#Density : 43137647105359260353875989361/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 11, 12}
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 :
212797377890649441436383691/1000000000000000000000000000 382195212628169543289784143/1000000000000000000000000000 -437311343256956398302214257/1000000000000000000000000000 -148192734588651107269993907/500000000000000000000000000 427272147407677538747139/40000000000000000000000000 35867537605335441279241549/1000000000000000000000000000
382195212628169543289784143/1000000000000000000000000000 765172202447883842495260739/1000000000000000000000000000 -31417361146287837897459699/40000000000000000000000000 -34601838535029159342960539/62500000000000000000000000 18605734868307289903606193/1000000000000000000000000000 29505421195498164615851991/1000000000000000000000000000
-437311343256956398302214257/1000000000000000000000000000 -31417361146287837897459699/40000000000000000000000000 898700974781169521403022287/1000000000000000000000000000 38068116993976922469297921/62500000000000000000000000 -21951745682002878895677861/1000000000000000000000000000 -36854967874719053949294073/500000000000000000000000000
-148192734588651107269993907/500000000000000000000000000 -34601838535029159342960539/62500000000000000000000000 38068116993976922469297921/62500000000000000000000000 109642873974643856304122949/250000000000000000000000000 -3965398520784494199645071/250000000000000000000000000 -55820552040473122395830281/1000000000000000000000000000
427272147407677538747139/40000000000000000000000000 18605734868307289903606193/1000000000000000000000000000 -21951745682002878895677861/1000000000000000000000000000 -3965398520784494199645071/250000000000000000000000000 2643390516672322911077761/125000000000000000000000000 -1442780042752479216503591/100000000000000000000000000
35867537605335441279241549/1000000000000000000000000000 29505421195498164615851991/1000000000000000000000000000 -36854967874719053949294073/500000000000000000000000000 -55820552040473122395830281/1000000000000000000000000000 -1442780042752479216503591/100000000000000000000000000 17306008110946334634764577/200000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 10896173849680231923126011/250000000000000000000000000 -43584695474398883600565411/500000000000000000000000000 -4261643912029960560491963/125000000000000000000000000 0/1 17142555977030500163496249/250000000000000000000000000
0/1 -43584695474398883600565411/500000000000000000000000000 174338782200307358567042031/1000000000000000000000000000 17046575681436406539732783/250000000000000000000000000 0/1 -68570224042547583588332439/500000000000000000000000000
0/1 -4261643912029960560491963/125000000000000000000000000 17046575681436406539732783/250000000000000000000000000 6060419127684412355384549/62500000000000000000000000 0/1 -15310015146079949562059357/125000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
0/1 17142555977030500163496249/250000000000000000000000000 -68570224042547583588332439/500000000000000000000000000 -15310015146079949562059357/125000000000000000000000000 0/1 30558689303132359724452373/125000000000000000000000000


--- 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 1419384723697582663556917/15625000000000000000000000 -19377106390297179416457/488281250000000000000000
0/1 0/1 -19377106390297179416457/488281250000000000000000 3096136533863258735107387/62500000000000000000000000


--- 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 :
28078642567463173783206351/250000000000000000000000000 -1646241139427854998864729/250000000000000000000000000 -9045946230457999714155819/250000000000000000000000000
-1646241139427854998864729/250000000000000000000000000 3553800723762493036825057/500000000000000000000000000 -1413203503634090194917549/250000000000000000000000000
-9045946230457999714155819/250000000000000000000000000 -1413203503634090194917549/250000000000000000000000000 11049066746026073466642411/250000000000000000000000000


