Details Page for 0.5322

Complete Solution is Known:

MSV File: q-0.5322.msv

Growth Pattern:

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Details for Q₆₉₈(0.5322):

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}

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ab cd abcd bd abd d ab² bcd be bf d af f abf abf ab abd bd bc abc ae abd bd bc cd ac abd bd bf abcd c bce abe ab d bcd abde acd be ae c abc cd ace ce abd abf abc de af cde b e ac f af bc ab² c c df abf d ae abcd abc be e abd af bc ac e f bcf bc cd e abcde d abf ade ae b d bdf c bcd be bf bf c ce abc abf acde abd df abc bf c f ab bde bf c bd ab be abf c f d b² ce c bc abe ab² ae f acd abc bdf abd ab de c acf cf b abcde c ac ae bcf abcde abe ac cd b abcf ab² af abc bc b ab² cf abc bdf bcdf ab² df bc abce c acf b ab abf c cde b de bdf ac acd be cdf bde cf f b abf bd d af bc bdf acf b df abcf c ac d ab bdf acd cd abcde ad ab² bdf bc abc abce ab² af acd abc de abdf bd bc bc ac ef acf ab bcdf ac ae acde abef abd abdf ac e abce ab² cf cd bf abe bdf b² ae cde bc af ad b abf abcf af af b bd bcd ac abc ad bcf b² ae cd df abd d acdf bc ef abcdf acef af acdf ac bdf cf b cdf bcf abc ade acdf bef bcdf bcd ad adf abce abcdf aef abc acdf acef ace acd ab abce c bdef d acdf ae c ef ad b abde acef cef ace adef cdef abdf bc ab bef bd acf bc def abd bcdf ad abcef bcd bcd abcdf ad abcef abcf bcd bcdf ad bd bf acd ae cdf abd bd cef bc c abcf ab² cef adf cdf c abcdf bcdf adf abc abcd abdf cde cde bd abe ce ae acdf b² abcdf cd ade def c abcde acd be abde abd bcf de abcd abcd bdf abef df cdf bc af acdef d be abcd abdef cd cdf abd abd acd acd acdf abcdf bdf cde e abf abcdf d g bf abcdef abdf bdef cde cf ag abdf ae acde g aef abc bc df abd abde d bc df ab² bcde def adf bcd bde bdf acdf ae bcd abdf abf ace abd bef acd abc e ab² bce bdef bc acde abcde abcde abcef adf g abcd ad d df bd bcd bcef d cde acef abcdf def ag bd bcdef ac g acd af b² ef g c bg bg ad ade f bcd bdf b e df af abc g abd abg bde abc bcef g bd bg abc abef bcg abcdf bcde cdef ade abdef abcde abg cg ag abc abcdf acg d acdef bcd bf b abd acf bde abc bc abcg ab² ad bf abcd f abcde bg acdef cd aef acef d ad ag ef bc abcef df ab² abce bc abcf ace ab² ef abce acde cg f ab bce abf abde bcdf ad d ag bcd bcg bcde ab df ac af bf adef acde cef abde cd bef acde bg ag bf acdf bcde bg ad ag c bcg ab bcf ag abcd be adef cg b² f bg be ag abcdef af aef be ag ce abg cd g acg f ad abdg abcf abcd af b ad de c abc adef def ag acef bg bdg bef bd ae acef abde bde cf af bcde be cd cg abcg d ag e f bg ab ab² ag e abdg cg de bg abg cd abcef ace ab² abg bc cdg acg def ad bce g acf bcg d d e abcd bg cg ag ab² dg df abef acg ae bdef abg ade acg ce cef dg abf bcd acde adf bf cg cdg def bcf g abd bc cd b abcf ce ag bc bcf acg ace cef d bc acg aef bcg bdg abf cdg aef d bdg aeg bdef abcg bcdg cg ag bcef df abc abcdg b aeg df bce cg cf acf cdef abef abdef cdg