Details Page for 0.7672

Complete Solution is Known:

MSV File: q-0.7672.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₃₃₆(0.7672):

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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abfg ab²c bef abef ag abcf cg efg be abceg ae e bcf bcef f cf cef abg be bce ab²c acef abf bcg ag af cg cef abf bce acf beg bg e abf cf abcg bcefg bcf h cefg cf efg abh cg abcef abeg cf bc bf aceg acg afg e cef bf bcfg b²c f h aeg abh abcef b²c ah b bf bce acf e bg h abf cf f ach bcf abcf cefg h ag abh bcf abcf cg cf eh e aef bcef f bfg ae bf aefg b²c f beg ab acef afg b²c cg b abf g ch e beg abcf acfg cf ah bcefg bcf bch acefg aeg bceg bcfg cg ef ah cf g bcfg aceg bce bfg h ae abc bh b²c cg h ab acef ch abeh f bch cef ceh ch abe aceg abc abf fh bh afg ae abcf abch abeh abefg ceh ab abcf ab²c b²c abf g bh abcf be abfg acefg bch bh b²c cg h ab acef ab²c af f ah bh g afh acfh abeh e abch bf bceg abceg ab bch abch beg abefg bcg ab acefg bg aeh beh abeh bfh ceh afh fh abcfh bch aefg acfh f afh ab befh ab²c abe abcef acfg ah acef gh bcef bcf eh abf fh bcefg bce afg bch abch afh bg abh aef abefh bch afh gh bcfh ab ceh abgh h acefg bch eg bcfg bg abfg abf aefh gh b²c ab²c bgh ae e cegh b²c abeh abcgh cef abfg afh beh ab egh abefg abfg ceh bcg bfh ef aeh abg abgh cegh ab af afgh bce acfg bch f bcfg acefh befh abch acef afgh aefg ab²c bch ae acef bcefg b²c befh egh ae abegh fh bce abefh abcegh cfg acef abce befh afg b acefg bce eg g ab ace afh bce abcfh bcfh eg bcfg f abfg cfg aefh cegh b²c ab²c afgh ae bch cegh abe abeh egh cef bce abegh beh abgh abfh abg aefh abce bfgh afg abcf ae bce befgh cefgh ab ceh aefgh abcefgh acefg acfg abcfg bcfg abcef cefg aceg e h abe be bce abeg aeh abcg b²c abefh abcegh ae ceh abgh acefgh bcefg b i bcfh abce cgh ce ef efh ab² bceh befgh bcf acef abcegh abef acfg bcfh efh abceg gh fg cfg aefh acfgh bcefg f abcefh ae e i af f abceh abf bce i bcef bi abi bc e abce bci bcf ace bfg bce bef abci ei ceh ai abef bi abci abcfg abcf eg bcfgh abcfgh abfg abcfg abe abefh acfg bc acef acgh b²c abeh ceh cef abfg abgh acg ab²c agh ae abfg bef abegh bcf abcf abcegh bce ab²c fh aef abc bef abef bcefh abegh aef abfh ci beh ae acef bcf abe abcef aefgh ae beg efh af abcfg befh bcfgh e acefg cf ab²c aeh acefh bcfh cfg ah abgh bi cef acfg ai h aef ei bi bei ai cgh bg abcf bfh bcegh cfg abfg acei bcfg h befg afi aei bcf aefg abcei befh acefh abfg ai cgh cfh abi bh bce abei bci fi ace abf ab² ai fh aef cei bcg abeh ch ai bcefg acfgh ci bcegh ae abfg abch fi cgh h abf bf abch bcfh abcfg g bcgh cefg cg ai f egh abf abcfgh afi beg bei abch ab bce i beg abeg bch abcg fi ch ai bg aefg ab²c afgh abefg bci ab cfgh f cf bcefgh afgh afi aefi abcfg abefgh acei abfg bci b²c ah abi cef bce fi bcef abeg abcf bcfg ai gi bci abcfi bch ag aeg ch ai bg fi acefi abei bef gi aceg fi befgh bei abf b bcgi bch abei befh cef acegh bci fi f aefi egh bf fgh ai ce acei ab abh befi abg abefgh bch cefg abcgi ch gi acei abcf abgi abei bef agi ab aeh f abef abcgh abcgi bcgi afi ah cgi abcfi bf acefh ai f acegi acefi acef bcgi abcefi bceh bei afgi cf bcfgh agi ab bch abch bcegh bcei ai