Details Page for 0.7251

Complete Solution is Known:

MSV File: q-0.7251.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₂(0.7251):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a²=1, b²²=b²⁰, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=b⁹, cf=ab²f, df=ab¹⁰, ef=ab¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=b¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=b⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=b⁶k, gk=ab⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab²¹, k²=b²⁰, b⁹l=b²¹, cl=ab²l, dl=ab⁴l, el=ab⁵l, fl=b⁶l, gl=ab⁷l, hl=b⁸l, il=ab²¹, jl=b²⁰, kl=ab²¹, l²=b²⁰, b⁹m=ab⁸l, cm=ab²m, dm=ab⁴m, em=ab⁵m, fm=b⁶m, gm=ab⁷m, hm=b⁸m, im=b⁸l, jm=ab²¹, km=b²⁰, lm=ab²¹, m²=b²⁰, b⁸n=ab⁷m, cn=ab²n, dn=ab⁴n, en=ab⁵n, fn=b⁶n, gn=ab⁷n, hn=ab⁷m, in=b⁸m, jn=b⁸l, kn=ab²¹, ln=b²⁰, mn=ab²¹, n²=b²⁰, b⁷o=ab⁶n, co=ab²o, do=ab⁴o, eo=ab⁵o, fo=b⁶o, go=b⁶n, ho=ab⁷n, io=ab⁷m, jo=b⁸m, ko=b⁸l, lo=ab²¹, mo=b²⁰, no=ab²¹, o²=b²⁰, b⁶p=ab⁵o, cp=ab²p, dp=ab⁴p, ep=ab⁵p, fp=ab⁵o, gp=b⁶o, hp=b⁶n, ip=ab⁷n, jp=ab⁷m, kp=b⁸m, lp=b⁸l, mp=ab²¹, np=b²⁰, op=ab²¹, p²=b²⁰, b⁵q=ab⁴p, cq=ab²q, dq=ab⁴q, eq=b⁴p, fq=ab⁵p, gq=ab⁵o, hq=b⁶o, iq=b⁶n, jq=ab⁷n, kq=ab⁷m, lq=b⁸m, mq=b⁸l, nq=ab²¹, oq=b²⁰, pq=ab²¹, q²=b²⁰, b⁴r=ab³q, cr=ab²r, dr=b³q, er=b⁴q, fr=b⁴p, gr=ab⁵p, hr=ab⁵o, ir=b⁶o, jr=b⁶n, kr=ab⁷n, lr=ab⁷m, mr=b⁸m, nr=b⁸l, or=ab²¹, pr=b²⁰, qr=ab²¹, r²=b²⁰, b³s=ab²r, cs=ab²s, ds=b³r, es=ab³q, fs=b⁴q, gs=b⁴p, hs=ab⁵p, is=ab⁵o, js=b⁶o, ks=b⁶n, ls=ab⁷n, ms=ab⁷m, ns=b⁸m, os=b⁸l, ps=ab²¹, qs=b²⁰, rs=ab²¹, s²=b²⁰, b²t=abs, ct=bs, dt=ab²r, et=ab³r, ft=ab³q, gt=b⁴q, ht=b⁴p, it=ab⁵p, jt=ab⁵o, kt=b⁶o, lt=b⁶n, mt=ab⁷n, nt=ab⁷m, ot=b⁸m, pt=b⁸l, qt=ab²¹, rt=b²⁰, st=ab²¹, t²=b²⁰, bu=at, cu=bt, du=ab²s, eu=b²r, fu=ab³r, gu=ab³q, hu=b⁴q, iu=b⁴p, ju=ab⁵p, ku=ab⁵o, lu=b⁶o, mu=b⁶n, nu=ab⁷n, ou=ab⁷m, pu=b⁸m, qu=b⁸l, ru=ab²¹, su=b²⁰, tu=ab²¹, u²=b²⁰, bv=au, cv=at, dv=bs, ev=b²s, fv=b²r, gv=ab³r, hv=ab³q, iv=b⁴q, jv=b⁴p, kv=ab⁵p, lv=ab⁵o, mv=b⁶o, nv=b⁶n, ov=ab⁷n, pv=ab⁷m, qv=b⁸m, rv=b⁸l, sv=ab²¹, tv=b²⁰, uv=ab²¹, v²=b²⁰, bw=av, cw=au, dw=bt, ew=abs, fw=b²s, gw=b²r, hw=ab³r, iw=ab³q, jw=b⁴q, kw=b⁴p, lw=ab⁵p, mw=ab⁵o, nw=b⁶o, ow=b⁶n, pw=ab⁷n, qw=ab⁷m, rw=b⁸m, sw=b⁸l, tw=ab²¹, uw=b²⁰, vw=ab²¹, w²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, e, abf, g, b²g, abh, ab³h, i, b²i, b⁴i, abj, ab³j, ab⁵j, k, b²k, b⁴k, b⁶k, abl, ab³l, ab⁵l, ab⁷l, m, b²m, b⁴m, b⁶m, b⁸m, abn, ab³n, ab⁵n, ab⁷n, o, b²o, b⁴o, b⁶o, abp, ab³p, ab⁵p, q, b²q, b⁴q, abr, ab³r, s, b²s, abt, u, w}

Phi = 1 a 1 b ab a 1 b ab c ac b³ ab³ d ad b⁵ e ab⁶ f b⁷ g ab⁸ h b⁹ i ab¹⁰ j b¹¹ k ab¹² l b¹³ m ab¹⁴ n b¹⁵ o ab¹⁶ p b¹⁷ q ab¹⁸ r b¹⁹ s ab²⁰ t b²¹ u ab²⁰ v b²¹ w ab²⁰

Monoid Structure