Details Page for 0.5351

Complete Solution is Known:

MSV File: q-0.5351.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₂(0.5351):

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=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=ab¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁶k, gk=b⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab²¹, k²=b²⁰, b⁹l=ab²¹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁶l, gl=b⁷l, hl=ab⁸l, il=ab²¹, jl=b²⁰, kl=ab²¹, l²=b²⁰, b⁹m=ab⁸l, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁶m, gm=b⁷m, hm=ab⁸m, im=ab⁸l, jm=ab²¹, km=b²⁰, lm=ab²¹, m²=b²⁰, b⁸n=ab⁷m, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=ab⁶n, gn=b⁷n, hn=b⁷m, in=ab⁸m, jn=ab⁸l, kn=ab²¹, ln=b²⁰, mn=ab²¹, n²=b²⁰, b⁷o=ab⁶n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=ab⁶o, go=ab⁶n, ho=b⁷n, io=b⁷m, jo=ab⁸m, ko=ab⁸l, lo=ab²¹, mo=b²⁰, no=ab²¹, o²=b²⁰, b⁶p=ab⁵o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=b⁵o, gp=ab⁶o, hp=ab⁶n, ip=b⁷n, jp=b⁷m, kp=ab⁸m, lp=ab⁸l, mp=ab²¹, np=b²⁰, op=ab²¹, p²=b²⁰, b⁵q=ab⁴p, cq=ab²q, dq=ab⁴q, eq=ab⁴p, fq=b⁵p, gq=b⁵o, hq=ab⁶o, iq=ab⁶n, jq=b⁷n, kq=b⁷m, lq=ab⁸m, mq=ab⁸l, nq=ab²¹, oq=b²⁰, pq=ab²¹, q²=b²⁰, b⁴r=ab³q, cr=ab²r, dr=b³q, er=ab⁴q, fr=ab⁴p, gr=b⁵p, hr=b⁵o, ir=ab⁶o, jr=ab⁶n, kr=b⁷n, lr=b⁷m, mr=ab⁸m, nr=ab⁸l, or=ab²¹, pr=b²⁰, qr=ab²¹, r²=b²⁰, b³s=ab²r, cs=ab²s, ds=b³r, es=b³q, fs=ab⁴q, gs=ab⁴p, hs=b⁵p, is=b⁵o, js=ab⁶o, ks=ab⁶n, ls=b⁷n, ms=b⁷m, ns=ab⁸m, os=ab⁸l, ps=ab²¹, qs=b²⁰, rs=ab²¹, s²=b²⁰, b²t=abs, ct=bs, dt=ab²r, et=b³r, ft=b³q, gt=ab⁴q, ht=ab⁴p, it=b⁵p, jt=b⁵o, kt=ab⁶o, lt=ab⁶n, mt=b⁷n, nt=b⁷m, ot=ab⁸m, pt=ab⁸l, qt=ab²¹, rt=b²⁰, st=ab²¹, t²=b²⁰, bu=at, cu=bt, du=ab²s, eu=ab²r, fu=b³r, gu=b³q, hu=ab⁴q, iu=ab⁴p, ju=b⁵p, ku=b⁵o, lu=ab⁶o, mu=ab⁶n, nu=b⁷n, ou=b⁷m, pu=ab⁸m, qu=ab⁸l, ru=ab²¹, su=b²⁰, tu=ab²¹, u²=b²⁰, bv=au, cv=at, dv=bs, ev=ab²s, fv=ab²r, gv=b³r, hv=b³q, iv=ab⁴q, jv=ab⁴p, kv=b⁵p, lv=b⁵o, mv=ab⁶o, nv=ab⁶n, ov=b⁷n, pv=b⁷m, qv=ab⁸m, rv=ab⁸l, sv=ab²¹, tv=b²⁰, uv=ab²¹, v²=b²⁰, bw=av, cw=au, dw=bt, ew=bs, fw=ab²s, gw=ab²r, hw=b³r, iw=b³q, jw=ab⁴q, kw=ab⁴p, lw=b⁵p, mw=b⁵o, nw=ab⁶o, ow=ab⁶n, pw=b⁷n, qw=b⁷m, rw=ab⁸m, sw=ab⁸l, tw=ab²¹, uw=b²⁰, vw=ab²¹, w²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, ab⁶k, bl, b³l, b⁵l, b⁷l, am, ab²m, ab⁴m, ab⁶m, ab⁸m, bn, b³n, b⁵n, b⁷n, ao, ab²o, ab⁴o, ab⁶o, bp, b³p, b⁵p, aq, ab²q, ab⁴q, br, b³r, as, ab²s, bt, au, aw}

Phi = 1 a a b b a a b b c c b³ b³ d d 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