Details Page for 0.6064

Complete Solution is Known:

MSV File: q-0.6064.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₂₄₅(0.6064):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a²=1, b³=b, c²=b², bd=abc, d³=d, b²e=e, de=ace, e²=b², bf=abc, df=b², ef=ace, f²=b², b²g=g, dg=acg, fg=acg, g²=b², b²h=h, dh=ach, fh=ach, h²=b², b²i=i, di=aci, fi=aci, i²=b², b²j=j, dj=acj, fj=acj, j²=b², b²k=k, dk=ack, fk=ack, k²=b², b²l=l, dl=acl, fl=acl, l²=b², b²m=m, dm=acm, fm=acm, m²=b²>

P = {a, b², d, ad², af}

Phi = 1 1 a bc abc b ab c d ab² abc bc e ab acd² b²c ae b abc bc cd abce b²c f b ab bc e cf ae abc be b e g ab² ce abce ag ab b b²c ae abcg bc abc bce g b²c ab²c b ag abg g cg ae eg ab b abcg abc ae ab² bg ag ab b ab²c abe bceg ae aeg abc b abe b²c ab²c bceg aeg eg abce ab² h b²c cg eg abc bc acg e beg h b be b²c abce ab² abceg abc bce h acg ah abceg bh ae bc aceg ah ceg abeg eh abh aeg ae ch b²c h b ah eh abh ch ceh abc ah eh abe bg aeg aceh bc abh beh acg ah b²c bcgh cg abg bh ch abgh ab²c bcgh ab abceh abc eg ab² ab²c e acgh b bg abcgh abcg aceh ae cg beh be abe acg bceg abceg g b abch h abceh ce egh bc e ach abceh b²c ce acg agh bc aceg ach bceg bce abce ah b cegh ab² ae g abgh acgh bceh acg i abcgh abceg bce acgh egh ah i beg be aeh bce beh aceh acgh b i bg ai bi bcg g eg abgh abch bceh i ach ch bce g bi aegh i b bg bcei beh bi abgh ci abei abcegh i ai bh bcei ch ah aeh abch bceh gi i g ceh abeg abcg cei egh ce be abg ach beh bceh egh ace b²c i bcgi eg cgi aci g abcegh abcei bg ei gi eg ae bcg bei cei abceh bci agh bceg begh abi ae ab cgi ab²c abg abcgh ae aci cgi hi bi abceh abceg abg abh ch abegi ae agi abceg ab²c ai bcei ab² aceh aegh abi bei aeh bceh acg hi ch e acgh bc b²c abchi abei bci bh abh cgh gi bcegi aeh abe abg cegh bceg e bi abei bcgh b²c bchi acegh ai gi abh bi begi bg abceh aegi bcegi gi abeh begi abchi cegi aeh chi ei ab² abchi aeg bchi bi abi aeh cegh acg bcei bcgh ae abei hi bceg ab abhi bcgh abceg abehi ch ehi aeh aehi abe abci abcei ae bh abeh bi abcgi b abg abci bhi cgh bc abi bei b²c ab²c abcg cehi egh abce bgh bei abg ce cg egi abcgi abcg abchi abi aci ehi cgi abg bgh cehi abeh beghi cei ehi h bcghi aegi aei bhi abce acegi begi bgi aeh abceh aei ch bcg aceh abei abg bcghi aeh j bcei ae abeh bei bgh gh ce eh bcegh abegh ei beh eg ab²c begi abg ai ei abhi acehi ch cgi bg abg abcegi ei bhi ae acehi abceg abei acg ahi beghi j bcei e abh ch abceh eh bcgh j ghi agi beh aeg bj bi bceg ab²c abcegi bci abeghi aeghi abj abgi aeh abceh bh abcei agh bcej j bj bi abj achi bcj abcj bcej aej cei hi abchi abj bcj cg agi beh ej acgi bj aeh aeghi bg aei abcei abeghi abcej bghi abchi cej aegh bcj abcgi abce abj agj eg begi abchi aej ai gi abghi ag abj bcej abegh ab²c