Details Page for 0.3146

Complete Solution is Known:

MSV File: q-0.3146.msv

Growth Pattern:

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Details for Q₈₇₄₇(0.3146):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b³=b, b²c=c, c²=b², b²d=d, d²=b², b²e=e, e²=b², b²f=f, f²=b², b²g=g, g²=b², b²h=h, h²=b², b²i=i, i²=b², b²j=j, j²=b²>

P = {a, b²}

Phi = 1 a b b² ab² b a b ab ab² b c ac c ac bc abc d ad b ab² ab b ab² b ab² cd b ac abc c ac bc ac d ad d ab² b abd ab² b cd b cd ac bc cd c bc ac bc abc d b d b ab e b cd acd cd bc abcd abc bc ac d abd c b bd b ab e b cd abcd cd acd bcd bc abc e abe abd d ad d abe ab e abe b bcd cd acd cd bce abc abe ac ad d ad d bd e de abe e acd cd acd cd abcd ace de e ad ac d ad bd abe de e abe ab² cd bc cd acd bcde f abde abe b ab² d ad bc e f abc abe cd acd cd acd abcd b f de ad ab² d ad e bcf bde be abe ac bc cd acd abcd b f ade b d b d cf abe bcf ade abcde c ac cd ace b ce b ade ad ab² d ad cf f af acf c cd ac cd abe ab² b ab² ace ade ab² d ade adf ac be c ac cd acd f abcd ab² abcd b ab² bce ab² de ad acf abcf e c abc c bcde f abf af f cdf ab² ace ab² b abde ade acf c abc abe c bc cde f af f af b ab² bde b cf ef ade cf df bc c abc ac acde bcde b f af ab² ade de abcf abe cf acf cf ac abcd acde c ef acde af ab² f cdf de ade b ade acf abcd cf bcd bc acde c abe abdf af b e abe de ade abe acd bde bc bcd abcd cf bdf acde bdf abdf abf ab² bcde abd f abe bcdf abcd ade abcd acf cd abdf c bce acde ef bd abd b abe f e bcdf bcf abcf acef cef acd abcd c bdf acde bdf abdf bdef abe e abe e abcd abe bcdf bcef acf abcd c bcde ce ace abdf ef abdf acde e abe e abe abcdf bcdf cdf c abcd c ce ace abce bcde acf abdf abe abd e abe e abe abcdf bcd cd cdf cd ce abdf ce abdf abf b df e abd e ae abe e abcd cdf bcef cd ce ace abce abf bdf d df e abe e abe be e cd cdf acd acef bf ce bce ade df adf bdf aef abe ac e ae e cdf abcd bcef cde bce abcef acef bdef df bde ade abcf abd bd abe ae be abe abcde cd acde abcef abf af f bde de ade ad ef abcdef be abcf abcdf cde bcde abcd abcde bcde f af g ag bde de b de cf bg acf abcf bcde acde bcde abg acde f af f abf adef de ade cf bcdef bg acf bcf bcde bcdef bcde abce g f af f ade aef ade ef g abg bcdef ag cdef bcde acde cde acde abcg abg af f def bde ade de abe abcf bcdef g cdef bcde cde acde abcde acde bcde bdf f bf abe de ade de b g acef abce abdf c acde bcde cde bcde bdf af abdef abde de ade de ade g bcdef abcdef cd acde acf abdf acde bcde e abe abf f de ade abg ade bcef ac g abcf bce bcde cde df acg af abe g abf be g ade abcdf ade bcf ce acef cef cg abdf cde bdf bcdg abe d f g bg abe bcef acdf bdg ag bce ce ace abce abdf adf abdf abe e abdg abe ag b abcdf bcdf abcdf ce bcef abce abcg bce adf aef df abe e be e ade ag abcdf acef ce acdf abce ce bcg cg df aef adf bdf abe ae abe e g aeg abcdf ce abce acef bcef bf ce bdf adf df abe adf e adg aeg cdf acdf abcdf abcef abcdf acef af abce af bcg de df ef bdf be abe acdef cdef aeg abcdf acdf abcef ace ce f ace f de beg aef g abdf e abe acde abcdef acde bcdef bcdg cef acef bf cdg f af abdf bdg abg dg be abe be acf dg acde abceg cde abce af f abdef acdg de deg dg g abe g d abcf acdef acg bceg bcg acg af bf f abf de eg abdef g abg dg abcdef