#Density : 4262604236963310869271498149/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 9, 10, 11, 12, 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 :
267240779481464147327113431/1000000000000000000000000000 171411315021560034239945841/1000000000000000000000000000 -59955988695940126439548899/500000000000000000000000000 -43342207496847436784202453/500000000000000000000000000 -5342330431728204024592911/250000000000000000000000000 -20776810635841781572644021/500000000000000000000000000
171411315021560034239945841/1000000000000000000000000000 109945192400766891678393351/1000000000000000000000000000 -38456461943158299747222789/500000000000000000000000000 -27800191263426685300337283/500000000000000000000000000 -3426632291520260113568121/250000000000000000000000000 -13326485725546210794791331/500000000000000000000000000
-59955988695940126439548899/500000000000000000000000000 -38456461943158299747222789/500000000000000000000000000 13451242686399328049000671/250000000000000000000000000 9723908558343047564833337/250000000000000000000000000 1198562223909728974205819/125000000000000000000000000 4661317879843334120602009/250000000000000000000000000
-43342207496847436784202453/500000000000000000000000000 -27800191263426685300337283/500000000000000000000000000 9723908558343047564833337/250000000000000000000000000 7029417270615596280291439/250000000000000000000000000 866441096819007716413693/125000000000000000000000000 3369668504367691024836623/250000000000000000000000000
-5342330431728204024592911/250000000000000000000000000 -3426632291520260113568121/250000000000000000000000000 1198562223909728974205819/125000000000000000000000000 866441096819007716413693/125000000000000000000000000 106796928586824567830791/62500000000000000000000000 415343002476949828020701/125000000000000000000000000
-20776810635841781572644021/500000000000000000000000000 -13326485725546210794791331/500000000000000000000000000 4661317879843334120602009/250000000000000000000000000 3369668504367691024836623/250000000000000000000000000 415343002476949828020701/125000000000000000000000000 1615306844394117872929711/250000000000000000000000000


--- 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 :
1615306844394117872929711/250000000000000000000000000 3369668504367691024836623/250000000000000000000000000 415343002476949828020701/125000000000000000000000000 -13326485725546210794791331/500000000000000000000000000 4661317879843334120602009/250000000000000000000000000 -20776810635841781572644021/500000000000000000000000000
3369668504367691024836623/250000000000000000000000000 7029417270615596280291439/250000000000000000000000000 866441096819007716413693/125000000000000000000000000 -27800191263426685300337283/500000000000000000000000000 9723908558343047564833337/250000000000000000000000000 -43342207496847436784202453/500000000000000000000000000
415343002476949828020701/125000000000000000000000000 866441096819007716413693/125000000000000000000000000 106796928586824567830791/62500000000000000000000000 -3426632291520260113568121/250000000000000000000000000 1198562223909728974205819/125000000000000000000000000 -5342330431728204024592911/250000000000000000000000000
-13326485725546210794791331/500000000000000000000000000 -27800191263426685300337283/500000000000000000000000000 -3426632291520260113568121/250000000000000000000000000 109945192400766891678393351/1000000000000000000000000000 -38456461943158299747222789/500000000000000000000000000 171411315021560034239945841/1000000000000000000000000000
4661317879843334120602009/250000000000000000000000000 9723908558343047564833337/250000000000000000000000000 1198562223909728974205819/125000000000000000000000000 -38456461943158299747222789/500000000000000000000000000 13451242686399328049000671/250000000000000000000000000 -59955988695940126439548899/500000000000000000000000000
-20776810635841781572644021/500000000000000000000000000 -43342207496847436784202453/500000000000000000000000000 -5342330431728204024592911/250000000000000000000000000 171411315021560034239945841/1000000000000000000000000000 -59955988695940126439548899/500000000000000000000000000 267240779481464147327113431/1000000000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

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

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

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

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {0, 1, 2}
F2 : {0, 1, 3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 7 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

