Details Page for 0.4145

Complete Solution is Known:

MSV File: q-0.4145.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₃(0.4145):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a²=1, b³=b, b²c=c, c³=ac², c²d=ac², b²d²=d², cd²=acd, d³=ad², b²e=e, ce=c², de=c², e²=c², b²f=f, c²f=ac², cdf=ac², ef=cf, df²=cf², f³=af², b²g=g, cfg=aeg, c²g²=c², g³=g, b²h=h, ch=ah, dh=ah, eh=ah, fh=ah, g²h=h, h²=c², b²i=i, c²i=bgh, gi=bh, hi=bc²g, i³=i, b²j=j, c²j=bc², cfj=aej, dfj=aej, f²j=afj, hj=bh, cdij=abd²fi, j²=c², b²k=k, ck=bd²f, dk=ak, ek=abc², fk=abc², hk=bh, jk=c², k²=c², b²l=l, cl=abcdgj, dl=al, el=ac²g, fl=ac²g, g²l=l, hl=gh, il=bh, jl=bc²g, kl=bc²g, l²=c², b²m=m, c²m=bgh, cdm=acm, d²m=adm, em=abgh, cfm=bgh, gm=bh, hm=bc²g, i²m=m, cjm=abdfm, fjm=eij, km=adjm, lm=bh, m²=c², b²n=n, c²n=bgh, cdn=acm, d²n=adm, cf²n=cf²i, gn=bh, hn=bc²g, i²n=n, djn=ajm, ejn=eij, kn=adjm, ln=bh, mn=aein, cn²=cf²i², dn²=cf²i², en²=cf²i², jn²=afijn, n³=f²in², b²o=o, c²o=bc², cdo=bc², eo=co, cfo=aco, dfo=aco, f²o=afo, ho=bh, d²ijo=dfm, ko=d²jo, lo=bc²g, mo=acio, no=afio, o²=c², b²p=p, c²p=abc²g, cdp=acp, d²p=adp, ep=bc²g, cfp=abc²g, f²p=egj, g²p=p, hp=abgh, ip=ah, cjp=abdfp, djp=ajp, fjp=c²g, lp=bgkp, mp=ah, np=ah, op=cgjo, p²=c²>

P = {a, b², abc, c², ab²d, bcd, d², ae, cf, f², acf², acg, cdg, afg, dfg, ad²fg, g², abcg², adg², bcdg², d²g², aeg², f²g², bci, abcdi, bfi, abdfi, bd²fi, i², abci², adi², bcdi², d²i², aei², cfi², f²i², acf²i², abj, bfj, bgj, abdgj, bd²gj, abegj, abfgj, aij, cij, dij, ad²ij, fij, abi²j, bfi²j, bk, bg²k, bi²k, gl, bim, abcim, abdim, bin, abcin, abdin, aein, fin, abijn, bfijn, n², f²n², abo, bfo, bgo, abcgo, abdgo, bd²go, abfgo, abi²o, bfi²o, ajo, fjo, gjo, acgjo, adgjo, d²gjo, afgjo, ai²jo, fi²jo, abp, bdp, bfp, cgp, agkp}

Phi = 1 1 a a bh bh abh b b c d h ah abh bh bh e f g ah h h i j k c²g l ac²g m n abgh bc² o p

Monoid Structure