Details Page for 0.2224

Complete Solution is Known:

MSV File: q-0.2224.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₄(0.2224):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a²=1, b²¹=b¹⁹, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², b²f=ab⁹, cf=b⁹, df=b¹¹, ef=b¹³, f²=b¹⁴, b³g=ab¹¹, cg=ab²g, dg=b¹², eg=b¹⁴, fg=b¹⁵, g²=b¹⁶, b⁴h=ab¹³, ch=ab²h, dh=b¹³, eh=b¹⁵, fh=b¹⁶, gh=b¹⁷, h²=b¹⁸, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁶, fi=b¹⁷, gi=b¹⁸, hi=b¹⁹, i²=b²⁰, b⁶j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁷, fj=b¹⁸, gj=b¹⁹, hj=b²⁰, ij=b¹⁹, j²=b²⁰, b⁷k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=b¹⁹, gk=b²⁰, hk=b¹⁹, ik=b²⁰, jk=b¹⁹, k²=b²⁰, b⁸l=ab¹⁹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=ab⁷l, gl=b¹⁹, hl=b²⁰, il=b¹⁹, jl=b²⁰, kl=b¹⁹, l²=b²⁰, b⁷m=b⁶l, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab⁶l, gm=ab⁷l, hm=b¹⁹, im=b²⁰, jm=b¹⁹, km=b²⁰, lm=b¹⁹, m²=b²⁰, b⁶n=b⁵m, cn=ab²n, dn=ab⁴n, en=ab⁵m, fn=ab⁶m, gn=ab⁶l, hn=ab⁷l, in=b¹⁹, jn=b²⁰, kn=b¹⁹, ln=b²⁰, mn=b¹⁹, n²=b²⁰, b⁵o=b⁴n, co=ab²o, do=ab⁴o, eo=ab⁵n, fo=ab⁵m, go=ab⁶m, ho=ab⁶l, io=ab⁷l, jo=b¹⁹, ko=b²⁰, lo=b¹⁹, mo=b²⁰, no=b¹⁹, o²=b²⁰, b⁴p=b³o, cp=ab²p, dp=ab³o, ep=ab⁴n, fp=ab⁵n, gp=ab⁵m, hp=ab⁶m, ip=ab⁶l, jp=ab⁷l, kp=b¹⁹, lp=b²⁰, mp=b¹⁹, np=b²⁰, op=b¹⁹, p²=b²⁰, b³q=b²p, cq=ab²q, dq=ab³p, eq=ab⁴o, fq=ab⁴n, gq=ab⁵n, hq=ab⁵m, iq=ab⁶m, jq=ab⁶l, kq=ab⁷l, lq=b¹⁹, mq=b²⁰, nq=b¹⁹, oq=b²⁰, pq=b¹⁹, q²=b²⁰, b²r=bq, cr=abq, dr=ab²p, er=ab³o, fr=ab⁴o, gr=ab⁴n, hr=ab⁵n, ir=ab⁵m, jr=ab⁶m, kr=ab⁶l, lr=ab⁷l, mr=b¹⁹, nr=b²⁰, or=b¹⁹, pr=b²⁰, qr=b¹⁹, r²=b²⁰, bs=r, cs=abr, ds=ab²q, es=ab³p, fs=ab³o, gs=ab⁴o, hs=ab⁴n, is=ab⁵n, js=ab⁵m, ks=ab⁶m, ls=ab⁶l, ms=ab⁷l, ns=b¹⁹, os=b²⁰, ps=b¹⁹, qs=b²⁰, rs=b¹⁹, s²=b²⁰, bt=s, ct=ar, dt=abq, et=ab²p, ft=ab³p, gt=ab³o, ht=ab⁴o, it=ab⁴n, jt=ab⁵n, kt=ab⁵m, lt=ab⁶m, mt=ab⁶l, nt=ab⁷l, ot=b¹⁹, pt=b²⁰, qt=b¹⁹, rt=b²⁰, st=b¹⁹, t²=b²⁰, bu=t, cu=as, du=abr, eu=ab²q, fu=ab²p, gu=ab³p, hu=ab³o, iu=ab⁴o, ju=ab⁴n, ku=ab⁵n, lu=ab⁵m, mu=ab⁶m, nu=ab⁶l, ou=ab⁷l, pu=b¹⁹, qu=b²⁰, ru=b¹⁹, su=b²⁰, tu=b¹⁹, u²=b²⁰, bv=u, cv=at, dv=ar, ev=abq, fv=ab²q, gv=ab²p, hv=ab³p, iv=ab³o, jv=ab⁴o, kv=ab⁴n, lv=ab⁵n, mv=ab⁵m, nv=ab⁶m, ov=ab⁶l, pv=ab⁷l, qv=b¹⁹, rv=b²⁰, sv=b¹⁹, tv=b²⁰, uv=b¹⁹, v²=b²⁰, bw=v, cw=au, dw=as, ew=abr, fw=abq, gw=ab²q, hw=ab²p, iw=ab³p, jw=ab³o, kw=ab⁴o, lw=ab⁴n, mw=ab⁵n, nw=ab⁵m, ow=ab⁶m, pw=ab⁶l, qw=ab⁷l, rw=b¹⁹, sw=b²⁰, tw=b¹⁹, uw=b²⁰, vw=b¹⁹, w²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, af, abg, ah, ab²h, abi, ab³i, aj, ab²j, ab⁴j, abk, ab³k, ab⁵k, al, ab²l, ab⁴l, ab⁶l, abm, ab³m, ab⁵m, an, ab²n, ab⁴n, abo, ab³o, ap, ab²p, abq, ar, at, av}

Phi = 1 1 a b ab 1 a b ab 1 c b ab³ b² d b³ ab⁵ b⁴ e b⁵ f b⁶ g b⁷ h b⁸ i b⁹ j b¹⁰ k b¹¹ l b¹² m b¹³ n b¹⁴ o b¹⁵ p b¹⁶ q b¹⁷ r b¹⁸ s b¹⁹ t b²⁰ u b¹⁹ v b²⁰ w b¹⁹

Monoid Structure