acdef cf acf eg bceg acg abceg af f bf ade abdef ade abde g bdg cef cf acde cf acde bcg cg abcdeg abceg def f af ade abe g abg ad acdef abcdef abcde abcf bcde acde cg bcd af abceg bde abf ade de g acef abcdf abdg abcdef acde abcde cde acde cg bcg cdg be acdeg ade de ade de ag d acef deg cdf acde acdef cg cde adf abe abc fg bfg g ade de acfg bg abcef acdf abdfg abcdg bcg cde acde adf abe e be abdg af bf de ade abcdf bcdf acdf bcef bcg acde acdg acde ceg abe e abe bdf afg adg ag adg abcdf ace abce cf abce cdg bcg acdg ef e abe bdf abe bdg g ag adg abcef cdf b bce abcdef bcg acg bceg abcdeg abdf abe e df g ag abg adg cef cdf acdf bcdf bce cdg acg cg e ef e abe adf g abg adg aeg bcdfg ace d ce cdf bcg acg cdg bcdeg aef adf abe bdf bg g ag abcdef aeg abcdf ce ace abce cdf bcg def ac adef ef adf bdf ef ag abcf cfg acf bcf abcdf abce cef abcdf ade bcg aceg adfg adf be abe ag dg abcdef bcde acf abce cdf bce acg cef acg f af adf adef bdf bg abdg abg acdef abcde acde acf abdeg abcdg bcdfg acg bcg ade de ade abe af bg abg dg abg bcde bcdef acf aefg bcdg acdg bcdg acg ade bde f af def abg g ag abdg acdef abcf acdg acde acfg acdg bcdg ceg ade abde abfg f af befg g bg eg bcdef acde acf bcf cf cg abcdg ceg abceg ade de f af abg g abdg acde bcde acde cde cf acde bcg be acdg ef ceg de af bf bde dg adg bcfg abcdf cde cf bcf cdef acfg bcg ef acdeg ade bf ade bde af bdg adg bdg ace acdef acde cf acde cg be e abdf abdef f af fg aeg ce abcdf dg cef cdf befg acf cdg e cdg abe bef bdefg bdf f abde bg bdg ace abce cef bce cdf cdg bcfg cdg ae abe abdf be af df adf dg abcefg abcdf bce abce bce cdfg cdf bcg acdg abe ae be f af df af adg abdeg abce cdf ce abcdf cfg bcdfg bcg abcg be ae be df adf df abfg adg bdeg adefg abdefg bce cdf de bcdf abcdf aceg bcdg e be e adf ef ag bg ag befg acdef ace cdf abcf acdf bcg acdg abe acdeg e abe adf bdf adf bg dg deg adeg acf cdf bcdf cdf abde cdg cg af abe bdf ef df adf g abcde abce ace ce cf bcdf abcdf bde cg abde ade af abf af abdf abg bcde abcde cde bcde bcf acf cf cfg abcdeg abde bcg abcdeg f ade af abdf acde abcde cde bcde acdfg cf acf bcdf acfg abcg bde de bf ade f bdf ag acde g acde bcde abcde acf bcf abcefg 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abcfg acef abde abcg abde acdeg af abf efg aefg efg acde aeg h bcf cf acf cf abceg abcdfg de abde de f af f af eg bdg cde acde acf bcf acf bcfg ceg cg bcg ade cdeg bf af bf aeg dg beg abdg cde bcde acde cf acf acefg ceg abe bcdg bcg f bce af efg beg acde eg adg bcde cf acf bcf abceg acg bcg de h ade f af g eg acde cdf adg abcdfg bcde bcf cf be acg abe h ade bde bf f af abce bdg deg cdf cde cfg bcf cf cdeg be bdf abd ade adf ade abf adeg g acde abdg acde cde bcdfg acdefg cdfg bcdeg acg abceg abe bdf adf af fg ce bdfg bce h acdf cdf bcfg acf cfg acdefg bcdeg abcefg h df f adfg bfg deg ag abdefg h abcdf acdf bcdf cfg cdeg acg adf e df adf bdf abdfg deg ag bg dg bcdf acdf cdf abcdf acfg abcdeg ceg bcdeg acdeg h adf h fg adfg bdeg ag bcde abh abcdf h bcdf acfg cdeg acg bcg adf df adf df bdf abdfg abc defg ag abcdf h abch cdf abcdefg abcdfg abe acg abh bdf df abdf df abdfg abdeg abg bdefg abcdf abg acdf cdf acdeg cdfg bcdg cdeg abe adf h adf dfg abcde bdg abh ch cf cdf