abcg bcg eg bcd cde acde bce bcdf e ace cdef aef bd abdef bc bcg bcdg abcdf beg b abe bef adg af d abce bde bdef df ceg ag c c abcg d bce adg ae bdg adef cef bd bcg c ag abcde e adef cdef bf bcd adg acdf abce abd bcd cg abcg bcde adg ae deg adef abcdf bcdf dg acdf ceg abd bdf cdg acdf abcdg abdef b ace acdf abde bcdf bcdg ab bdg bcdef abcdef ace def acdef ag adg cg abceg cdeg bd abc acdf be bdeg bcdf ab b cef bdef cdg adf bdg af c bef ce d bcg abcdef bc acdef acef bcdf g cd cdf bceg bd g ae acef bde acg deg acdef abdg bdf abdef acdf abcdeg abeg abcd dg acg bd af abcdf ae bdg abcdg bde dg df bc abcdg bcde abcef afg def abcde bcdf acdg acg ac abcd dg cde acdf abeg bdf af bc ad abg beg acdeg acd abdg abde abcdef de abc abcdg abcg dg cde bcdg bde bdf aceg bcef acdef abcdf abdef ae acg bcdf beg aceg acdf fg ace abcde dg cd bdeg beg ce b g cd abceg abcf abcef deg abdg abcg abcf abcdg bdg fg ae abef g bce abg adg abdef cdf dfg acf bef c cfg bcg acdeg bcf bdg ac bcd bef acde abdg af bceg bef cg acef aef beg abef cfg acf ad bcdef bc def abcdeg bcg bf bef cdef cf abce bcf ag acdef abcd fg b acdeg cf abfg bf de cde ef bg abc abef cef ab² deg bcf abcd acdeg abcg ab g aeg acd bcg ag aceg abdg abe bcg bef bdeg ab² e abef abc acfg ab² adeg abcf abc c aef abeg bf aeg af acdg adeg cde dg c f ad bd ag cef bceg acg ab² ce bg abcf bcef acdg ab² abg cd acd cf bg abfg abef g c bdf cdf ag ce ac beg bcef b aceg acf abfg abc cdeg acfg ab² beg abc ceg cf abceg cdf bcd ac af abg bef g abcd def abcfg bce ceg deg abfg abeg abd ceg ab² bcfg abcdeg ag bdf b² abeg g aeg abcg abcdeg ab eg ace abceg beg d abcef dg abg abceg abcdg bdf bg abg bc cfg aceg acef bg bc acg cg acf beg bcef c ae bcg abcfg g abdef ace beg bef de c abg bfg bef d dg cef abfg afg afg abd bdg bdfg fg abcd abcg acdf abcef c f df abdg ag bcdf ac adef abcdg b af bg def cg abcd abdf cef acdf abc abcdef acdfg d abe fg bcdf ceg def bf bcd dg bcg acdf bdfg bdf dg fg abdeg bdfg abd aeg cd cg abef adeg adfg ad g c cdg adef bdg abf bcde afg df beg ag deg ae abefg bcdeg acf cfg ac adf bdfg bcdef aef cdf bcdeg aefg ace d de bfg abdef cde defg d bdg abcdf deg acdf d bd abcd dg def bcdg abcfg abcdef adfg cd abdef ab adeg dfg c bdef ce acdeg ad bcdfg abc cdg cdfg adef abdeg bcdef bdefg abcg abcdg abdef abg cdeg adef bce ce dg dfg g afg bcd bcfg def de abdf defg acdg d abdeg af deg abcf cefg bdeg ae deg abf ad abd bd deg cd bcg abd bd cdeg abceg bdeg cf dg abdg de abcefg bcd b ad abce abcdef adeg acg adef bdeg bd dg ceg def cg bg fg acdefg abcdeg abcg abd def ag bg bcde cdg bcf d abg abcef cdg abcdg bdg bg abcd afg acdef efg bd adg ag cd cf bd acdfg acd afg bfg ce bf d abe bcdf acdeg abcf ag acef abcd bc cdf aef bcefg abeg aeg fg ef bd cdfg g abc abcg abd acdeg ag def abdf bfg d abcf abeg bg abefg cde abcdfg af bg bf acg cg bd bcfg bcef be bdfg abcde bd abf be af acf bce ceg ag acd bdef defg b abcdeg e

Monoid Structure