#Density : 15796127700159906975896587211/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 12, 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 :
36982266476816947726962757/500000000000000000000000000 -15926763463202619158705927/100000000000000000000000000 -20541259344107682038914427/500000000000000000000000000 39857760446177436077502997/250000000000000000000000000 -6174652286408751608900469/62500000000000000000000000 7025277592176094112563551/125000000000000000000000000
-15926763463202619158705927/100000000000000000000000000 6859011590644903049516797/20000000000000000000000000 8846287963853907753610297/100000000000000000000000000 -17165122186256519398040567/50000000000000000000000000 2659172511636169048750359/12500000000000000000000000 -3025502359193335691169861/25000000000000000000000000
-20541259344107682038914427/500000000000000000000000000 8846287963853907753610297/100000000000000000000000000 11409342250735079676953797/500000000000000000000000000 -22138410438242982193969067/250000000000000000000000000 3429620357484544663094859/62500000000000000000000000 -3902087749967942472635361/125000000000000000000000000
39857760446177436077502997/250000000000000000000000000 -17165122186256519398040567/50000000000000000000000000 -22138410438242982193969067/250000000000000000000000000 42956833615936899039480037/125000000000000000000000000 -6654751996457525737236549/31250000000000000000000000 7571516243126522208593871/62500000000000000000000000
-6174652286408751608900469/62500000000000000000000000 2659172511636169048750359/12500000000000000000000000 3429620357484544663094859/62500000000000000000000000 -6654751996457525737236549/31250000000000000000000000 1030935485848414811659173/7812500000000000000000000 -1172958027717934378525167/15625000000000000000000000
7025277592176094112563551/125000000000000000000000000 -3025502359193335691169861/25000000000000000000000000 -3902087749967942472635361/125000000000000000000000000 7571516243126522208593871/62500000000000000000000000 -1172958027717934378525167/15625000000000000000000000 1334545714716278451327693/31250000000000000000000000


--- 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 :
20988540296485220749903/7812500000000000000000000 258763887103262231949067/15625000000000000000000000 -213807792550609582574769/7812500000000000000000000 423427120964260565640751/15625000000000000000000000 -77753073253896900226507/3906250000000000000000000 -7595170120778902249951/390625000000000000000000
258763887103262231949067/15625000000000000000000000 3190252791424607854382263/31250000000000000000000000 -2635997297183577758231541/15625000000000000000000000 5220355783579846179717739/31250000000000000000000000 -958603465757565582370423/7812500000000000000000000 -93639467819132924216539/781250000000000000000000
-213807792550609582574769/7812500000000000000000000 -2635997297183577758231541/15625000000000000000000000 2178034847093192764740687/7812500000000000000000000 -4313402302426393591896273/15625000000000000000000000 792061416449502201572661/3906250000000000000000000 77371105118826496707873/390625000000000000000000
423427120964260565640751/15625000000000000000000000 5220355783579846179717739/31250000000000000000000000 -4313402302426393591896273/15625000000000000000000000 8542305669447001424983567/31250000000000000000000000 -1568606462810285147986219/7812500000000000000000000 -153226521332393142699967/781250000000000000000000
-77753073253896900226507/3906250000000000000000000 -958603465757565582370423/7812500000000000000000000 792061416449502201572661/3906250000000000000000000 -1568606462810285147986219/7812500000000000000000000 288040059719553471049783/1953125000000000000000000 28136678894035578501019/195312500000000000000000
-7595170120778902249951/390625000000000000000000 -93639467819132924216539/781250000000000000000000 77371105118826496707873/390625000000000000000000 -153226521332393142699967/781250000000000000000000 28136678894035578501019/195312500000000000000000 2748481235411731296367/19531250000000000000000