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

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

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

Matrix :
99089021303416514797370889/62500000000000000000000000 154057251398831149763101599/250000000000000000000000000 256771650437725204020860611/250000000000000000000000000 -81198600997722560829649311/500000000000000000000000000 -24633699492775084389665879/500000000000000000000000000 -1440881811524508051368741023/500000000000000000000000000 39029333144460767072543801/50000000000000000000000000 9113262889073180187573977/31250000000000000000000000 -35879384682696763866174101/100000000000000000000000000 37395909264539153424888797/250000000000000000000000000 -8198906241265323727851843/10000000000000000000000000 -303552360397920461410133977/125000000000000000000000000
154057251398831149763101599/250000000000000000000000000 332993620626264054511046469/1000000000000000000000000000 27143591424654764507652717/62500000000000000000000000 -83373480549362408990405989/1000000000000000000000000000 -11963462235398166533717347/50000000000000000000000000 -921971945789301173135727707/1000000000000000000000000000 62683903561356906742322621/200000000000000000000000000 12412058469263702055142517/100000000000000000000000000 22738793682435235331349153/40000000000000000000000000 -36801798295988727429728541/250000000000000000000000000 -1039133542668478041149777287/1000000000000000000000000000 -185397151290096586239240093/250000000000000000000000000
256771650437725204020860611/250000000000000000000000000 27143591424654764507652717/62500000000000000000000000 718088127043524141901997607/1000000000000000000000000000 -17153332259269672201688777/250000000000000000000000000 -740680287976767304718257/500000000000000000000000000 -1887154245885063498178231513/1000000000000000000000000000 65806845545185643579953087/125000000000000000000000000 54529810997272969931364921/250000000000000000000000000 -18755241505422828638095629/250000000000000000000000000 42733000899851461778535493/1000000000000000000000000000 -51421613293791351442690933/62500000000000000000000000 -65213853127255077315928303/40000000000000000000000000
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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 :
1663930674836130412426843639/500000000000000000000000000 250373356815417699618444997/200000000000000000000000000 921502985751261213943103169/1000000000000000000000000000 -14995443554357630161292537/50000000000000000000000000
250373356815417699618444997/200000000000000000000000000 4078609049198313537250021807/1000000000000000000000000000 173324375730118113444435839/500000000000000000000000000 355400516551897374865307599/500000000000000000000000000
921502985751261213943103169/1000000000000000000000000000 173324375730118113444435839/500000000000000000000000000 255169210349499108644623217/1000000000000000000000000000 -1660928076058352048955639/20000000000000000000000000
-14995443554357630161292537/50000000000000000000000000 355400516551897374865307599/500000000000000000000000000 -1660928076058352048955639/20000000000000000000000000 34052962669705629284931427/12500000000000000000000000


--- 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 :
336210471237601110602549127/200000000000000000000000000 -132524932141303966678221699/1000000000000000000000000000 12788021569929750635960883/250000000000000000000000000 1476324464198481538876811749/1000000000000000000000000000 -108490356448265407438627661/1000000000000000000000000000 30568691657397800648462959/1000000000000000000000000000 75059266267384677380037783/1000000000000000000000000000 -45792415843823036791553119/250000000000000000000000000 -1535790923846568457630872107/1000000000000000000000000000 -1149232984705397623739800791/1000000000000000000000000000
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12788021569929750635960883/250000000000000000000000000 35849514956515692185747169/62500000000000000000000000 330304395348748746567589569/125000000000000000000000000 -1749527163222982562076241497/1000000000000000000000000000 -1287818797871202061555309227/1000000000000000000000000000 383729132469350979056898441/200000000000000000000000000 35849514956515692185747169/62500000000000000000000000 34135242533440918607263443/31250000000000000000000000 -1749527163222982562076241497/1000000000000000000000000000 12788021569929750635960883/250000000000000000000000000
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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 :
179903052286120363922325217/250000000000000000000000000 1279101107321866144293295561/1000000000000000000000000000 49707400693495449407969887/100000000000000000000000000 -7955981843065083762653817/125000000000000000000000000 166972019719363153155132113/500000000000000000000000000 242651224097944617460938413/200000000000000000000000000
1279101107321866144293295561/1000000000000000000000000000 1364189223476456430324381391/250000000000000000000000000 231753040377631865883917/160000000000000000000000 -55136281579171494442109751/31250000000000000000000000 242651224097944617460938413/200000000000000000000000000 907872478320449299577452423/250000000000000000000000000
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-7955981843065083762653817/125000000000000000000000000 -55136281579171494442109751/31250000000000000000000000 0/1 213185920781468196750659799/62500000000000000000000000 7955981843065083762653817/125000000000000000000000000 55136281579171494442109751/31250000000000000000000000
166972019719363153155132113/500000000000000000000000000 242651224097944617460938413/200000000000000000000000000 49707400693495449407969887/100000000000000000000000000 7955981843065083762653817/125000000000000000000000000 179903052286120363922325217/250000000000000000000000000 1279101107321866144293295561/1000000000000000000000000000
242651224097944617460938413/200000000000000000000000000 907872478320449299577452423/250000000000000000000000000 231753040377631865883917/160000000000000000000000 55136281579171494442109751/31250000000000000000000000 1279101107321866144293295561/1000000000000000000000000000 1364189223476456430324381391/250000000000000000000000000


