Details Page for 0.3477

Complete Solution is Known:

MSV File: q-0.3477.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₉₁₆(0.3477):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b³=b, c²=b², bd=bc, d²=b², b²e=e, de=ce, e²=b², b²f=f, df=cf, f²=b², b²g=g, dg=cg, g²=b², b²h=h, dh=ch, h²=b², b²i=i, di=ci, i²=b², b²j=j, dj=cj, j²=b²>

P = {a, b², ad}

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bef bg abg bc bf ef g bcg f af bg abg ef abf aef bcg ag ab abcf acef abg eg cf abf g ag fg cef acef cg abce bfg ace cf ace g f af f abg eg abf abcg ab g acef af f bg abg abf ef abeg g abeg f fg bg ce bceg ce bfg beg bcg f bef acg bg abg cf bcef g ag beg f cef ace cg ace acf cfg beg ae f af ace ce ace bf abce bce g f bef bcfg be bf ef bfg bcg abcg bef acef cef be bg abcef aef bcg bce abce abcf abef bcfg aeg eg aef abfg h bcg fg abcf bef aeg abc acf ef cfg abce bcg ab bef ace acg bc ef efg beg b af f cefg aeg h bfg cfg abeg ceg fg abcf befg abg abceg bfg acf ag b²c ab²c bcfg abg befg acg bf acfg bf bcefg beg bce bcf befg bceg abceg cfg bf ceg beg abeg fg afg abc h efg abf ceg aceg f af fg eg h acf abf efg aceg bh af abefg cefg h bf abf abfg ceg bce af bce abcfg bceg h abf bfg abcg aceg ach befg bcfg eg abceg efg bfg abeg aceg bh acefg fg eg abceg h aefg cfg beg bh abh fg afg h aef ah cfg acfg bh abh befg fg bceg h ah cfg abfg aef abh bcfg fg bceg h ah bfg abfg aef bh abh fg abcfg befg h bfg abfg bcefg bh abh fg bcfg bceg h ah cfg acfg bh bef fg bcfg abcfg h ef cfg acfg efg abce abh eh acg h aef beh cfg aefg bf abh eh fg cefg h ah abfg bfg bh abh bcfg abcfg befg ah abch abcefg bfg bcefg ch ach bg abcef befg abch beh bf abfg ch bh af afg af abch acf cfg bfg fh abh bh fg befg ah h g cfg acfg eh bh acefg fg cefg h abeh acfg cfg eh bh eh bcfg fg abch ah abcefg bfg efg bh ch bceg afg abch ah ceh bfg abfg eh bh abg bcfg bfh ah abeh bfg abfg abceh bh eh bceg bcfg abch ah ag acfg bcefg abh eg bcfg abcfg ah beh cfg acfg efg eh bceg bceh afg bfh ah ceg abcg efg eh bceg bef afg cefg h ceg bfg abfg cfg bceg cg afg abcfg h ah ceh cfg fh bh bceg abg abcfg abeh beh beg ag fh afh abh f bfh abefg bch ceg ag bcfh abe ach bceh bg bfh aceh bcg bf abce bcfh abh cg bg bfh abfh ah abf acfg cfg aeh abh af afg bfh h abcg aceh bcfh aeh befh abcef abg fg h abef ag abcg afh bceh abg cg bceg abfh abch bcg ceg bfg abh cg eg fg abfh ceh beh aceg bcfh fh acg bceg eg bef abef beh ag bcfh fh eh abg abef bceg ah ceh ag beg fh aeh eg cg aeg bfh abfh agh bcg fh abf eh cg eg abeh abfh gh ef abcg abceh eh ce abg bfh f abeh beg abeg cf bceh eg bceg bfh af beh beg aceg afh aeh eh bg af aceh ceh bcg abeg cf afh ce bg abg abfh bce bcefh abeg abf bf abcfh bceg bg abeh abfh cfh ag abcg bf abf bg abg bg abeh abcf abef bcg abcgh abcfh befh bg abceg abc ceh abef ag ceg fh ef acgh cg aefh