Details Page for 0.7073

Complete Solution is Known:

MSV File: q-0.7073.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₃(0.7073):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b²¹=b¹⁹, 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=ab¹⁹, cl=ab²l, dl=ab³l, el=ab⁴l, fl=ab⁵l, gl=ab⁶l, hl=ab⁷l, il=ab⁸l, jl=ab⁹l, kl=b¹⁹, l²=b²⁰, b⁹m=b⁸l, cm=ab²m, dm=ab³m, em=ab⁴m, fm=ab⁵m, gm=ab⁶m, hm=ab⁷m, im=ab⁸m, jm=ab⁸l, km=ab⁹l, lm=b¹⁹, m²=b²⁰, b⁸n=b⁷m, cn=ab²n, dn=ab³n, en=ab⁴n, fn=ab⁵n, gn=ab⁶n, hn=ab⁷n, in=ab⁷m, jn=ab⁸m, kn=ab⁸l, ln=ab⁹l, mn=b¹⁹, n²=b²⁰, b⁷o=b⁶n, co=ab²o, do=ab³o, eo=ab⁴o, fo=ab⁵o, go=ab⁶o, ho=ab⁶n, io=ab⁷n, jo=ab⁷m, ko=ab⁸m, lo=ab⁸l, mo=ab⁹l, no=b¹⁹, o²=b²⁰, b⁶p=b⁵o, cp=ab²p, dp=ab³p, ep=ab⁴p, fp=ab⁵p, gp=ab⁵o, hp=ab⁶o, ip=ab⁶n, jp=ab⁷n, kp=ab⁷m, lp=ab⁸m, mp=ab⁸l, np=ab⁹l, op=b¹⁹, p²=b²⁰, b⁵q=b⁴p, cq=ab²q, dq=ab³q, eq=ab⁴q, fq=ab⁴p, gq=ab⁵p, hq=ab⁵o, iq=ab⁶o, jq=ab⁶n, kq=ab⁷n, lq=ab⁷m, mq=ab⁸m, nq=ab⁸l, oq=ab⁹l, pq=b¹⁹, q²=b²⁰, b⁴r=b³q, cr=ab²r, dr=ab³r, er=ab³q, fr=ab⁴q, gr=ab⁴p, hr=ab⁵p, ir=ab⁵o, jr=ab⁶o, kr=ab⁶n, lr=ab⁷n, mr=ab⁷m, nr=ab⁸m, or=ab⁸l, pr=ab⁹l, qr=b¹⁹, r²=b²⁰, b³s=b²r, cs=ab²s, ds=ab²r, es=ab³r, fs=ab³q, gs=ab⁴q, hs=ab⁴p, is=ab⁵p, js=ab⁵o, ks=ab⁶o, ls=ab⁶n, ms=ab⁷n, ns=ab⁷m, os=ab⁸m, ps=ab⁸l, qs=ab⁹l, rs=b¹⁹, s²=b²⁰, b²t=bs, ct=abs, dt=ab²s, et=ab²r, ft=ab³r, gt=ab³q, ht=ab⁴q, it=ab⁴p, jt=ab⁵p, kt=ab⁵o, lt=ab⁶o, mt=ab⁶n, nt=ab⁷n, ot=ab⁷m, pt=ab⁸m, qt=ab⁸l, rt=ab⁹l, st=b¹⁹, t²=b²⁰, bu=t, cu=abt, du=abs, eu=ab²s, fu=ab²r, gu=ab³r, hu=ab³q, iu=ab⁴q, ju=ab⁴p, ku=ab⁵p, lu=ab⁵o, mu=ab⁶o, nu=ab⁶n, ou=ab⁷n, pu=ab⁷m, qu=ab⁸m, ru=ab⁸l, su=ab⁹l, tu=b¹⁹, u²=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, an, ab²n, ab⁴n, ab⁶n, abo, ab³o, ab⁵o, ap, ab²p, ab⁴p, abq, ab³q, ar, ab²r, abs, at}

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 t b¹⁹

Monoid Structure