Details Page for 0.7205

Complete Solution is Known:

MSV File: q-0.7205.msv

Growth Pattern:

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Details for Q₄₂₀(0.7205):

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 1 b ab a c b bc ab² c b bc ab² ab d bc ab² ab abc bc c ab abc ab² c d ab bd c bc abc ac c bc bd abd ac bc bd ab ab² abc bc c ab² abc ab c ab² abd ab c bc cd ad ab² bc bd ab ab² abd bc d ab² bd bc bcd e bd b d e ab abcd bc c e ab abe c e ab ab² bd d abc ab² c e d ab² ab e be c ac abc bc be bcd ab abe be bcd bc abd ace e abc ab abcd bc bd be ab² e bc be ad ace bc c abcd abd de d abde ace abce acde cde abd be abce bd e ab be bd ce bce abce bd abcd bc cde ace abcd bc f ace abcd abce c bcde ab ab² c d bc abce bd bcd bde acd ace bcd cde be abcd e abce be bcd ae f be c ab acd d bcd bd acd be abde bd acd f bf bd be abcd c bd be abcd bf bc d c abd abcde d e bf f cf bd e be abce bd ace bcde acd bd bc af abce acd abcd d be bcf ace ab c ab² ace abce acf ab² ab abde adf bdf ab abce abe e c acd be ace e df bc bf bd f ade c abde d abdf ae f be abf ab acd abce abcf e bc abdf c e af f bf abde be bdf e bd af c e ab² af abce abcf ab² acd bcdf bc ace c ef bc d f bf ab² bcde ab abcd bc c d bf ace c acf bc ace c acf be e abce d bc c f ab² ab acf cf bc ab abde d be ab bd d be ab ace acd abcf bcdf ab² be bd e abde be abcf e acf be abce d bd f abce acef c abcf d abde bcde be d abef cdf abce bc ab² af abce be c f abce abf bd def abcd abdef bcde abce bc abcf c d bc acd f abde ace acd d abcd bc bcde abce cf ab adef ab² ef acd abcef abcd be abce bef d bd ade abde c bd abce abde adf bd d ace be bd bc abde acd g d c ade ef abf be f cef bf bcde af d acdef c def cde bdef abdf e cde abcef ab² abcd ab ade f c cde bcde d abde acd be c abde ab ab² abef acdef acd f abde bf bcde bcdef c acd be abde acf ace bc c acf ade abdf cf acf ade be abde f bc be c bcde abcf abde acd g cdf abce ace bcde g abce ade acdef g c bd abdf ab acd be ace abce acd bc c d ab² bc cde adf ab² ace abcd acd g abde c d ab² ab bf bc ab² ab bcdf acd f bd bcde acd abef c g ab² e c bc f abce e be d abce e be c abcd ef be g abcd ace bef abcdef aef ace acd g bc be abce bcef bcdf cef c bcef bd bdef abce g bg cde d ace cef bg df bd abg e bcde bc abcdef abce abde ace abcdef d bdef abdf ab acf acd bg abcd adf ab² abcf ab be bg adef abde acd cdf d acf ab² bcdef d abde be bg e f be d cde ace acd ab abcd be d bcdf ace bcde abce acdef bcdf acd abde acdef bg be abcd bf bc abcdef cde bf bcde abde cde bc bg c bdef bc f c g bg bcdef c acdef def abde g adg bd abcd acf acg bd g ab² ace ab aef g acd abcd abce bcde g bcg d be g abcd acf ade e abce bcde bd g abce acd f g bg acd bcde ab acf acg abce cdg be f e bf acd f acdef bc bcde ab² d bg abcdef cdf acdef bcde ab² d cdef ade f bdef ab bg c abde ace bg g c bd acd acf bcef bc abcdef abde bg bc cdf c acd bc d adf bd ab abde bcde bc g abce bcde ade d abcd acg bc ab c bcdf cde ab ab² be bf abce adf ab² e g be abdf ab c be abcd ab bcde ab² abdf cde be g c acg bcde g abcd bg ade ab² acg adf be g ab bc ab² abce ab bd c g acg acd cdg c be cdf abce f bc acd g acdef ace abde ab abcd bd d f bcde bc abce abcd ade be abce bg abdf g adf acf cef g bg be ace abcd bcde ab² bd e bcde f abcf aeg acdef abdf bcdf d be ade aef abef acf bd d bcef adg g bcdf acdef bd e g adf adg ab acf acd abcdef aef acdef ab² abcdef g adg acd acg aef ade abcf abde g