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 Q₅₀(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 | a²=1, b²¹=b¹⁹, 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=ab¹⁹, k²=b²⁰, b⁹l=b¹⁹, cl=ab²l, dl=ab⁴l, el=ab⁵l, fl=b⁶l, gl=ab⁷l, hl=b⁸l, il=ab¹⁹, jl=b²⁰, kl=ab¹⁹, l²=b²⁰, b⁸m=ab⁷l, cm=ab²m, dm=ab⁴m, em=ab⁵m, fm=b⁶m, gm=ab⁷m, hm=ab⁷l, im=b⁸l, jm=ab¹⁹, km=b²⁰, lm=ab¹⁹, m²=b²⁰, b⁷n=ab⁶m, cn=ab²n, dn=ab⁴n, en=ab⁵n, fn=b⁶n, gn=b⁶m, hn=ab⁷m, in=ab⁷l, jn=b⁸l, kn=ab¹⁹, ln=b²⁰, mn=ab¹⁹, n²=b²⁰, b⁶o=ab⁵n, co=ab²o, do=ab⁴o, eo=ab⁵o, fo=ab⁵n, go=b⁶n, ho=b⁶m, io=ab⁷m, jo=ab⁷l, ko=b⁸l, lo=ab¹⁹, mo=b²⁰, no=ab¹⁹, o²=b²⁰, b⁵p=ab⁴o, cp=ab²p, dp=ab⁴p, ep=b⁴o, fp=ab⁵o, gp=ab⁵n, hp=b⁶n, ip=b⁶m, jp=ab⁷m, kp=ab⁷l, lp=b⁸l, mp=ab¹⁹, np=b²⁰, op=ab¹⁹, p²=b²⁰, b⁴q=ab³p, cq=ab²q, dq=b³p, eq=b⁴p, fq=b⁴o, gq=ab⁵o, hq=ab⁵n, iq=b⁶n, jq=b⁶m, kq=ab⁷m, lq=ab⁷l, mq=b⁸l, nq=ab¹⁹, oq=b²⁰, pq=ab¹⁹, q²=b²⁰, b³r=ab²q, cr=ab²r, dr=b³q, er=ab³p, fr=b⁴p, gr=b⁴o, hr=ab⁵o, ir=ab⁵n, jr=b⁶n, kr=b⁶m, lr=ab⁷m, mr=ab⁷l, nr=b⁸l, or=ab¹⁹, pr=b²⁰, qr=ab¹⁹, r²=b²⁰, b²s=abr, cs=br, ds=ab²q, es=ab³q, fs=ab³p, gs=b⁴p, hs=b⁴o, is=ab⁵o, js=ab⁵n, ks=b⁶n, ls=b⁶m, ms=ab⁷m, ns=ab⁷l, os=b⁸l, ps=ab¹⁹, qs=b²⁰, rs=ab¹⁹, s²=b²⁰, bt=as, ct=bs, dt=ab²r, et=b²q, ft=ab³q, gt=ab³p, ht=b⁴p, it=b⁴o, jt=ab⁵o, kt=ab⁵n, lt=b⁶n, mt=b⁶m, nt=ab⁷m, ot=ab⁷l, pt=b⁸l, qt=ab¹⁹, rt=b²⁰, st=ab¹⁹, t²=b²⁰, bu=at, cu=as, du=br, eu=b²r, fu=b²q, gu=ab³q, hu=ab³p, iu=b⁴p, ju=b⁴o, ku=ab⁵o, lu=ab⁵n, mu=b⁶n, nu=b⁶m, ou=ab⁷m, pu=ab⁷l, qu=b⁸l, ru=ab¹⁹, su=b²⁰, tu=ab¹⁹, u²=b²⁰, bv=au, cv=at, dv=bs, ev=abr, fv=b²r, gv=b²q, hv=ab³q, iv=ab³p, jv=b⁴p, kv=b⁴o, lv=ab⁵o, mv=ab⁵n, nv=b⁶n, ov=b⁶m, pv=ab⁷m, qv=ab⁷l, rv=b⁸l, sv=ab¹⁹, tv=b²⁰, uv=ab¹⁹, v²=b²⁰>

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

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 b¹⁹ u ab²⁰ v b¹⁹

Monoid Structure