Details Page for 0.3646

Complete Solution is Known:

MSV File: q-0.3646.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₉₈₈(0.3646):

Q = <a,b,c,d,e,f,g,h | 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>

P = {a, b²}

Phi = 1 a 1 b a ab b c ac bc c abc d ad b ab ab² b cd acd abc c ac abc c d b ab abd b ab² cd acd bcd abc abd e bd d ad b ab bcd acd c ac bc abc d bd ad d e ae acd bcd cd c ce ace d abd ad d abd e ae cd acd bcd ce ace bce abd d ad abd e bcd acd cd bcd acd bce b bd d c ac e abc acd cd bcd acd ace ab b d ad c e ac c be acd ce ace b ce bce ad d abc ae bcd be abe ab² abce b ab abd de ade abc be e ae cde bcde abcde ab ce ace de bde abc f af bf be cde bcde cf acf bcf bde acd abde abc f abd c cde d acde cf bcd de ade cd acd abc f abd bd ad d cf acf bcf bcd acd de ade f af abd bd be abd cf acd acf ce de abce f af abd cde ae be abe bcd abcd ade de ace ce abd f af abcde acde e ae be abc acf df ce b abd af abf cdf be abc e c acf ce ace ab b bf ab² abf e c bc abc bcf abcf ace ce ab² b bf acd af c ac abc adf aef ace ce bce abce bef acd bcd e ae be bcef acde d abd ce ace de acd cd bcd bf ae cde abd d cf abd df de acd cd bcd acd f cef bd d acde cf acf de acd cd de f af abef d ad abd d abc cf acd cd bcd acd f af cde d ad abd cf acf de adf ef acd bf ace abcde bcde acdf abd abc e be acf adf bcd abce abef ce af cdf cef abc e be abcf df adf aef ab ce abf acdf abcdf abc abd e adf bdf abcf aef b ab ace acdf abcdf abc cef e ae df abdf bdf ab² ab aef abcdef acdf ae abc e acef d bcde bd b ab bef acd bcd abcf abcd f acef abcef g cde adf ef aef bcd bef acd bcef cef af f d bd abd g acdef cf cd bcd de abg g af d abd bd adg ef bef cf bcd acd acdef g acef abd bd cde def bef g df cd ef acd ace abg d bf def cde ae be acd df cdef de ce ace abce abdef bcef g cdg abe acd abcdef df cdef bce ace abce abdef bdef bcdf ae abe acg ae abcdef bef ce ace bce adg abcdg cdf bdef abc e acde bcg cde bdf ef ce ace bg bcg adef ae be acg abeg abcde cde ab bce abce ce ade bde bf bcef abcef eg acde bcde cde ef bcf acf de ade bde cef f acef acde cde bcde acde acf abcf bde de abde cef bcef af abf cde bcde aef cf acf abde de ade abde acg f abf cde acde bcde abc cf ef de ade abde acg deg def acde cde bcde eg acg bef abde ade bdf abde aceg abceg def cde acdf adg acg bcg adf acf df adf bdf bceg bdef cdf abcdf abe acg adg cdg bdf adf df ab g ag cdf adef acdf abc cg acg bcg df adf bdf bcf cf g abg cdf ae bcd acg bcg abeg df bd ce abcf bdg abcdg ae abcd e bf abcef aeg bdg ce ace bcf acf g ae abcdg be acef f bf bdg adg ce cf acf abef adeg abcdg cdg abf f af acg adg bcf abcf cf de ade abcdg bcdg adeg f cde bcdeg bcg adg acf bfg bde de abcdg bcg bceg acef f bd adg cdeg abeg abcdeg cf bde adf cdef abfg bf acde bcde acdf cdf def abeg acg