--- 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 :
3392200810461995860134884893/1000000000000000000000000000 -46903015918042584000227373/1000000000000000000000000000 746586808894007129482272601/1000000000000000000000000000 1760287088844555484344485761/1000000000000000000000000000 -102718403013339037945460253/1000000000000000000000000000 -108252838582990652206866037/200000000000000000000000000 -20964447219965636177214699/25000000000000000000000000 -2090217231059378625065754849/1000000000000000000000000000 -84641531666032218127224251/1000000000000000000000000000
-46903015918042584000227373/1000000000000000000000000000 1290851237913634860561306189/1000000000000000000000000000 15604871441525653621340823/50000000000000000000000000 -227475601249516330941461187/200000000000000000000000000 66369658202136559547747943/1000000000000000000000000000 -111190740879459777890267511/250000000000000000000000000 135458024615624456811264243/250000000000000000000000000 18002154183172255609209153/200000000000000000000000000 -2090217231059378625065754849/1000000000000000000000000000
746586808894007129482272601/1000000000000000000000000000 15604871441525653621340823/50000000000000000000000000 389231760665831750281591887/1000000000000000000000000000 13659118386857593380173663/125000000000000000000000000 -199263353343635853228957/31250000000000000000000000 -245519204947653212140016527/1000000000000000000000000000 -6507026458566905541169581/125000000000000000000000000 -111190740879459777890267511/250000000000000000000000000 -108252838582990652206866037/200000000000000000000000000
1760287088844555484344485761/1000000000000000000000000000 -227475601249516330941461187/200000000000000000000000000 13659118386857593380173663/125000000000000000000000000 1873653878264466763538160857/1000000000000000000000000000 -109333719138623134455211153/1000000000000000000000000000 13659118386857593380173663/125000000000000000000000000 -223146088432328530927114217/250000000000000000000000000 -227475601249516330941461187/200000000000000000000000000 1760287088844555484344485761/1000000000000000000000000000
-102718403013339037945460253/1000000000000000000000000000 66369658202136559547747943/1000000000000000000000000000 -199263353343635853228957/31250000000000000000000000 -109333719138623134455211153/1000000000000000000000000000 6379973526250207321080379/1000000000000000000000000000 -199263353343635853228957/31250000000000000000000000 5208516267079478110026467/100000000000000000000000000 66369658202136559547747943/1000000000000000000000000000 -102718403013339037945460253/1000000000000000000000000000
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-2090217231059378625065754849/1000000000000000000000000000 18002154183172255609209153/200000000000000000000000000 -111190740879459777890267511/250000000000000000000000000 -227475601249516330941461187/200000000000000000000000000 66369658202136559547747943/1000000000000000000000000000 15604871441525653621340823/50000000000000000000000000 135458024615624456811264243/250000000000000000000000000 1290851237913634860561306189/1000000000000000000000000000 -46903015918042584000227373/1000000000000000000000000000
-84641531666032218127224251/1000000000000000000000000000 -2090217231059378625065754849/1000000000000000000000000000 -108252838582990652206866037/200000000000000000000000000 1760287088844555484344485761/1000000000000000000000000000 -102718403013339037945460253/1000000000000000000000000000 746586808894007129482272601/1000000000000000000000000000 -20964447219965636177214699/25000000000000000000000000 -46903015918042584000227373/1000000000000000000000000000 3392200810461995860134884893/1000000000000000000000000000