ce ab ej cghi ae abceg aghi gj cg abghi bcei ceh ch beh bceghi agh be abg ej ei cgj acj aeg cg bcgh aegj bcegj bcej abeh abj cegj abgi bcgj abceh bceh j chi bcgi ej ach abegi acgi acg abej bhi bcgi acgh abceg acj abchj bgi bg egh bchj abeghi ach ehi bei cei ce bcj bcegj egh begj hj acgh ehi abceh agj bcegi beghi abce aceh acgh bgh abcehj ah bgi abeg behi bcegj bceg ej bei abcghi bceghi bcegh bcei j abce aeg abceh bg ehj abj ah gi acgh bci abcghi cj bei j aceg acej bcgj gi acj abei abchi abegj aghj begi abehi abci ehj abcghj aeg bc cgj abcegh acej bcei b abegj bchj abj begi ehj cgj behj bcgi abceh bcehj hj begj abegj chj aegh bcgi abcgj abj bcghi cgi ehj aij abcgi abg bcei ceghi eg aci eghi ahj acej ej gi bcej acehj abceg eghj ehi abcghj acej j acgh ghj ej cghj acgj aeghi eh egh bci abcgi abhi aeg bceghj ehi abeghj cghj ab²c ceghj behj eij abj bcij ehj abgj bcegh acg cij acgh bij abchj bei aci abeij abcegh cghi aeij ceij bceg aci abce bc abcj bcej bcei aegi egi abchi j ahi abcij eij abcgj acij acehi abcehi bceg aci acj bcehj bcegh bcg i aeghj aceij abcij bg hj j bcj ei ch agij abei abceij acej b eij bcej abcei bgh agij cegj eij cegi e ceg bci abci abceh acej cgj bcij bej abcegj aegj bcegi beghi bcgj abegj aci bgj abgh abchi agj aeh aceij abg abi bgi begi eij behi bhi abci cghj bej abei hi abegij bcej j ai beghi ch aghj abcehi cei aj egh acehi h ceghi ceij aegij ahij abcghj abcegj abceh agi abehj bg bchj abceghi abegi abcij ahij e beghi abegij aeghj eg bcghi h agh ceghj abcgj cghj ae bgij achj aghj aeh agij ej i bcegi bcghij abei cehj bgi bcij beghj abehi chi j cgh abcg begi abcehi begj abehj gi abegh cij cegj bij aghi ij bgj bcgi acegij bgh cegj cgi begi bchj abceij abcghi ai i abceg abeij ab agij ghj j bcgh beghi cehi abcehij abcghj bceghij b²c agij acehj ej chi abceh bceh aeg ci bcehi k abch agi egij ceghi cij bchi aghj abg abghij cghj bcgij aceij j abj aehi aghj bgh abgh k ai abcgj cgj abcghi cegi eij ghi abceij ei abeghi abehj abcghij bcehi abcgh agij aceghj abceh abe abegh abegij bh aeh hi abij achij ab²c ach ehij k bcghij abei aghi ak ch bcei ck bceg ghj bchi cgi aeij bcej abcgi abcegi agj bceghj ek acegi cei e bc i abeghi abegij cgh ak cegi k j abehj cg abcgi abk aghj ahj bj k ij acehj abcghij bk ck abei acegi cei k agj bci cegh bg abchj acgh abek acehij ek abehj beghi gj bk bcek acei acehij eg cghj ei abeghi ghij aghj ehj ch bgi abcgij gk i eh bghi bchi abgh abcgk aegh abcgi beghi aegi bcej bchij acgh bi acgi ceghj ceh bcek acghi cg j acek ci k aceghj bc bck bghi egh bcej ehj k bchi beghj abcek aceghi bchij abceghij bcgk bi abce cghij abcgj bhj agi ehij abk bchi egh ghi bgh abgk ce bek j abcghj aceg bcehi bceg bceghij bci aei beghi abgij aghi abchi abck gj abh abe