#Density : 1154015949671265630577707217/8000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 9, 10, 11, 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 :
1146680876861544352247767/250000000000000000000000000 -770284461911000810163669/500000000000000000000000000 -2251888164703219121673933/500000000000000000000000000 -1250026639803032682130141/500000000000000000000000000 -331247295557917695507101/62500000000000000000000000 4906348576386023332698767/500000000000000000000000000
-770284461911000810163669/500000000000000000000000000 517439650590041626620783/1000000000000000000000000000 1512708983147726645718231/1000000000000000000000000000 839707120825524720634887/1000000000000000000000000000 222515828045079933857607/125000000000000000000000000 -3295846428915061946220669/1000000000000000000000000000
-2251888164703219121673933/500000000000000000000000000 1512708983147726645718231/1000000000000000000000000000 4422329183869985286074367/1000000000000000000000000000 2454841841821410213718959/1000000000000000000000000000 650513913250592555637999/125000000000000000000000000 -9635242475929270871322933/1000000000000000000000000000
-1250026639803032682130141/500000000000000000000000000 839707120825524720634887/1000000000000000000000000000 2454841841821410213718959/1000000000000000000000000000 1362686543176678840667743/1000000000000000000000000000 361101289962562447057823/125000000000000000000000000 -5348538157737803702003141/1000000000000000000000000000
-331247295557917695507101/62500000000000000000000000 222515828045079933857607/125000000000000000000000000 650513913250592555637999/125000000000000000000000000 361101289962562447057823/125000000000000000000000000 95689021268716218132703/15625000000000000000000000 -1417320834232893438260101/125000000000000000000000000
4906348576386023332698767/500000000000000000000000000 -3295846428915061946220669/1000000000000000000000000000 -9635242475929270871322933/1000000000000000000000000000 -5348538157737803702003141/1000000000000000000000000000 -1417320834232893438260101/125000000000000000000000000 20992986661546772616149767/1000000000000000000000000000


--- 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 :
61585438631156748867663871/500000000000000000000000000 -20963534189351537845435379/250000000000000000000000000 -103183981905337621271408499/500000000000000000000000000 69895921762782559994317719/500000000000000000000000000 5520872578981444452685831/500000000000000000000000000 14850769774797960967022669/500000000000000000000000000
-20963534189351537845435379/250000000000000000000000000 162814785323621893271103479/1000000000000000000000000000 -92364942995032728879572763/1000000000000000000000000000 -761751686557791477615219/500000000000000000000000000 -47399881771364017246302961/500000000000000000000000000 -8499830089629958008615737/125000000000000000000000000
-103183981905337621271408499/500000000000000000000000000 -92364942995032728879572763/1000000000000000000000000000 858622654413734593079160861/1000000000000000000000000000 -110116689968044545007146291/250000000000000000000000000 10858480484774718260707599/62500000000000000000000000 27732459946898297100906681/500000000000000000000000000
69895921762782559994317719/500000000000000000000000000 -761751686557791477615219/500000000000000000000000000 -110116689968044545007146291/250000000000000000000000000 120800543392923983809362909/500000000000000000000000000 -32388646541405061114826239/500000000000000000000000000 -860897414362694369336499/100000000000000000000000000
5520872578981444452685831/500000000000000000000000000 -47399881771364017246302961/500000000000000000000000000 10858480484774718260707599/62500000000000000000000000 -32388646541405061114826239/500000000000000000000000000 36522760755999317832035869/500000000000000000000000000 4210546681881298354196101/100000000000000000000000000
14850769774797960967022669/500000000000000000000000000 -8499830089629958008615737/125000000000000000000000000 27732459946898297100906681/500000000000000000000000000 -860897414362694369336499/100000000000000000000000000 4210546681881298354196101/100000000000000000000000000 14376519637318427328605263/500000000000000000000000000


--- 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 :
1150799199925078264380473877/1000000000000000000000000000 -83850167946474432963851051/1000000000000000000000000000 -869273589789105124081229023/1000000000000000000000000000 203216334886225440668467521/200000000000000000000000000 -838950195438057565652022049/1000000000000000000000000000 1076121823571836147766079/100000000000000000000000000 -89672208759359904743673369/1000000000000000000000000000 -35439765515430316347212393/15625000000000000000000000 -9429226212841821513299757/10000000000000000000000000 75820150423134454095891101/25000000000000000000000000 -520936567330544609624459089/500000000000000000000000000 235985541539931969654115039/250000000000000000000000000
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235985541539931969654115039/250000000000000000000000000 1579933934519015342171879173/1000000000000000000000000000 -27635956516652658197227251/100000000000000000000000000 352832119334260233876723967/1000000000000000000000000000 -132585340167980019489170253/62500000000000000000000000 -1804771596000751680987674981/1000000000000000000000000000 -488431823335599852568981487/200000000000000000000000000 -8182646653473206820013564417/500000000000000000000000000 -292941196909526211243817589/500000000000000000000000000 1811225580019539820432285719/200000000000000000000000000 -333016958425200473888916939/125000000000000000000000000 3038480340872524189267465429/250000000000000000000000000