bc def adg abdf bc abde abcd ace bcde acd abcd bcdg f g ab bc ab² d e acg adf adg bd bcdf cdf ade abde e c ade ab² abcd adg f bd def abcd bc abcf g abce bc def bcef g bg ab aeg bdef bd ab c ab² ade g bdef cdg cde ab acd bd acg c g abcdef bf ab acd cde aeg d abcdef def e ace g bg abcd bcde abcdef abcg bc aeg cdf ab ace acd cdg adg ade acd d e ace c cdf bf acg abcdef c bd g f bf aef abcdef c acg bc ab² c ab def g d adg f g acf ade bd c bg be bd ab aef def g abcd acd def cde d be bc abdg adg be abde bcdf bcef be ab bcdf adf abce abcf bcef ab² adg abeg bdef abcdef abcd d cde abcdef e bf bdef abcdef ab e g abde deg ace abcdef abcf d bf f abcd adf cde ab² e bf abcg ab² f bg abef d g bc abef abce acdef bc cdf g acdef bd cdf bcef bf cde acg bcef bd ace abcd adf be bc abdg bcde bg abcf d bd abef bg bdef ab² f be abce bf bc bcde be bd f adg abde cdf abcd acf acg cef g d bcde ab e acf acg abcd e bcdf bcde bc bf abeg c e ace g d ab bg ab² f ab e abdf g bf abcg d ab acd cdg d abcd cde cdf be ace bf cdf c bd abef f ab bf abcf abef aef bf bc d g bg abcg ab bcde bc f c ade bc abce c bcdf ace ab acd ab² abdf ab e bcde abdf c d abcdef ab bcdg abce abcf ab acf bg e abcd ab² abef abcf bcde d abef ace bf ab² abcf c bcef cdg abcf cef d acd abdf ab bcef be aef abcd cdg c g abcd bg abdf abdg bc f cdg g e acd d bc bd abcdef d bf ade f aef e def be bcdf ace def d adf e abef be adf abcd cdf bcef bg abdf abef abce cde e bf bcdf aef bd acf bg ade cdg acf bg abcf g abde acd bcde acg acf adg e bf ab² adg abcf g acg f abcd aeg be def e adf abef cdf e abde c bc ace g cdf cef bd g abcf abcd bd adg abcg abcd bd acd g cde bd d cdg bf acg c d aef abde be bf bcdf cdf g aeg ab cdf acf acd bd abeg cde bf bg be c cde bcde f c adg ab² adf acdef ab abcd abde acg abdf cdg acf be bc bcdf bcef bg ace abcdeg bcef d def aef c d abcg adg abdg abdf cdg abce bcde abdf bf e f g cde bcef f acdef cde e acd ab bf d be ab e acg acd ab bdef f bcdf ab bdef be ade e cde abde aef bc c acf bf acg be acd bcdf abcf be cef aef abcf bcde acf aef cdf abcg bd acg be bcde c bg abef acd acg adg bd c abcd ab bd c cde abcf g abde abdf ab abcg d aeg acd abce abde bd be acf abce bd ade acf def bc bcdf abde cdf acd bg d ade abdg cde aeg bd bcdf d c abdf cde abcd abef ceg bf d ace cef ade cdf g abcd acdef c def aef ade acd abcg g acg abde abdg abcd be ab² acf d acg ab² acf bcdf cdf g abcd cde bc acf abde abcf be abcg abcd bd bc d c def ab² d bcdf bd g abce e bd abde adg abcf adf d bg abcf bf d cef abcf bdef c f ab² bcef d abdf cde acf f bd bf adf f e bdef c bcde bc g c abcf abde d e def bd ab d bg bf c adf ab² ace c f bc ab g acd ace c adg be bd bcdf g bcde ab bcdg ab² bcde be abcd ade adf ab bd g adf bg bd be acf abce f acd bcef abcf bcde be bg abcf g acf acdef bcde g c cdf bd g abde cdf bd bcef abde abdf bd aef abde ab² bcde acg cde abdf bcde c f cef abde e acd bd ab d acd ace abcd c bc bd e g abcg ab cde d acd bg c acf def acdef g acd bf abde abcdef bcde bf abde acd g bf abcg ab² adf ab bcde acd abdg abde cef acf d bg cdg be ab bc ade be ab abce ade bcde bg bd ab² d ab bd be ace acdef ab² be c e cdg abde f ade g abcd f ace be d def ade bcdf c ceg bd bf d ab² g ab d bcde be abce abcdef ade g c abde ace aef bg ab² abcg d c acd ade ab bg g abdg d acg ace def bg acd f ab cdf adf ace d acf f ace d bc bcde acdef adg f be ab bf acd g ab def ab² d cdf acd f abde abce ade f d adg bc be abcd cef