Details Page for 0.7257

Complete Solution is Known:

MSV File: q-0.7257.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₉₄(0.7257):

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, bc²=b³, c⁴=c², bd=abc, c²d=ac³, d³=d, b³e=be, be²=b³, e³=e, bf=abc, c²f=ab²c, cf²=cdf, df³=d²f², f⁴=f², bg=abe, c²g=ab²e, e²g=g, dfg=ab²e, f²g=ab²e, g²=aeg, bh=ab³, ch=ab²c, dh=acd²eg, e²h=h, f³h=fh, gh=cdg, h²=b², b²i=bce, bci=b²e, c²i=bce, cd²i=ci, ei=bc, cfi=cdi, d²fi=fi, f²i=dfi, gi=abc, hi=abce, bi²=b, fi²=di², ci³=ci, di³=fi, i⁴=i², bj=abc, c²j=ab²c, cfj=cdj, defj=d²ej, df²j=d²fj, f³j=fj, gj=fg, f²hj=hj, d²ij=ij, fij=dij, i³j=ij, j²=b², bk=abe, cd²k=ck, e²k=k, f²k=dfk, gk=b², fhk=ab²ce, ik=abc, jk=b²ce, k²=b², bl=be, cl=b²ce, d²l=l, el=b², fl=ab²ce, gl=ab², hl=ab²e, il=bc, jl=ab²ce, kl=ab², l²=b², b²m=ab²ce, cm=ab²e, dm=b²e, em=ab²c, fm=b²e, gm=b²c, hm=b²ce, i²m=m, jm=b²e, km=b²c, lm=ab²c, m²=b², b³n=bn, b²cn=cn, c²n=b²n, dn=acn, e²n=n, cfn=ab²n, f²n=n, gn=ab²en, hn=ab²n, in=bcen, cjn=ab²n, kn=ab²en, ln=b²en, mn=acen, n²=b², bo=abc, co=ab², do=b², e²o=o, go=b²ce, ho=b²c, io=abe, jo=afhj, ko=b²ce, lo=ab²ce, mo=b²e, no=acn, o²=b², bp=be, c²p=p, dp=acp, e²p=p, fp=ab²ce, gp=ab², hp=ab²e, ip=bc, jp=ab²ce, lp=b², mp=ab²c, np=b²en, op=ab²ce, p²=b², bq=bcn, c²q=q, dq=acq, e²q=q, fq=ab²n, gq=acen, hq=acn, iq=ben, jq=ab²n, lq=cen, mq=ab²en, nq=b²c, oq=ab²n, pq=cen, q²=b², br=bn, c²r=r, dr=acr, e²r=r, fr=acn, gr=ab²en, hr=ab²n, ir=bcen, jr=acn, lr=b²en, mr=acen, nr=b², or=acn, pr=b²en, qr=b²c, r²=b², bs=ab²ce, c²s=s, ds=acs, es=abc, fs=be, gs=bc, hs=bce, is=ab², js=be, ks=bc, ls=abc, ms=b³, ns=abcen, os=be, ps=abc, qs=aben, rs=abcen, s²=b², b²t=t, c²t=t, dt=act, e²t=t, ft=act, gt=aet, ht=at, it=bcet, jt=act, kt=aet, lt=et, mt=acet, ot=act, pt=et, qt=cnt, rt=nt, st=abcet, t²=b², b²u=u, c²u=u, du=acu, e²u=u, fu=acu, gu=aeu, hu=au, iu=bceu, ju=acu, ku=aeu, lu=eu, mu=aceu, ou=acu, pu=eu, qu=cnu, ru=nu, su=abceu, u²=b²>

P = {a, b², c², d, ad², ace, de, acd²e, ae², c²e², de², ad²e², af, acdef, ae²f, f², d²f², e²f², d²e²f², af³, ae²f³, eg, adeg, d²eg, efg, aci, di, i², d²i², aj, acdej, ae²j, de²j, fj, d²fj, e²fj, af²j, ae²f²j, di²j, aek, ac²ek, ad²ek, efk, adefk, adl, aim, ajn, f³o, acep, aceq, ckq, cer, ackr, cs}

Phi = 1 a 1 b ab bc abc c d c²ek b³ ab³ bc abc e b²c f g ab³ b³ h i b²c j adfk k cdij ij ab³ b³ ab² l bc b²n abe ab³ b³ m b²ce ab²e n bc o be abe p b ab² b²n abce bn bc abc abcn q r abce bn bc abc abcn ab²e bim acn abce bce bc acekp bcen ab² ab²n b²en be abce ab³ abn bn cekq b²n be b³ ab³ abn ab²ce aben s be bc t bcn ben b²ce abt bn ab²n bc b²e abe bcn abt b²en ab²en abce bce abn bcn bt cn b²en cen ct abce bcen b²e ab²e ab²en abcn at ct abce b²ce ab²ce abt aet abe t ben ab²en bct ab²ce cen abe cn acn bcn abcn bc b²ce abt abe be b³ bcn b²en bcet acet ab²n t act ct abcet abt bct b²c cet et bn bcnt abct ab²c abe cet ab²ce et abn ant bt bcnt abcnt bnt b²en t bcen abcen abce abt ab³ abc ent nt acnt ab²n bet ct aent abcnt acet ben abc abe ent cen t acet u be abce au abcet ab²ce abu bcen abcen u acu bc b²en cent aet ab²n ab³ b³ beu b²en be aet ct u bcen ab³ abeu ab²n ab²c cet aben u bet abt abu abcu abce cent nt b²e abet bet b²n cen acu bn abcu abt aceu abu aet et acen aent cent cu b²c be bc u aceu abcu bce bct b²n bnt ab²e ant abu bcen bet acen abc ct bu nt abe aceu au u ct bcu abn bn aeu au b²n abcent bcent aceu aent ent nt anu be at abnu ceu b²n cnt beu cnu t ab²c abu bcn bcu acnt aben b²en abnt bcenu abcen cent acet abct abce bent abcnu abu u bc bcent aceu abcnt b²n abcet bn abn beu bcent ceu abcnt tu cn aeu beu u abe bcent tu abcenu abceu btu abce at bnt acnu ab²e ab²en bctu bnu aent abet aeu aenu ab²e aceu bu ent ben cetu abent beu aeu abe aben nt atu bcetu acu aceu abt bcnu cnu anu ab²en cen ntu abntu cntu abeu beu bcent abenu b²e atu acu cenu b³ bntu cen entu bcu eu ab²en btu beu cet acet aeu cent abcnt nt bceu b²ce bntu bcntu antu abcnu aeu abc bn bu cenu ab² abet aentu acent abcentu

Monoid Structure