Details Page for 0.3271

Complete Solution is Known:

MSV File: q-0.3271.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₀(0.3271):

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, b²³=b²¹, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=b⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=ab⁹, f²=b¹⁰, b⁵g=b¹¹, cg=ab²g, dg=ab³g, eg=b⁴g, fg=ab¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=b⁴h, fh=ab⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=b¹⁵, ci=ab²i, di=ab³i, ei=b⁴i, fi=ab⁵i, gi=b⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=ab¹⁷, cj=ab²j, dj=ab³j, ej=b⁴j, fj=ab⁵j, gj=b⁶j, hj=ab⁷j, ij=ab¹⁷, j²=b¹⁸, b⁹k=b¹⁹, ck=ab²k, dk=ab³k, ek=b⁴k, fk=ab⁵k, gk=b⁶k, hk=ab⁷k, ik=b⁸k, jk=ab¹⁹, k²=b²⁰, b¹⁰l=ab²¹, cl=ab²l, dl=ab³l, el=b⁴l, fl=ab⁵l, gl=b⁶l, hl=ab⁷l, il=b⁸l, jl=ab⁹l, kl=ab²¹, l²=b²², b¹¹m=b²¹, cm=ab²m, dm=ab³m, em=b⁴m, fm=ab⁵m, gm=b⁶m, hm=ab⁷m, im=b⁸m, jm=ab⁹m, km=b¹⁰m, lm=ab²¹, m²=b²², b¹⁰n=ab⁹m, cn=ab²n, dn=ab³n, en=b⁴n, fn=ab⁵n, gn=b⁶n, hn=ab⁷n, in=b⁸n, jn=ab⁹n, kn=ab⁹m, ln=b¹⁰m, mn=ab²¹, n²=b²², b⁹o=ab⁸n, co=ab²o, do=ab³o, eo=b⁴o, fo=ab⁵o, go=b⁶o, ho=ab⁷o, io=b⁸o, jo=b⁸n, ko=ab⁹n, lo=ab⁹m, mo=b¹⁰m, no=ab²¹, o²=b²², b⁸p=ab⁷o, cp=ab²p, dp=ab³p, ep=b⁴p, fp=ab⁵p, gp=b⁶p, hp=ab⁷p, ip=ab⁷o, jp=b⁸o, kp=b⁸n, lp=ab⁹n, mp=ab⁹m, np=b¹⁰m, op=ab²¹, p²=b²², b⁷q=ab⁶p, cq=ab²q, dq=ab³q, eq=b⁴q, fq=ab⁵q, gq=b⁶q, hq=b⁶p, iq=ab⁷p, jq=ab⁷o, kq=b⁸o, lq=b⁸n, mq=ab⁹n, nq=ab⁹m, oq=b¹⁰m, pq=ab²¹, q²=b²², b⁶r=ab⁵q, cr=ab²r, dr=ab³r, er=b⁴r, fr=ab⁵r, gr=ab⁵q, hr=b⁶q, ir=b⁶p, jr=ab⁷p, kr=ab⁷o, lr=b⁸o, mr=b⁸n, nr=ab⁹n, or=ab⁹m, pr=b¹⁰m, qr=ab²¹, r²=b²², b⁵s=ab⁴r, cs=ab²s, ds=ab³s, es=b⁴s, fs=b⁴r, gs=ab⁵r, hs=ab⁵q, is=b⁶q, js=b⁶p, ks=ab⁷p, ls=ab⁷o, ms=b⁸o, ns=b⁸n, os=ab⁹n, ps=ab⁹m, qs=b¹⁰m, rs=ab²¹, s²=b²², b⁴t=ab³s, ct=ab²t, dt=ab³t, et=ab³s, ft=b⁴s, gt=b⁴r, ht=ab⁵r, it=ab⁵q, jt=b⁶q, kt=b⁶p, lt=ab⁷p, mt=ab⁷o, nt=b⁸o, ot=b⁸n, pt=ab⁹n, qt=ab⁹m, rt=b¹⁰m, st=ab²¹, t²=b²², b³u=ab²t, cu=ab²u, du=b²t, eu=ab³t, fu=ab³s, gu=b⁴s, hu=b⁴r, iu=ab⁵r, ju=ab⁵q, ku=b⁶q, lu=b⁶p, mu=ab⁷p, nu=ab⁷o, ou=b⁸o, pu=b⁸n, qu=ab⁹n, ru=ab⁹m, su=b¹⁰m, tu=ab²¹, u²=b²², b²v=abu, cv=bu, dv=b²u, ev=b²t, fv=ab³t, gv=ab³s, hv=b⁴s, iv=b⁴r, jv=ab⁵r, kv=ab⁵q, lv=b⁶q, mv=b⁶p, nv=ab⁷p, ov=ab⁷o, pv=b⁸o, qv=b⁸n, rv=ab⁹n, sv=ab⁹m, tv=b¹⁰m, uv=ab²¹, v²=b²², bw=av, cw=bv, dw=abu, ew=b²u, fw=b²t, gw=ab³t, hw=ab³s, iw=b⁴s, jw=b⁴r, kw=ab⁵r, lw=ab⁵q, mw=b⁶q, nw=b⁶p, ow=ab⁷p, pw=ab⁷o, qw=b⁸o, rw=b⁸n, sw=ab⁹n, tw=ab⁹m, uw=b¹⁰m, vw=ab²¹, w²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², d, abe, f, b²f, abg, ab³g, h, b²h, b⁴h, abi, ab³i, ab⁵i, j, b²j, b⁴j, b⁶j, abk, ab³k, ab⁵k, ab⁷k, l, b²l, b⁴l, b⁶l, b⁸l, abm, ab³m, ab⁵m, ab⁷m, ab⁹m, n, b²n, b⁴n, b⁶n, b⁸n, abo, ab³o, ab⁵o, ab⁷o, p, b²p, b⁴p, b⁶p, abq, ab³q, ab⁵q, r, b²r, b⁴r, abs, ab³s, t, b²t, abu, v}

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

Monoid Structure