acegij cegj bcehj abcek abgi abcij bcgj aegj bgk ceghj bchij cei cegj bhij beghj ach ei bceh beghi cgh bchj aci ch abehi k i agi ack bceghij achij abegi k bgk beghi gi cghi ehj abgh bi bcghi abhij bh ij ceghi abegij bcghj abj bchi bcej bg ij abci abcgi ck abeij k agk bck bcgj beghi cehi abgh egk aeghj aci ij abcij aij acek bcehij aceghj abek abcgk begi acgi ek bgk begk acej egh bgi ci acehj bchi ek abeg beghj acghi cegij acek bcghi behj abehj abcgi ai cegk ah abeg cegi ak abcgij bcek acej abcgi begij beij bek abgi bck abcgh cghj beghj aegi gk cek aegk cegk abck aij cehj i egh aeghij bchj eghi hi abc abcij cehi b²c bcek ahij aehk abcgk abehij aeij bck ck abck bceh abcghij ghi bcehi ae abegh cgk acghi eghij hk bcghi aegk acehij abh bh egi beghj aeh aceghi aehk bchk bce ch behk abehi cej bcghij abi abek bcgk cek aegk aegj abehi bchij abcgi beg bcghi cei bgh aegi ack abcegk egh bk ghi cegi cehk egk bchk i bghj ehk aehij abcghj abegj egij achk bceh ahk abchk abcegh acegij ej agk bceg aeij acgh cehi abchij bcgk bek cegj abeghij aegk bik abeghi ahij ck 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begk ak acei aj eij cegj aceghi behj abceik abij acei hi abgh acgh abcij bchij aceg ehi ehk bcegij beh gij beik cehk b acek agi bceik abehi e abehik hik aceg cghk cegij gik bceghj bcegij behij ahij cghj achi bhik bchk abei abehij eik acghj bik acik acgij abceh bcegh abehk abei j gij hi abegij bceh abg acehik begik abgh aeghi abcgk bcek bcghk hj aeh bgk bceghik abcj aceghk gi cegj ghk bchj abceh ahk bhik eg abek begik cg bgk ab²c cehik bjk ajk abgh egk acegj ceghk ce ab²c abcegik j abghik cik ae acik abg bcgh cehj abcghj cehk aeghik abgh aehik aceghi abg abcgj bcgk aeghj aceghj abh k begik aehk agh b aeik abchi cghj aeghik aceh abgk aehij cgk acgij behik ceghij eg behi achk abegik acgik egi cehik abcg beh ag gi beij aeghij cij cei bcgik bcgij acgh bjk cik abcjk abcegh hk bceghk chik abceij bcghik abegik abeik abegk abgij bci gik eg abh chk bgj jk ahij ahk behj agik abceij abcegij ceghij ajk ehk acegij ghij bcej agk cghij bcghik bcek abgik acej acehi abcj ik beghi abcehi abcgi bchik cejk abeij eik b²c bci acgi bcegk abghk aehk ajk bejk b²c acehik cegi begi abcj abeghk aeghik acegk ehij bjk behj abehk abehij ghi bik bcjk ceghik ajk abchi bhik cehk g ghik hik aejk acg ab²c cegk cehk egjk agk abck abgk abgik aghk behj ej aej bcg eg abegj bij aeh agh acegk beghk acghk abi ae abchik hij b²c ab²c abegk bhik ehk bcegk aceik abeghik cegij cg egh acg bgi acgh bchj cghk ceij bcjk abcjk bhj cghj behik beghk beh cegik ce acgij bcek abceik achj jk aehk hj eg abgij ah bcgik bjk bcij abcgj abgik abgjk ehk acejk hk aek abejk abcghk ghi ceh ehjk aeghij acegjk bceik ahjk acghik egij agij ceik bcehik acgjk