007870161/31250000000000000000000000 -14834799623859788845634391/62500000000000000000000000 0/1 -515930829058707682713571/1953125000000000000000000 515930829058707682713571/1953125000000000000000000 12577471995209667/25000000000000000000000000
-17941972182055607/25000000000000000000000000 17941972182055607/25000000000000000000000000 25405360103368308936092787/50000000000000000000000000 11867839751515382842994591/50000000000000000000000000 -11867839751515382842994591/50000000000000000000000000 -5933919909836247145287261/25000000000000000000000000 0/1 -12577471995209667/25000000000000000000000000 12577471995209667/25000000000000000000000000 2641565864224011814370687/10000000000000000000000000

