#Density : 1529394052084286876600421527/9600000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 10, 11, 13, 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 :
758204945343331426310111/15625000000000000000000000 -4917475720771025538095963/31250000000000000000000000 117050969333771032776993/1953125000000000000000000 -694798900525536215601801/31250000000000000000000000 1221575797064203010487701/7812500000000000000000000 2218121634684542304995151/31250000000000000000000000
-4917475720771025538095963/31250000000000000000000000 31893180877925540101012679/62500000000000000000000000 -759155296106504614965669/3906250000000000000000000 4506244314465123923138733/62500000000000000000000000 -7922751440805496420243433/15625000000000000000000000 -14386030256422290656774283/62500000000000000000000000
117050969333771032776993/1953125000000000000000000 -759155296106504614965669/3906250000000000000000000 18070219016800705070559/244140625000000000000000 -107262403520364557753463/3906250000000000000000000 188585727433222591565163/976562500000000000000000 342431540488656303534513/3906250000000000000000000
-694798900525536215601801/31250000000000000000000000 4506244314465123923138733/62500000000000000000000000 -107262403520364557753463/3906250000000000000000000 636695282899924201488591/62500000000000000000000000 -1119419658130140333835491/15625000000000000000000000 -2032627830345870506028441/62500000000000000000000000
1221575797064203010487701/7812500000000000000000000 -7922751440805496420243433/15625000000000000000000000 188585727433222591565163/976562500000000000000000 -1119419658130140333835491/15625000000000000000000000 1968132016465971906892391/3906250000000000000000000 3573708824397282384490341/15625000000000000000000000
2218121634684542304995151/31250000000000000000000000 -14386030256422290656774283/62500000000000000000000000 342431540488656303534513/3906250000000000000000000 -2032627830345870506028441/62500000000000000000000000 3573708824397282384490341/15625000000000000000000000 6489094560083245115065791/62500000000000000000000000


--- 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 :
140398997144248630861063/12500000000000000000000000 373906855506892688804079/12500000000000000000000000 -1305973980446168843205987/25000000000000000000000000 267120336980930288225791/50000000000000000000000000 -322242258066833323253513/6250000000000000000000000 3312191655467191184983361/50000000000000000000000000
373906855506892688804079/12500000000000000000000000 995778740865311220371607/12500000000000000000000000 -3478034988389164676558571/25000000000000000000000000 711387739756178439224103/50000000000000000000000000 -858186966260292995104929/6250000000000000000000000 8820940262553999512933913/50000000000000000000000000
-1305973980446168843205987/25000000000000000000000000 -3478034988389164676558571/25000000000000000000000000 12148007267103744224444463/50000000000000000000000000 -2484720096587940812416059/100000000000000000000000000 2997457339407665137421037/12500000000000000000000000 -30809594144371497026857989/100000000000000000000000000
267120336980930288225791/50000000000000000000000000 711387739756178439224103/50000000000000000000000000 -2484720096587940812416059/100000000000000000000000000 508217835455733536226487/200000000000000000000000000 -613091705177001939575441/25000000000000000000000000 6301709906409149315235977/200000000000000000000000000
-322242258066833323253513/6250000000000000000000000 -858186966260292995104929/6250000000000000000000000 2997457339407665137421037/12500000000000000000000000 -613091705177001939575441/25000000000000000000000000 739606941617427062463463/3125000000000000000000000 -7602106424672514323838511/25000000000000000000000000
3312191655467191184983361/50000000000000000000000000 8820940262553999512933913/50000000000000000000000000 -30809594144371497026857989/100000000000000000000000000 6301709906409149315235977/200000000000000000000000000 -7602106424672514323838511/25000000000000000000000000 78138831371246000220467767/200000000000000000000000000


