Details Page for 0.7137

Complete Solution is Known:

MSV File: q-0.7137.msv

Growth Pattern:

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Details for Q₅₀₇(0.7137):

Q = <a,b,c,d,e,f,g | a²=1, b³=b, b²c=c, c²=b², b²d=d, d²=b², b²e=e, e²=b², b²f=f, f²=b², b²g=g, g²=b²>

P = {a, b²}

Phi = 1 a b a b ab c ac c ab² ab b d b ac c abc bc abc b d b ab abc bc abc c ac b ab² b ab² d c ac c bd d ab² b ab² acd abd c ac c d ab b ab² b ac c abc bc abc bd d ad b abc bc abc c ac b d b ab acd c ac c ab d ab² b ab² e abd abcd bcd c d ab² b ab² b ab c e c ab² ab d ad b ac c abc bc d b d e ab acd ae acd c bd be ab² b ab² e c abcd ae abcd d ab² bd ab² e bcd ade ae be d ab bd ab² b ac c abc bc e bd d ad b de bc acd c e c ab² abd be d c acd c ab d ab² abd ad abcd bcd abcd bcd be d ab² bd ab² b be c abcd c ab² ab d ad b abe c bde abde d abe d abd be acd bc acd cd bd be ab² b f e bcd abcd de abcd d ade bd ad e be f ade abe d ab d ad f ac c abcd cf de abe d e b abcde de acd c acde be ad abd abe acd cd acd c acf d ab² abd ad abcd bcd abcd bcd be d ab² bd ad f abe c abcd abde e cf d ad be f c abe c de ab d abd abe acd cd acd cd acf abe ae abd f e bcd abcd bcd abcd d ade bd cde f be e acf abde abf ab² bd ae f ac c abe abcf de abde adf abf be ac de acd cd cf abe e adf bcde de cd acd ae bd adf de abe abf abcd abd abcd bcd be bcf ab² bd e f abe ac bc acd e ab² df ad be c de abe bcf abcf ab de bdf be abcdf cd acd de abc abe ae aef f e bc acdf bcd be bcf ade bd bf f c ac acf acd abf ab² bd ae bdf c abc bc abcf d be ef abf abe abf acdf bde e bef ab de adf ef e bc acd de acf aef ade bd abf abcd c abcef bcd be de ab² bd ae abc c e bc abcdf de ab² bdf ad b aef abc abe ae bef ab e bdf be abcdf bc cdef bc abc ab d aef f acd bc abcdf bc be bcf bef d acdef f bde e acf acd ade ab² bd ae abc ac abc bc bcdf bef ab b ad be adf bc abe e abcef ab bef cdef ef e bc acd bc acdef abcdf abcef be bdf abef cd ac bcef be de bdef bde ab² abc aef e bc bcdf g ab² bdf bc bg ac acdf bde ae d abd b bdf be e acdef bcdef bc acf abcdf d ag bdf abc acdef ac cdf bde ce ag abd ae abc bde abcd acf abcdf bcdf acdef adef ae g bcef ade bce bg cdf ab bd adf abde bcf abcd adef e acf aef d cdef bdf de acf bcf cdf ag abd bdef abd abcdf abc cd abcd ag acd bcdf ab² bg ab² abf c ade cf abcdf bef ag bg ag g adf dg bde bcdf d abd d ad be adf cdf abcdf e abcg abd ag cdg bdf abdef cd bg cf abde abdg g ef ae abc acdef abcdef acf aef abdg ag adef ab² g bg acf abde abcf g ab d ad def cd acdef adef abcdef adg abd d abf bg bcdef cef abcg abcef eg bcf dg abd abcdf ag aef ac dg acd bcdef ag abe f abc c abcd cd acf abeg ag bd ag aeg cd cg cd abdg adg abdg d cdef be bcdef bce abcg abcdef dg bg d abd bdg abc cd bg ag bdg bcdef abcde bg f abc aeg bdef ag ace abeg be bg abcef eg ac abeg cd bg abef ab d g acdef cdg cg bcf abcdef bce bg df eg bdg bcdef cdef bg abeg eg abd bdef aeg f abc deg beg ag ac abeg acf af f eg c abcdef cdef acf g abcde bd dg aeg c abc cdeg abcdef d aef d cdef be bcef eg abdg abcef cdef cdeg d abd fg ag eg bcef abcdeg cdef bcdef abcde af beg abc bg ac bcde abcg adg abcde abdg df ac cd abcdf bc acd dg abdg d bdf be abeg abc bcf abcef abce bg abceg cdef bdg abeg eg abeg e cef cde fg abd bde cef cd acd bcde bdg bcf acf abd f acdef abcg adg acdeg ef dg deg ace e acdef bdeg dg bcdg bdef d abdg df bce abcg cdg acef abdg abcdf aeg cde bf bdf bde fg adeg bcef bceg abfg bcf abcde af beg cef abe abdeg bcdg acfg adg acf adfg acg aeg c abc cdf b bcdf abdg f cg be cdg abcd abe abcef bcde abfg fg eg b bcfg abcg ace fg adeg abeg dg abfg bdeg cef cd acd bce abe bcf eg acfg abcdef acdef abe bcf bcd abeg adfg aeg bdeg cg cdef abdeg abc cdf abcdef adeg bdfg abdeg eg abcg cdg abc bdfg abcf eg abd dfg abcdg bde e acf bdeg bceg acfg ab bf aefg f bcd acfg bcf aeg bdfg adfg bdf cde acg acdef bdeg abcdf cf bceg adfg bef adf abdf abcg cd acef cf ac cdf abfg adfg cef acd e abc abeg abcdf befg bdeg abcdfg adf b abdf bde bcf bcefg acfg aefg abcdg af bdf abdf abeg abcdf bcd ace bcf acef abeg bcd bde abcef deg cdf ac bcfg bdfg cdg aeg abeg bcf acf cf abcf deg abd bf bce acg cdg acf acd eg befg adfg e acfg abcdef abc cdfg abcf acdeg bd aefg d cde adfg cef c abcdf bcd bdeg aef befg bcef abdf cefg c deg cdf abcf cdf acdefg aefg abf b bcf acef ce bdf befg abeg d abf b bcfg acf abeg fg abfg aefg bf af acg abcg acfg bcf deg cde acdefg acef bdeg abdf befg efg acg cf acd adg dg aefg eg beg bcf acf cde abcf bce abeg d adg cg bcfg acf bcf cdeg abefg abeg

Monoid Structure