bde df adf ef g cde bcde bfg def abe aeg acg cg acdef df bdf g abg aceg bcdf bdef cdf cef bcg cg bcfg cf df abdf aef g abg cdf acdf bcdf cef cg abdf acg df abce ab² ef bef aceg bdeg bc abc abd bcef acg bcg ab² ab b abcd bcfg bcdf abc bc ac af bcg adg ce ab² ab abcd abcf cdg abcdg acef cef bcef abd bcg adg bdg ef abcd acd bef abcdef abcdg abf bcef abcef bdef abdef adg bfg abef ef bcd bcdef cdg bceg abceg bd abd def acdeg adg bcg acd cd abcd cdef abdf abdeg bd ad cdf def abcdeg acg cg cd bcd df acdef abdf g d cde c def acg bcg bcd cdef acdef bdf abcdef g abg ceg def abc cdf abcef bcg bcdef cdef acdef efg abcdefg g bceg bdef c cdf aeg cg bf b ab² ab abce g bcf abg adef c e f af cdeg bcdef b bce cf acf abcfg abc c ac af bf beg b ab adg cf bcf aef g bc cdg acef bf af abcg b adg aef cf abcf abdfg cdg abc acef f abf af cdf acdf ef acf abde cf bdf abdf cdg cef acde abcde e bcdf adg aeg de acd ade deg acef g acde bcde acdf cdf bcdf acg acd de abde df bdf cdg bcde cde acde bcde acdf fg cd acd de ade df acdg cdg g abcde cde abe cdf bcg abcg df bde bce bcf abg g ag cde be acdf abf acg cg bcg abce ce abdf aceg bg abg bcde abc af beg acg cg fg ce abce bcf ef ag g cdg abe f cef afg abcdeg ce h cf aef g bceg ae e acde af f afg acg bdg ace cf abdf cdg g acdg abe ae f bcef adg dg cf abce acf ef cdg bcdg e abe be abfg cdeg dg bdef de abde ace abcdg acdg bcdef acde h cde acdf def adg cdeg ade acd adf bcfg abcdef cdg bcde abcde cde acdf abcdfg bcdeg bcg abde acd de abdf g ag ceg cde bcdf acdf def acg eg abcefg de df abdf g bg ag cdf acdf abcdf bcef cg bcg df adf bcdef ef g ceg bcdf d cdf acdfg bcef cg abdf eg bcd bef aef abg acdf g be bdeg acef bcef acg abcg acdeg ab² b ef aef g cdg c bf cef abcef adg dg bdg ce bcd ef aef abg bc be abe bf cefg bcg dg cdeg cf abde bef g abg cdg bcef acef bcefg bdg dg adg ce b acd aefg cdg acdg bcef d ad abd adg bfg abcdeg bcd acd b bdeg abdeg g dfg h d bcef cdfg adg acg abeg acd bcd df g bcfg bceg abd def d cdfg beg eg h acd ab² df dfg g ceg d cde cdf abcefg eg acg bcdef acd bcd bdfg ag bg aefg adef abdef cdfg eg acg acdef cdef abde abcdef ceg aceg ag c bdef cef acef acg beg abeg b cdeg ab² cfg aceg acfg bdeg deg acde bf abf f bdg cdeg ce bcf acfg bceg deg cdg adeg ae bcde acdeg bcdeg bdg ab² cf acf abde cdg abcdg acef f af ae abfg abcdf cdeg aef b acf abcfg abcdg cdg abc af h adefg abcdeg cdeg aef b abh h abcdg adeg bdeg adh dh abcefg bfg abcdeg abeg abcdfg h adf abde de dfg ag abd abg cdf d cdfg aeg abeg h bde adf de aceg bceg def d abd bcde eg cg adg cdef de abde bdfg bg abceg bcdf acde abcdf abf acg cg bcg adf h abcf bde g cdg ch d abcdf abfg aeg eg bcd acd abde cf ceg aceg bdeg ch ach cef c af bcdfg acdeg h ah bef ce cfg bcdg adeg af abf bcdef aeg acefg cdeg acf bcf aef cfg bdeg ch c