Details Page for 0.3773

Complete Solution is Known:

MSV File: q-0.3773.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₇₆(0.3773):

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

Monoid Structure