--- 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 :
6076745036770464237388711/7812500000000000000000000 254969593086204900731444647/500000000000000000000000000 302693117146266300898059669/500000000000000000000000000 -1587274683432287016643587/62500000000000000000000000 21598229864477716109284941/62500000000000000000000000 69803229849949804222683833/250000000000000000000000000 -838229296951441759965479237/500000000000000000000000000 -227683950055855758768735351/500000000000000000000000000 -88717154807628434644364361/125000000000000000000000000 -42139150446237246922183353/125000000000000000000000000 -214801867491843266280368537/500000000000000000000000000 -285897232325072030312615517/500000000000000000000000000
254969593086204900731444647/500000000000000000000000000 1039312565434153439554027317/1000000000000000000000000000 -78173825331696248791979449/1000000000000000000000000000 128728591317942677958749389/250000000000000000000000000 -139392744503013647394632469/500000000000000000000000000 210461360228921777248078787/250000000000000000000000000 -2058816360399918635404420317/1000000000000000000000000000 -100864763531192596328616869/1000000000000000000000000000 -168858290347644000117603571/250000000000000000000000000 4613939628511414837870007/20000000000000000000000000 -235163248432999258909565911/1000000000000000000000000000 -21389290516841102942615403/200000000000000000000000000
302693117146266300898059669/500000000000000000000000000 -78173825331696248791979449/1000000000000000000000000000 48397900105159106423900861/50000000000000000000000000 -21687979822036030683027769/250000000000000000000000000 307695066713789954010380109/1000000000000000000000000000 59442171363914028233361219/500000000000000000000000000 -388483603781206950765489277/1000000000000000000000000000 -44322049769477421662034929/500000000000000000000000000 -35843235648420324470721449/40000000000000000000000000 -49147281418985480288603671/62500000000000000000000000 -322508848046551663365641469/1000000000000000000000000000 -56597558364505910109304419/125000000000000000000000000
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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 :
1402013721862653590894649/2500000000000000000000000 43470953155969215902861/488281250000000000000000 5206770127908317898633809/25000000000000000000000000 11385609424072184469817791/50000000000000000000000000
43470953155969215902861/488281250000000000000000 367015476814969247208794481/250000000000000000000000000 -39142532036341185622044241/25000000000000000000000000 -315412492697392254314303321/125000000000000000000000000
5206770127908317898633809/25000000000000000000000000 -39142532036341185622044241/25000000000000000000000000 18353758035074848438142933/10000000000000000000000000 289898145303586834830966979/100000000000000000000000000
11385609424072184469817791/50000000000000000000000000 -315412492697392254314303321/125000000000000000000000000 289898145303586834830966979/100000000000000000000000000 919606966111266165127476357/200000000000000000000000000


