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 Q₈₉(0.2406):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a²=1, b¹⁹=b¹⁷, 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=b¹⁸, b⁷j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=b⁶j, gj=b¹⁷, hj=b¹⁸, ij=b¹⁷, j²=b¹⁸, b⁸k=b¹⁷, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=b⁶k, gk=b⁷k, hk=b¹⁷, ik=b¹⁸, jk=b¹⁷, k²=b¹⁸, b⁷l=b⁶k, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=b⁶l, gl=b⁶k, hl=b⁷k, il=b¹⁷, jl=b¹⁸, kl=b¹⁷, l²=b¹⁸, b⁶m=b⁵l, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=b⁵l, gm=b⁶l, hm=b⁶k, im=b⁷k, jm=b¹⁷, km=b¹⁸, lm=b¹⁷, m²=b¹⁸, b⁵n=b⁴m, cn=ab²n, dn=ab⁴n, en=b⁴m, fn=b⁵m, gn=b⁵l, hn=b⁶l, in=b⁶k, jn=b⁷k, kn=b¹⁷, ln=b¹⁸, mn=b¹⁷, n²=b¹⁸, b⁴o=b³n, co=ab²o, do=ab³n, eo=b⁴n, fo=b⁴m, go=b⁵m, ho=b⁵l, io=b⁶l, jo=b⁶k, ko=b⁷k, lo=b¹⁷, mo=b¹⁸, no=b¹⁷, o²=b¹⁸, b³p=b²o, cp=ab²p, dp=ab³o, ep=b³n, fp=b⁴n, gp=b⁴m, hp=b⁵m, ip=b⁵l, jp=b⁶l, kp=b⁶k, lp=b⁷k, mp=b¹⁷, np=b¹⁸, op=b¹⁷, p²=b¹⁸, b²q=bp, cq=abp, dq=ab²o, eq=b³o, fq=b³n, gq=b⁴n, hq=b⁴m, iq=b⁵m, jq=b⁵l, kq=b⁶l, lq=b⁶k, mq=b⁷k, nq=b¹⁷, oq=b¹⁸, pq=b¹⁷, q²=b¹⁸, br=q, cr=abq, dr=ab²p, er=b²o, fr=b³o, gr=b³n, hr=b⁴n, ir=b⁴m, jr=b⁵m, kr=b⁵l, lr=b⁶l, mr=b⁶k, nr=b⁷k, or=b¹⁷, pr=b¹⁸, qr=b¹⁷, r²=b¹⁸, bs=r, cs=aq, ds=abp, es=b²p, fs=b²o, gs=b³o, hs=b³n, is=b⁴n, js=b⁴m, ks=b⁵m, ls=b⁵l, ms=b⁶l, ns=b⁶k, os=b⁷k, ps=b¹⁷, qs=b¹⁸, rs=b¹⁷, s²=b¹⁸, bt=s, ct=ar, dt=abq, et=bp, ft=b²p, gt=b²o, ht=b³o, it=b³n, jt=b⁴n, kt=b⁴m, lt=b⁵m, mt=b⁵l, nt=b⁶l, ot=b⁶k, pt=b⁷k, qt=b¹⁷, rt=b¹⁸, st=b¹⁷, t²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, 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 ab¹⁸ q aq b¹⁷ ab¹⁷ r ar b¹⁸ ab¹⁸ s as b¹⁷ ab¹⁷ t at b¹⁸ ab¹⁸

Monoid Structure