--- 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 :
7982469/1000000000


--- 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 2964973/50000000


--- 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 :
1339461/31250000


--- 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 :
2394834916023026286655490199/500000000000000000000000000 -5194514534948177897883088097/1000000000000000000000000000 269545344371474589033189783/500000000000000000000000000 276890823326730845581122669/500000000000000000000000000 -1832907387508742181073956941/1000000000000000000000000000 1495730644842300639666473207/1000000000000000000000000000 768282907079716118863536739/1000000000000000000000000000 461605176524318793012303291/500000000000000000000000000 -262430656861503594387441633/250000000000000000000000000 61784822235270793751351173/125000000000000000000000000 -435993185316395446905825381/200000000000000000000000000 4966078972163069966946317/5000000000000000000000000
-5194514534948177897883088097/1000000000000000000000000000 6256703164658421255971885699/1000000000000000000000000000 -896219391249861524732459563/1000000000000000000000000000 -226403969759035955237226871/500000000000000000000000000 682354228922927309148397477/500000000000000000000000000 -103829215656431230120844357/100000000000000000000000000 -336239815028729180383589167/1000000000000000000000000000 -858005394660539958085794827/1000000000000000000000000000 1438397413428394830931897083/1000000000000000000000000000 -260262031991414374410502017/500000000000000000000000000 11503241267611041972756253/10000000000000000000000000 -26013399015960485288417737/31250000000000000000000000
269545344371474589033189783/500000000000000000000000000 -896219391249861524732459563/1000000000000000000000000000 216457310079184556591599541/1000000000000000000000000000 -11561258499885016870215197/1000000000000000000000000000 52631733640311214332302037/500000000000000000000000000 -61791787348693735156618729/500000000000000000000000000 -162018548463376132233143871/1000000000000000000000000000 6458090387408859027736503/200000000000000000000000000 -268122931561323598949366291/1000000000000000000000000000 11966459554088261472980651/250000000000000000000000000 361589978757910148357351277/1000000000000000000000000000 -10579868643115451803873059/1000000000000000000000000000
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768282907079716118863536739/1000000000000000000000000000 -336239815028729180383589167/1000000000000000000000000000 -162018548463376132233143871/1000000000000000000000000000 -2690099344072263932658359/62500000000000000000000000 -790987809886219450390637319/1000000000000000000000000000 516806345183892546056310617/1000000000000000000000000000 1488347105531400612313749549/500000000000000000000000000 -406825150956213969476695301/1000000000000000000000000000 5384155818864735469343061/250000000000000000000000000 -46361844995913658713057351/500000000000000000000000000 -686299803361973853096811611/500000000000000000000000000 -16994396141593575524874491/100000000000000000000000000
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61784822235270793751351173/125000000000000000000000000 -260262031991414374410502017/500000000000000000000000000 11966459554088261472980651/250000000000000000000000000 -311384994731268970070420763/1000000000000000000000000000 -799544367346274988506211/3906250000000000000000000 -57878442939054640507288077/1000000000000000000000000000 -46361844995913658713057351/500000000000000000000000000 -18059026744719856872132587/500000000000000000000000000 -425515107800595806975779487/1000000000000000000000000000 1940047034718171426077910177/1000000000000000000000000000 -64636617873479097787973373/250000000000000000000000000 -188850172224672009809445287/1000000000000000000000000000
-435993185316395446905825381/200000000000000000000000000 11503241267611041972756253/10000000000000000000000000 361589978757910148357351277/1000000000000000000000000000 -544327192831724773139837003/1000000000000000000000000000 409626045458925688875295557/200000000000000000000000000 -1842185731801332468322984221/1000000000000000000000000000 -686299803361973853096811611/500000000000000000000000000 -729440171236782620266689433/1000000000000000000000000000 -30138444589801717696243931/250000000000000000000000000 -64636617873479097787973373/250000000000000000000000000 698134425157774800275198817/200000000000000000000000000 -949852219032572017752609043/1000000000000000000000000000
4966078972163069966946317/5000000000000000000000000 -26013399015960485288417737/31250000000000000000000000 -10579868643115451803873059/1000000000000000000000000000 199917074423618135642920583/1000000000000000000000000000 -124964250508614433737271867/200000000000000000000000000 190495061075599510663288611/1000000000000000000000000000 -16994396141593575524874491/100000000000000000000000000 -660323035588898962044639617/1000000000000000000000000000 -159177708304212407567517349/500000000000000000000000000 -188850172224672009809445287/1000000000000000000000000000 -949852219032572017752609043/1000000000000000000000000000 3645957402621611168077363943/1000000000000000000000000000


--- 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 :
1254440308491572667726922311/250000000000000000000000000 604422472202171157497545159/250000000000000000000000000 1632891189977699560928610077/500000000000000000000000000 526738473287455393343295463/500000000000000000000000000
604422472202171157497545159/250000000000000000000000000 4516969857190358501331024049/1000000000000000000000000000 1738634753065564665797854857/1000000000000000000000000000 1016164225996390131763490909/1000000000000000000000000000
1632891189977699560928610077/500000000000000000000000000 1738634753065564665797854857/1000000000000000000000000000 1057212161273907644727463043/250000000000000000000000000 382864293915285663691973061/500000000000000000000000000
526738473287455393343295463/500000000000000000000000000 1016164225996390131763490909/1000000000000000000000000000 382864293915285663691973061/500000000000000000000000000 1370058016846603756660732961/250000000000000000000000000