aegh acegk acehik cgjk abgh abegh j ghj jk behi aik abcjk gjk g eg abcehik aegh behj ij abcghjk aegjk bcgk acj acgh abchjk ghij b bgk abcejk ehjk ab² begjk bejk abg abehj abehik abcegj bhjk bhij abegh bcehi aghj bcgh abcehij cek j acegi abj abcghjk bcghi aehik abk ck achj abehik bcgij aceh abceg bhjk bcgj bcegh gjk achj ehjk eij bchjk abg abcehjk beij abceik gj abcik bceg achk beh abei abcghj bceghik begk acghj e bhij bek ahik b ehjk abceghij aghk acegk egi bck bcij bceg gk abcehik ehij agj agij aceghk abghij begjk ghk beik abcgi achj bcej aceghi bcegj ach abei eghij abeghj acehj gi j abgjk beghk chjk ceik cej ghij abegij abcegj aik acgh abek ceik bejk aegh acg chik ceghj abcijk bcegjk abcjk bjk abchjk acg cejk ceghi abchi beghi beijk bchik abcehjk eijk begjk aghij achik bghjk abceghjk cek abce aceik abegk bceghk begk acgk abceij aehk abh cei abej bgijk agi aj acgh abijk bcghi bchjk ch aijk bhjk bcik gj abceik bceg ceh abchijk aegijk aehj aceg abcghij aceghik acijk ab² abchijk acgj begik abehk egik eik cehi g cegj hj achj beij abg aegh abcgj cghk ehj bh bcgk abceghjk be gi aceg bcei abeghk ceh abcghjk bceghj bceijk bcegijk ak bcghk bcejk ehi bej bh aeij abchjk cij abehj abcj abcik abcghi bceg ajk eghjk bceghij bcegijk abehk acijk ahjk bcehk ghj abej cgij aek abegij behi abcj ae abghijk cgik acegik begjk abghjk acehj acegijk aci acgh bejk bej cegjk abeijk egi abcj bcegij ik cegi bchik acgi bcijk egh ei behik bcgi bh hk egk bcghik abchk ceghj abci aegj ei abh ehik cgi abcgk abcgjk cghjk cjk chij ae abeghij abcejk abegj bceghjk abck bchijk abcegj ceijk abcehijk begi acgj acej abceghik ah ab²c aeik cehij bceg egij aceik abcehij aeh bhk bcghijk abcegjk eg ab² bchj k ceghijk ah acehik abcgjk abcehjk abejk cik aijk abghjk bhjk begk abcj bhj abcghijk aceghij abcghj ceik abegjk l bcghk cgk abcghk ehj abcghik aghj ghj behijk achijk abcj abcgj beghk cej abcgij bceijk aegijk l aeghij ai aceghj jk cegijk aeghjk cegj abeij chijk l cghj bci egjk ceijk bei abghk eghik l beij abceik g achij abceghik bceghi abceh acehj bcgj j beghk bcehijk abchi abj acei cehijk abghjk cehi bhi ch bceg acej ahik egijk bcgk ab²c abg behi abek aceghijk abegk cejk bcijk l aegj ak ei egij abchijk cegj abehk bcehij acg abghi bcgj abcgik bcejk acegj abegj l abgh al bcik abcegij acehi eg bcghi bcl ijk bcegh bcgjk bcik abghj bcegik acegh acgi ghi ijk behk ace l bl abegh bceghjk bi acgik l acehjk bci bcgjk agk cgi acgik acik ael l bceijk abcik aceghjk bl bgi ahik bcghik hj gijk bhik abg abcgjk cehi abei abceghj achijk eghij agi abghjk abcl ack cgijk abgi abegij ab²c acegijk abehj beghi el bl hjk abegk abcgk bcl l bcej aghk cegk abeh abchj bchj acgik l gik bci abijk abchijk agij acegi ehi acegik chk ceghijk abcgj aehjk abl