Details Page for 0.0164

Complete Solution is Known:

MSV File: q-0.0164.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₉₃₇(0.0164):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b⁴=b², b³c=bc, b²c²=c², c⁴=ac³, b³d=bd, cd=ab²d, bd²=abc³, d³=d, be=bd, ce=ab²d, d²e=e, e²=ac³, b²f=f, c²f=abc³, df=bd, ef=bd, f²=ac³, b²cg=cg, c²g=c³, bdg=abd, eg=ab²d, g²=ac³, b²h=h, ch=ac³, dh=ab²d, eh=ab²d, gh=bcfg, fh²=afh, h³=ah², bi=bd, c²i=b²d, di=ac³, ei=ac³, fi=bd, gi=ab²d, hi=ab²d, i²=ac³, bj=bd, c²j=b²d, dj=ac³, ej=ac³, fj=bd, gj=ab²d, hj=ab²d, j²=ac³, b²k=k, ck=acfg, dk=bd, ek=bd, fk=ac³, gk=acfg, hk=bc³, ik=bd, jk=bd, k²=ac³, b²l=bc³, cl=abc³, dl=abd, el=abd, fl=c³, hl=abc³, il=abd, jl=abd, kl=c³, l²=ac³, b³m=bm, cm=ac³, bdm=abd, em=dg, fm=bc³, gm=ac³, h²m=ahm, im=ab²d, jm=ab²d, km=bc³, lm=abc³, m²=ac³, b³n=bn, cn=bcfg, dn=dg, en=ab²d, fn=bc³, gn=ac³, hn=hm, in=ab²d, jn=ab²d, kn=bc³, ln=abc³, mn=ac³, n²=ac³, bo=bn, c²o=c³, do=ab²d, eo=ab²d, fo=bc³, go=ac³, ho=hm, cijo=bgl, ko=bc³, lo=abc³, mo=ac³, no=ac³, o²=ac³, b²p=p, cp=fg, dp=bd, ep=bd, gp=bc³, h²p=ahp, ip=bd, jp=bd, kp=ac³, lp=c³, np=mp, op=mp, p²=ac³, b²q=q, cq=bcfg, dq=ab²d, eq=ab²d, fq=bc³, gq=ac³, hq=ac³, iq=ab²d, jq=ab²d, kq=bc³, lq=abc³, mq=ac³, nq=ac³, oq=ac³, pq=bc³, q²=ac³, b²r=r, cr=ar, d²r=r, er=dr, fr=br, gr=ar, hr=ar, ir=dr, jr=dr, kr=br, lr=abr, mr=ar, nr=ar, or=ar, pr=br, qr=ar, r²=ac³, b²s=s, cs=as, d²s=s, es=ds, fs=bs, gs=as, hs=as, is=ds, js=ds, ks=bs, ls=abs, ms=as, ns=as, os=as, ps=bs, qs=as, s²=ac³, b²t=t, ct=at, d²t=t, et=dt, ft=bt, gt=at, ht=at, it=dt, jt=dt, kt=bt, lt=abt, mt=at, nt=at, ot=at, pt=bt, qt=at, t²=ac³, b²u=u, cu=au, d²u=u, eu=du, fu=bu, gu=au, hu=au, iu=du, ju=du, ku=bu, lu=abu, mu=au, nu=au, ou=au, pu=bu, qu=au, u²=ac³>

P = {a, b², ac, ab²c, c², ac³, ad, ad², ade, bf, abcf, bg, b³g, bcg, fg, ah, abfh, h², ij, acij, bk, l, agl, abm, hm, ab²n, ao, cio, aijo, abp, bhp, fhp, abmp, aq}

Phi = 1 1 a 1 a bd bd bd abd abd b b a c c d e abd bd bd bd f g ah² h i b²d j dg abd k abc³ abc³ l m n o b²d ab²d abd abd acfg p abc³ c³ q acio b²d b²d abd abd r abc³ bd afg ar bdr b²d b²d b²d ab²d ab²d abc³ abc³ abc³ bc³ bc³ abdr r ab²d ab²d ab²d ar br bc³ abc³ abc³ abd dr ab²d b²d b²d c³ c³ c³ abc³ abc³ abd abd abd b²d b²d b²d c³ c³ abc³ abc³ abc³ abd abd bd bd b²d c³ c³ r abdr abc³ abdr bd abd br b²d s r c³ c³ c³ bdr bd bd bd r r s c³ ab²d as adr adr abd bds bd bd r c³ c³ c³ b²d b²d b²d bds abd abc³ bd br s c³ c³ c³ bdr abdr bds abd abd abc³ abc³ abc³ c³ c³ c³ b²d b²d bds abd abd as abc³ s s dr dr b²d ab²d ab²d br abc³ abc³ bc³ bc³ dr dr r c³ ar ar br abr abc³ abc³ adr dr ab²d b²d ab²d ar s bds bs bc³ abd abd abd ds ab²d ab²d c³ c³ abc³ abc³ bc³ abd abd abd r r c³ c³ c³ bs abs abc³ abc³ abc³ bd as r r b²d s abs abdr bd bd bd ds ads r r s bs bdrs bds bdr abdr ds rs r c³ r bs abs abs abdr bds abr abds ads s s r r bdrs bdr abdr bds abds bc³ abc³ abc³ s adr ab²d b²d b²d b²d bds ars bd abc³ abc³ ar ar bdrs b²d b²d b²d bds bds abc³ br as s s dr dr ads bds bds br br abr drs dr dr ab²d ab²d bds abds t br abr at abd abdrs ds ds dr ab²d ab²d br abc³ abc³ bc³ abdr s s ads ads c³ ar abs bs bs abdr abdr drs ads ar ab²d r r r c³ c³ bd bdr bdr ds ds r r r bs abdrs bdr bdr abdr abdr rs r r c³ ar abs abs abdr bdr t ds ads ar rs bdt s bdt abdr abdr bd t br ads s bdt as dr dr abs abds abds abdr br r rs bdt ar dr drs bdrs at abr br br br ars ars dr dr abdr abdr brs br br br abr abr dr dr adr adr abds abds bds abr abr ars drs as s adr bdt dr abrs abr br bc³ dt dt s dr dr ads ar ar ar abr bc³ abdr abdr dr dr adr adr abrs r r abdrs abdr abdr bdr drs drs bt bdt r brs brs abrs bdr bdr t drs bt r r bdt brs brs abs abdr abdr drs drs rt ar ar ar bdt abdrs abdr bds t t ds ds s r r bs abdt abdrs abds abdr t t rs rs ar ar abrs dr dr dr bdr t br br ar ar bdt dr dr bdrs bdrt abdr br abr abr abr abdt dr dr dr abt at at abr abr s s s adr c³ adr abdrs t abr abr ars br bdt bdt dr adr abdrs bds bds br abd dt dt adt dr ads abt bt bt brs abr abdrt dt dt drs ads adr bt bt bt brs abrs bdt bdr dt adt s dr r r r ar br br dt abdr abdr ds t abt abt bdt bdt abrt abs abdr adt adrs bdr at adrt r r bs bdrs bdrs bdr bdr t ds ars r ar brs bdt bs rt bdrs at t t s ar ar abdt bdt abdrs abdr bdr at t at s ds r bdt abdt brt adr abt abdr t abr abr ar ab²d bdt bdt adr dr at bs abr abr s abdst bdst bdt adr abrt bs bds br abrs abrs dt abdst bdt bdt bdt abt st bt brs t abr bdst ads adr adr bt bt abc³ bs abr br dt ab²d ab²d drs dr drs abt abt brs ar br adt adt drs b²d dr bt bt abs bdt r abrs dt dt bdr bdr s bst drt ar bds bds abds abds abdr s ds bst as abt brs abds abds abds adt drs drs at s rs ars bdrt abdt bds bds rt ast adrs s s ads bdt abdrt bds bds bdrs bdrs at at c³ as ar bdst abrt abdt bdrs abc³ bs t t t br rs adt abrt abdrs abds bs bc³ bs t br abr ads ads bdt bdt bdrs bdrs rt st adst as as ds ds ds bt dr bs bs abrs arst ars ars s bdst abrt abt abt bs ar ar adrt dst ads ds adrs abrt abt bt abc³ abds brs abrs dt b²d b²d bdr brt abrt abs abc³ r bdt abds adt dt adt c³ as as bt abt brs brs brs rt adt rt s s bdrt abt bdt bds bds bds rt t s at bst bdrt abdt abdt bds bds adst rt rt s s br abdst