f cef abfg bcefg h bcdeg acf cdh efg beh abcdg deg bf abf dh acefg cefg bcdeg ef cdh bch aefg cdg bdeg bf f ach adh afg bdg abcdfg cdfg cdh bcdef ce acdef bceg abg bch acdf bcde bcdf bdg cdeg abcdfg bcg acd cdef bdfg bceg g bcde cdf abcdf bcdfg abcg cg eg adf bdf acdef abdfg g bch acde bcdf def bcg acg abdefg df abde adf ceh abg ag abcdf aefg adef abcdfg bcef abd adf bdf h aceh bg abcdf abg bcfg aefg cef cefg cg acg bdg adg h bcf bef g abcdg bdeg ch f af bcg fg adg bdg bcf acf ef cfg acfg abcdg ach acef bcef bfg fg acdeg h abef abcf aef cfg acdg bcdefg abf f acef abcefg dg abdg abh ef aef abcdg acdg abg cdefg cef bch abd bdg adg acefg abh abef df acdef acdg cdg abceg cef acdf cdf dg acg adg h cdef bdf acd adfg ceg ch h cdf abcdf abcdfg acg aeg abcdh bcdef ef acdef adfg g bdfg bdef abcf abdef acdfg cdfg abfg bcdef abcdef cdef g befg adh g acdf def eh acg bcg acdeg cdef bcdef abef bcfg aceg acfg cfg ach acef eh cg beg fg abcdeg cdef aef efg g abg bdeg bdef abf acef abcef adg abcdeg ah cdef ef abcf efg bcfg abdeg ch abf acef bfg fg aeg adefg bcf ef abcfg cdg deg ch acef f bcef adg bcdeg defg bef acdef ef ach bcdg cdg acef abf bcef abdh adg bdg abcdeg bef abef bcdh abce adeg dfg abcef adh adef adg acdfg acg abeg cdh abcdh cdg acdg g abceg deg dh adef acdf acde beg acdfg acdh adf df bdf deg ag dh abdef cdf acdf bcg abeg ch abdf df acdef acfg ceg abceg h def abcdf adefg cg acg bfg acdef df adf g abdfg abcfg d def bcdf ch acg eg abfg ceh ah g bceg abg acfg cdg abcef ach af bf aeg abcefg h abdf adf aceg acf ceg ch ach f af abeg aeg acefg h abef ef adeg cdg acfg aefg f bch bfg acdeg bcdeg adefg aef h acf cfg aceg bdeg cdefg ach cef acdeg cdeg afg abcdeg abdefg acf cdh adeg acdg bceg ch dh adh adg abcdeg defg bce cdh acf acdh bdfg cdg g bg dh af adef adg acg defg cdh acdh adf abcdef adfg acdefg cdefg adh cdf bcdf eg acg cdh bcefg h cdef abcdef g adfg ch ach abcdf adef acg eg acefg ah bh cdef g aefg aceg befg bdef adef aeg acefg acg bdefg bdf ah ef bef g bdeg befg acdf ch acg abfg abcg cefg ah h abef bg g cdg bcfg ach af eh abcg adg bdefg cf acf ceh bcf cdg efg ach bch bcef acef adg dg bdefg abdefg bh acde abcdg adeg cdefg ch bch af abcef adg bdg adefg h aef cdh abceh cdg dfg cdefg ch cef adef bdef acg acdfg aef abcdef acdef bcdg cdef cdefg acef cef adef abdef acg adg bcfh deh cdh bcdef abdf g bdfg dh def adh abdef cg acg abeg cdh acdh ceh adfg abg abceg dh def eh abcdf abcg aeg cdh bcdh ceh aceh aceg cdefg efg abcf cdf bdef acg bdefg adg abcfh h ah bh g abg abcdg ach bdef ch abcg cg dg acdef h bh ceh g abcf acfg bcfg ch ach abfg cg acg h ah bh cf abcf acdg beh bch ch ach af acg adg bh h ah abef cf cdg bdeg bch cef acefg adg dg cdeg ceh abh cdh deh adeg abcdg abceg adfg ach acef dg adg bdg abdeh h cdh abcf acdg