aghi abchik abcl abehk egh beghi bcegik abel aehjk abceghj aceik ahj bcegjk ik bghjk eghjk bgh cej bchi bceghi bcijk cehjk achi acel abl abel ahj cegj abcl beghk bcej beghj bcl hjk abl abgh agl l abij bcgl beghj acegijk bchjk bi abcghi abegik achk abcgi abceghk bcgi ahij ch bel cegi bchj bcl egh behj abeijk aehjk bcghi ehi begi el acel abceik i hk acl bchj abei abceghik l behi j abehj bgijk cek acej bcgl aeghik abcgijk gl abcegj cel ack aeghk abchik ael abceh acg bcegi ei bcehijk begk aehi aghi ael l bcehij bcej acehi abcehjk acegh acegi bcegl cegj abceik ceghi bhj acek bek aghi abgj abcghik agik behi ab²c j cl abegk acej agl ij aceghi achi aceghjk j acghik ae bchj achk cgij ael cehi begl eghk bghik abchi aij gl ak acehi bci behik abcgijk cegij begi aehik abcl aegh agl cghi acl behij abchi ahik aeghj bcijk abehj abghjk begl abcehk cek acl ehj acei ehik egj bcegi acghj acel abel cgi aghi agk abcl bhik acghik abegl ejk beghij acej agijk aghj abhjk achi abgik cgl cegk bchi hj bck abehk abck acghk bk bel acei l bj bck bghj beghi abcegj ceghi aceghjk begi beh acej bcl bghk j cghj ghijk acel bchj ach abgh el l cik aegj abij bel bej gl abcik abcel cegl bci abel cgj hl aghj ceghk bgjk achijk cehj bek acghij cehij bel bgj acel aegij gj abhik ehk acgk cegl hi acgj abcegijk acehj aegj bij abgl abl bel al bcgij aghjk bcel abcegj bceik begl acegij begi aghj abhk l agi hl bcehk g abcghl abgi eijk bcijk bceijk bcej ai cghjk ahk l bchj abcghj abhijk achl ai acijk bgl abel bej cgi abcij acehi aej bhl ceghjk bk bgj ehi ehjk acehk abceijk abcj agj bel aegjk aeghi begl abghij bcgk cehi j abcehijk acek bl cegj bcegl cghk cegl ceghj abhik abcehl cgl eghijk bgj bcghik k ghij bcej cgl abegijk bcghk begi bj ghik achij abcgik bcgik aceghj bel hjk aeil bceg bceijk aehij acehi behi begk bchij ehj bchk bchi al gl bcegj abcghijk aghk hl bgi aegijk beghijk abceh ghij ceghi bcehijk bjk ghj bchj abehijk acg chjk ej gl cegl cgk abegj bcgjk acehij al bgijk ei begijk cegk abchl abcghi abcij bgh bhij bcei abceh bcghijk cgij egjk begik eijk abehl beghl aceghj aceijk cijk abcghik acei abcehi cehij abhij abeghi l ahij agjk abcl bck aghjk bceij ehjk bghj ahl aik aeghijk aeghi cehl cghk l bck abcj acel acg abeij abchi bcgl ael agl abcehl bcgi cegl bcghk cel behk bcl abcegij bceghl egl abg acegl aghl abej bcgl abegik aci ael gi abcej bel aceghik abegl cil al l acegjk bcj aeghij aghk bceghj abl g aejk bil beghi abghj acghi ack bcil acehl bcegij ceghij abcl abcegh ceghi ab abl bchj aceghij abcgk abcegik acghij bejk aceg abchl abcehj ahj abgh bghk bghi abhj abeghjk ghk ghl bhijk bhij bchjk abcegk bcghl egjk acel abl acegl cegi aeil ceghijk eghjk abcghjk 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Monoid Structure