bfh acef g ag abcfh ef cefh bg cg bef acef ag g agh ce ch bg cg bef abef efh ag beg ef abc bceg acg abef bef abef bcg ag beg fh afh cg bg bef bfh abcg g ef bf abcfh cg abg b²c abef af g beg aef fh acg abg cef af abcf cfg abeg ef bf ef eg abef bef f af g ceg ef acf abg acg bfh abfh abcf beg aceg bf abcfg acgh bg beh bef bfh abcg bc ce bf abf ae bg abce bcf g ce agh bf bcfg bf abce af f bcefg ceg acf cf bf ef bce ae f af ag be ach eh aef abce ae abce f abcefg g bf abf befh bgh abce bce af abcefg g ce fh ef bg abg aeg abef abcefg abef abe bh abcef aegh cg ae ah abcefg abef ace abeg acf abcfh abcfg h b²c af abef 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abefi bgi eg ace bci gi egh fg fi afi abcefgh begh abfi bfi cei bcfgh abgh bcfi abcfi abcei gh agh bfi abei bgh aceg abce aceg bgi abegh agh efi bfi gi beg abce afi bcei cfgh cegh bg bfi acfi abcegh bcegh beg fi bgi abcgh bfi abfi efi aceg bce egh fg acefg gh agh eg acfi ceg egh ceg afi afg abegh bgi abfi bfi abfg aegh aceg bcfi fi efgh abcgh acegh abei bfi egh bcegh fi abceh cefg bceg gh bceg cfg efg acgh aegh fi afi abcfg abcefgh acei cei efg bgh gi fi afi bfgh agh begh abfi cfg afgh f bcfi abefg befg abefg abgi acg cfg bcefg cgh bh bcei abefg acefg abegh bch bfi fgh acgh bcei abcei acefg bfgh befg bci abci efg acfg cefgh ci fi acefg gh abgi ai abcfgh befgh aegh bcfh aci befg abcgh abfgh ai acfi aefg aegh ei abi cefg befg bef abci bfi abcefg egh aegh abcei abcfi abefg abfgh bf bfi aefg abcefg aegh aci fi cefg gh cgi bfi abfi aefg aegh acefh afi abcfi efgh acegh ah abch abcefg egh aegh acefh bi abegh begh h acei bcefg fgh afgh aci abcei acefg bcgh ceh h bfi abcfgh abgh cefgh bcfh fi 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ch bhi acgi abgi acfh ah acfgi bei bcfh abcfh eh ei abcei acfh bcefh beh cei abf bcfh bceh bcfi abgi abcefh efh bfi cfi gi fh bh aeh cgi aegi acef ah bfi agi cefi aef eh ei bcei bfh bcefh aceh cei bfgi fh bceh fi bcei bcefh abfh aceh bfi bcgi afh abcfh abcfi acgi abcegi cfh beh abfi begi befh abceh fh fi bgi cfh abeh bfi gi cefh bf bceh acgi bgi abef af bcf gi cegi abcfh bceh abcfi abgi abef abeh abef abci gi aef afh bcfh cgi f af beh acfi aefi aeh ef eh acgi bgi hi af cfi bcgi begi aef acf befh abgi bef bfh abcefh cfi gi bcef abf cefh afi egi bef cfh agi bfi abcfh abf bcfh ci fi bcefh ab ahi ace abhi ef aef bf abcfi cfhi bef abef agi bfi aef ef ehi bgi abcefg f abfh cfi abfi abf ef acf abgi bgi abcefg cef abcgi acfi acefg abcef abf acgi bgi abcegi bef bcf gi begi bcef abf abcfh abce b²c bef af abef gi cegi abf acf cgi egi bcefh bcf bef bc abc bf abf afgi acgi ab²c bef acfh begi abe ch cf acf acgi bcegi beh bfh abcefi abg acf bcfh bf bcegi abcegi ah abef cef acegi ace bf fh egi bcg 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acg bceg abci aehi ceg abcg