Details Page for 0.7241

Complete Solution is Known:

MSV File: q-0.7241.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₄(0.7241):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x | a²=1, b²³=b²¹, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=b⁹, cf=ab²f, df=ab¹⁰, ef=ab¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=b¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=b⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=b⁶k, gk=ab⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab²¹, k²=b²², b⁹l=b²¹, cl=ab²l, dl=ab⁴l, el=ab⁵l, fl=b⁶l, gl=ab⁷l, hl=b⁸l, il=ab²¹, jl=b²², kl=ab²¹, l²=b²², b¹⁰m=ab²¹, cm=ab²m, dm=ab⁴m, em=ab⁵m, fm=b⁶m, gm=ab⁷m, hm=b⁸m, im=ab⁹m, jm=ab²¹, km=b²², lm=ab²¹, m²=b²², b⁹n=ab⁸m, cn=ab²n, dn=ab⁴n, en=ab⁵n, fn=b⁶n, gn=ab⁷n, hn=b⁸n, in=b⁸m, jn=ab⁹m, kn=ab²¹, ln=b²², mn=ab²¹, n²=b²², b⁸o=ab⁷n, co=ab²o, do=ab⁴o, eo=ab⁵o, fo=b⁶o, go=ab⁷o, ho=ab⁷n, io=b⁸n, jo=b⁸m, ko=ab⁹m, lo=ab²¹, mo=b²², no=ab²¹, o²=b²², b⁷p=ab⁶o, cp=ab²p, dp=ab⁴p, ep=ab⁵p, fp=b⁶p, gp=b⁶o, hp=ab⁷o, ip=ab⁷n, jp=b⁸n, kp=b⁸m, lp=ab⁹m, mp=ab²¹, np=b²², op=ab²¹, p²=b²², b⁶q=ab⁵p, cq=ab²q, dq=ab⁴q, eq=ab⁵q, fq=ab⁵p, gq=b⁶p, hq=b⁶o, iq=ab⁷o, jq=ab⁷n, kq=b⁸n, lq=b⁸m, mq=ab⁹m, nq=ab²¹, oq=b²², pq=ab²¹, q²=b²², b⁵r=ab⁴q, cr=ab²r, dr=ab⁴r, er=b⁴q, fr=ab⁵q, gr=ab⁵p, hr=b⁶p, ir=b⁶o, jr=ab⁷o, kr=ab⁷n, lr=b⁸n, mr=b⁸m, nr=ab⁹m, or=ab²¹, pr=b²², qr=ab²¹, r²=b²², b⁴s=ab³r, cs=ab²s, ds=b³r, es=b⁴r, fs=b⁴q, gs=ab⁵q, hs=ab⁵p, is=b⁶p, js=b⁶o, ks=ab⁷o, ls=ab⁷n, ms=b⁸n, ns=b⁸m, os=ab⁹m, ps=ab²¹, qs=b²², rs=ab²¹, s²=b²², b³t=ab²s, ct=ab²t, dt=b³s, et=ab³r, ft=b⁴r, gt=b⁴q, ht=ab⁵q, it=ab⁵p, jt=b⁶p, kt=b⁶o, lt=ab⁷o, mt=ab⁷n, nt=b⁸n, ot=b⁸m, pt=ab⁹m, qt=ab²¹, rt=b²², st=ab²¹, t²=b²², b²u=abt, cu=bt, du=ab²s, eu=ab³s, fu=ab³r, gu=b⁴r, hu=b⁴q, iu=ab⁵q, ju=ab⁵p, ku=b⁶p, lu=b⁶o, mu=ab⁷o, nu=ab⁷n, ou=b⁸n, pu=b⁸m, qu=ab⁹m, ru=ab²¹, su=b²², tu=ab²¹, u²=b²², bv=au, cv=bu, dv=ab²t, ev=b²s, fv=ab³s, gv=ab³r, hv=b⁴r, iv=b⁴q, jv=ab⁵q, kv=ab⁵p, lv=b⁶p, mv=b⁶o, nv=ab⁷o, ov=ab⁷n, pv=b⁸n, qv=b⁸m, rv=ab⁹m, sv=ab²¹, tv=b²², uv=ab²¹, v²=b²², bw=av, cw=au, dw=bt, ew=b²t, fw=b²s, gw=ab³s, hw=ab³r, iw=b⁴r, jw=b⁴q, kw=ab⁵q, lw=ab⁵p, mw=b⁶p, nw=b⁶o, ow=ab⁷o, pw=ab⁷n, qw=b⁸n, rw=b⁸m, sw=ab⁹m, tw=ab²¹, uw=b²², vw=ab²¹, w²=b²², bx=aw, cx=av, dx=bu, ex=abt, fx=b²t, gx=b²s, hx=ab³s, ix=ab³r, jx=b⁴r, kx=b⁴q, lx=ab⁵q, mx=ab⁵p, nx=b⁶p, ox=b⁶o, px=ab⁷o, qx=ab⁷n, rx=b⁸n, sx=b⁸m, tx=ab⁹m, ux=ab²¹, vx=b²², wx=ab²¹, x²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², e, abf, g, b²g, abh, ab³h, i, b²i, b⁴i, abj, ab³j, ab⁵j, k, b²k, b⁴k, b⁶k, abl, ab³l, ab⁵l, ab⁷l, m, b²m, b⁴m, b⁶m, b⁸m, abn, ab³n, ab⁵n, ab⁷n, o, b²o, b⁴o, b⁶o, abp, ab³p, ab⁵p, q, b²q, b⁴q, abr, ab³r, s, b²s, abt, u, w}

Phi = 1 a 1 b ab a 1 b ab c ac b³ ab³ d ad b⁵ e ab⁶ f b⁷ g ab⁸ h b⁹ i ab¹⁰ j b¹¹ k ab¹² l b¹³ m ab¹⁴ n b¹⁵ o ab¹⁶ p b¹⁷ q ab¹⁸ r b¹⁹ s ab²⁰ t b²¹ u ab²² v b²¹ w ab²² x b²¹

Monoid Structure