abdst brt bds bds adst st drt at s rs abdst bdrt bdst bds bds abdr bs bs drst s ar ds ds abd abd bdrs art art rt st as as ar ds abrt brt dr dr bs st drt drt bdst ads ads abrt bt bs bc³ bs drt drt drt ds ds ads brt brt u bs bs bds dst drt ds ds ads abrt abrt abs bc³ st drt adrt u abrst ads as as as abdu abs bs dst u rt drs b²d as s s bdrt bdrt bds bds bds art art rst s s abdrt bdrt r bds bds bds rt rt at s s bdrt bdrt u bds bds rt t arst as s s abdrt bdt abdrt bds bds rt rt art ast s c³ bdrt abdrt abdst bds bds ast art at s s ars drs bdrt abrt brt bds abs abs abs drt s s ads ads brt brt abds abds bs bs drt drt ads ds ds brt abdr arst bs bs drt ar drt ds ds ds brt abrst bs bs bs drt r abdrst ds ds ads bst bst bst bs bs adrt dst bdst u ads abdst brt abdt abdrt abs bs drt drt rt ds ads abdst abdr bdu bs bs drst bds bds rt rst brst s s s bdrt bdrt bds bds bds rt rt rt s s abdrt bdrt br bds bds abds rt dr abst s s bdrt bdrt au bds abds abds art bdu as s s bdrt bdrt u bds bds rt rt bdu adrt s s abdrst abdrt bds bds bds dst dt dr drt s ads ads br brt brt brt abs abs at drt as as ds ds brt abrt abdu bs bs drt drt adrs ds ds ads brst brt bdu bs bs r adrt au ds ds ds abdt bdr abs abs bs drt drt drt ds ds ds brt abrt abs bs bs drt u u ars ds abrst brt bdu bdrt abs bs adrst u rt aru ds s abdr abdr abdrt abdrt bds rst u rt brst s as as bdrt bdrt bu bds bds abds rt art bdu as s bdrt abdrst u abds bds bds rt rt bdu as s abdrt bdrt u abds bds st arst ar ru as as bdrt bdrt au bdru abds abds rst dr as s s ds u u abrt du abs abdu adu bru s ads bst abst abrt abrt bdu bs bs du aru bdrst au bst ds su abdru abdru bs abs adrt adrt adrt bst ds ds abrst rst brs adt abs at abu u ads ds brt brt brt bdt abru adrt adrt adrt drs bu ds bdst brt abdu du bs bds bds bds bu ads ads ads s abru aru bs bds bds at at abdu as as abrst abdt bru abs abs st rt abdru dru s rs bdst abdrt abru su st at st arst bdsu abrst abdst bdst abdrt abdrst bu st st rst bdsu art abdu bdst s abdrst bdrt u abds bds rt rt bdu aru bst bdrt abst abst su brt ast abs rt absu aru ru ru bdrt bdrsu bdru bds bdrs abrs dst adrt ru drt ds ds bst bdru du adu dst adt adrt drt bdsu ds as abrt abrst adu dt dst adst drt drt dru bst bst abdst abdt dsu adst bs adt ru bsu bsu bt bt brst dsu dsu adsu bs adrt drt t abu drs s bdst bdst bdst bru ast ast st st abdru bdsu dru bdt bdst adsu bru abru at at ast bdru dru dru bdst bdst abru asu bru t st bdru abdru du bdst as bdst drs bru abdrs ast ast art arst bdsu bdst bdst bdst bdt su at t bdru dst du arsu bdst s abdrst abru asu ast ast rt