Details Page for 0.1557

Complete Solution is Known:

MSV File: q-0.1557.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₅(0.1557):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b¹⁸=b¹⁶, 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=b¹⁶, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁷, hj=b¹⁶, ij=ab¹⁷, j²=b¹⁶, b⁷k=ab⁶j, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁶k, gk=ab⁶j, hk=ab¹⁷, ik=b¹⁶, jk=ab¹⁷, k²=b¹⁶, b⁶l=ab⁵k, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=b⁵k, gl=ab⁶k, hl=ab⁶j, il=ab¹⁷, jl=b¹⁶, kl=ab¹⁷, l²=b¹⁶, b⁵m=ab⁴l, cm=ab²m, dm=ab⁴m, em=ab⁴l, fm=b⁵l, gm=b⁵k, hm=ab⁶k, im=ab⁶j, jm=ab¹⁷, km=b¹⁶, lm=ab¹⁷, m²=b¹⁶, b⁴n=ab³m, cn=ab²n, dn=b³m, en=ab⁴m, fn=ab⁴l, gn=b⁵l, hn=b⁵k, in=ab⁶k, jn=ab⁶j, kn=ab¹⁷, ln=b¹⁶, mn=ab¹⁷, n²=b¹⁶, b³o=ab²n, co=ab²o, do=b³n, eo=b³m, fo=ab⁴m, go=ab⁴l, ho=b⁵l, io=b⁵k, jo=ab⁶k, ko=ab⁶j, lo=ab¹⁷, mo=b¹⁶, no=ab¹⁷, o²=b¹⁶, b²p=abo, cp=bo, dp=ab²n, ep=b³n, fp=b³m, gp=ab⁴m, hp=ab⁴l, ip=b⁵l, jp=b⁵k, kp=ab⁶k, lp=ab⁶j, mp=ab¹⁷, np=b¹⁶, op=ab¹⁷, p²=b¹⁶, bq=ap, cq=bp, dq=ab²o, eq=ab²n, fq=b³n, gq=b³m, hq=ab⁴m, iq=ab⁴l, jq=b⁵l, kq=b⁵k, lq=ab⁶k, mq=ab⁶j, nq=ab¹⁷, oq=b¹⁶, pq=ab¹⁷, q²=b¹⁶, br=aq, cr=ap, dr=bo, er=ab²o, fr=ab²n, gr=b³n, hr=b³m, ir=ab⁴m, jr=ab⁴l, kr=b⁵l, lr=b⁵k, mr=ab⁶k, nr=ab⁶j, or=ab¹⁷, pr=b¹⁶, qr=ab¹⁷, r²=b¹⁶, bs=ar, cs=aq, ds=bp, es=bo, fs=ab²o, gs=ab²n, hs=b³n, is=b³m, js=ab⁴m, ks=ab⁴l, ls=b⁵l, ms=b⁵k, ns=ab⁶k, os=ab⁶j, ps=ab¹⁷, qs=b¹⁶, rs=ab¹⁷, s²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, ab⁶k, bl, b³l, b⁵l, am, ab²m, ab⁴m, bn, b³n, ao, ab²o, bp, aq, as}

Phi = 1 a a a a b b b b a a a c b b b b³ c c c d b³ b³ b³ b⁵ d d ab⁴ ab⁶ e e b⁵ b⁷ f f ab⁶ ab⁸ g g b⁷ b⁹ h h ab⁸ ab¹⁰ i i b⁹ b¹¹ j j ab¹⁰ ab¹² k k b¹¹ b¹³ l l ab¹² ab¹⁴ m m b¹³ b¹⁵ n n ab¹⁴ ab¹⁶ o o b¹⁵ b¹⁷ p p ab¹⁶ ab¹⁶ q q b¹⁷ b¹⁷ r r ab¹⁶ ab¹⁶ s s b¹⁷ b¹⁷

Monoid Structure