abcegh ci behi aeg bg bfi acei abcegh bcegh fi aei afi aeg gh cei bci abhi bgh bghi aci befi hi abceg aefi cfi bcehi bcegh beg afi aci abehi abg cg cei bfi abcg bcg abcg afi cehi abg cg aefi abci bhi abcg abeg abcei befi ahi cg bg aefi bcehi bcg g abcfi cefi ahi cg abceg bei agi beg abeg beg fi hi acfgh abceg bcefi abci acefgh bcefg g beg ci abcgh abceg aefi cei afhi bcfhi g beg abcfi abfhi abg eg efi bcefgi aefg g abcegh abcfi hi fg ghi bei agi cefgh bcg aceg aei abefi aefgh cfgh efi abci bcefgi afhi bghi bcg ci acfgh abceg ghi cfi acei bcfgh abcg abcegh ci bfgh abfgh eg cfi agi efg g abefi ci acfgh aeg aghi abfi bcefi efg abcefg g afi acfgh abfgh cg ghi cg acfi afgh ehi abcfi bcfi cfgh aefgh ghi bfi acei afgh aceg beg befi abgi ahi ghi cei agi afgh beg bghi aeghi cefi acfgh ghi aghi ai bfg cfg bghi abcg ci abehi efgh ghi befhi aefi fgh abefgh abghi ci ahi efgh bfi ceghi abci abefgh befgh aci abcefhi acefgi ceghi abcefgh abci bci agi begi aehi abefi ci 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aeh eh afgi ghi bch beh agi abegi abefhi fh acgi bcei afgi bfh h cfgi gi bghi cghi eh abceh fgi bcefhi ah beh gi acefhi bcfh bcefg egi aegi bfh bcefhi ceh acfgi cegi fh bh j abcegi afgi bfh beh abfgi gi bcfh aeh abcfh aci egi cfh abeh j begi fh afh bh aegi abgi cfh beh j abegi bcgi afh aeh bcfi abgi abfhi abfh abch j abghi fh aeh cefh cgi abgi bfh beh cegi efgi bcfh abcfh aeh aegi egi bfh abfh abcefh abfgi aefgi bcfh abceh aegi abgi bfhi abfh efh begi abcefgi acefh eh acefh bcegi ghi efh abeh bcgi gi bcfhi fh abefh cgi fgi efhi acfh j begi abghi ach cefh aegi abcei acfhi efh abeh agi bghi abefh abh j acgi ghi bfh beh bcj aefgi abefhi abcfh j befgi cfhi bfhi ceh abej cegi fhi befh eh abgi cgi abcfgi ceh j acegi bghi befh eh abgi afgi bcghi abfh bfh j begi eghi fh cj egi bcghi bfhi abeh j bfi fhi eh aeh egi bcegi abfhi abfh j cegi bfgi bhi eh egi abcegi fgi abeh efh abcgi acegi aeh fh bcfh acgi cfghi abchi cfh j aj bcfhi afh bcfh egi abj bcefhi beh begi aj bghi bhi abefh abgi bcei ghi behi aefh abegi abcfghi fhi cefh cj bcegi aceghi cehi bcefh acegi bcgi eghi befh cefh bj abefi cfhi acfhi j abegi abghi fhi befh cgi abj cfhi acfhi bcefh acegi aj cefhi bh bj abcegi ej abcefhi bfh efgi cfi abcfhi be bj abj bj acfhi bcefh bcgi bfgi bcgi cefh bj abcfh bj bcegi efhi bce begi abceghi cefh befhi aej abcfgi aefhi abce e bcfj bej bcfhi befhi acefj egi fgi e abehi j abegi bcfghi befhi bcfhi cj cefj hi ah aj aefgi bcfghi abcfhi fhi acj cefgi acfghi abce abcefhi j aj eh ace cefh fgi ci bfhi abcefhi j aefgh abceh bhi bcfhi bcegi abcfgi e ahi j abcj aj bhi abcfhi bj befgi efghi bce acfhi abegi eh ehi fhi afhi cj ej abchi bcefj j bcj ace bhi ace bj abj ceghi hi cfhi j bh bhi cefhi cj bcegi abeh fi efgh aefgh aj bfi abefhi ej befgi ej ae abfhi j bfgh abci chi