abdf fh cdeh acef bf dg bcg beg cdfg cdh acdh bdeh acdef aceg ceg cdeh bdh adef def acg eg adeh h ah abcdef acdef g fh ch ach abeh bf cg bcfh bcdh cdh abcdef adf ag bceg g ach bdh bch eg cg bdg afg aceh h adf aceg bceg adeg adef ach abch cg acg cef bcdef h ah ceg bg cf bdeg bch abcdf aeh cdf abf bf h bh abh bcfg bef bg abdeg abch adh acef fg cg adg h abh bcfg abcf cf cdg deg ch abfg bfg abeg abdg bcdeg h abh cdh acf adeg bcdg fh bch abch adh cdeg cg bcdfg adefg h abcdh abcdfh abceg cdg bceg ach adh bdh abcdeg bdef cg abdeh bcdh cdh adfg bcdg acdef bdfg abdh dh bdh abcdf acdf bcdfg acfh ah cdh bdeg acdef ceg bcdeh dh bch abdef abcdf beg adefg cdh abceh abcdefg acdef g abg dh beh bch abdef eg acg abcg bcdh h abdf g ag cdg dh adef bch beh bdefg adg cef bcef abcdef abh ceh ef acde efg ach abch aeh c cg dg ceh ah abceh defh aef abcdg efg bch aeh cdefh bc c dg ah h abcdh acfg aef g ch bch abch af abcg bdg cdeg h ceh abefg ef g bcdg ach ch acefg af bdg bcg bdef h abcdh aefg abdeg cdg ag acdefg acdeh dh bcdeg abcgh acdf acdfg cfh acdh deh bcdef abcdef ag acdefg abdh bdh beh d abdef bdefg bdeh cdh ceh adf cdef cdg abceg dh beh abeh bcg acg abdg acdh cdh ceh acdef cdg abdeg adh ach bdh defg acg adg cdefh cdh acdh acdefg ag cdg acdg cdfh dh abch bch cg adg acefg cdh bh ceh abcdefg bg bcf adeg ach bch beh beg bf bfg h ceh abh cf acf cdg aeh eh bch aeh bdg abcg ceh aceh bceh adeh b acf cdg eh abch beh bcefg cefg bdg aceh abceh ceh acdg efg adeg beh abeh abch beh cefg dg cdfg h abh efg aefg adeg acdg afh adfg abch bcdeh abcdeh bdg acg cfh ceh h cdh bcdg abdf acdg fh abeh adh bdefg acdf cg acdfg abcdh cdh bcdefg abceg ceg abde bcdeh bdh dh dg def acg eg bdeh deh dfg adf g acfg bcdeh cdeh adefg cdfg cdf beg abdeh bdeh ceh abdfg g ag bdeg abcdeh ach beh bcg acg eg abcdeg abceh bceh bg abceg bceg adeg cdfh bcdfg cefh egh cg acdeg bcdeg aceh h gh acfg abcf bdeg ch ach abch afg be abe bcdeg h abh ceh bdeg bcf abcfg ch ach aeh fg be abe abh ceh h b cdg g aeh ch ach fg adg acg eg bceh abceh cfg cdg bceg afh aeh fh beh fg bf adg aeg abceh cfh acfg bcfg acdg adf dfg beh adh bcdeh abcdfg cg bcg bdfh abcdh bcdh bcdefh abdf abcd dfg adh dh bdh cdfg bcde bcdfg acfh cdh bcdh dfg acd bcd bfh adh bdh abcdfg cdfg cde bcg acdh cdh bdfg dfg g cdg befg dh defg acdfg abeg cg cefg dfh cdh bdfg adfg dfg bdeg cdfh dh cdfg abcdfg acdfg dg acg dfh h bh agh deg cdg aefg ach bch aeh abcdeg cg fg befh h bh agh aceg acdg aefg ch ach cefh dg adg fg ah h abh cfg acdg acfg ch ach bch fg afg ae bc abh bh aefg efg bcdg aceg bcdefg ch ach abegh dg adg defg bdefg cfh bcdh abefg g acdg cdefg ch adh bdh cdeg dg abcdfg defg cdh abcfh abdeh acdg bcdef acd abdh abeh bcdeh bd adef abdefg deh abcdh abceh adfg cdef bcd bcefh dh abdh acdfg acde abd bd acdh cdh