--- 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 :
11410468482637202976589593/12500000000000000000000000 -381992900923423461/500000000000000000000000000 54785770490472247378019229/50000000000000000000000000 -54785770490472247378019229/50000000000000000000000000 -136964426423493671482058793/125000000000000000000000000 69620021243098096551964929/500000000000000000000000000 2236542947581443/25000000000000000000000000
-381992900923423461/500000000000000000000000000 355326161641109358893985391/1000000000000000000000000000 -16713540440263702713445093/100000000000000000000000000 16713540440263702713445093/100000000000000000000000000 -6685416106809265522197/40000000000000000000000 105506639663179001/1000000000000000000000000000 69620021243098096551964929/500000000000000000000000000
54785770490472247378019229/50000000000000000000000000 -16713540440263702713445093/100000000000000000000000000 6576155600219384061477697/2500000000000000000000000 -6576155600219384061477697/2500000000000000000000000 0/1 16713540440263702713445093/100000000000000000000000000 -54785770490472247378019229/50000000000000000000000000
-54785770490472247378019229/50000000000000000000000000 16713540440263702713445093/100000000000000000000000000 -6576155600219384061477697/2500000000000000000000000 6576155600219384061477697/2500000000000000000000000 0/1 -16713540440263702713445093/100000000000000000000000000 54785770490472247378019229/50000000000000000000000000
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69620021243098096551964929/500000000000000000000000000 105506639663179001/1000000000000000000000000000 16713540440263702713445093/100000000000000000000000000 -16713540440263702713445093/100000000000000000000000000 -6685416106809265522197/40000000000000000000000 355326161641109358893985391/1000000000000000000000000000 -381992900923423461/500000000000000000000000000
2236542947581443/25000000000000000000000000 69620021243098096551964929/500000000000000000000000000 -54785770490472247378019229/50000000000000000000000000 54785770490472247378019229/50000000000000000000000000 -136964426423493671482058793/125000000000000000000000000 -381992900923423461/500000000000000000000000000 11410468482637202976589593/12500000000000000000000000


--- 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 :
4605317075411611717206900103/1000000000000000000000000000 5161273027173683778905243369/1000000000000000000000000000 -750616404226363211842032517/1000000000000000000000000000 7022750410350443753682021/125000000000000000000000000 -50802792584876027025959219/100000000000000000000000000 -185397151290096586239240093/250000000000000000000000000 -29012051559698822079142843/125000000000000000000000000 -15628134759286187694209553/20000000000000000000000000 305767833539864331859242697/125000000000000000000000000 -65213853127255077315928303/40000000000000000000000000 -307797702806269150931358307/250000000000000000000000000 -303552360397920461410133977/125000000000000000000000000
5161273027173683778905243369/1000000000000000000000000000 23537746420586913106138461/4000000000000000000000000 -761943949640519282375027667/1000000000000000000000000000 146498367965399800302983881/1000000000000000000000000000 -35464898984606936210014869/62500000000000000000000000 -921971945789301173135727707/1000000000000000000000000000 13937210857111861099192713/1000000000000000000000000000 -64754891893167579684598433/100000000000000000000000000 2411803378698575334352280351/1000000000000000000000000000 -1887154245885063498178231513/1000000000000000000000000000 -1438306061102878062435334287/1000000000000000000000000000 -1440881811524508051368741023/500000000000000000000000000
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-303552360397920461410133977/125000000000000000000000000 -1440881811524508051368741023/500000000000000000000000000 37395909264539153424888797/250000000000000000000000000 -81198600997722560829649311/500000000000000000000000000 9113262889073180187573977/31250000000000000000000000 154057251398831149763101599/250000000000000000000000000 -8198906241265323727851843/10000000000000000000000000 -24633699492775084389665879/500000000000000000000000000 -35879384682696763866174101/100000000000000000000000000 256771650437725204020860611/250000000000000000000000000 39029333144460767072543801/50000000000000000000000000 99089021303416514797370889/62500000000000000000000000


--- 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 :
34052962669705629284931427/12500000000000000000000000 355400516551897374865307599/500000000000000000000000000 -1660928076058352048955639/20000000000000000000000000 -14995443554357630161292537/50000000000000000000000000
355400516551897374865307599/500000000000000000000000000 4078609049198313537250021807/1000000000000000000000000000 173324375730118113444435839/500000000000000000000000000 250373356815417699618444997/200000000000000000000000000
-1660928076058352048955639/20000000000000000000000000 173324375730118113444435839/500000000000000000000000000 255169210349499108644623217/1000000000000000000000000000 921502985751261213943103169/1000000000000000000000000000
-14995443554357630161292537/50000000000000000000000000 250373356815417699618444997/200000000000000000000000000 921502985751261213943103169/1000000000000000000000000000 1663930674836130412426843639/500000000000000000000000000


