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 Q₈₅(0.2406):

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=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=b¹⁷, i²=b¹⁶, b⁷j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=b⁶j, gj=b¹⁷, hj=b¹⁶, ij=b¹⁷, j²=b¹⁶, b⁷k=b⁶j, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=b⁶k, gk=b⁶j, hk=b¹⁷, ik=b¹⁶, jk=b¹⁷, k²=b¹⁶, b⁶l=b⁵k, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=b⁵k, gl=b⁶k, hl=b⁶j, il=b¹⁷, jl=b¹⁶, kl=b¹⁷, l²=b¹⁶, b⁵m=b⁴l, cm=ab²m, dm=ab⁴m, em=b⁴l, fm=b⁵l, gm=b⁵k, hm=b⁶k, im=b⁶j, jm=b¹⁷, km=b¹⁶, lm=b¹⁷, m²=b¹⁶, b⁴n=b³m, cn=ab²n, dn=ab³m, en=b⁴m, fn=b⁴l, gn=b⁵l, hn=b⁵k, in=b⁶k, jn=b⁶j, kn=b¹⁷, ln=b¹⁶, mn=b¹⁷, n²=b¹⁶, b³o=b²n, co=ab²o, do=ab³n, eo=b³m, fo=b⁴m, go=b⁴l, ho=b⁵l, io=b⁵k, jo=b⁶k, ko=b⁶j, lo=b¹⁷, mo=b¹⁶, no=b¹⁷, o²=b¹⁶, b²p=bo, cp=abo, dp=ab²n, ep=b³n, fp=b³m, gp=b⁴m, hp=b⁴l, ip=b⁵l, jp=b⁵k, kp=b⁶k, lp=b⁶j, mp=b¹⁷, np=b¹⁶, op=b¹⁷, p²=b¹⁶, bq=p, cq=abp, dq=ab²o, eq=b²n, fq=b³n, gq=b³m, hq=b⁴m, iq=b⁴l, jq=b⁵l, kq=b⁵k, lq=b⁶k, mq=b⁶j, nq=b¹⁷, oq=b¹⁶, pq=b¹⁷, q²=b¹⁶, br=q, cr=ap, dr=abo, er=b²o, fr=b²n, gr=b³n, hr=b³m, ir=b⁴m, jr=b⁴l, kr=b⁵l, lr=b⁵k, mr=b⁶k, nr=b⁶j, or=b¹⁷, pr=b¹⁶, qr=b¹⁷, r²=b¹⁶, bs=r, cs=aq, ds=abp, es=bo, fs=b²o, gs=b²n, hs=b³n, is=b³m, js=b⁴m, ks=b⁴l, ls=b⁵l, ms=b⁵k, ns=b⁶k, os=b⁶j, ps=b¹⁷, qs=b¹⁶, rs=b¹⁷, s²=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, b⁶k, bl, b³l, b⁵l, m, b²m, b⁴m, bn, b³n, o, b²o, bp, q, s}

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 ab¹⁷ p ap b¹⁶ ab¹⁶ q aq b¹⁷ ab¹⁷ r ar b¹⁶ ab¹⁶ s as b¹⁷ ab¹⁷

Monoid Structure