--- 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 :
1713258433791097246298993/1250000000000000000000000 419121742091334530519513/500000000000000000000000 1721139443369803723954369/1250000000000000000000000 106163173662989556890623/40000000000000000000000
419121742091334530519513/500000000000000000000000 102531545287635374472833/200000000000000000000000 421049707189254317295529/500000000000000000000000 25971151470194666904343/16000000000000000000000
1721139443369803723954369/1250000000000000000000000 421049707189254317295529/500000000000000000000000 1729056705688175533704977/1250000000000000000000000 106651525549687998794159/40000000000000000000000
106163173662989556890623/40000000000000000000000 25971151470194666904343/16000000000000000000000 106651525549687998794159/40000000000000000000000 6578470136147796145553/1280000000000000000000


--- 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 :
1300225420132381918959716839/500000000000000000000000000 213445327973006547015712177/125000000000000000000000000 -813066368644825494027452071/500000000000000000000000000 -43655750488624658126777671/500000000000000000000000000 19823030938516847066103143/500000000000000000000000000 -15607610893199044953967861/10000000000000000000000000 -136522505435907275177005299/100000000000000000000000000 -11855844919882083095088253/50000000000000000000000000 738424606434857779572027/31250000000000000000000000 -212047149876818588382335403/125000000000000000000000000
213445327973006547015712177/125000000000000000000000000 1599236886046733836255638793/500000000000000000000000000 -719618470909076721414373881/1000000000000000000000000000 -613391887338126782100113067/500000000000000000000000000 145246783577519099486701177/1000000000000000000000000000 -1242201530502628562563084177/1000000000000000000000000000 -209775517555409884955918857/500000000000000000000000000 -1304624518869101290074976897/1000000000000000000000000000 -612094064639911119802904531/250000000000000000000000000 17087113685935662522270257/40000000000000000000000000
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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 :
308149368510333993896294961/100000000000000000000000000 4549697027931544577882571/31250000000000000000000000 74053258189366832917278663/20000000000000000000000000 -125059839255050818105638339/500000000000000000000000000 330437932292511322338705837/500000000000000000000000000 200862725630999953334734671/50000000000000000000000000
4549697027931544577882571/31250000000000000000000000 859832075169478618391273/125000000000000000000000000 43734620041126030887180787/250000000000000000000000000 -369291292793122372840731/31250000000000000000000000 1561209083228522890597779/50000000000000000000000000 23725235595800163763582391/125000000000000000000000000
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200862725630999953334734671/50000000000000000000000000 23725235595800163763582391/125000000000000000000000000 120676373228342044977012283/25000000000000000000000000 -81518454146873430676005453/250000000000000000000000000 53847801192167451860627541/62500000000000000000000000 13092947340101831564437711/2500000000000000000000000


--- 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 :
258909138268301849272676821/1000000000000000000000000000 -74726420771290158129702817/1000000000000000000000000000 6884698617471426044674297/40000000000000000000000000 17808488539375029238153613/200000000000000000000000000 489289322850311226585979/1562500000000000000000000 66436748089611373128942999/1000000000000000000000000000 -233750258404300324961813671/1000000000000000000000000000 -24025133902622598041573993/500000000000000000000000000 -93106258237959294772259407/200000000000000000000000000
-74726420771290158129702817/1000000000000000000000000000 21567558405378837524699977/1000000000000000000000000000 -49676586274019093084615773/1000000000000000000000000000 -25699452263288190469510201/1000000000000000000000000000 -5648752309441117643875381/62500000000000000000000000 -19174990985740416406612203/1000000000000000000000000000 13493011704219222802582187/200000000000000000000000000 6934140204945265583789123/500000000000000000000000000 134361758647550037031563623/1000000000000000000000000000
6884698617471426044674297/40000000000000000000000000 -49676586274019093084615773/1000000000000000000000000000 114420147958176609188642653/1000000000000000000000000000 59193582954051088193214781/1000000000000000000000000000 3252694697357738605762699/15625000000000000000000000 8833156503882346189170351/200000000000000000000000000 -155392360002565140422868523/1000000000000000000000000000 -15971414457428814842095757/500000000000000000000000000 -309475619350558071488737583/1000000000000000000000000000
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489289322850311226585979/1562500000000000000000000 -5648752309441117643875381/62500000000000000000000000 3252694697357738605762699/15625000000000000000000000 6730935305616565198062817/62500000000000000000000000 5917851627648045594235363/15625000000000000000000000 50221157433935890251213/625000000000000000000000 -17669751854367488467139821/62500000000000000000000000 -3632236877300350119215233/62500000000000000000000000 -17595322571877991730856703/31250000000000000000000000
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--- Term 13 ---