bg abde def bd acdef abde cef bd abef abce bc ade abcg abce g aeg abdg abce ace acdef c abcdef aef g abce acd acg cef abce acd bd c bcdf be ace ab f cef ade c abef bc g abde adf adg abcd d ab² abeg c abce acd ade abde abef acd ade abce ab² bcde bf bcdf abef abdg abcd acg acd acdef cde adf ace abce e bd bcde ab bcdf ace ab² ab aef acd d e bf abdf abce ab acd cdf c ace ade g abde acg bc f adf ade abdg abcd acf abcf g d adf bc abdf c bg ade abce c bg abcf abce c ace ade d bg bc abcf abde ab² ade acdef abce ab² ade cef abcdef bd abcf ab acf ade g c ab² ade cde bg ab² g ab bg acd ace e acf ab² bcef abde adg ab² c bf bcde ab² ab bg ade c bf acd bcde e ab bc ab² abce bg bcde f abce bf bc c cde adg be g abcd ade f cdf cde bc abcdef abde bdef be ace acf abcg abcf e abce ade abdf c acf ab² def c be acd e bg bcdg ace ab c be abcf cde abde ab² e cdg aef ace e acf ab² acd ab d f abcf abcd bdef ab² cef bf bc g def e ace bd acg bf acd ab² e ace acd g e ace ab² g bcdf acd bcde abcd g be abce abcd ade acd c abcd be f acg abcd bc aef c ade bc abde ab² adg abcf c bf ace abdf d c ab² def d acf f adg c ade abdf def acf acd g d bcef bd e abde adf abcf abcd bg be ade e aef ab² bd e adf acd cef ab bdef ade cde abde be abcf cde aef bd abce ab acd cdf g abcd bd abce cde bcdf bcde cdf abce ace acd cef d adg acd abce cde abdf f c abcd ade cdf abde abcd bcde f cde aef bc d c bdef abdf abce bcdf cef abcd abce bcef ace ab d aef ace be c acg abdf abce c ace f acf be def cde abde ab² cef g abce bg abcf ab abde abcg e g acg ade ab c be abcf g bcef acd abcf e adf bg abcg ab acd ab² cdf ab be abcdef cde e be abef ab g ab² abde ab bc ab² adg bcdf bd be abcd bcdf bcde abce abde bd ab² c bcef ade abef d e bc abdf abde g ade f acd acg g abcd adf bc f abce adf bc ab abde acf bc ab bcef ade abdf cde abce bg ace g acd ade f g acf abcg e bcef acf ace ab d bdef def ab abce be abef abcd adf ab² ab aef bcde f abce aef ab² abdf d bc be abcdef ab bd acd def abcd ade c abce e bg f cde ade abcdef abde aef ace be abdf adf bc abcf acg ab bg f bcef bf cef be bcdf bc abcg abcd bf aef cdf abce adf bd abcd abce acdef ace abcdef bf ab² ace abcdef c g bg d bf acd e abce bcef bd abcd bf acd abcf ab bcef ab² abcf abcd abde g cdf bf bd ade ab adf acd abcf bg bdef ab² abce abde bf def abdf ace acd cdf e bc be abcdef def ace be abce abde bd be abce ace aef acd g adf aef f g e bg adg abcd bcdf bg abce bf ade f d g ade abcd be bcdf abdf cdf adf bd ace bg acf g ade abce acdef abcf cdf bg ab² ace cde adf acd g abdf bf bdef ace bg be acg e bg acd cdf cde bcdf g ab² bg bdef g abdf bg bd ade def aef adf f abcd bcdf bcde f ab ab² bcef abcf bcdf bg acd c acdef bcdf abde cde abcd bg c g abcd abef d g bd abcdef cdf ab abcd cef abeg bf ab d g bcef cef abce acg g cef adf be bc abcf d bf g e c adf acdef abde bg abcdef ace cdg ab² g abcf ace acd bc ab aef abce abcd abde abcg bcde abdf abcd g ab² bg abdg bf abef abcf bcdg adg acg d ab² ade abef cde ace abeg cdf bcdf acf abef abdf e bg acd g ade e be g bc ace abde acdef ab cdf abef bcdf acdef abde c ab cef abde g acd cde abcdef ade acd abcf f bf ace cef abcd aef acg def g acdef bg bcdg ade acdef abcf f c bg ab g be bg abcdef bcdf acdef abcd abde bcde adg bc abcd acd cde abcf g ab² bg cef bd ab² abcf g acf bcef abeg abdf acf bg f g acf abcdef abcf ab bcde f g ace acf abce abcg bcde bg c abdg g bcdg ade cdg bcdf abef deg ace bcdg c bf acf adg d