abeg abcf abcfh acfi abeh beg efg bgi bei bcg bfg acefi gh ceh abgh cgi abfi aefh aceh fi ah g cfg acef acfh abcefi ah abegi efi cefh bcfgh befh bcfi begi abfgi cfi bcei gi efi abcf abcg efgi abeh abcfgh abcfh abefgh befgh bi cgi abh acefh acegi afgi h ag bf b egi abcef abegi bgi abc abcfgh acegi efgi bch ai acfg aegi fi afg acefgh achi e hi b²c efi b cef ab² bef beh bcf ace bei acfi cfgi afgh ae bgi afi abcefgi abhi efgh aceh abcgi f bceh bhi cefgi aceh af bcefgi acegh ai ehi cfgi b²c efgi h aehi ehi bef bcegh gi efi aceh chi behi bchi acefh cehi cegi acegi bi bchi abcegh aefi bcfgi aeg acgh fgh aceh ceh abcef bce cfg acefi bcgi af bef acegh cefgh fhi cef abcefg afi h aef bcfh acfi agi aefgh aei ah bce bfhi bcehi fgh bcfgi abfgh abcefh acfgi abcgi bcfgh beg efgi bgi abce abcegi ce ef chi bce begi aehi fhi abe acf cfgh ai cfhi efhi bcefgh fgh abhi eh bgh bcefh bce cfh b afhi abei i acfi bcgh acef begh abehi abcef acefi bcfgh acehi chi acefgh abcefhi aehi ce ceg abcg bce abfhi aghi abcefhi i ai acfh abcfi aefh abcehi bcefhi be bghi bcfi acef befgi b²c f cghi abghi abfg bcehi chi acghi abcfi ae bce bceh fh cfh ace bcefgi bce cfg aefh ehi bcfg abcfi bce ah befi ehi bfhi be bce ai acefi bc bcefhi fgi beg abci cefg cefgi abcefhi ab²c cefh bcfgi bce bef bcghi ab²c abcfi aefgi aci ghi aghi ceghi b abhi aeghi afh abgh bcf abfh abcg bce acghi bfgh bg bghi aceg acfh abceghi bcfh abf aeghi ab²c fgi bfhi bf cefgh bcef abcef achi abfhi e abei fghi aceg acef bfh acfghi aefgh bce abci b bfh aeg abce acfghi aef aefg bfghi g acfhi bfi bg bcfghi acf abcefg befghi aefh cefgi bcefhi f afgi acgi bf acefi abcghi bcefg abcgh ae g acgh h aghi b²c cef bchi befgi cf cg efghi efg cefghi j abefgh aef abfh acefg aj acfghi cfgi bcgi beg bfh acfh bceg bci aceh aceghi abcegh b²c cfg acef acgh bcfghi be acfghi abf abhi efh af bg bcegh eg efgi abcfh b²c acehi bceghi afi chi bceg fh aef abg acefh g begi abi abch cefg abei acfh eg e aefhi efghi j beh cfghi bf acgh cgh abegi abcgh bc bf efh h abcfg bcefgi bfh bcehi ai ach afg ceh j abehi acf abcefh abcefghi ef abcegh abcgh cghi cfgi abch 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aefghi bghi acfgj begi bcefj bcefhj abcgi fhi befg cefi abcfghj cefgi agi abchj beg abch ceghj cefghj abcfj be acfhj bcfghj acegi acehj cghj bceg bcegh cefgh h ij abefgi bcefgj abej abfghi h cg befghj eg abghi aej abcj abchi behj ghj ceghi bfhj abceghj j aj bc bcefhi ab²c cei acegj bch cej i cfh bcfi acefhi aefgi ceghj acej afgj abcehj acefg acefj bhj ab² bej bf ab abfgj ij ghi fj ace cefgi acfgj abce afj afhj bcfgj efgj abefgh abcefgi ehi aceghj i bfhj b²c abch abfg ae abcfj ehj bcgj acfj aeghi ij aefgj egj bhi acfj abcj cfi afgh abehi aeg ab h aefhj abegh bh abcfgj eg i ah fh ceghj ij acefh beg acefgj abc abcfh bj ah befh j aehi ae efj abeh bcgj aegh abfghi hi bcegi afh cij aceh aeij f bce acgh bcehj ce h bcj cgi cefi abcehj acij aefhj acefgj bgh afgj bcgi acefhj b²c acfj chj bc bj bcj b²c abch bcfghj aeij efj bij abe abefghi abchi i e ab²c abe cefhi abfgj bcfgh ab² bcegj bcfi bcj bcegh ahi abceghi afghi ceh ehj agh abcehi bce aefhi abefgh abcfg cgi abefgj fghj cegh abefgi bcj agh cfij cefg