abj bcfgi acj bcghi hi j abej bcefj abhi befhi cefgi acj ae f bcefhi abej bfgh acefh bhi fgh bcfgi ah hi cehi bcefgi aj bhi abci acefhi abj bj abeh behi abej cfgi j bhi afhi afgi abj hi abefi abcefhi abcefgi j abhi chi befgh 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efgi acfg abci abj abef bcfi ci hi abfgj bij g aefgh aej abehj abeij aci abi j bcehj abcefgi abcefi befj bcfj abce afi ci acfj bcefj abhj i ai cj abcegj fi bi ci efgj bij acfi abci abehj abef ae ci aci bfj chj bfi bci aehi hj bcfj acef bi j bhj bfi bci acei ej acfij fi bi acej abcefgj abf abfi ai aej abchj abfhi ei ahi abej bcef fhi i hj cefj abcefh ei aci acfj abhj acf cfi bcefgh aej cehj afi aci aehj bcehj aeh cfi acei ceh abefgj abcfi aei ei j abcehj efi ai abchj abcfj h bcfi bcei bhj acegj abei abeg aehi hj abchj abcf acefg bhj abh acfi cfi acei aceh beh afi ci aij cfj ef cf bei abcej bch abfhi cefg bcei bcj abh abf ai bij bcej abce afi acefi abceh bh abcef efg ehi aceh beh afi fi abeij bh acfj bei bfi hj abch acef befg bcij bhj bh abfi bf eij abch abj fi bcei bhj bh abf cfg bcefi abch beh f bcei aefj abh bf efi abei hj bj f bi abfhi abfgj bh abf acei ahj aceh h abce cefi chj eh bf abfi bij hj abch befi bfhi fhj abfj bf abfg abcefi bfhj aceh bce afi abcfi abhj abf aefi bci abch aceh f befi afi abhj afh ef acfi abij cfh af abcfg ci aij abfgj abh abfg cfi abch h abefi af ij ch bh ace cei bfhj abfh aceh bcfg cefi achj bh abefhi efi abij abch abeh fg cefi cfij ch eh abf abfi abfh bch hi afi abeij bfgj bh abfg bfi cefj h ceh afi ij efgj bh acei bfi bij afj egj abcei bi fh abefh aef abf bcfhi cefj bch cefi abi ij cfj bh efi abcefg abcfij aefh abch abi fi abfj ch bceh acfi aeij abfh ah bcei abefi abcehj ch acfgj ehi abcefi acfh bch abef aci beij afh bf ai bf abfhj afj bi abefg ij cej cfj efi cfi aefh afj abfhi fg fi ij abej abcfij aefi efi bfhj ej afi fi abeij ach efj abci bij bcfj ceh cehi ei ij cfj bfj aefi bfi abij abfh cefj hi fi abhj abfj bfgj acei abij afj bfhj abef beij aehj befh bfgj ef aefi abij acfh aci ei ij abfj abcefj abfi aeij eghi bcefh abeghj aeg egi bhj acefh abci bij eij abcfij ej abcei bef cfij aefj cegj abfg bij acehj acfhj bef aij abeij aefj bghj abci afghi bij bcfj acgj acg afgi acfj abej fh eij abceij acfh behi abcei aij ij cefh ai beg cfgi bij abcej abceg cfghi abfghi bfj acegj aefgj aefgi eij bcfj cgj af afgi efj cfj cei aeij eij beh abcfj ci aefij acefgi bcfh agj bcefg bij abij cefj acefgj abfij aegi bcfgi acei abcfij abefghi abceghi cefj abceg beij fgi beij abej bcg beg agi fj abgj beghj ij abcfgi fhj begj bceghj afghi bcegij cfh bcfj fi abgi bcfgi abegj gj agi abij cefj abceg bceg abcegi acefgi aefgj begj afghi eghi bcfj bcej beghj afgi acefgi aefgj bcgj ceg cegi afghi abcegj acg abefg ceghi aefj acefhj cefij cegi afghi befj abcegj bceg abcfgi gij