--- 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 :
146927235621467257129761731/125000000000000000000000000 254789472332324122340997113/250000000000000000000000000 213441731708852925531676959/500000000000000000000000000 -206664833539409262604472323/500000000000000000000000000 -3027151797979929851073011/7812500000000000000000000 6974661444359159365528741/500000000000000000000000000 550757883211208645555677289/500000000000000000000000000 -2142539447043394107736899/50000000000000000000000000 31537402200929405859733413/100000000000000000000000000 -1735182473327815807772641/3125000000000000000000000 -277033342315358381906626309/500000000000000000000000000 -27503412641765496362034037/62500000000000000000000000
254789472332324122340997113/250000000000000000000000000 680372518991986257156688981/500000000000000000000000000 114258347023648270531126931/200000000000000000000000000 -514578490902075829082084717/1000000000000000000000000000 -12287300449411156663107909/25000000000000000000000000 265408737681802213505825549/1000000000000000000000000000 1705718707321690062182017229/1000000000000000000000000000 207222522589776954956640973/500000000000000000000000000 287294417771655769322883293/1000000000000000000000000000 -11506251608088077430946163/15625000000000000000000000 -1058038881654033426662878253/1000000000000000000000000000 -411430650860408766427559133/500000000000000000000000000
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--- Term 9 ---

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

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

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

Matrix :
34877484767267577559712973/31250000000000000000000000 5957353289973974453632221/7812500000000000000000000 95680248007986997724757927/62500000000000000000000000 44176152061746332338705071/31250000000000000000000000
5957353289973974453632221/7812500000000000000000000 1017563578864237890075117/1953125000000000000000000 16342951450181738656517079/15625000000000000000000000 7545640019042375564169567/7812500000000000000000000
95680248007986997724757927/62500000000000000000000000 16342951450181738656517079/15625000000000000000000000 262481939851969187422741173/125000000000000000000000000 121189507027561269458849229/62500000000000000000000000
44176152061746332338705071/31250000000000000000000000 7545640019042375564169567/7812500000000000000000000 121189507027561269458849229/62500000000000000000000000 55953931999535771251796517/31250000000000000000000000


--- 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 :
101011024571871002589654831/125000000000000000000000000 791398567195882556132133439/500000000000000000000000000 356636433827142912373278857/250000000000000000000000000 60079919713673847718482153/250000000000000000000000000 -567114579285353168794351357/500000000000000000000000000 -162717077319239761358471147/500000000000000000000000000 -184850280335199359850322037/125000000000000000000000000 -153931190611087534818456043/250000000000000000000000000 -221622679641166672319351499/250000000000000000000000000 284934552589275285412005007/500000000000000000000000000
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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 :
1217288161066116138470736833/500000000000000000000000000 76040868115366106693561603/250000000000000000000000000 126164101410528957418628577/50000000000000000000000000 -89709738053286641448188473/62500000000000000000000000 601589530008459469755268177/500000000000000000000000000 344263476823298701048800423/250000000000000000000000000
76040868115366106693561603/250000000000000000000000000 40504832303397992858053/976562500000000000000000 19203443471607130306425231/62500000000000000000000000 -26239139430609400571394277/125000000000000000000000000 7490864605037441434223357/50000000000000000000000000 14665683244584404415469371/125000000000000000000000000
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344263476823298701048800423/250000000000000000000000000 14665683244584404415469371/125000000000000000000000000 194125196309229276691470681/125000000000000000000000000 -20652286351399409811199371/62500000000000000000000000 172110889984817829099227331/250000000000000000000000000 205015139742281671717158957/125000000000000000000000000