abgh abcgi ehj bij bfh cefghi acefi bgh bcefgj acg efi aeh acefgj cegj abcef cfhj abcfg bfj aefghj ghi efhi abcf cij acefj acf aghi abcefj ceij abghi acefj acfj abcefh eij efj bhj acfij abefgj bfgi ae bgh beij abij bcehj bfhi efh bcefhi begh bij acefh acef abceij bcfgj cfg cfghj bcj abfghi ceghj abceghi cegh bch bcefhj chi abefghi cj cfhj ceij abch bei abcef acghj aeij abfg ab abcefg abefghi cfij eij abcj ah aefg bceghi abcefhj abfgi i abce befh afg abg bhj bceij cfghj abefj abch bij eg befg cfg bcefj ab aeghi bceij bcefghj cfg ceij acgij abcefi gh acfij abcfh ceg befghj acg cfh aei aef bgh aefj afi befj cei abf befi f cij bi abefij gij bce abcef aj ab cegj abcghi abcefhi acfghj bfgh abch bcj abeh afgh ei abghi abij abefhi acfij cfghi gij abcfj chi bcefi bcefg abcfgh bcfgh bfgi aefj cij acfj abchi abegj befi abeh bhi acfij efghj abcghi befh abcef befgh bg bcfi abeh abcefh cegij afj abgij bcfg abcehi cfij acj bhi behi fi abeh beh acghj ceg ehj cehj fgi behj chj egi aefj abgij acfij afhj ae acej bcj bchj bgij bci bcfgh abfhj afgij cei abch bij aehj cfi abcef cfghj bcefhj afgij bceij beh befgi aefhi abij fi abcegij abceg abcefj bij aceghi ci ghj b²c agij ef aefgi h abefij bf abf fgij acefhj beg cefhi egh bf abcgi acij bceij j bij abcfhj bcehi aefij acfg cfhj abcj efghj cegj fj aefhi efh aefhj bcehi bcefghj chj abci aceghi bgij abceij bcegij abefgij ceghi ehj abfgj abcegh egh abcegij acej bfhj acegij abij egh fghj cehj bcefhi abefgh afhj egh ab aefghj efij bcefj agj bghj abcefghj cghj bcfgij fhj bfh abceh acefgj ab² achij bghi cefgi bfj abceij befh afhj abchij bcfghi bcefgi cg abef fgij acegh bg b²c cefgij bchi bc bcfgh bcfgij abcj acfgh b aefghj abhj befgi bcefj bcegj bch cej befi acf bcej abgi eghi abfhi abceghi fgij acefi bghi ef ah abceh befj cefi abcefhi bhij bceij agi acefi abchij abcefij bcef bfgij abefij efh befi bfhj beg abcef gj ab abcfgh behi cghi efi agj cefij abehij afhij cfhj abefgj bgij ai g abcefgh cefh acefh bcghi hi b²c befj abcefhi ceij abgij efhj cfij abcefj afhi afhij abcehij befgh abefij bh acegj f acgi aghi abcfgi acfij bj ai chij efi abg bcgi abhj beij hj aef bcehi acefghi bcei bceg acfhj abfgh abg begh h bcfhij efhi ceij abhj bceh afgi abcegij abcfgh ehj abcehij befhij cefhi efhij bcfg bghi befh abce acefhij ab bgij ehj abchij acefgij cgij aeghi abcfj abcfgij cfj bcehj gj bcei bcghij befj befhj cefhij abchij cefj cfg chj aefg efij abcj efhj acfghi abcfh ceh aghj abefgh abcef cfhi bfg acej bcefg agh acgi ehi cefij bj acefhj aghij j abg aghi abehi cfg abcefg bcehj bg aej abceghi abcegi aefhi acefi bgi bcefi efj fj bci ghj bcegh abefij acefgij acj acej bcfgi bcghij acgh abceghi eghi fhij abefh acfi aghi acfij bfg ai bcei beh bcegj behj bfg abehi aegi egij acefh abceghi aceg abcefh abeh bcefj cefhij aegj begh befij abegj cefi ceij acefj acfgh afj bef aefg efg bcef bceghij cgi cefij begj acegj beh f aj befgij bcefghij aefghi befh cfgj behj bcghi aefhj bcfhij fghi acefh bcegij eghi abefij behij fghi abcfg abi bfghi abceh afh abej bh acefghi ah cefgij i acef bcfgij abfghj fi cgi abehj abcefghij cefgi abfhj abcefgi abefgij abcfh abcgi abcefhi cghi acei afj bcij aefhj

Monoid Structure