adfg bg aceg de dh adh abeh cdfg acf abeg befh cfh cdh deh ceg acdg befg abcdfh dh abcdfg beh defg abdg cefg acfh acdh cdefh ag acdg acfg cfg acdeh eh cgh cg dg fg ah bceh abdeh bgh g abef bcfg ach abch adg af fg cefg h abh ceh efg acdg g bfh ch eh adg cg abcdeg abfg ceh ah efg cf acf abce abcdefg ch beh bdg fg bcefg adefg h ah befg abcdg bceg adfg eh aeh abeh acdegh adefg be cdf h ceh befh abceg bcdefg adf bde eh abeh bdh cg abcg cfh cdh acdh abcdh cdefg abcdef de acdeh adh bdh bcdeh cdf acde abcde cfh acdh dfg g deg de bcdeh adh aeh beg acg acde cde bdeh abceh cdefg g adeg bde abefg bdh adh abcgh beg afg fg abcfh bceh bh abdf aceg bceg cdeh acdeh abfh bcdfg beg f dfh adfh h agh adeg ceg ce bce ch abch cgh dg abe be h ah abefh deg cf ce bch aeh cefh dg abcdeg be bcdfg abh h aefh acfg bce cdefg abch ch bcefg afg cef eg abcdfg bh ceh efh ceg bg abg ch aeh bcefg abdgh beg abcg ceh aceh acdh cfh abceg ace dfg bch adh bcefh abdefg cg aeg cfh adef acdh aceg abcdg g abdfg afh bch adh cdfg cg cdf abcdfg abdeh cdh dfh de adf bdfg abdh beh ach acg abdef bd cdh abcdh bceh aceg abdf abdeg abde bdh adh acdeh bcdfg dg bfg dfh bdeh bcdh aceg acdef bcdg efg abdh dh acefh eg dg acdeg cefg bdfh abh aceh ceg aceg aefg ef ch aeh fg cg abcef abfg h ah abceg ceg b aefg ch bch acefh abeg abf abe aefh h ah acfg cdg abce ef ch ach bch adg bf abc adefg h ah deg abef ef cdefg bch ch fh beg adg acg defg h ceh cdgh aceg ce bdfg bch ach cdeh adg acg bcdfg defg abcdh abceh abceg abg bg cdg adh ach bcdeh eg acg abcdf adef ceh bceh ceg ag abcd df bde dh adefh bdg adg def bdfh cdh bcdh g bg acdef bdh cdfh adh abdefg acdeg acdf adg cdh adeh bceh acdg df de befg cdeh adh cdfh adef adg cef dfh cdh abceh abg g bcdg defh dh abch cgh dg cg afg aceh bceh abceh gh g cf acf ch ach acdeh dg cef f aceh ceh bceh ag abcdg abce abef eh aeh bfh bcg be egh abceh h ah cdg cf acf bceg ach eh bcefg bcef af acdfg bh abh ah ag aef bef fh afh ach abcg bcg acg befh acfh abh bdeh abceg bef adfg bdfg eh abeh cdfh cg abcg bcdfg acfh bcdh abceh bceg acdef bdf cdef acdeh ach cdeh bcg bcde bcdf adfh abg abcdh g df bdf acfg bdh adh abcdfg adg cdf cde adeh cdh aceh df abdf de bdeg dh ach dg bdef def bfg cdh h abh acegh cdg cf acfg dh aeh bcdeg bcdf abcg bfg bdeh abcdh cdg acdg adeg bce cdfh adh eh abdg adg cef bf abceh ah abh ag bcf ef acdfh aeh ch fh af bf dfh aceh h acfh acdg abcf cf bch ach aeh aegh cef be af bceh ah cdg ag acf abce abceg ach fh beg bcef f bdfh acfh bh g acegh ag aceg fh cefh bch bdefh cg acdf cdf ceh cfh aceg g abceg df adf acdef cdeh bcg aeg cdf egh acdh h bdeh g df adf bcdef bdh cdeh bcg eg cdf acdf cdh h adfg acdg df adf bcdef adh dh acdfg bcdf acde cdeg acfh acdh bdfg cdg abde df cdfh dh adh abcdeg abdef adef dfh acef bh deg cdg bcdef cf