--- 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 :
4768320003388405560306525173/1000000000000000000000000000 3102361621804895451055595797/1000000000000000000000000000 1338401363208376704580543897/500000000000000000000000000 -3895548981011052750952049469/1000000000000000000000000000 294589527614211540355924039/200000000000000000000000000 -1369884328168968107111910289/1000000000000000000000000000 605358435680927724617474241/500000000000000000000000000 -1030606149175852852907098521/500000000000000000000000000 -343302097468777300003178287/250000000000000000000000000 96798924622832488782655083/1000000000000000000000000000
3102361621804895451055595797/1000000000000000000000000000 2287248361584178486773808353/500000000000000000000000000 55128892865244603068021059/40000000000000000000000000 -232895289058627963208785683/200000000000000000000000000 254036080178508460380560517/1000000000000000000000000000 -3073345902802234375420032239/1000000000000000000000000000 -1505268569255928689241646291/1000000000000000000000000000 -284201742747316746346438337/500000000000000000000000000 -389581302441521833812392987/1000000000000000000000000000 -773529736338262833173242337/500000000000000000000000000
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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 :
822868335411201024822806933/500000000000000000000000000 1466326487231602929987726869/500000000000000000000000000 489523009069786117386251659/500000000000000000000000000 1395414335461282154511544459/500000000000000000000000000 75734703922870431878547179/50000000000000000000000000 1101514970108632427654623/15625000000000000000000000
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--- 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 :
117459741170674159700888119/1000000000000000000000000000 -38116131615566980325760761/250000000000000000000000000 28869644686605606843965491/250000000000000000000000000 61252134002483510090004929/1000000000000000000000000000 -2728141587349196782994087/31250000000000000000000000 202644167234148387394278853/1000000000000000000000000000 -1716073070035531273505347/125000000000000000000000000 -31821094974053050855733211/250000000000000000000000000 6631156369949923593387859/1000000000000000000000000000
-38116131615566980325760761/250000000000000000000000000 371470614781397875648409719/1000000000000000000000000000 -47165194593908045127740441/250000000000000000000000000 -29376526627374902878769177/500000000000000000000000000 24849821666354678611476221/250000000000000000000000000 -223398567777499208140010089/500000000000000000000000000 6370589807918218504555547/125000000000000000000000000 44420545071549077929526361/250000000000000000000000000 -22399015123783641052353217/500000000000000000000000000
28869644686605606843965491/250000000000000000000000000 -47165194593908045127740441/250000000000000000000000000 3818433645534953073149087/31250000000000000000000000 13895915409388780782881831/250000000000000000000000000 -5169959532550677555636319/62500000000000000000000000 60067658003088352888734667/250000000000000000000000000 -163282298908119883520077/7812500000000000000000000 -3997552297086161351527827/31250000000000000000000000 3650683427095849682411401/250000000000000000000000000
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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 :
278815366336483429756304589/1000000000000000000000000000 2638126443049503/10000000000000000000000000 -435962505527843120939525133/1000000000000000000000000000 435962505527843120939525133/1000000000000000000000000000 435962507067067977524443797/1000000000000000000000000000 -109610899401254143926765291/250000000000000000000000000 -92370139373894781/250000000000000000000000000
2638126443049503/10000000000000000000000000 66170445036092850545333413/62500000000000000000000000 281613104550099019925535769/250000000000000000000000000 -281613104550099019925535769/250000000000000000000000000 2252904835979918610361011/2000000000000000000000000 -19882974350925107/31250000000000000000000000 54865730143271726425496551/62500000000000000000000000
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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 :
323614691634205021813613717/31250000000000000000000000 246559678211618447796838129/50000000000000000000000000 392537990850256906548185797/50000000000000000000000000 537143212729003044032882171/500000000000000000000000000 -6078358865418579124475489527/500000000000000000000000000 -282260312301210482834086459/1000000000000000000000000000 -2429831432050671800214949067/1000000000000000000000000000 -418182886897112708954587433/125000000000000000000000000 -293060191500102368518907929/200000000000000000000000000 -1109253908025181396013981849/500000000000000000000000000 -31277129865422926286274773/20000000000000000000000000 -488973942626049694224125549/500000000000000000000000000
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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 :
4896588296724925122276029/8000000000000000000000000 10377031710911399230421639/25000000000000000000000000 -151971670437083364565232631/200000000000000000000000000 -165256889086567934617751749/200000000000000000000000000
10377031710911399230421639/25000000000000000000000000 17593112690529316222659691/62500000000000000000000000 -32206400618439491559359241/62500000000000000000000000 -2801748277909948555894259/5000000000000000000000000
-151971670437083364565232631/200000000000000000000000000 -32206400618439491559359241/62500000000000000000000000 1177366742906473783251135997/1000000000000000000000000000 1025790365299677518319904611/1000000000000000000000000000
-165256889086567934617751749/200000000000000000000000000 -2801748277909948555894259/5000000000000000000000000 1025790365299677518319904611/1000000000000000000000000000 1115463981680320416143032681/1000000000000000000000000000


--- 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 :
333933868935560931746015299/500000000000000000000000000 2830652689326541866399177/25000000000000000000000000 3037994135372155908638373/500000000000000000000000000 -93906781893125827605610213/250000000000000000000000000 -29047601381650785175589939/500000000000000000000000000 9625169171925276101255833/50000000000000000000000000
2830652689326541866399177/25000000000000000000000000 37474425850474742574500961/1000000000000000000000000000 354371452361306690999571/1000000000000000000000000000 -15920366842050203854463103/250000000000000000000000000 -615568520039181915852843/62500000000000000000000000 32635816292017539508926591/1000000000000000000000000000
3037994135372155908638373/500000000000000000000000000 354371452361306690999571/1000000000000000000000000000 3725241136133264521740603/1000000000000000000000000000 -1708651197753872251165203/500000000000000000000000000 -132131615039023537824891/250000000000000000000000000 1751317265136602192692071/1000000000000000000000000000
-93906781893125827605610213/250000000000000000000000000 -15920366842050203854463103/250000000000000000000000000 -1708651197753872251165203/500000000000000000000000000 211262995601678333949372383/1000000000000000000000000000 32674334905412264728282013/1000000000000000000000000000 -108269180960119329766427803/1000000000000000000000000000
-29047601381650785175589939/500000000000000000000000000 -615568520039181915852843/62500000000000000000000000 -132131615039023537824891/250000000000000000000000000 32674334905412264728282013/1000000000000000000000000000 5053474502103296375989757/1000000000000000000000000000 -16745116524313451969584573/1000000000000000000000000000
9625169171925276101255833/50000000000000000000000000 32635816292017539508926591/1000000000000000000000000000 1751317265136602192692071/1000000000000000000000000000 -108269180960119329766427803/1000000000000000000000000000 -16745116524313451969584573/1000000000000000000000000000 1733948885663536747783801/31250000000000000000000000