--- 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 :
2943096209157905799741750319/1000000000000000000000000000 1037739143312056596632469/3906250000000000000000000 -33592256275244223831488129/1000000000000000000000000000 -9834023537563242403580247/125000000000000000000000000 -13772251993523654731172573/200000000000000000000000000 -41213098351395404692070569/1000000000000000000000000000 -2211173847612377057352171/125000000000000000000000000 -289679858194207111286856789/500000000000000000000000000 -120675796555879944552220481/250000000000000000000000000 -47675112503045057314460987/40000000000000000000000000
1037739143312056596632469/3906250000000000000000000 2372148442093821235465657297/1000000000000000000000000000 178036683916731896628595059/200000000000000000000000000 -17250957728410762931894093/31250000000000000000000000 -199914301772985735350910543/500000000000000000000000000 -125549330542191184280887009/500000000000000000000000000 14963062657494308253396631/1000000000000000000000000000 -439613925564372079133825897/500000000000000000000000000 -22949721951849719740435561/31250000000000000000000000 -218539576174418209602587039/500000000000000000000000000
-33592256275244223831488129/1000000000000000000000000000 178036683916731896628595059/200000000000000000000000000 1839493442081492158974638371/500000000000000000000000000 -26679457910366178455148947/25000000000000000000000000 -222235011318749286415895363/1000000000000000000000000000 -385744187918668576154290403/1000000000000000000000000000 361951924447521158945160677/1000000000000000000000000000 -448917304884461419435774881/250000000000000000000000000 -165316916893344795055508813/250000000000000000000000000 13662936773139217967957127/1000000000000000000000000000
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-47675112503045057314460987/40000000000000000000000000 -218539576174418209602587039/500000000000000000000000000 13662936773139217967957127/1000000000000000000000000000 -141037888103921842894473917/500000000000000000000000000 -132545821314357198243530447/1000000000000000000000000000 -211613252081406119523033387/1000000000000000000000000000 27479096328783263096657821/500000000000000000000000000 -96682313391007373982150401/500000000000000000000000000 8970908612059446266923767/100000000000000000000000000 3373989558358148559112898601/1000000000000000000000000000


--- 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 :
2963836914714112597758110541/1000000000000000000000000000 302510772911314088827661589/1000000000000000000000000000 206082093181082491859193163/250000000000000000000000000 -817850601733025329514963/1000000000000000000000000000 56267556162521327434276743/500000000000000000000000000 127398138244580974557771827/500000000000000000000000000
302510772911314088827661589/1000000000000000000000000000 818881037910582912545500953/500000000000000000000000000 436996187720008752966574743/1000000000000000000000000000 9768388981157550173530239/1000000000000000000000000000 -41700137440693712342291391/500000000000000000000000000 2814621169320285076203363/100000000000000000000000000
206082093181082491859193163/250000000000000000000000000 436996187720008752966574743/1000000000000000000000000000 2597655827522197344015431323/500000000000000000000000000 266322014494828641674307/125000000000000000000000000 13644354781819684368812699/100000000000000000000000000 181611582295673337090397117/500000000000000000000000000
-817850601733025329514963/1000000000000000000000000000 9768388981157550173530239/1000000000000000000000000000 266322014494828641674307/125000000000000000000000000 1191776073752187248968323691/1000000000000000000000000000 -151804002558723494183741723/500000000000000000000000000 25394485650792312632174529/500000000000000000000000000
56267556162521327434276743/500000000000000000000000000 -41700137440693712342291391/500000000000000000000000000 13644354781819684368812699/100000000000000000000000000 -151804002558723494183741723/500000000000000000000000000 269523468762896544202587297/250000000000000000000000000 12784743608805375674339731/125000000000000000000000000
127398138244580974557771827/500000000000000000000000000 2814621169320285076203363/100000000000000000000000000 181611582295673337090397117/500000000000000000000000000 25394485650792312632174529/500000000000000000000000000 12784743608805375674339731/125000000000000000000000000 277699157417537820992788339/125000000000000000000000000


