Details Page for 0.2406

Complete Solution is Known:

MSV File: q-0.2406.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₁(0.2406):

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=b⁹, cf=ab²f, df=ab¹⁰, ef=b¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=b¹³, g²=b¹⁴, b⁵h=b¹³, ch=ab²h, dh=ab⁴h, eh=b¹³, fh=b¹⁴, gh=b¹⁵, h²=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=b¹⁵, gi=b¹⁶, hi=b¹⁵, i²=b¹⁶, b⁷j=b¹⁵, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=b⁶j, gj=b¹⁵, hj=b¹⁶, ij=b¹⁵, j²=b¹⁶, b⁶k=b⁵j, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=b⁵j, gk=b⁶j, hk=b¹⁵, ik=b¹⁶, jk=b¹⁵, k²=b¹⁶, b⁵l=b⁴k, cl=ab²l, dl=ab⁴l, el=b⁴k, fl=b⁵k, gl=b⁵j, hl=b⁶j, il=b¹⁵, jl=b¹⁶, kl=b¹⁵, l²=b¹⁶, b⁴m=b³l, cm=ab²m, dm=ab³l, em=b⁴l, fm=b⁴k, gm=b⁵k, hm=b⁵j, im=b⁶j, jm=b¹⁵, km=b¹⁶, lm=b¹⁵, m²=b¹⁶, b³n=b²m, cn=ab²n, dn=ab³m, en=b³l, fn=b⁴l, gn=b⁴k, hn=b⁵k, in=b⁵j, jn=b⁶j, kn=b¹⁵, ln=b¹⁶, mn=b¹⁵, n²=b¹⁶, b²o=bn, co=abn, do=ab²m, eo=b³m, fo=b³l, go=b⁴l, ho=b⁴k, io=b⁵k, jo=b⁵j, ko=b⁶j, lo=b¹⁵, mo=b¹⁶, no=b¹⁵, o²=b¹⁶, bp=o, cp=abo, dp=ab²n, ep=b²m, fp=b³m, gp=b³l, hp=b⁴l, ip=b⁴k, jp=b⁵k, kp=b⁵j, lp=b⁶j, mp=b¹⁵, np=b¹⁶, op=b¹⁵, p²=b¹⁶, bq=p, cq=ao, dq=abn, eq=b²n, fq=b²m, gq=b³m, hq=b³l, iq=b⁴l, jq=b⁴k, kq=b⁵k, lq=b⁵j, mq=b⁶j, nq=b¹⁵, oq=b¹⁶, pq=b¹⁵, q²=b¹⁶, br=q, cr=ap, dr=abo, er=bn, fr=b²n, gr=b²m, hr=b³m, ir=b³l, jr=b⁴l, kr=b⁴k, lr=b⁵k, mr=b⁵j, nr=b⁶j, or=b¹⁵, pr=b¹⁶, qr=b¹⁵, r²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, e, bf, g, b²g, bh, b³h, i, b²i, b⁴i, bj, b³j, b⁵j, k, b²k, b⁴k, bl, b³l, m, b²m, bn, o, q}

Phi = 1 1 a 1 a b ab b ab 1 a 1 c b ab b ab³ ac c ac d b³ ab³ b³ ab⁵ ad d b⁴ ab⁶ e ae b⁵ ab⁷ f af b⁶ ab⁸ g ag b⁷ ab⁹ h ah b⁸ ab¹⁰ i ai b⁹ ab¹¹ j aj b¹⁰ ab¹² k ak b¹¹ ab¹³ l al b¹² ab¹⁴ m am b¹³ ab¹⁵ n an b¹⁴ ab¹⁶ o ao b¹⁵ ab¹⁵ p ap b¹⁶ ab¹⁶ q aq b¹⁵ ab¹⁵ r ar b¹⁶ ab¹⁶

Monoid Structure