--- 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 :
766243313488070289076988229/1000000000000000000000000000 -362172387546278017102480899/500000000000000000000000000 -20949268929475373524907169/1000000000000000000000000000 -1663891551337801123425777/100000000000000000000000000 16638916189533919315895407/1000000000000000000000000000 -1663891594766145014100693/100000000000000000000000000 2704216563254926979375899/500000000000000000000000000 -4544599905213343076027207/31250000000000000000000000 139986919029545921392378741/1000000000000000000000000000 1360069361157012931670373/500000000000000000000000000
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--- Term 18 ---

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

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

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

Matrix :
1156874672557674566750151/7812500000000000000000000 97601115216411000773127/3906250000000000000000000 -27084352863319080390207/976562500000000000000000 -32130801686308925614779/1562500000000000000000000 -662471425749537785869623/7812500000000000000000000 -518395185506568440346543/3906250000000000000000000
97601115216411000773127/3906250000000000000000000 8234234803003027166279/1953125000000000000000000 -2285003818547121101439/488281250000000000000000 -2710753508370846271483/781250000000000000000000 -55890194059838629700471/3906250000000000000000000 -43735029755988492003311/1953125000000000000000000
-27084352863319080390207/976562500000000000000000 -2285003818547121101439/488281250000000000000000 634089575496527802999/122070312500000000000000 752235303699185998803/195312500000000000000000 15509553698844643435311/976562500000000000000000 12136490200675290491751/488281250000000000000000
-32130801686308925614779/1562500000000000000000000 -2710753508370846271483/781250000000000000000000 752235303699185998803/195312500000000000000000 892394346158912940191/312500000000000000000000 18399346539885073468267/1562500000000000000000000 14397802368534860066947/781250000000000000000000
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

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

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

Matrix :
5776081005572698385188511/500000000000000000000000000 5776081005572698385188511/500000000000000000000000000 -5776081005572698385188511/500000000000000000000000000 0/1 0/1 0/1 -114327579308210026916457/5000000000000000000000000 -5569004116618594314423493/31250000000000000000000000 -5569004116618594314423493/31250000000000000000000000 5569004116618594314423493/31250000000000000000000000
5776081005572698385188511/500000000000000000000000000 5776081005572698385188511/500000000000000000000000000 -5776081005572698385188511/500000000000000000000000000 0/1 0/1 0/1 -114327579308210026916457/5000000000000000000000000 -5569004116618594314423493/31250000000000000000000000 -5569004116618594314423493/31250000000000000000000000 5569004116618594314423493/31250000000000000000000000
-5776081005572698385188511/500000000000000000000000000 -5776081005572698385188511/500000000000000000000000000 5776081005572698385188511/500000000000000000000000000 0/1 0/1 0/1 114327579308210026916457/5000000000000000000000000 5569004116618594314423493/31250000000000000000000000 5569004116618594314423493/31250000000000000000000000 -5569004116618594314423493/31250000000000000000000000
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5569004116618594314423493/31250000000000000000000000 5569004116618594314423493/31250000000000000000000000 -5569004116618594314423493/31250000000000000000000000 0/1 0/1 0/1 -110228848798378751151891/312500000000000000000000 -5369351091335643642549959/1953125000000000000000000 -5369351091335643642549959/1953125000000000000000000 5369351091335643642549959/1953125000000000000000000