--- 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 :
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 0/1 0/1
0/1 0/1 102291374307470695245425977/100000000000000000000000000 -66573672609536128545416637/500000000000000000000000000 -43990119630563955251322389/250000000000000000000000000 -17924864039809091972835649/500000000000000000000000000 0/1 -11384133419837867163855243/100000000000000000000000000 -20629132766424585215413933/250000000000000000000000000
0/1 0/1 -66573672609536128545416637/500000000000000000000000000 282066526508869691383115227/1000000000000000000000000000 -17640045984741665991609837/500000000000000000000000000 -28130751665682158827595773/200000000000000000000000000 0/1 -18939336310916713099436303/500000000000000000000000000 -7850756396629651805826527/500000000000000000000000000
0/1 0/1 -43990119630563955251322389/250000000000000000000000000 -17640045984741665991609837/500000000000000000000000000 559205333397300263237522809/500000000000000000000000000 -75198008199133687166859603/500000000000000000000000000 0/1 -3634968225139422218971143/125000000000000000000000000 -117396619366498587882990727/500000000000000000000000000
0/1 0/1 -17924864039809091972835649/500000000000000000000000000 -28130751665682158827595773/200000000000000000000000000 -75198008199133687166859603/500000000000000000000000000 940892580077071963929118043/1000000000000000000000000000 0/1 -2476479600342484108064491/100000000000000000000000000 -89346325543746208690874573/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 -11384133419837867163855243/100000000000000000000000000 -18939336310916713099436303/500000000000000000000000000 -3634968225139422218971143/125000000000000000000000000 -2476479600342484108064491/100000000000000000000000000 0/1 107785756856064608970816553/500000000000000000000000000 -10485943932107873379630739/125000000000000000000000000
0/1 0/1 -20629132766424585215413933/250000000000000000000000000 -7850756396629651805826527/500000000000000000000000000 -117396619366498587882990727/500000000000000000000000000 -89346325543746208690874573/500000000000000000000000000 0/1 -10485943932107873379630739/125000000000000000000000000 584519153451473977469089377/500000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 2379127719675866149585539487/1000000000000000000000000000 4917789317797391101459969/250000000000000000000000000 -19671289782072574852936563/1000000000000000000000000000 3934245137816073814647283/200000000000000000000000000 643513678483254229/100000000000000000000000000 -62896474804549692964961899/1000000000000000000000000000
0/1 4917789317797391101459969/250000000000000000000000000 1584267990471048071024251043/500000000000000000000000000 -53186366717290538191779331/50000000000000000000000000 -69318865008572626126597627/50000000000000000000000000 -5260530074675293902220811/62500000000000000000000000 10513620733870552674456843/250000000000000000000000000
0/1 -19671289782072574852936563/1000000000000000000000000000 -53186366717290538191779331/50000000000000000000000000 3168536196835815717532270801/1000000000000000000000000000 -28737192756678263163431887/40000000000000000000000000 42084184812920177774897677/500000000000000000000000000 -8410890483987414729225863/200000000000000000000000000
0/1 3934245137816073814647283/200000000000000000000000000 -69318865008572626126597627/50000000000000000000000000 -28737192756678263163431887/40000000000000000000000000 1584267407014130661114936087/500000000000000000000000000 84168426020202064788332117/1000000000000000000000000000 42054464996210140239394267/1000000000000000000000000000
0/1 643513678483254229/100000000000000000000000000 -5260530074675293902220811/62500000000000000000000000 42084184812920177774897677/500000000000000000000000000 84168426020202064788332117/1000000000000000000000000000 458968075657004820058551911/200000000000000000000000000 -159708941634351121/50000000000000000000000000
0/1 -62896474804549692964961899/1000000000000000000000000000 10513620733870552674456843/250000000000000000000000000 -8410890483987414729225863/200000000000000000000000000 42054464996210140239394267/1000000000000000000000000000 -159708941634351121/50000000000000000000000000 718033234828376742267701173/1000000000000000000000000000