adrst drst bdsu bdsu aru bdrt s bst asu bdru dst dst dst adst aru aru bst abt abst abdru abdru adsu abrs dt adst ru bsu bst bst as bdru bdsu adst dt dst abru bsu abt bst adrs adru abdrsu adsu dst dt dt aru bsu bt rs as bdru adsu dt dst bru adrt absu absu absu dru atu bdst bdst bdst dst dst st at bsu bdsu brt brt bdt bdt abru ru bds bs bs ast adru bdsu abdst ds ds bru asu asu ast t dru abdsu bdsu abdt bdt bdt ru abru su at at st bdru adu bdt rs abru abu abu t st st bdru abrs abdsu bdt abdt adrs adrs su ast ast ast abdru adt abdsu bdsu bdst bst abst abdtu su tu dt adt adt bdsu ru aru as bt bst asu adsu adst dst bds ru aru aru drs bt abdrsu adsu dsu dst dt adst aru bsu bst bst bt abdru su asu dsu dst adst bru bsu abt bt bt adrsu bdru adsu dt bds abdrs abdrs absu bt abt dru rs tu u brs dst dst st abdtu bt bst abst ars abdst dt bru adst abdrs t st dru abdsu tu bdt bdt aru bru bru drt ast adru bdru tu bdst ds drs ru adsu asu bdrs bs bdru btu abdsu abdt abdt bdst aru arsu ast t st dru btu tu bdt abdt arsu abdtu abdtu t t abdru adru adru bdsu bdt ads adrs abst abdtu t st c³ abrs dst absu s s drs abst dtu bdru abdru tu adt dst brsu bru abrt abt abt bst abdr abds dst brs dst drtu bdsu brst bt ars adru bdru tu rt dt adst ru bdsu dtu bt rs dru btu abds dt dt rst bdtu bdtu bt abt rs rs tu adt dt adst bru bdtu bdsu bst bt bdst abdrst abdst adt dt dst st ast bdrsu bdru abst bdst ars bdst su abru abdrtu t at bdru abdrst abdrst ars abdt bdst rsu rt bs t st ast bdrsu bdt bdst rs ads arsu bdstu at ast brs bdru abdrst bdt bdt abdt abdst dtu bdstu t st adrst abtu abdrt bdt bdt abdt abdtu abdtu at t st abs abu stu abdt bdt abdrtu drs bst artu bdr adrt dst adt bu abrt abrt abrt bt bt du adrsu bdru bds brs abrsu brt ds bst abt du adru drt drt abds abds abu aru bdsu abt abt as adrsu drst dt dt arst abru brt abt bt adrs artu adru adt adt dt bru bdrs dtu ab²d abt abdrt adru adru au dt dt arst bdrs ast bdrsu abdrt bdrt abdrt abtu bstu u rt bds bdu rtu abt bdrt bdrt bdst ars abdrtu rt rt rt ast abdu bdru bdrt abdrt bdt ads ads art rt bds st bs adrst abdrt bdrt bdst ads adrtu art at t abdru abs astu absu bdt abrsu abdtu ru abdstu t t drt adr astu bu bsu abdst bdst dstu du du t abs drst dst bu abrt abrt abrt adsu du rstu drt drt drt abrs bru adstu brt as adu rtu bdru adrt abs dst brs drtu brt brt ds adu du drt drt bs bru drtu bdrtu brt abt ds adu as drt adt adt bu bds arst abrt brt bdrt bdrt s adrt dt adt art bdr abru dstu bdu bt bdrt as u au rt rt bds abdu abdu abdu abt as btu stu u adt art art abdu bdu rtu dr bdrt bdst

Monoid Structure