bf abcd f c bcde ace ab² g abcd bg def abce ab abcd abdf g acdef def abef be d abdf abcg c bg abce be cde abcf bcdg abce c e bf acd acg abdf ade ab² bcdf cde bcde aeg g abeg acdef bg adg abcg ab² cde abcf bf bcde acg abcf bd ab² abef ace bcef abce abef def bcef ab² abef bcdf c d abdf bf aef acd cef ace adf cdf be bd acdef f ab² abcd ab cdf g abcd f c bc bg d bcde bcdf abcd f ade bcdf ab acd bcef cde f g aef ade cef g acd abce ade acf bcef e abdf bcde f cdf abcg bdef abcf e bc bcdf ab abdf bg bdef acg cef cdg abcd abde ace acd abef ab bg bcde abce abef aef adg cdf abcf ace abde g bd adf ab def cdg bdef c ade bcdf bg cde ab² ade ab abcd g bf d abef ade e c g bf abdf f be bf c ab² bd bf e f be cde cef acd ade abcd e g ab d def acd aef e ab² bcef acg abcd ab² acf d abcdef ab² bf ab cef ade bcef ab ace acdef d ab g ab² abce abcf bd d ab abdf acd bcef d bd ab² bg cde bd acf bg abce ade ace def abef bc acf abde g bf bcef be ade bf c g ace e abce ab² abcd bg c bc ade cde abef bd e cde f ade bc c acd ade e abcf ab² bf g cdf acf cde abcd f ade g acdef bcde bdef ab bd acd d ab def ab² d g bg ab² ab cde ade acf abcd ab ab² acf cde ab ab² bg d cef ace c abdf bd ab² abce abcf bd acf abce abef be acf cde ade bcdf bg abcf ade bcdf cdf abef ade ab² abde g bc bf abde ace bdef c f acd bf c f bc ade d g aef abcd bg acd acdef bcdg abcf be bf c abdg ade g cef adf ace abcd abcf ab² adf ab g ab² adg cde g be c ab bd acd d g be acf e abdf ade abef ab bf be abcdef ab acd bdef abce abcf bd bg abef g ade bg d bc ade ab d ab² aef abde abef g bg c abcg ace e d g aef abcd abef bc bcdf abcd bdef bd aef abce acd acg g abde bc bd c abef bc acg e ab² ace g abcd bc bd ace g bc bdef cde abcdef ab² c abcd ade acd e abcd bd ace acg e acd bg abcd abdg bd bg d ab² bd abde d ade bdef e abef bd bg d cdf be abce c ace be d abcd ace acf d g acdef abef d abcf bd bg abcdef be ace d abcg bd acf d g bd acf abce g bd cde c acd bcef d abde ab² bf ab g bd bg abde be bcde cde abef acd bc d c acd bf e g ace abcd d bd ace abcd g be abef d abce bd bf cde g abcdef c abef bc be c abcg bd abce c g be bg e ade f c abcf bd ab² ab g bcef bcde e bd ade abde cde abcf ade c g bc bd abde cde ade bcdf d bc bd acg abde ace abcf c abcdef bc bf e bg bc ace d acd ade abcd abcg ab² bc ab acf bf g ab adf acd g abcg bcde bc d bf bcde adg cde bcef bc g ab ade be f e ade abef ab e bd abef abcd acg acd abcdef g bcdf ab² abcf cde acdef be abcd g bd def abce cdg bc abef abcd aef bd ab abcd bc abef c bdef ab² g abce bd ade ab c bc bf abce cde ade bd d cdg ace abcf d bf bc abcdef abde acd ade ab abde ab² abcd abce be bd abcf abef ace bc cde adf acd ace ab bf bd abcd abce bcef bc abcdef abcd bcde abdf e aef be f abce bd bc f abce g ace abde abcd bc ab² c abde bd abdf ab bf bc abcdef cde acf cdf c cde bf acf ab aef ace abcdef abce bf bd abcd g bf bg e bcef ab² abcdef ab bcde bd abcf abce bc ace e d bf ade ab abde bc abcf abcd bcef acd e acf bcef bcde abcd ab bcef ace c g bcde abcf ab abde be f cde acd ace c g acd abcf abcd g ab² bg abcd aef bcde c abcd bd f abde abcd acd abef e ace g abce abde bd f abce bf ab² f e cde bc bcde abde bd bc abdf abcd ab² ace ab bcef bcdf cef abde bf g f ab bf bd cdf abcd ace bcde cde d bd ade abde bcdf bd abcd d ab² bd abcd acf be ade cde acf be abdf e acf bd cef c acd bc abcd abcg bd g abcd bcdf ace cdf cde adf ab² abef cde bd abcdef abcd e bc abef abcd bf bcde cef