Details Page for 0.3563

Complete Solution is Known:

MSV File: q-0.3563.msv

Growth Pattern:

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Details for Q₆₃₁(0.3563):

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

Monoid Structure