abcdf abcdfg bcdfg acg bceg h abh bcdh df ch efg dfg bdfg adeg acf h acdh cdf ade abceg abcdfg abceg bcdefg abh bf adf bdfg aeg bdfg acde eh abh ag abcf bcefg cdfg bcdg bcdfg bcdeg h f af adh efg beg adfg acde bcde cf abh bcf cefg cfg cdfg abcdg abch f bf af b bdfg abdfg dg aeg abcde bcf bcdh abh cfg ceg aceg bcdfg abe af abf af befg h fg aeg abh eh bcf cf aeh acf ceg acdfg dh h ceh bde bf af fg efg beg efg h abcdf cf abcfg bc abcf bcfg cefg abch af bf bde f ag fg abdfg abefg eh dg cf cefg bc cf abceg abe aceh f bf bde f fg ag abce aefg acde abcde abdh bc acf abe c be abdeh abh f abdh af bfg bdfg aeh aefg bcde abch beh acfg bc cfg abceg h bcefg ceh de f abfg aefg fg abfg aeh eh bcdf abcdf abdeh acdeg cdeg bcdg bcfg acefg df f abch abfg bdeg dg aeg adh bcdf abcdf afh acf cdeg cfg cdeg acdeg h df abcdeh abdefg adeg afg aefg fg h bfh bcdf cdf cdfg acfg cdeg bcdefg ade h abdf bcdh aceh bcfh abfg bdeg beh deh bcdf abcdf aeh bdh dfh acfg cdefg ade bdf bcg bdf adfg abdefg adeg abfg acde beh bcdf afh abcdf acdfg 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abch abcdh abdg acef bg bdg cfgh bdh adh bdh be cdg acdg bcdg bcdfh bcdh abch ch adefg adg abdg acfgh acd adfg dh abh adh cdeg abcg bcdeg cde abdgh bcdh abch abg bfg bg deg eg cd bdg adh bdh adh abcdg cg ceg ad bcf ch bcf abcdh bfg ag ade defg befg adfg adh af abcg acg bcdg acde bcdef afgh bch cdh ch fg ag bg beg adefg aefh bdh adefh cg cdg cg acg abcf ch ach cdh aceh abcdfgh abg bg ag agh abh h dh acg cg acdeg acfg abcg bdfgh bch bfgh ch abfgh fg ag dfh abdefg abf abde ah befh cg ade bcg ch abch bcdh bg aeg ag abg abfg abdeg bdefg cdfgh f abh bcg ade egh cg acegh bcdfh ach ch g ef ag g bcegh abcdgh abh h abcdg aceg bcg cdg acfg abch ch abch ch eg ae g abg ac abfg ah bh aceg de bcg de ade ach abch ch ach dg abe g abdf abfg bdefh bh adh cdg bf af b ace acdh cdh acdh bdg g dg aeg be adf bdf adh acdg abh cdg acg ceg ace cdh cefh ace ch dg abdg e eg abcdgh bdefh bdf aefh beh bcdg abcdg ceg cdh cdefh ch bch bcdh bg bdg beg acfgh abdh bf h cdg aceg acdg cdg abceg bcdf abcdh acefh bcdf abce 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adefh f af abcdfg abde abcg cdg abcdf cdefh ch bcefh aefg acf abcf abdg bdeg df aefh abefh acefg abcdg cdg ce abcdg ce abcdf bcefh abcdeh bcdf aefg bg dg adf abdefh abdf df cefg acefg acdg abdef abce cdefh abcdf bcefh acdeh aefg bcdef dg eg e be e bdf acefg acfg abcdg bdef cdg acdf bcdh acefh abcdf bdfg adg g dg be abdf d be cefg bcdfg abceg abcg bcdg ce ace abcdf befg abcdf abefg aefg dg be e abe e cefg acefg cdg bcg abce ceh abcdf bce acdefh ag abdfg dg abe befg abcegh adf bdf aefh cdeg bcg cdg abcefg cefh bcefh ce cdf ce g f abdg aefh befh e df be acg cdfg abcg abcdg cefh acefh defg bcdeh abce abg aeg bde de aefh be ae cfg e ac abcde abcf ach ch ceh adeg g ag ade abh bh de dh ef adf acg bcg abcg acde cf acf cf defg abdeg ag de bde abdh ah befh acdefg acdeg acdefg acg cde acde cde cefh defg adefg aefg acef ade de ade aefh bcdfg abcdefg abcg af acg ch acde bch acde cde abdg g defg ag ade adefh de adefh cdefg bcdg abcg abcdefg cde ceh bcefh acde adefg acf adefg ag ade efh de h bde abf 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Monoid Structure