abcd bg acg d abcd ace cef d bf bc f abce bf adg f c ace ade d abce acdef bg abde aef acd abcg d acf bcde cde f aef ace cde bcef bg abdf abcd adf bd abcf ab adf bc def bcef bcde ade e abcg bcde cef cde bd abef def abcd acdef be g bg ab² abdg abcd acf acd abcf abcd bcdf bc f abcd acd bcde f abcg ade def abde e bd bg abcd bc acd abef e bc f cde e ace cef ab e bg abde g bf ace ab g ade abcg d bcdf bd abcf ab bf be abcd c abcg abcf d bf acdef abdf e acf ab² cde d bdef abcf c bg bdef def c abce ade abcf abcg bcef cdf abcdef e bc ace abcf e ade ace cef bcde acd abdf c acf ab² d e bd acd cde abcd be bg acd bcef ade abde e bc bg abef e bcef be abce e acd cdf g ade ace d ab acd bg abcd abce ace abde def aef ace f adg bf ace abcd g bcdf f d abce ace abef cde acf bc ade e bcdf bg abcf bcef abdg def cef abde bg def abcg bcdf bcef abdf g ab² bg abcd abce cdg def d bcef bg ace e bd bg def abcg acd abcf cef acf ade bd e aef f abdf cde ab² adg ade bg acg bcdg abce bcdf acg abcdef e bc bg abcf cdg acf be abce e ab cdf cde bd bg ab² abcg acdef acd cdf c bf def abce adf bcef abcg e cde d cdf def bf bg cdf abce bc ade abdg bcef ace f g acf adg ab abcg bg def ab bcdf bdef ade abde ab² bcde bc abcg acf bcde abdf bg acf adg ace bcdf bdef adg cef aef bcde g abcf ace bd f abdg bf c cdg ace bcef acd abce bcdf c abde abcg abcd adg d bf bcde cdf e cde bcde d c bc adg abef g acf abcg c bcdf bd bcde c adf ab abcf abcg bc bg cef abde bd e g adf bg bd abde bf bc abce abcdef acf bg abef adg acg bg abef bcde adg cef bg be ace cdf bdef bcef f abcf adf ab² abef cde acf acg abde bf bcef adg abcdef d aeg cdf abdg bcdf abce f abcd ade bf f ab ade acd c g bcef abef cdf aef g abde abeg ace bdef d abeg e abde c acg abeg abef f aef 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def ace ab abde f abcd e g ace cdg abde acf ab abcf e bc abdg aef adg ace bg ab f cdf acdef e acd cdg abce e bcde acg abcd g ace abce ab abcg f bdef ab ab² bcde c bd be f adf cde acd be adf cde ace abce bf abdf bcef abde ab bc bg acf aeg bd c e bf ade abcg adg cdg acg e bd abcf bf abde adg be c abcd cdf bc d aeg be ace abcd acg abdf ab abde adg bc ab c ab² bc ab bdef f aeg bf abef ace ab bf ab² ade abcg adf be bc cde abde c bcde abce def ab² aef ab acg ab² abcd bc ace bd d bc ab² f abce acg bcde g ab bc abef c aef f g d ab bd def adf e bcdg abde bdef bg abcf ab² ace bc be acdef abef ace g c bg bc bdef acf acg ade abdg bg abcf acdef abde acg bc bf bg cdf f bf abce cdg g acf be ade g ab adf bd g bg adf ace cde bf adg g ab bg bcde c abcd adf ab² bf ab bcef cdf ace bg bd bcef abcd bg ade c ab bg ab² abdg bf f acd e bcdf bd g e ab f acf abde abcdef be c abce abcf bc d adg ab g adf adg be abce d bg abdf cdg d bd be abce abcf bc abdf abce bg ab² g d adg bc ab c bd g bf bg bc g abce ab² bd ade abce be bd ab c abcg ace acf acg ab² ace e be bd g abce bcde bd ab bg be abef e acdef be abcd e bcde ab² abde e abef cef abce acdef abdf g c ace f e ab abdf acd abce e ace g adf bg bc bcdf adf acdef cdf c abcd acdef bc c bg ace g ab acg bc acd c acg bd g c ade bd abce acg bc bcde g bdef ade e c f ade ab abde be abdf abce d be e ab d ade abcf ab abdf abce abcdef aef ade abcg ab d aef ade bg acf cef abcg abde be acf e abdf f bd ab bcef ade g c bg acd abde e bd acd abde abcd bc abcdef c bf bc cde bg ab bcde g d bc ab² acf cdf bc abcdef abde aef bc g d adg abcg c abcd bd abcdef abce aef bd ab d bcef