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

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

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

Matrix :
87055135913318308789464389/1000000000000000000000000000 18375606970450197/100000000000000000000000000 -35801745504956675888757767/200000000000000000000000000 179008727415703621089770997/1000000000000000000000000000 89504363670398734700835881/500000000000000000000000000 -22509956871904821163917537/200000000000000000000000000 -344110541553787321/1000000000000000000000000000
18375606970450197/100000000000000000000000000 131220676887400075318123/7812500000000000000000000 1924873222250824619022657/500000000000000000000000000 -1924873210182552306647959/500000000000000000000000000 384974724796988386502941/100000000000000000000000000 -112008507969716163/500000000000000000000000000 -12208653888371048210652157/250000000000000000000000000
-35801745504956675888757767/200000000000000000000000000 1924873222250824619022657/500000000000000000000000000 482625892125602096946169957/1000000000000000000000000000 -387703403029182307177499983/1000000000000000000000000000 -53686582438718257266512261/125000000000000000000000000 370292109123090181422491/1600000000000000000000000 -11193030078481880454899383/1000000000000000000000000000
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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 :
430322766063088022772290301/1000000000000000000000000000 49219660978824512061132217/500000000000000000000000000 80042358239613343784330733/1000000000000000000000000000 -617887243335314797182270103/1000000000000000000000000000 217869917446800119641088549/250000000000000000000000000 -39262091766562875686219233/100000000000000000000000000 3676186863225284271049663/10000000000000000000000000 -352501809793026837134393653/500000000000000000000000000 439874481603329755586580087/500000000000000000000000000 -232108963208186506504158299/500000000000000000000000000 484970259273420698293603479/1000000000000000000000000000 -275654270763836507676610791/1000000000000000000000000000
49219660978824512061132217/500000000000000000000000000 615921461850102446103999327/1000000000000000000000000000 163415690125899061354005761/1000000000000000000000000000 -71746516401854972075765387/1000000000000000000000000000 26776580413625785468898293/250000000000000000000000000 -17506176175171041720020481/250000000000000000000000000 274965047942307673730444323/1000000000000000000000000000 -28523731770243877064695889/500000000000000000000000000 178077937659052523510111659/1000000000000000000000000000 -258475796057801542750430359/1000000000000000000000000000 -247838853768731180380387663/1000000000000000000000000000 -137210224590772341999072267/1000000000000000000000000000
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--- Term 15 ---

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

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

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

Matrix :
7504021495155982727132637/5000000000000000000000000 -17685319814658716664578937/25000000000000000000000000 3310985399638685728277163/2500000000000000000000000 -29039426341571884016794227/50000000000000000000000000
-17685319814658716664578937/25000000000000000000000000 41680389261765941086395237/125000000000000000000000000 -7803260655912951183850863/12500000000000000000000000 68439508391126769447781527/250000000000000000000000000
3310985399638685728277163/2500000000000000000000000 -7803260655912951183850863/12500000000000000000000000 1460899908628616247233037/1250000000000000000000000 -12813011888744456923101573/25000000000000000000000000
-29039426341571884016794227/50000000000000000000000000 68439508391126769447781527/250000000000000000000000000 -12813011888744456923101573/25000000000000000000000000 112378180525194505826157117/500000000000000000000000000