--- 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 :
6471878064370550869627319/250000000000000000000000000 -12564153532320322343571079/125000000000000000000000000 799195170453042267441301/62500000000000000000000000 3691422143619042364870877/31250000000000000000000000 9802727400230485504222971/500000000000000000000000000 -38587551120565862992673661/500000000000000000000000000
-12564153532320322343571079/125000000000000000000000000 236703638795912247212477873/200000000000000000000000000 -53260239460886223453843581/500000000000000000000000000 -54277057892596584760375441/50000000000000000000000000 -214524482846699213305110279/1000000000000000000000000000 453601620335308060801467133/1000000000000000000000000000
799195170453042267441301/62500000000000000000000000 -53260239460886223453843581/500000000000000000000000000 240001590328661085360133/5000000000000000000000000 2065859418235572812358979/20000000000000000000000000 1960678931897467552166103/100000000000000000000000000 -24579136431540620243957703/500000000000000000000000000
3691422143619042364870877/31250000000000000000000000 -54277057892596584760375441/50000000000000000000000000 2065859418235572812358979/20000000000000000000000000 1034435137630672973982564349/1000000000000000000000000000 2485466710665608123428293/12500000000000000000000000 -236909909847781295882526121/500000000000000000000000000
9802727400230485504222971/500000000000000000000000000 -214524482846699213305110279/1000000000000000000000000000 1960678931897467552166103/100000000000000000000000000 2485466710665608123428293/12500000000000000000000000 1949774226480214160795901/50000000000000000000000000 -10663532469035181061652199/125000000000000000000000000
-38587551120565862992673661/500000000000000000000000000 453601620335308060801467133/1000000000000000000000000000 -24579136431540620243957703/500000000000000000000000000 -236909909847781295882526121/500000000000000000000000000 -10663532469035181061652199/125000000000000000000000000 16246970914141048551989939/62500000000000000000000000


--- 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 :
2053377667973637804871170441/1000000000000000000000000000 2053377667973637804871170441/1000000000000000000000000000 -2053377667973637804871170441/1000000000000000000000000000 0/1 0/1 0/1 1505462613332206791286489311/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000
2053377667973637804871170441/1000000000000000000000000000 2053377667973637804871170441/1000000000000000000000000000 -2053377667973637804871170441/1000000000000000000000000000 0/1 0/1 0/1 1505462613332206791286489311/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000
-2053377667973637804871170441/1000000000000000000000000000 -2053377667973637804871170441/1000000000000000000000000000 2053377667973637804871170441/1000000000000000000000000000 0/1 0/1 0/1 -1505462613332206791286489311/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000
0/1 0/1 0/1 597179710704261509570872761/500000000000000000000000000 -334534296093641693637693/15625000000000000000000000 -58647461367597493781324427/100000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -334534296093641693637693/15625000000000000000000000 597179710704261509570872761/500000000000000000000000000 -58647461367597493781324427/100000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -58647461367597493781324427/100000000000000000000000000 -58647461367597493781324427/100000000000000000000000000 1194359420922920682174074921/1000000000000000000000000000 0/1 0/1 0/1 0/1
1505462613332206791286489311/1000000000000000000000000000 1505462613332206791286489311/1000000000000000000000000000 -1505462613332206791286489311/1000000000000000000000000000 0/1 0/1 0/1 1103751012534209988695289081/1000000000000000000000000000 -122191464474158898860307189/1000000000000000000000000000 -122191464474158898860307189/1000000000000000000000000000 122191464474158898860307189/1000000000000000000000000000
-166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 0/1 0/1 0/1 -122191464474158898860307189/1000000000000000000000000000 13527284524123476638637441/1000000000000000000000000000 13527284524123476638637441/1000000000000000000000000000 -13527284524123476638637441/1000000000000000000000000000
-166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 0/1 0/1 0/1 -122191464474158898860307189/1000000000000000000000000000 13527284524123476638637441/1000000000000000000000000000 13527284524123476638637441/1000000000000000000000000000 -13527284524123476638637441/1000000000000000000000000000
166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 0/1 0/1 0/1 122191464474158898860307189/1000000000000000000000000000 -13527284524123476638637441/1000000000000000000000000000 -13527284524123476638637441/1000000000000000000000000000 13527284524123476638637441/1000000000000000000000000000