ace cde adf acg bd cef abce bdef def aef acdef acd ab abcd be ade abde d be abcdef abcd d ab² bc bg acf be cdf abcf bg bd def bf bcde bc abcd bg acd abde abcd bdef bd g abcd abef bd adf abcd bg ab² d e cdf be bf acdef acd abce abcd ade be abce e ab² cdf d g bg c abcd bcdg be bg e ab² ace d bdef abcg ace abcd adf bc abcf d aef g abcdef c ab² bd abcd abde ace f d bdef ace abcd e bg abdf abcd c 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abde bd abdf bf d bd ace abde be bcde ade cde g abcf e bg ace ade cde adg bcde acg adf bceg f c abcg be f abcd adf bcde cef e bc bcde g c abcf abef abde e bd ab² abcd abcg cdf adg e acdef abef g cde abcf abef e bcdf abdf cef abce g bcde cdg d acg bcde abcg acf bd cef abce f adg abcg d bcdf bc ab d bg ade abcd g ceg cdg abcg bdef bcde bf e ab² abdf cde c acg abdf e d bcde cef abce adf bc ade ab adf abdf c e adg be d e f abcdef cde bc ab² be ab ade acd abcd adf ade acd abcd acdef ab² g acf aef cdf g e bd acd abce bcdf be cdf acf aef ace abde c ab bd abcdef cde cef bd be acf bcde acg bdef acdef abdf g bcdf bg abcf acg abce f cef abde acdef ab² bd c acf ace ceg e be bd g bf abeg def bcdf acf abdf def bf g abcdef cef ab acg acd abcdef acdef ab² cde abde be ab² abcg abce bdef acd abcg abce acg be c bf ade abcdef e g abdf f c acg acd adg abcd be ade acf ace g cdg cde aeg abcf abcdef d adg g abef bdef ace ab² acf bc be abef abce adf abcf g d bg bd acf abcd abcg bd e acf be acd g adg bd aeg c f bd cde d def abcf e abde ace bc c aef ade cef ab adf abcg e abcd aeg def e cdg acd abdf abcd bcef be bg bc acg c abcd aef f abcdef bf g acd acg bf bcde f cde d be abcdef bf e bc be acdef aef f acd e abcf ab² g cde cef acd acf abcd abdf acd ace bc abdf g d ace bc cdf adf bd abce bcef bf e abcdef acf acdef bd cde c aef cef ab g aeg bd adf cde abdf cef ab adf bd acdef bdef ace abef abcd bcef ace bc d bdef bd bc bcdf g cdf cef bf adf bc bg acg bd g aef abde ab² abdg adf bceg acd abeg ab e ab² cde aef acg f c def bc abcdef bcdf adg ab² f bf bd g bcdg c ade abde ab bg bd abdg ab abce bd d bcef cef be ab e def aef cde cdf ab² g ab ade bd bcef acf ade abcf abde acg bc ace e be ab² abcg abce bg f abeg acf acg def cde acf bc be e cdf ace be abcd f def ab adg ab² g c bcdg def ace bf abce ab² acg adf abcdef ade d acg g abcdef acf cef ab² g abcd bd acd g abce bc ab² aef bcdf bc acd abcd abce bd cdf ab aef be bcef d ab² bd c e ab² acf acdef g abcf bcde abce def abcg abde acdef adg be e acg bd g c acg ade bcde d bg ace abcd d bd g c adf f ade e def bd aeg acf be bc abcd bcdf bd cef abcd abde ade aef e abcdef bc adf acg cef ade d bg f g cde acg acd acdef abde bg be adg e abcf abdf acf bcdg bcde abcg d abcdef ade acf ab adg ade bcdf g bd abce c e bcde d c def bd abce ab ace cdf abde aef acd abcg abcd e abdf g c acg bc aef bf bd ace abcg bg ab² bd c aef bc acdef c acd bc bcdf aef bg bc cde c bcde ace abcd acg adg g ab bdef ab² abcd def acd ace ab acg ab² e abde be acd bf ab be bc c abce bd cef ab bcdf bc ace ab def bc acf bg bcdg acd acf e bd be cde e cdf bcef abde acg abcf c bg acd ade abde bcdf bd be abde bg bc abcg abde ace bd bf d ab² g c bg bc abdg c bcdg ace g d abcg ace cde d bg ace c adg bcde cef bf bg acd cdg bcdf acdef bd ab bf abdf abcg abce adf abdf cef abcd adg ade def e bg f abde adg aeg c cde acg abcf g d abcdef acd abde abcd cdf ace acdef bdef f def d bg be def acg bdef cdf g abcd abdf be d bcdf