--- 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 :
698292047921988492027/78125000000000000000000 239050895037238796836401/6250000000000000000000000 43357902318100756088307/3125000000000000000000000 19551503235858711457923/1250000000000000000000000 -144468511378038310579083/3125000000000000000000000 -207449732469232362725649/6250000000000000000000000
239050895037238796836401/6250000000000000000000000 81835860208004401172001363/500000000000000000000000000 14842994971692819534070041/250000000000000000000000000 6693194289930739271605449/100000000000000000000000000 -49456852691348102951234529/250000000000000000000000000 -71017627036683549476012787/500000000000000000000000000
43357902318100756088307/3125000000000000000000000 14842994971692819534070041/250000000000000000000000000 2692151083519120475663787/125000000000000000000000000 1213979408751762304979643/50000000000000000000000000 -8970246221492407940563203/125000000000000000000000000 -12880835838076112496054009/250000000000000000000000000
19551503235858711457923/1250000000000000000000000 6693194289930739271605449/100000000000000000000000000 1213979408751762304979643/50000000000000000000000000 547423216288006440999627/20000000000000000000000000 -4044978853894899292024467/50000000000000000000000000 -5808392244649107013625001/100000000000000000000000000
-144468511378038310579083/3125000000000000000000000 -49456852691348102951234529/250000000000000000000000000 -8970246221492407940563203/125000000000000000000000000 -4044978853894899292024467/50000000000000000000000000 29888856448953947656462107/125000000000000000000000000 42918939324582528148809921/250000000000000000000000000
-207449732469232362725649/6250000000000000000000000 -71017627036683549476012787/500000000000000000000000000 -12880835838076112496054009/250000000000000000000000000 -5808392244649107013625001/100000000000000000000000000 42918939324582528148809921/250000000000000000000000000 61629502483413487805980563/500000000000000000000000000


--- 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 :
2644690247117885269393/1000000000000000000000000000 -2644690247117885269393/1000000000000000000000000000 -57856521575791/500000000000000000000000000 17240052797911514205859/250000000000000000000000000 -17240052797911514205859/250000000000000000000000000 34480103725233531054563/500000000000000000000000000 0/1 -36583451394853167018183/200000000000000000000000000 36583451394853167018183/200000000000000000000000000 -4860140677938889/1000000000000000000000000000
-2644690247117885269393/1000000000000000000000000000 2644690247117885269393/1000000000000000000000000000 57856521575791/500000000000000000000000000 -17240052797911514205859/250000000000000000000000000 17240052797911514205859/250000000000000000000000000 -34480103725233531054563/500000000000000000000000000 0/1 36583451394853167018183/200000000000000000000000000 -36583451394853167018183/200000000000000000000000000 4860140677938889/1000000000000000000000000000
-57856521575791/500000000000000000000000000 57856521575791/500000000000000000000000000 661172639030767464877/250000000000000000000000000 1077503258577353664859/15625000000000000000000000 -1077503258577353664859/15625000000000000000000000 -1077503414529301338731/15625000000000000000000000 0/1 1315610206882863/100000000000000000000000000 -1315610206882863/100000000000000000000000000 -91458634179388874022977/500000000000000000000000000
17240052797911514205859/250000000000000000000000000 -17240052797911514205859/250000000000000000000000000 1077503258577353664859/15625000000000000000000000 899067571483882146536803/250000000000000000000000000 -899067571483882146536803/250000000000000000000000000 -4946597139805429/500000000000000000000000000 0/1 -476956132384173187119801/100000000000000000000000000 476956132384173187119801/100000000000000000000000000 -1192390337602846960553317/250000000000000000000000000
-17240052797911514205859/250000000000000000000000000 17240052797911514205859/250000000000000000000000000 -1077503258577353664859/15625000000000000000000000 -899067571483882146536803/250000000000000000000000000 899067571483882146536803/250000000000000000000000000 4946597139805429/500000000000000000000000000 0/1 476956132384173187119801/100000000000000000000000000 -476956132384173187119801/100000000000000000000000000 1192390337602846960553317/250000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-36583451394853167018183/200000000000000000000000000 36583451394853167018183/200000000000000000000000000 1315610206882863/100000000000000000000000000 -476956132384173187119801/100000000000000000000000000 476956132384173187119801/100000000000000000000000000 -953912266762376050883937/200000000000000000000000000 0/1 19767628585859485874559/1562500000000000000000000 -19767628585859485874559/1562500000000000000000000 -810016614399321/40000000000000000000000000
36583451394853167018183/200000000000000000000000000 -36583451394853167018183/200000000000000000000000000 -1315610206882863/100000000000000000000000000 476956132384173187119801/100000000000000000000000000 -476956132384173187119801/100000000000000000000000000 953912266762376050883937/200000000000000000000000000 0/1 -19767628585859485874559/1562500000000000000000000 19767628585859485874559/1562500000000000000000000 810016614399321/40000000000000000000000000
-4860140677938889/1000000000000000000000000000 4860140677938889/1000000000000000000000000000 -91458634179388874022977/500000000000000000000000000 -1192390337602846960553317/250000000000000000000000000 1192390337602846960553317/250000000000000000000000000 2384780684955374666791531/500000000000000000000000000 0/1 -810016614399321/40000000000000000000000000 810016614399321/40000000000000000000000000 12651282391572274752943537/1000000000000000000000000000


