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 Q₃₀₉(0.0164):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | 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>

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

Monoid Structure