bcde g ab acdef be c d bcdg g abef acdef adg bcef c acg bd abcdef d adg acd abef abce ab² bcde bf aef be abdg abcd cdf bd g d acg bd e d acd ace abcd abde acd f e c be acdef d abcdef be adf bf bg f e bdef bd abcg d bg ab² g ab abdf ab² abcd abde bc ade adf ab bd g abcd adg ace g bg acd ab² bcef acf be ab² d bg bc g c ace bd abcd e bc cef c bf ab² g ab bg ace abce d cdf bc g adf bcde acd abde c ab² g e adf ade abce c bcde ace e d be g cde bf acd bc abcd adf bcde cde ab ab² bcde aef abde ade cef abce bdef bc abcd ab bcef ab² abdg ab acd ab² d bcef ace be ab adf acf d c bdef ab² g ab ade abef cde bcef adf abcdef ab ade ab² g c bc acd abce cde ace g ab abcf bc be abde bg ace abce cde bg cef abde e ace abdf c adf acd g ab ab² abcf g acf bc bd c aef bc acd d bcef bd cef c g ace abde e bc abcg c adf acd abef ab bcef acd cde c ade acd def acdef bcde f abcd abce ab² ade bf e bcde abcg abce bc be abcdef bcdf bcde cdf d abcd ab² cdf e bf bc c acf be f c bf g abef ab acdef bd abce acg aef be d bg cdf f bdef acg abcg f adf ade abcf g c bdef cdf abcd acf abcdef bc ab d bd abcf acf g ace abdg acf ade abcf abcd acf c bd d acg abcg cdg e g be abce bf bd abcf e acdef be abcf c g acd cde abcd bd f abce bcef g abcf abcd bcdf bd ab² c aef be cdf bf ace f bg bf acd f abcd cde cef f abce bcdf bd c bf be bd abce bcdf be bcde abce bf acd bcde abde bcef ade abdg c abcf bc cdf cde ab² f c bd abdg g abce ace ade g c bg abcf abcd g abcg abef acg adf abcf cef ab bcdf abdf abcd c be ade bf abde bc d c abde bcde e cde adf bc c g adf cdg c acf bcde abdf aef acdef be cde bf ab² ade d abde acd abdf bg aef ab² ceg bf g abdf abce bcdf ab² bcde acdef bcdf g cdf adf bd e d acf ab² abdf c adf bd cdf abde abcg ab² bcde d bg ace c abde bg abef g ab² bg cdf e acf ab² ace e acdef abdf cde bf bd abdg cde acd bcde abcf adg adf bd ace abde bg bd c abde ade abef abcd adf acd ace bf e abef ab aef bc c ab e acd be bcdg e cdg def acf e f abcd adf ade f g bcef cef ace abde e def abcf abce bf bcde abde ab² ade cef abde e abcg abef adf bg c cdg acg bg ace c d abdg abcf g abce cef abcd acf bg be abcg bf bg ab abcg acf be ace bdef acg f abcf e acdef bg abcg bd ade be bg bdef abeg abdg e ab² ace ab bf ab² f abcd bcdf d def abcd acf adf ace e bf ade abdf bdef bg be abcg e ace f ceg ab ab² f bd abde cef abcg bdef def be abdg ab f cdf e ab ace abcf bf bg ab abce bf bd abcf g abce bc acd bcef ab def cde ab² abdg bcde abcg acf bg ade abeg bcdf d abdf cdg cde f cef abde bcef f e adf d bc abce adf g f bg ace abdf bd bf bcef abdf abde adg bdef ab² abcg be bcde abeg e bcef f bf adf aeg abce e aef c abef bf abde ade abef bcef ab² f bd acf abcd cdf acg cde g abef bcdf bg cdf ab² cde aeg abdf ab² bcef adg f ab² ab d bg bcdf ab abdf cdg adf abcg bcde cde d cef e abce abcd bc abcf cde g ace bd d adg ace adf acf f cef ab c abdf e adf c bceg g ade c bg acg bcef abdf abcf bcdf d bcde bd adg acdef abef abde bdef bg acg aef ab abdf abcdef bcdf bc abef acd bcdg bc f bg ab acg acd bcef ab g ab² bcdf bc d ab² ab abdg abef ace acdef bf abeg abde ab abdf acd acf acdeg cdf be bcef abcf bc g bf bcde cdf acf bdef acd f bcdf abcd ace acd ade bg bc cde d abde abcdef aef abce abdg bcdg acf bcef abdf g c abce cef g abcd abef abdf adf bg be abcdef ade f def adg abcd bg ab² bc ab aeg bd bf acdef abef g bcdf abcd f bc abde bg acd acf acg be bcde bf ace f ade abce aef adf bcef abcd adg bcde d e abde ade