--- 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 :
983381113397726502079761/250000000000000000000000000 26817451409767404663222813/500000000000000000000000000 -30399200322195503010078279/250000000000000000000000000 17507895951497453040262689/500000000000000000000000000 -31673394081766557125773299/500000000000000000000000000 -7316067573650532044698749/62500000000000000000000000 6248037032587648017352017/250000000000000000000000000 10254827790806299907443461/250000000000000000000000000 4519000783785592091625687/250000000000000000000000000
26817451409767404663222813/500000000000000000000000000 731329583532856200675935929/1000000000000000000000000000 -829006238201511790611740507/500000000000000000000000000 477451867409061320414893037/1000000000000000000000000000 -863754342236031063295750167/1000000000000000000000000000 -199513986992341245083205017/125000000000000000000000000 170388089871804070344154461/500000000000000000000000000 279655915950313556743414913/500000000000000000000000000 123236131230086638711014571/500000000000000000000000000
-30399200322195503010078279/250000000000000000000000000 -829006238201511790611740507/500000000000000000000000000 939728623662529296130949281/250000000000000000000000000 -541220518676434019996697271/500000000000000000000000000 979117697561517031712087061/500000000000000000000000000 226161150251999035988399611/62500000000000000000000000 -193145187340311369590905863/250000000000000000000000000 -317006865431079556196182579/250000000000000000000000000 -139695595340253460059950993/250000000000000000000000000
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10254827790806299907443461/250000000000000000000000000 279655915950313556743414913/500000000000000000000000000 -317006865431079556196182579/250000000000000000000000000 182574645288460419513563989/500000000000000000000000000 -330294325804783552074811599/500000000000000000000000000 -76292916399894877373502049/62500000000000000000000000 65155353226570184747470917/250000000000000000000000000 106938695065786629940097161/250000000000000000000000000 47124735458995117898883587/250000000000000000000000000
4519000783785592091625687/250000000000000000000000000 123236131230086638711014571/500000000000000000000000000 -139695595340253460059950993/250000000000000000000000000 80455272578795593337083463/500000000000000000000000000 -145550988045835613105211333/500000000000000000000000000 -33620042778047057420081483/62500000000000000000000000 28712046492157354021350039/250000000000000000000000000 47124735458995117898883587/250000000000000000000000000 20766483925337921994284929/250000000000000000000000000


--- Term 13 ---

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

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

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

Matrix :
74510535856695367552238099/250000000000000000000000000 34873788093733411/500000000000000000000000000 -23201294572118359653134957/100000000000000000000000000 116006473880982675725633329/500000000000000000000000000 58003236334174540932637537/250000000000000000000000000 44242879557688481676937917/100000000000000000000000000 -148256391204433319/500000000000000000000000000
34873788093733411/500000000000000000000000000 2243850078180799521354311/1000000000000000000000000000 -5694377326572317447877241/200000000000000000000000000 5694377120543663616901217/200000000000000000000000000 -2847188552952168164196523/100000000000000000000000000 80744403492835993/1000000000000000000000000000 874297820418165329206469/200000000000000000000000000
-23201294572118359653134957/100000000000000000000000000 -5694377326572317447877241/200000000000000000000000000 1517209608933830082942399209/1000000000000000000000000000 433434264129743618931238607/1000000000000000000000000000 -99332299617915637515072913/125000000000000000000000000 -344411724026842739359175293/1000000000000000000000000000 -11093837455914570587889881/200000000000000000000000000
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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 :
4158430504121918699229003/6250000000000000000000000 -5694866894010540479815671/62500000000000000000000000 -759270502463226753488303289/1000000000000000000000000000 187565902331803587616192407/200000000000000000000000000 -386381562947673557196768627/1000000000000000000000000000 944766696910843733695607499/1000000000000000000000000000 -436028450791679024741043681/1000000000000000000000000000 -41804373611428944748702767/100000000000000000000000000 -741590724783676970026773/1600000000000000000000000 272762634386935990414985811/1000000000000000000000000000 -387515781308966952364614717/500000000000000000000000000 586743399095888246420613819/1000000000000000000000000000
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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 :
347093209016170256197831113/40000000000000000000000000 -48626286969405556471227243/6250000000000000000000000 75035220280477204132269291/100000000000000000000000000 -60670562411494000148194713/100000000000000000000000000
-48626286969405556471227243/6250000000000000000000000 902991105022991782637224359/125000000000000000000000000 31207594982771294719002009/250000000000000000000000000 54658235439178005726046157/62500000000000000000000000
75035220280477204132269291/100000000000000000000000000 31207594982771294719002009/250000000000000000000000000 1314556522690758584539609449/500000000000000000000000000 252557325595079134205301059/250000000000000000000000000
-60670562411494000148194713/100000000000000000000000000 54658235439178005726046157/62500000000000000000000000 252557325595079134205301059/250000000000000000000000000 120707897007179704145568033/250000000000000000000000000


