Details Page for 0.0145

Complete Solution is Known:

MSV File: q-0.0145.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₀(0.0145):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b⁴=b², b³c=bc, b²c²=c², c⁴=ac³, b³d=bd, c³d=ac³, bd²=b³, cd²=c, d³=d, b³e=be, bce=abe, c²e=b²e, bde=abe, be²=abc³, e³=e, bf=be, cf=ce, df=de, e²f=f, f²=d²e², c³g=ac³, beg=abe, fg=d²eg, g²=ac³, b³h=bh, c²h=c³, d²h=h, beh=abe, fh=eh, dh²=ah², h³=ah², b²i=i, c²i=abc³, d²i=i, ei=be, fi=be, cdgi=acgi, cghi=acgi, i²=ac³, b²j=j, cj=ci, d²j=j, ej=be, fj=be, hj=hi, ij=ac³, j²=ac³, b²k=k, c²k=abc³, cdk=ack, d²k=k, ek=be, fk=be, gk=adgi, chk=ack, ik=ac³, jk=ac³, k²=ac³, b²l=l, c²l=abc³, d²l=l, el=be, fl=be, hl=hk, il=ac³, jl=ac³, kl=ac³, l²=ac³, b²m=m, cm=bc², d²m=m, em=abe, fm=abe, hm=abc³, im=c³, jm=c³, km=c³, lm=c³, m²=ac³, bn²=b, c²n²=c², gn²=g, in²=i, jn²=j, kn²=k, ln²=l, mn²=m, n³=n, b²co=co, c²o=c³, b²do=do, d²o=b²o, beo=abe, ceo=b²e, deo=b²e, fo=ab²e, go=ac³, b²ho=ho, cho=b²cgh, eho=b²e, h²o=b²gh², io=gj, jo=gj, ko=adgj, lo=gl, mo=abc³, n²o=o, bo²=abc³, co²=c³, do²=c³, e²o²=o², ho²=c³, o³=c³, b³p=bp, c²p=c³, d²p=p, bep=abe, fp=ep, bgp=abc³, e²gp=gp, bchp=acgl, ip=bc³, jp=bc³, kp=bc³, lp=bc³, mp=abc³, op=ac³, p²=ac³, b²q=q, cq=abcl, d²q=q, eq=ab²e, fq=ab²e, gq=b²hp, dhq=ahq, h²q=ahq, iq=bc³, jq=bc³, kq=bc³, lq=bc³, mq=abc³, n²q=q, oq=b²hp, pq=ac³, q²=ac³, b²r=r, c²r=abc³, d²r=r, er=be, fr=be, gr=bdhp, chr=chi, ir=ac³, jr=ac³, kr=ac³, lr=ac³, mr=c³, n²r=r, or=bdhp, pr=bc³, qr=bc³, r²=ac³, b²s=s, c³s=bc³, d²s=s, es=be, fs=be, hs=bc³, is=ac³, js=ac³, ks=ac³, ls=ac³, n²s=s, os=bc³, ps=bc³, qs=bc³, rs=ac³, s²=ac³>

P = {a, b², ac, ab²c, c², ac³, ad, ab²d, cd, b²cd, ac²d, d², ae, ae², ace², ade², cde², d²e², bg, b³g, bcg, ac²g, bdg, bcdg, ce²g, de²g, acde²g, ad²e²g, ah, ab²h, ch, b²ch, dh, b²dh, acdh, ab²cdh, ae²h, ce²h, de²h, acde²h, gh, b²gh, abcgh, e²gh, ace²gh, ade²gh, cde²gh, h², b²h², ach², ab²ch², e²h², ace²h², agh², ab²gh², bcgh², ae²gh², ce²gh², bi, bcdi, abhi, bdhi, abcdhi, abdghi, bh²i, bj, bdgj, bk, abck, abdk, abhk, bdhk, bh²k, bl, abcl, abdl, bcdl, abgl, abcdgl, abm, bdm, abdgm, n, bcn, bdn, e²n, efn, agn, b³gn, abcgn, abdgn, bcdgn, ae²gn, abchn, abghn, bcghn, abcdghn, bch²n, bgh²n, abcgh²n, an², acn², adn², cdn², d²n², aen², ae²n², ace²n², ade²n², cde²n², d²e²n², ahn², chn², dhn², acdhn², ae²hn², ce²hn², de²hn², acde²hn², h²n², ach²n², e²h²n², ace²h²n², ab²o, bco, e²o, ho, adho, ano, b³no, abcno, bcdno, ae²no, abhno, no², ap, ab²p, acdp, ab²cdp, acep, adep, ae²p, acde²p, gp, cdgp, hp, b²hp, adhp, ab²dhp, cdhp, cehp, e²hp, ade²hp, cde²hp, aghp, dghp, acdghp, ah²p, ab²h²p, aceh²p, ae²h²p, gh²p, cnp, dnp, ce²np, de²np, acgnp, adgnp, achnp, ace²hnp, cghnp, acgh²np, an²p, acdn²p, aden²p, ae²n²p, acde²n²p, hn²p, adhn²p, cdhn²p, e²hn²p, ade²hn²p, cde²hn²p, ah²n²p, ae²h²n²p, ce²h²n²p, aq, dq, hq, br, abdr, bcdr, abhr, bdhr, bh²r, bs, abcs, bc²s, abds, bcds, abc²ds, gs, abc²gs, cdgs, ams, dms, adgms}

Phi = 1 1 a 1 a a be be be be abe b b a a c d e f abe be be be be g d²e²g c³ h b²e b²e b²e egh i j k l m n o b²p p q ab²e aegh abe abe abe r abc³ c³ s

Monoid Structure