Details Page for 0.7002

Complete Solution is Known:

MSV File: q-0.7002.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₄(0.7002):

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=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=ab¹⁹, cl=ab²l, dl=ab³l, el=b⁴l, fl=ab⁵l, gl=b⁶l, hl=ab⁷l, il=b⁸l, jl=ab⁹l, kl=ab¹⁹, l²=b²⁰, b⁹m=ab⁸l, cm=ab²m, dm=ab³m, em=b⁴m, fm=ab⁵m, gm=b⁶m, hm=ab⁷m, im=b⁸m, jm=b⁸l, km=ab⁹l, lm=ab¹⁹, m²=b²⁰, b⁸n=ab⁷m, cn=ab²n, dn=ab³n, en=b⁴n, fn=ab⁵n, gn=b⁶n, hn=ab⁷n, in=ab⁷m, jn=b⁸m, kn=b⁸l, ln=ab⁹l, mn=ab¹⁹, n²=b²⁰, b⁷o=ab⁶n, co=ab²o, do=ab³o, eo=b⁴o, fo=ab⁵o, go=b⁶o, ho=b⁶n, io=ab⁷n, jo=ab⁷m, ko=b⁸m, lo=b⁸l, mo=ab⁹l, no=ab¹⁹, o²=b²⁰, b⁶p=ab⁵o, cp=ab²p, dp=ab³p, ep=b⁴p, fp=ab⁵p, gp=ab⁵o, hp=b⁶o, ip=b⁶n, jp=ab⁷n, kp=ab⁷m, lp=b⁸m, mp=b⁸l, np=ab⁹l, op=ab¹⁹, p²=b²⁰, b⁵q=ab⁴p, cq=ab²q, dq=ab³q, eq=b⁴q, fq=b⁴p, gq=ab⁵p, hq=ab⁵o, iq=b⁶o, jq=b⁶n, kq=ab⁷n, lq=ab⁷m, mq=b⁸m, nq=b⁸l, oq=ab⁹l, pq=ab¹⁹, q²=b²⁰, b⁴r=ab³q, cr=ab²r, dr=ab³r, er=ab³q, fr=b⁴q, gr=b⁴p, hr=ab⁵p, ir=ab⁵o, jr=b⁶o, kr=b⁶n, lr=ab⁷n, mr=ab⁷m, nr=b⁸m, or=b⁸l, pr=ab⁹l, qr=ab¹⁹, r²=b²⁰, b³s=ab²r, cs=ab²s, ds=b²r, es=ab³r, fs=ab³q, gs=b⁴q, hs=b⁴p, is=ab⁵p, js=ab⁵o, ks=b⁶o, ls=b⁶n, ms=ab⁷n, ns=ab⁷m, os=b⁸m, ps=b⁸l, qs=ab⁹l, rs=ab¹⁹, s²=b²⁰, b²t=abs, ct=bs, dt=b²s, et=b²r, ft=ab³r, gt=ab³q, ht=b⁴q, it=b⁴p, jt=ab⁵p, kt=ab⁵o, lt=b⁶o, mt=b⁶n, nt=ab⁷n, ot=ab⁷m, pt=b⁸m, qt=b⁸l, rt=ab⁹l, st=ab¹⁹, t²=b²⁰, bu=at, cu=bt, du=abs, eu=b²s, fu=b²r, gu=ab³r, hu=ab³q, iu=b⁴q, ju=b⁴p, ku=ab⁵p, lu=ab⁵o, mu=b⁶o, nu=b⁶n, ou=ab⁷n, pu=ab⁷m, qu=b⁸m, ru=b⁸l, su=ab⁹l, tu=ab¹⁹, u²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, 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, n, b²n, b⁴n, b⁶n, abo, ab³o, ab⁵o, p, b²p, b⁴p, abq, ab³q, r, b²r, abs, t}

Phi = 1 a 1 a 1 b ab b ab a 1 c ac b ab b³ d ab² b² bd e b³ ab³ be f ab⁴ b⁴ bf g b⁵ ab⁵ bg h ab⁶ b⁶ bh i b⁷ ab⁷ bi j ab⁸ b⁸ bj k b⁹ ab⁹ bk l ab¹⁰ b¹⁰ bl m b¹¹ ab¹¹ bm n ab¹² b¹² bn o b¹³ ab¹³ bo p ab¹⁴ b¹⁴ bp q b¹⁵ ab¹⁵ bq r ab¹⁶ b¹⁶ br s b¹⁷ ab¹⁷ bs t ab¹⁸ b¹⁸ bt u b¹⁹ ab¹⁹ at

Monoid Structure