--- 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 :
18647546437339714728019419/125000000000000000000000000 308867837308394369621349/7812500000000000000000000 -5419405410099837704489427/125000000000000000000000000 -5891227509827900081429481/62500000000000000000000000 9569770464394882803429069/125000000000000000000000000 -16852192069164615079619877/125000000000000000000000000
308867837308394369621349/7812500000000000000000000 16370941452336109461709/1562500000000000000000000 -89764089468736897094519/7812500000000000000000000 -780632757737472882407671/31250000000000000000000000 634033934020774923583693/31250000000000000000000000 -223304449657179333652859/6250000000000000000000000
-5419405410099837704489427/125000000000000000000000000 -89764089468736897094519/7812500000000000000000000 2207622345004750513785487/25000000000000000000000000 342425212582087137031513/12500000000000000000000000 -2781195162949379724880573/125000000000000000000000000 4897634184143884945755877/125000000000000000000000000
-5891227509827900081429481/62500000000000000000000000 -780632757737472882407671/31250000000000000000000000 342425212582087137031513/12500000000000000000000000 59557967803089620958913/1000000000000000000000000 -6046660906519192865186093/125000000000000000000000000 10648060092234802436941667/125000000000000000000000000
9569770464394882803429069/125000000000000000000000000 634033934020774923583693/31250000000000000000000000 -2781195162949379724880573/125000000000000000000000000 -6046660906519192865186093/125000000000000000000000000 1227782258767090315427327/31250000000000000000000000 -4324204539876412145812063/62500000000000000000000000
-16852192069164615079619877/125000000000000000000000000 -223304449657179333652859/6250000000000000000000000 4897634184143884945755877/125000000000000000000000000 10648060092234802436941667/125000000000000000000000000 -4324204539876412145812063/62500000000000000000000000 6091876558459024260953/50000000000000000000000


--- 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 :
684457711956124490727324461/200000000000000000000000000 -684457711956124490727324461/200000000000000000000000000 -449203849480275751/200000000000000000000000000 -36582235496653465385719139/125000000000000000000000000 11706315529038925799150783/40000000000000000000000000 -292657887284465026816612213/1000000000000000000000000000 0/1 -369786944702162785971292091/1000000000000000000000000000 369786944702162785971292091/1000000000000000000000000000 2341032117053647153/1000000000000000000000000000
-684457711956124490727324461/200000000000000000000000000 684457711956124490727324461/200000000000000000000000000 449203849480275751/200000000000000000000000000 36582235496653465385719139/125000000000000000000000000 -11706315529038925799150783/40000000000000000000000000 292657887284465026816612213/1000000000000000000000000000 0/1 369786944702162785971292091/1000000000000000000000000000 -369786944702162785971292091/1000000000000000000000000000 -2341032117053647153/1000000000000000000000000000
-449203849480275751/200000000000000000000000000 449203849480275751/200000000000000000000000000 3422288563781410990433801481/1000000000000000000000000000 -36582235697205080430168121/125000000000000000000000000 292657884549030730685946267/1000000000000000000000000000 292657885666890690724843827/1000000000000000000000000000 0/1 66417515371325413/1000000000000000000000000000 -66417515371325413/1000000000000000000000000000 -369786944546275981810186779/1000000000000000000000000000
-36582235496653465385719139/125000000000000000000000000 36582235496653465385719139/125000000000000000000000000 -36582235697205080430168121/125000000000000000000000000 1103184734211081723088976101/1000000000000000000000000000 -255912799410796144469343197/500000000000000000000000000 -147839784086864115213256181/500000000000000000000000000 0/1 4308287100146346748844951/1000000000000000000000000000 -4308287100146346748844951/1000000000000000000000000000 2154143741604457435729883/500000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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369786944702162785971292091/1000000000000000000000000000 -369786944702162785971292091/1000000000000000000000000000 -66417515371325413/1000000000000000000000000000 -4308287100146346748844951/1000000000000000000000000000 4308287569414494989593013/1000000000000000000000000000 -4308286888227003898312249/1000000000000000000000000000 0/1 -5259469801380871562228629/31250000000000000000000000 5259469801380871562228629/31250000000000000000000000 325762217406105731/1000000000000000000000000000
2341032117053647153/1000000000000000000000000000 -2341032117053647153/1000000000000000000000000000 -369786944546275981810186779/1000000000000000000000000000 2154143741604457435729883/500000000000000000000000000 -4308286802491453120742191/1000000000000000000000000000 -4308287651758152576737411/1000000000000000000000000000 0/1 -325762217406105731/1000000000000000000000000000 325762217406105731/1000000000000000000000000000 168303033168333914387378587/1000000000000000000000000000