abcefj acfg befghi abegi efgi acj cefg abgi bcfgi begj abcgj efg cfgi acegi acj abceg beghi bcegi abh abcgj beg abcefgi bfgi befgj abcfj abeij egi aij acfj gj befghi aefgi abefj abgj aeg egi bcegi abfgj cfgj cghj abfgi cfgi befj acgj abefg aegi abfghi gj bghj cegi acfgi abcegj acgj acfij aegi abcfgi eghj bfgj ceg abegi efgi abehj aeg cgi egi bcgj abcgj ceg agi cfgi bgj abg cfghi abgi befgi gj bghi abcgi acfgi ghj acgj bcfg abgi ij efj bcgj begi bfgi bcghj befj befg cgi fgi efj cegj efg gi eij befj aeg aegi acgi bghj agj efg agi abcfghi acfghj cgj afg bgi acefgi aefgj acgh afghi abcgi abcefgi bgj afg abgi abcfgi bghj ceg bghi gi aeij abcegj aegj acgi fgi aij gj abghi bcgi bfgi afgj bcegj abefg bcegi aij gj bcefgj gi bcgi beghj egj cefg bgi aefghi abcgj aceg bghi agi fij bcfj cefg cgi abgi abcgj bfg beg gi bfgi abgj bcegj bceg bgi abeij abghj abfg agi gi eij abefgj abefg bgi aij bcefgj gj bfg bcgi eij bgj egj abgi acgi eghj begj abfg agi aeij abcefghj cefj abefg ghi acfij begj acfg gi bcgi befgj abefgj bceg bgi befgi aefj aceg abfg agi abefij cgj acgj acgi cgi gij begj abfg gi cghi abcegj abcfj bgi egi bceghj bcefgj chj bghi cghi abcegij fgj beghi bgi bfij bcefj abcgj aefg begi bij abgj agh aegi ij bcgj gj aceg bcgi bceghi bcfgj abcegj aghi abgi aefij gj chj agi begi abcfij abefgj abcfg cgi bceghj bfgj j fgh bghi aeij eg gh bfgh cgi abcfghj bfgj abcefg abegi abij bcegj gh befg aghi ij cegj abghi begi abceghi befgj abefgj abegh acgi acghj eghj abgh efg agi aeij befgj aefghi cefg bceghj cfgj abegj abcefg bceghi afij abcegj cehj cefg bcegi abceghj cfgj abefghi aefg gi bcghj fgj cefg aegi ij abcj befghi cegi gi cgij abcfj acegh bgi cgi cghj agj bcefg acegi bij abefgj gh bcfgi acgi aij abcefj bceghi acegi bceghi aghj bcgh bcghi cgi aij acfgj abgh abcgi bij abij abcegj gh bgi abgi aeghj abcegh fgh begi abij acefgj gh aefgh ij aefgj bcefj fgh acegi begi egj acefgj bcgh abcghi aij abcefj aceg acegi bij abcghj bcegj cefgi befgi abcei cfij abfgj abcefgi abceghi aeij hij fgi aeg ij bcei cegj befghi bceghi abcfij bcegj efghi abcegi abgi beij abcei abgh efgi bij aegij befgi ceghi bcghi ij bghj befghi abcfghi bfgi eij befgij gh bcfgi beij agij abej acgh abefgh ai befgj gh aegi abfij aci bhij bgh abcfij eij ai gh cegh beij gij bfgij abcegh bcfhj afij bei acefgj cegh bchj abcij abcei abcefj abgh eij bei acei abefj bchj abcei afi ci bgh eij bci eij agh hj aceij ei abcgj j achj fij abefij bcfgj cefj cefgi acfij abefi j bhj afgij cij abefgj cehj abchj acfij beij cefhj abcefj abefghi bci abefgj bchij abfgh abcefgij abeij aei aefj fhj bij bgij bj cehj cefgi behi bcfi acfgj abgh bgij bci bcegij agh cehj abi ci aj bgh abcfij abci aeij abj bchj abcij abi abcefgij abfgj chj aehi i abchij behj abcefij ei bfij acfgj abhj befij i cei abcfj ahj abi bcei aefj chj

Monoid Structure