acdef ab ace ab² cde abdf abef abce e g bd cdg ab abcf cef abce ab bcde bd cde c abcd acdef aef f g e acg def abef bf cde ade bdef g f bc acg c abce bc abcd c acd bf bcef abcdef bc adg abcd bcdg bd bg abcd cdf be ab f bd bc c g ade abdf acg ab² acd aef e f bcde cde e cdf bc ab adg ab² bg bcdg g ab² abde cde bd acg aef g bcde acf d g cef bg c g bc aef bcdf cdf bd acf abcf ade ab² c abef bc f c e ab² abcd abde bc acf c abcg bc cde c bcde bc aef c def bc acf abcd abef e abde ceg ab² bcef ab abef ade ace c f bcef e adf f aef ab abcd bc bcdf abcg abce bd c bdef ab² bcde d cdg g bd c abcd abcdef acg ab bdef ab² bcdg ab bcde acg aef adg ab² bcef abde abcdef ab² cde d abef bd bcef abcf ace g abcd ceg bd e abde def be acf c abcdef bd abce acg ade aef abce abcdef bc bg abcd acf bd cde abcd bc ace acg adf acd bdef c f bc abcf c bd ade g acf bc aef ab adf bd acdef d abef bd acdef acg f g abcd d ab² g bf d bd ab e adf bd acf cde acd bd e d ab² abdg ab abcdef ab² ace e def ade abcd g bg bcde abcd g abcf cdf abcd adg ab² be bcdf cef abcg g e ace bdef d abde ace g abcd acg bc c acf f acd e abcd bcdf cdf d g acd adg c bd acd abcg acf bd cef ab abce ade bc d cde abef g d ab² be aef c ab² ade ab f bd aeg ab abde abdf cdg d acd ab² aeg adf ace ade c ceg be ade d g ace acg ab adg ade d cdg bcde abef cde acg acd abef ab g ade c cde bcde cef abcd adg bc bcde c bcdf ab² g acf ade acd abef e bd ace c acg ab² abdf c acd bc aeg cde bdef be abde cde bd ade e bcef bc ace cde acd bc g c acg bcde ab d adg abdf abcd bdef ade cdg ab bdef ace f abde adf be cde e ade ace abde bdef bc abcf d g f def cde bcde cdf acg abde ab² cef bf adg acd cdg abef bc abcf g bf bd abcf abce bcef ab² g c bc ace abde d ab² acd cde e ace abdf c ade abcf def e bdef ade ab acdef g be ab bf ace def d g be abeg e ade ace abde d ab² bd e d be abcf abde acdef be cef acf ab² c acg d ab² cdf abce bf acd f e bdef acd cde ab bc ade e acf bc abcdef abcd acf be f acg bcef acd g cde be acd abce abcd bd def d adf be ade abcd g ace d bdef g bcde abcd cde be acd acg adf ade def abce ace ade e cde ab² abcf d bcef ace abcdef d g ade ab abde bf ade abcd e bd f abce adf ab² abef abde adf ade cde abde acd ade e d ab² ade abde bcef bd abcd ab adf ade abcd g acd ade abce bcef bcde ade d g ace abef bf bcde cdf c bcdf ace f abcd abce bcde abcdef ab acf bcde d cde g acd c bf f bcde abef g acg cef e ade abcf def c ade bc abde g bd f cde bcdf bd abde c acd cef d bcdf ab² abdf abcd bf ade abdf abde adf ade cde bcdf bcef ade e adf ab² abdf abcd acd ade cef c acf ab² abdf ab be ace abcdef bcde g abdf ab bcde ab² c ab acf be abef bcdf bcde abcf g ade bc def cde g ab² abdf abcg bf ab² cde e bd acd cde abcd cdf abde g bcdf ab² cde ab bd abef c acf be acd abde e bd cdf ab bg ab² abde d bc abcf ab d ace cef e acdef bg acg c cdg cef abcf e ab² f abcdef bf adg f abde g acd abcf abcd bcde abdf abcdef d bd abdf c bf g abdf c ace bd def abcd acg be g bf bcdg f c bf bc def d adf ace g cde bd f def bf bd abef cef bcef acg def acf bdef acd e abdg ade abcdef cde bf bg abcf aeg acdef bd abcdef g abcg abcf def g bc bd abcd be bg cde g acd bd abcd bf aef cef abce d be abcf abcd adf f cef bcdf acd bd cdf c acd def abcd acf be f abce aef bcde cef g bcef f ab cde bd f abcd c be abce d bd cdf abcd bf bg bcde e bcdf acd ab² abcd bcef bg d acf bcdf bg cdf abde bd f abef bcdf bdef ade abde bf bd e g bcdf ab²

Monoid Structure