adh bdh abcdfh abcdeg dg af acdefh h acdh bdeg acdg cf aef bef ach abch acefg ae af bf bceh h abefh bcdg cf acf bcf ch ach adg af bf cef abh h cfg abceg cf aef fh abch afg beg bf abf h ceh abh bceg abg g abcf ch ach bdh eg cg bcef cdf h bh abceg g ag bdf bcdef ach beg cg acg abcdf bdef abdef bceg g ag adf df bcdef eh bdh acdfg bcdf acdf adef abceh deh abdfh deg adf df acefh bdh abeh acdfg cg acdf bdef acdh adfh adfg ag df abdf fh ach abcdeh bdefg dg adef cef acdh adeh cdefg cdg acdg acf abef ach adefg dg bdg af abf f adeg bcdg acdg bg bef abef aeh abcdeg dg abcef acef bcef abh aceh acdg bcdg cf ef bef ach beh bdg cg f bcef h cdh ceh bcdg aef bcf bef ach beh cg af bf cg h ceh ag abcf ef bdf abef abch eh cg acg cdf abcdf ah ceh abg g ag bcf df bdf eh cg acg cdf bcdf abcdf bh abg bg abdf df acdef bch cdfh abcg cg acdf cdf abcdh ceh adfg cdg adf df acdef abeh fh cdfg def bcdf cfh bcdh abceh adfg abg bdf adf fh acdeh defg bdg adg acdf af bcdh acdefg adfg cdg cdef acdef cf abcf cdfg dg adg f abf bcef cdh bcdg bceg cf abdf acf ach aegh adg abdg f acef cef cdg cegh cfg ef acf cf abch beh fg bf af cef aceh ah acdg aceg ef aef abef ch acefg eg abcef af bcef h deh befg abef abcf abdf beh ch bcdef acg af cg acdf ceh abh ceg g ag acdef ch bch abegh cg bcg af cdf bcdf h abceg bg abce adf df ch defh abcg beg acdf cdf def bdfh bceg deg df bdf abcdef ach abcg bcg acdf abcdf bdef cdh ah adeg abcdef df bcf ach adh acdfg cdeg abdef def cef abcef dfh dfg cdg ade aef abcf bch bdefg adg dg acdf acef f cdh cdg abcdg ef abef ach dh dg adg aeg cef abcef h abcdh cdg abcdg ef cf aef bch acefh acg acef bcef cef h bh acdg ceg acf abcf cf ach acefh abcg abf acef abcef adef cfh abceg g aef afh bch abcdef fg acg cef abcef bcdf bdef abh bg g ade ach cdef acdef cefg cg acg acdf def abdef bg ceg g adf df bcdef abch abeg cg acg bcdf def ah abh ag g adf df acdef ach bdh bcg abcdf acdf bcdf h adfh bceg cdef bdf acf cdeh bdh abcdfh adg def bdef bcdh deh abf dfg cdg acdef aef abcf abch defg dg def abdef abcef bcef dfg cdg acdg bef aef acf ef abdefg dg bdef abcef af bf cdefg cdg abcdg abef bef acf cdeh abdg adg bcg af deh ah aceh g ceg aef ef bfh ach cefh cg acg f cef ah bceh bdeg abcf cf bcf adh eh bcg eg acg def cdf ah ceh ag abg fh acdef ch adf abd cg acg acfh abdef abh g abg ag abfh acdef ch cdef cg acg bcg cdf acdf bcdf abceh abg ag adf df abdf bcg eg acg acdf cdf dfh cdh adfh ag bcdef adf df bdf bdh defh abdg def acdf abdeh abcfh dfh abcdg bcdef bdf cdfh bcf bcdfh adefh dg acdf abcef bf bcdh abcdefh acdg cdg defh aef beh abcf adg bdg bcdeg f abdeh bf adfh cdg abceg cdeh ef acf abdefh adg dg cef af f cdh acdg abdeg aef bef bcf dh ach acg acdeg cg af f ah acdh abdeg ef bceg acf ach eh bcefh bcg eg af bceh ah aefh g ceg

Monoid Structure