--- Term 14 ---

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

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

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

Matrix :
710202604246416750493718517/250000000000000000000000000 -100341428334957234937268217/200000000000000000000000000 -149681067280629388643558153/1000000000000000000000000000 -111617649627537848540873373/1000000000000000000000000000 -33850023867329178493985817/125000000000000000000000000 -111562973192911115480145949/1000000000000000000000000000 18440022730478822882366637/1000000000000000000000000000 -4218239295393655882032757/100000000000000000000000000 -78914184802314934818992501/1000000000000000000000000000 -269468009860698242029263/62500000000000000000000000 -108339114749872276263494331/250000000000000000000000000 -278365519491225821263225493/1000000000000000000000000000
-100341428334957234937268217/200000000000000000000000000 3817606314026136314898209277/1000000000000000000000000000 -95934419271910959382944341/250000000000000000000000000 14143091844758221125800219/125000000000000000000000000 -90322335513323540817709537/200000000000000000000000000 -42906338073070709723224939/500000000000000000000000000 -13513424514949835682631951/500000000000000000000000000 -20490447405092669412481471/200000000000000000000000000 -366955146734643191531313983/1000000000000000000000000000 33497189963360689707698247/1000000000000000000000000000 -570424089366690728928407091/1000000000000000000000000000 -130583599370299861766783527/1000000000000000000000000000
-149681067280629388643558153/1000000000000000000000000000 -95934419271910959382944341/250000000000000000000000000 2052109138213568890953830913/1000000000000000000000000000 -49541105024476778340233979/125000000000000000000000000 -19062765586995259085964167/1000000000000000000000000000 -15896088732336199032934669/500000000000000000000000000 18002414417465483864987831/500000000000000000000000000 96152179643262100096946363/1000000000000000000000000000 -242549636222868769673819669/1000000000000000000000000000 -184027360885409301936321447/1000000000000000000000000000 -176533612655456866888877479/1000000000000000000000000000 -33466069763063054174220069/200000000000000000000000000
-111617649627537848540873373/1000000000000000000000000000 14143091844758221125800219/125000000000000000000000000 -49541105024476778340233979/125000000000000000000000000 1543270346021439103276756481/1000000000000000000000000000 -150485918176280028062482469/500000000000000000000000000 9756568590744962391124387/200000000000000000000000000 -546249357543420936924437/12500000000000000000000000 -1595004699275569520944161/15625000000000000000000000 -154192171413981722522513837/250000000000000000000000000 -29645025746857641071703091/500000000000000000000000000 -227821486876181498421001959/1000000000000000000000000000 35861563793960573237388123/200000000000000000000000000
-33850023867329178493985817/125000000000000000000000000 -90322335513323540817709537/200000000000000000000000000 -19062765586995259085964167/1000000000000000000000000000 -150485918176280028062482469/500000000000000000000000000 246375883221240712609851777/100000000000000000000000000 -395859496274267205292549653/1000000000000000000000000000 1224038931048082177157871/25000000000000000000000000 4521367568713221469800951/62500000000000000000000000 43121139020501012924784321/250000000000000000000000000 -36136311898354306767288701/1000000000000000000000000000 -106328105111261571542298133/1000000000000000000000000000 -323839942703149156798303567/1000000000000000000000000000
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18440022730478822882366637/1000000000000000000000000000 -13513424514949835682631951/500000000000000000000000000 18002414417465483864987831/500000000000000000000000000 -546249357543420936924437/12500000000000000000000000 1224038931048082177157871/25000000000000000000000000 -2617390463965928676082909/100000000000000000000000000 34371491196051170063007343/1000000000000000000000000000 1963007379702881203309601/100000000000000000000000000 51613285924713611847980933/1000000000000000000000000000 -8250972517207416669282109/250000000000000000000000000 37420259930465702440964163/1000000000000000000000000000 -27011617485534207558154901/250000000000000000000000000
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-269468009860698242029263/62500000000000000000000000 33497189963360689707698247/1000000000000000000000000000 -184027360885409301936321447/1000000000000000000000000000 -29645025746857641071703091/500000000000000000000000000 -36136311898354306767288701/1000000000000000000000000000 1718482720840241654114707/500000000000000000000000000 -8250972517207416669282109/250000000000000000000000000 -59762590515043515701858879/500000000000000000000000000 -175417577442984174504811921/1000000000000000000000000000 212185286997030151557355077/500000000000000000000000000 -7499895875568749656186859/125000000000000000000000000 70112112416408886821243833/1000000000000000000000000000
-108339114749872276263494331/250000000000000000000000000 -570424089366690728928407091/1000000000000000000000000000 -176533612655456866888877479/1000000000000000000000000000 -227821486876181498421001959/1000000000000000000000000000 -106328105111261571542298133/1000000000000000000000000000 -93607880389062970570794497/1000000000000000000000000000 37420259930465702440964163/1000000000000000000000000000 -2657911593257580262442777/500000000000000000000000000 16970263599911696187784853/500000000000000000000000000 -7499895875568749656186859/125000000000000000000000000 1411143884852077202640812139/500000000000000000000000000 -194978104495352134868844591/500000000000000000000000000
-278365519491225821263225493/1000000000000000000000000000 -130583599370299861766783527/1000000000000000000000000000 -33466069763063054174220069/200000000000000000000000000 35861563793960573237388123/200000000000000000000000000 -323839942703149156798303567/1000000000000000000000000000 5168172513500828764929667/50000000000000000000000000 -27011617485534207558154901/250000000000000000000000000 -124735569036985477592115253/500000000000000000000000000 -299034458007523951692356739/1000000000000000000000000000 70112112416408886821243833/1000000000000000000000000000 -194978104495352134868844591/500000000000000000000000000 1449429620785919136560763197/1000000000000000000000000000