--- 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 :
51794067545798243276317/320000000000000000000000 -115579496226009360841611/8000000000000000000000000 4617990999056578562811/125000000000000000000000 -423861124331451362921183/2000000000000000000000000 -460870446481603120072747/2000000000000000000000000 533690593998516280853527/4000000000000000000000000
-115579496226009360841611/8000000000000000000000000 257917954330308637529613/200000000000000000000000000 -10305139150835136669213/3125000000000000000000000 945854564843755316300889/50000000000000000000000000 1028441606419478023112301/50000000000000000000000000 -1190941220060872624099041/100000000000000000000000000
4617990999056578562811/125000000000000000000000 -10305139150835136669213/3125000000000000000000000 411742924969360128813/48828125000000000000000 -37791719201853559579689/781250000000000000000000 -41091493185031502181501/781250000000000000000000 47584182439176747176241/1562500000000000000000000
-423861124331451362921183/2000000000000000000000000 945854564843755316300889/50000000000000000000000000 -37791719201853559579689/781250000000000000000000 3468703294265536362131317/12500000000000000000000000 3771572206490615937149753/12500000000000000000000000 -4367502031334135311018973/25000000000000000000000000
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--- Term 19 ---

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

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

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

Matrix :
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-72150475817794132553665677/1000000000000000000000000000 72150475817794132553665677/1000000000000000000000000000 8916618413153517/50000000000000000000000000 10295652381189462562233051/1000000000000000000000000000 -10295652381189462562233051/1000000000000000000000000000 257391307625544867148803/25000000000000000000000000 0/1 199625805642813513291280101/1000000000000000000000000000 -199625805642813513291280101/1000000000000000000000000000 113840803088876481/500000000000000000000000000
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199625805642813513291280101/1000000000000000000000000000 -199625805642813513291280101/1000000000000000000000000000 -33505940456506191/50000000000000000000000000 -28485992311184154936267963/1000000000000000000000000000 28485992311184154936267963/1000000000000000000000000000 -89018725471485302670453/3125000000000000000000000 0/1 -552324317017383043316190213/1000000000000000000000000000 552324317017383043316190213/1000000000000000000000000000 -70515269255374653/500000000000000000000000000
-113840803088876481/500000000000000000000000000 113840803088876481/500000000000000000000000000 -2495322578077134334092717/12500000000000000000000000 14242996226508373090636803/500000000000000000000000000 -14242996226508373090636803/500000000000000000000000000 -712149810143999063122917/25000000000000000000000000 0/1 70515269255374653/500000000000000000000000000 -70515269255374653/500000000000000000000000000 138081079510739586088869543/250000000000000000000000000

