Details Page for 0.5571

Complete Solution is Known:

MSV File: q-0.5571.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₁(0.5571):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁷=b¹⁵, 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=ab¹⁵, i²=b¹⁶, b⁷j=ab¹⁵, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁵, hj=b¹⁶, ij=ab¹⁵, j²=b¹⁶, b⁶k=ab⁵j, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=b⁵j, gk=ab⁶j, hk=ab¹⁵, ik=b¹⁶, jk=ab¹⁵, k²=b¹⁶, b⁵l=ab⁴k, cl=ab²l, dl=ab⁴l, el=ab⁴k, fl=b⁵k, gl=b⁵j, hl=ab⁶j, il=ab¹⁵, jl=b¹⁶, kl=ab¹⁵, l²=b¹⁶, b⁴m=ab³l, cm=ab²m, dm=b³l, em=ab⁴l, fm=ab⁴k, gm=b⁵k, hm=b⁵j, im=ab⁶j, jm=ab¹⁵, km=b¹⁶, lm=ab¹⁵, m²=b¹⁶, b³n=ab²m, cn=ab²n, dn=b³m, en=b³l, fn=ab⁴l, gn=ab⁴k, hn=b⁵k, in=b⁵j, jn=ab⁶j, kn=ab¹⁵, ln=b¹⁶, mn=ab¹⁵, n²=b¹⁶, b²o=abn, co=bn, do=ab²m, eo=b³m, fo=b³l, go=ab⁴l, ho=ab⁴k, io=b⁵k, jo=b⁵j, ko=ab⁶j, lo=ab¹⁵, mo=b¹⁶, no=ab¹⁵, o²=b¹⁶, bp=ao, cp=bo, dp=ab²n, ep=ab²m, fp=b³m, gp=b³l, hp=ab⁴l, ip=ab⁴k, jp=b⁵k, kp=b⁵j, lp=ab⁶j, mp=ab¹⁵, np=b¹⁶, op=ab¹⁵, p²=b¹⁶, bq=ap, cq=ao, dq=bn, eq=ab²n, fq=ab²m, gq=b³m, hq=b³l, iq=ab⁴l, jq=ab⁴k, kq=b⁵k, lq=b⁵j, mq=ab⁶j, nq=ab¹⁵, oq=b¹⁶, pq=ab¹⁵, q²=b¹⁶, br=aq, cr=ap, dr=bo, er=bn, fr=ab²n, gr=ab²m, hr=b³m, ir=b³l, jr=ab⁴l, kr=ab⁴k, lr=b⁵k, mr=b⁵j, nr=ab⁶j, or=ab¹⁵, pr=b¹⁶, qr=ab¹⁵, r²=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, bl, b³l, am, ab²m, bn, ao, aq}

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

Monoid Structure