--- 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 :
3146064646004207769688613313/500000000000000000000000000 117208845119137823174021817/100000000000000000000000000 21544947353265510923073281/200000000000000000000000000 -54141081462049774987076291/1000000000000000000000000000
117208845119137823174021817/100000000000000000000000000 3922813683267261480547718593/1000000000000000000000000000 14699938653533711452628293/125000000000000000000000000 124140457259340531493385997/500000000000000000000000000
21544947353265510923073281/200000000000000000000000000 14699938653533711452628293/125000000000000000000000000 673425082117245086463856763/250000000000000000000000000 208390102491135957367374221/1000000000000000000000000000
-54141081462049774987076291/1000000000000000000000000000 124140457259340531493385997/500000000000000000000000000 208390102491135957367374221/1000000000000000000000000000 282711279883410229828334439/250000000000000000000000000


--- 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 :
1022594541276717705493509437/1000000000000000000000000000 -3919154368676137257337617/62500000000000000000000000 -20736593961747011682428843/500000000000000000000000000 -19320891219792502364297839/500000000000000000000000000 -3145501647142049112740291/200000000000000000000000000 -28074319186547680531787971/250000000000000000000000000
-3919154368676137257337617/62500000000000000000000000 48025425953077951307597339/125000000000000000000000000 -44350709641097281060070369/500000000000000000000000000 -15036815298257094356013281/500000000000000000000000000 -264854562566368708224633/7812500000000000000000000 -844776984077723584111629/20000000000000000000000000
-20736593961747011682428843/500000000000000000000000000 -44350709641097281060070369/500000000000000000000000000 5625057586087954553421471/25000000000000000000000000 24211059546881981545817/62500000000000000000000000 -4074268594244176028568283/250000000000000000000000000 -2739600588076189807571177/125000000000000000000000000
-19320891219792502364297839/500000000000000000000000000 -15036815298257094356013281/500000000000000000000000000 24211059546881981545817/62500000000000000000000000 91486252127596057999428363/500000000000000000000000000 -1546340846446159753450391/100000000000000000000000000 -13656619308497199009835081/500000000000000000000000000
-3145501647142049112740291/200000000000000000000000000 -264854562566368708224633/7812500000000000000000000 -4074268594244176028568283/250000000000000000000000000 -1546340846446159753450391/100000000000000000000000000 54891139548205068844562171/1000000000000000000000000000 -983378822153573813317483/250000000000000000000000000
-28074319186547680531787971/250000000000000000000000000 -844776984077723584111629/20000000000000000000000000 -2739600588076189807571177/125000000000000000000000000 -13656619308497199009835081/500000000000000000000000000 -983378822153573813317483/250000000000000000000000000 81497452515698524327003099/500000000000000000000000000


--- 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 :
2336947238257717464186419479/1000000000000000000000000000 -1314271718740874426060166977/1000000000000000000000000000 -255668907439745395127342551/500000000000000000000000000 -1820275565316705538168399/15625000000000000000000000 23299528422150895981813269/200000000000000000000000000 -58248821444692497002492357/500000000000000000000000000 4354223433266958478636363/250000000000000000000000000 -5008292512627520548857477/200000000000000000000000000 -73561482153560099649189/2500000000000000000000000 680825661154102116360211/25000000000000000000000000
-1314271718740874426060166977/1000000000000000000000000000 233694724045664217061577101/100000000000000000000000000 -255668906675540894126645781/500000000000000000000000000 116497644060052241657041237/1000000000000000000000000000 -14562206064630307579448349/125000000000000000000000000 5824881780137396972696359/50000000000000000000000000 3483377963832970115163401/200000000000000000000000000 -14712296123629506218368337/500000000000000000000000000 -12520731604061609549287029/500000000000000000000000000 3404128824091412645343477/125000000000000000000000000
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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 :
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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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