Details Page for 0.7053

Complete Solution is Known:

MSV File: q-0.7053.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₇(0.7053):

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, b²²=b²⁰, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=b⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=ab³g, eg=ab⁴g, fg=b¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=ab⁴h, fh=ab⁵h, gh=b¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=ab³i, ei=ab⁴i, fi=ab⁵i, gi=ab⁶i, hi=b¹⁵, i²=b¹⁶, b⁸j=ab¹⁷, cj=ab²j, dj=ab³j, ej=ab⁴j, fj=ab⁵j, gj=ab⁶j, hj=ab⁷j, ij=b¹⁷, j²=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=ab³k, ek=ab⁴k, fk=ab⁵k, gk=ab⁶k, hk=ab⁷k, ik=ab⁸k, jk=b¹⁹, k²=b²⁰, b¹⁰l=ab²¹, cl=ab²l, dl=ab³l, el=ab⁴l, fl=ab⁵l, gl=ab⁶l, hl=ab⁷l, il=ab⁸l, jl=ab⁹l, kl=b²¹, l²=b²⁰, b¹⁰m=b⁹l, cm=ab²m, dm=ab³m, em=ab⁴m, fm=ab⁵m, gm=ab⁶m, hm=ab⁷m, im=ab⁸m, jm=ab⁹m, km=ab⁹l, lm=b²¹, m²=b²⁰, b⁹n=b⁸m, cn=ab²n, dn=ab³n, en=ab⁴n, fn=ab⁵n, gn=ab⁶n, hn=ab⁷n, in=ab⁸n, jn=ab⁸m, kn=ab⁹m, ln=ab⁹l, mn=b²¹, n²=b²⁰, b⁸o=b⁷n, co=ab²o, do=ab³o, eo=ab⁴o, fo=ab⁵o, go=ab⁶o, ho=ab⁷o, io=ab⁷n, jo=ab⁸n, ko=ab⁸m, lo=ab⁹m, mo=ab⁹l, no=b²¹, o²=b²⁰, b⁷p=b⁶o, cp=ab²p, dp=ab³p, ep=ab⁴p, fp=ab⁵p, gp=ab⁶p, hp=ab⁶o, ip=ab⁷o, jp=ab⁷n, kp=ab⁸n, lp=ab⁸m, mp=ab⁹m, np=ab⁹l, op=b²¹, p²=b²⁰, b⁶q=b⁵p, cq=ab²q, dq=ab³q, eq=ab⁴q, fq=ab⁵q, gq=ab⁵p, hq=ab⁶p, iq=ab⁶o, jq=ab⁷o, kq=ab⁷n, lq=ab⁸n, mq=ab⁸m, nq=ab⁹m, oq=ab⁹l, pq=b²¹, q²=b²⁰, b⁵r=b⁴q, cr=ab²r, dr=ab³r, er=ab⁴r, fr=ab⁴q, gr=ab⁵q, hr=ab⁵p, ir=ab⁶p, jr=ab⁶o, kr=ab⁷o, lr=ab⁷n, mr=ab⁸n, nr=ab⁸m, or=ab⁹m, pr=ab⁹l, qr=b²¹, r²=b²⁰, b⁴s=b³r, cs=ab²s, ds=ab³s, es=ab³r, fs=ab⁴r, gs=ab⁴q, hs=ab⁵q, is=ab⁵p, js=ab⁶p, ks=ab⁶o, ls=ab⁷o, ms=ab⁷n, ns=ab⁸n, os=ab⁸m, ps=ab⁹m, qs=ab⁹l, rs=b²¹, s²=b²⁰, b³t=b²s, ct=ab²t, dt=ab²s, et=ab³s, ft=ab³r, gt=ab⁴r, ht=ab⁴q, it=ab⁵q, jt=ab⁵p, kt=ab⁶p, lt=ab⁶o, mt=ab⁷o, nt=ab⁷n, ot=ab⁸n, pt=ab⁸m, qt=ab⁹m, rt=ab⁹l, st=b²¹, t²=b²⁰, b²u=bt, cu=abt, du=ab²t, eu=ab²s, fu=ab³s, gu=ab³r, hu=ab⁴r, iu=ab⁴q, ju=ab⁵q, ku=ab⁵p, lu=ab⁶p, mu=ab⁶o, nu=ab⁷o, ou=ab⁷n, pu=ab⁸n, qu=ab⁸m, ru=ab⁹m, su=ab⁹l, tu=b²¹, u²=b²⁰, bv=u, cv=abu, dv=abt, ev=ab²t, fv=ab²s, gv=ab³s, hv=ab³r, iv=ab⁴r, jv=ab⁴q, kv=ab⁵q, lv=ab⁵p, mv=ab⁶p, nv=ab⁶o, ov=ab⁷o, pv=ab⁷n, qv=ab⁸n, rv=ab⁸m, sv=ab⁹m, tv=ab⁹l, uv=b²¹, v²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, ab⁵i, aj, ab²j, ab⁴j, ab⁶j, abk, ab³k, ab⁵k, ab⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, abm, ab³m, ab⁵m, ab⁷m, ab⁹m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, abo, ab³o, ab⁵o, ab⁷o, ap, ab²p, ab⁴p, ab⁶p, abq, ab³q, ab⁵q, ar, ab²r, ab⁴r, abs, ab³s, at, ab²t, abu, av}

Phi = 1 a 1 a b ab b ab 1 c ac c b ab³ b³ d b² bd b⁴ e b³ be b⁵ f b⁴ bf b⁶ g b⁵ bg b⁷ h b⁶ bh b⁸ i b⁷ bi b⁹ j b⁸ bj b¹⁰ k b⁹ bk b¹¹ l b¹⁰ bl b¹² m b¹¹ bm b¹³ n b¹² bn b¹⁴ o b¹³ bo b¹⁵ p b¹⁴ bp b¹⁶ q b¹⁵ bq b¹⁷ r b¹⁶ br b¹⁸ s b¹⁷ bs b¹⁹ t b¹⁸ bt b²⁰ u b¹⁹ bu b²¹ v b²⁰ u b²⁰

Monoid Structure