--- 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 :
16246970914141048551989939/62500000000000000000000000 -10663532469035181061652199/125000000000000000000000000 -24579136431540620243957703/500000000000000000000000000 -236909909847781295882526121/500000000000000000000000000 453601620335308060801467133/1000000000000000000000000000 -38587551120565862992673661/500000000000000000000000000
-10663532469035181061652199/125000000000000000000000000 1949774226480214160795901/50000000000000000000000000 1960678931897467552166103/100000000000000000000000000 2485466710665608123428293/12500000000000000000000000 -214524482846699213305110279/1000000000000000000000000000 9802727400230485504222971/500000000000000000000000000
-24579136431540620243957703/500000000000000000000000000 1960678931897467552166103/100000000000000000000000000 240001590328661085360133/5000000000000000000000000 2065859418235572812358979/20000000000000000000000000 -53260239460886223453843581/500000000000000000000000000 799195170453042267441301/62500000000000000000000000
-236909909847781295882526121/500000000000000000000000000 2485466710665608123428293/12500000000000000000000000 2065859418235572812358979/20000000000000000000000000 1034435137630672973982564349/1000000000000000000000000000 -54277057892596584760375441/50000000000000000000000000 3691422143619042364870877/31250000000000000000000000
453601620335308060801467133/1000000000000000000000000000 -214524482846699213305110279/1000000000000000000000000000 -53260239460886223453843581/500000000000000000000000000 -54277057892596584760375441/50000000000000000000000000 236703638795912247212477873/200000000000000000000000000 -12564153532320322343571079/125000000000000000000000000
-38587551120565862992673661/500000000000000000000000000 9802727400230485504222971/500000000000000000000000000 799195170453042267441301/62500000000000000000000000 3691422143619042364870877/31250000000000000000000000 -12564153532320322343571079/125000000000000000000000000 6471878064370550869627319/250000000000000000000000000


--- 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 :
13527284524123476638637441/1000000000000000000000000000 13527284524123476638637441/1000000000000000000000000000 -13527284524123476638637441/1000000000000000000000000000 0/1 0/1 0/1 122191464474158898860307189/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000
13527284524123476638637441/1000000000000000000000000000 13527284524123476638637441/1000000000000000000000000000 -13527284524123476638637441/1000000000000000000000000000 0/1 0/1 0/1 122191464474158898860307189/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000
-13527284524123476638637441/1000000000000000000000000000 -13527284524123476638637441/1000000000000000000000000000 13527284524123476638637441/1000000000000000000000000000 0/1 0/1 0/1 -122191464474158898860307189/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000
0/1 0/1 0/1 597179710704261509570872761/500000000000000000000000000 -334534296093641693637693/15625000000000000000000000 -58647461367597493781324427/100000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -334534296093641693637693/15625000000000000000000000 597179710704261509570872761/500000000000000000000000000 -58647461367597493781324427/100000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -58647461367597493781324427/100000000000000000000000000 -58647461367597493781324427/100000000000000000000000000 1194359420922920682174074921/1000000000000000000000000000 0/1 0/1 0/1 0/1
122191464474158898860307189/1000000000000000000000000000 122191464474158898860307189/1000000000000000000000000000 -122191464474158898860307189/1000000000000000000000000000 0/1 0/1 0/1 1103751012534209988695289081/1000000000000000000000000000 -1505462613332206791286489311/1000000000000000000000000000 -1505462613332206791286489311/1000000000000000000000000000 1505462613332206791286489311/1000000000000000000000000000
-166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 0/1 0/1 0/1 -1505462613332206791286489311/1000000000000000000000000000 2053377667973637804871170441/1000000000000000000000000000 2053377667973637804871170441/1000000000000000000000000000 -2053377667973637804871170441/1000000000000000000000000000
-166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 0/1 0/1 0/1 -1505462613332206791286489311/1000000000000000000000000000 2053377667973637804871170441/1000000000000000000000000000 2053377667973637804871170441/1000000000000000000000000000 -2053377667973637804871170441/1000000000000000000000000000
166663205147868632036221059/1000000000000000000000000000 166663205147868632036221059/1000000000000000000000000000 -166663205147868632036221059/1000000000000000000000000000 0/1 0/1 0/1 1505462613332206791286489311/1000000000000000000000000000 -2053377667973637804871170441/1000000000000000000000000000 -2053377667973637804871170441/1000000000000000000000000000 2053377667973637804871170441/1000000000000000000000000000