--- 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 :
10540557189464033117749777/500000000000000000000000000 8849200778346704547427567/100000000000000000000000000 -3780569393046809570331701/100000000000000000000000000 1178062810565402827138637/20000000000000000000000000 -2163469267512113735157899/31250000000000000000000000 -45585664859883517820083019/250000000000000000000000000
8849200778346704547427567/100000000000000000000000000 185731060056687927038733529/500000000000000000000000000 -79348313868798852962474903/500000000000000000000000000 123628596581889468874040539/500000000000000000000000000 -7265260680956793481123103/25000000000000000000000000 -191354543079920988400708861/250000000000000000000000000
-3780569393046809570331701/100000000000000000000000000 -79348313868798852962474903/500000000000000000000000000 15502469588632078960482599/125000000000000000000000000 -13204200582502203050452887/125000000000000000000000000 12415504112371852848704553/100000000000000000000000000 40875393536918693432004761/125000000000000000000000000
1178062810565402827138637/20000000000000000000000000 123628596581889468874040539/500000000000000000000000000 -13204200582502203050452887/125000000000000000000000000 20572797420289659024067031/125000000000000000000000000 -19343969318090977638124213/100000000000000000000000000 -63685884319291828461035853/125000000000000000000000000
-2163469267512113735157899/31250000000000000000000000 -7265260680956793481123103/25000000000000000000000000 12415504112371852848704553/100000000000000000000000000 -19343969318090977638124213/100000000000000000000000000 113678375057238766506703403/500000000000000000000000000 149704700714751789640566633/250000000000000000000000000
-45585664859883517820083019/250000000000000000000000000 -191354543079920988400708861/250000000000000000000000000 40875393536918693432004761/125000000000000000000000000 -63685884319291828461035853/125000000000000000000000000 149704700714751789640566633/250000000000000000000000000 49287072859743288856302383/31250000000000000000000000


--- 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 :
282095792034788822539245933/500000000000000000000000000 -282095792034788822539245933/500000000000000000000000000 20238063744511611/500000000000000000000000000 10998661534617453980327327/500000000000000000000000000 -21997323353154243057555657/1000000000000000000000000000 21997323099880572027522131/1000000000000000000000000000 0/1 -739581551519921340169318013/1000000000000000000000000000 739581551519921340169318013/1000000000000000000000000000 -242747266836544361/1000000000000000000000000000
-282095792034788822539245933/500000000000000000000000000 282095792034788822539245933/500000000000000000000000000 -20238063744511611/500000000000000000000000000 -10998661534617453980327327/500000000000000000000000000 21997323353154243057555657/1000000000000000000000000000 -21997323099880572027522131/1000000000000000000000000000 0/1 739581551519921340169318013/1000000000000000000000000000 -739581551519921340169318013/1000000000000000000000000000 242747266836544361/1000000000000000000000000000
20238063744511611/500000000000000000000000000 -20238063744511611/500000000000000000000000000 70523947836976000013925721/125000000000000000000000000 5499330741288427169376213/250000000000000000000000000 -5499330557205900225557559/250000000000000000000000000 -10998661390756240981041349/500000000000000000000000000 0/1 -137605692666369017/500000000000000000000000000 137605692666369017/500000000000000000000000000 -18489538777318124709462689/25000000000000000000000000
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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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739581551519921340169318013/1000000000000000000000000000 -739581551519921340169318013/1000000000000000000000000000 137605692666369017/500000000000000000000000000 360445251404560462602143/12500000000000000000000000 -3604452500622875471019817/125000000000000000000000000 230684961658031825469501/8000000000000000000000000 0/1 -193898982825365537899245359/200000000000000000000000000 193898982825365537899245359/200000000000000000000000000 -304711443520788321/500000000000000000000000000
-242747266836544361/1000000000000000000000000000 242747266836544361/1000000000000000000000000000 -18489538777318124709462689/25000000000000000000000000 -14417810090443518560633649/500000000000000000000000000 28835619625370686556686977/1000000000000000000000000000 14417809796800419358444163/500000000000000000000000000 0/1 304711443520788321/500000000000000000000000000 -304711443520788321/500000000000000000000000000 193898983073497422182635779/200000000000000000000000000

