Details Page for 0.3571

Complete Solution is Known:

MSV File: q-0.3571.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₅(0.3571):

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, b²d=b⁵, cd=ab⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=b⁹, cf=ab²f, df=b³f, ef=ab⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=b³g, eg=ab⁴g, fg=ab¹¹, g²=b¹², b⁶h=b¹³, ch=ab²h, dh=b³h, eh=ab⁴h, fh=b⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=b³i, ei=ab⁴i, fi=b⁵i, gi=ab⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=ab²j, dj=b³j, ej=ab⁴j, fj=b⁵j, gj=ab⁶j, hj=b⁷j, ij=ab¹⁷, j²=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=b³k, ek=ab⁴k, fk=b⁵k, gk=ab⁶k, hk=b⁷k, ik=ab⁸k, jk=ab¹⁹, k²=b²⁰, b¹⁰l=b¹⁹, cl=ab²l, dl=b³l, el=ab⁴l, fl=b⁵l, gl=ab⁶l, hl=b⁷l, il=ab⁸l, jl=b⁹l, kl=ab¹⁹, l²=b²⁰, b⁹m=ab⁸l, cm=ab²m, dm=b³m, em=ab⁴m, fm=b⁵m, gm=ab⁶m, hm=b⁷m, im=ab⁸m, jm=ab⁸l, km=b⁹l, lm=ab¹⁹, m²=b²⁰, b⁸n=ab⁷m, cn=ab²n, dn=b³n, en=ab⁴n, fn=b⁵n, gn=ab⁶n, hn=b⁷n, in=b⁷m, jn=ab⁸m, kn=ab⁸l, ln=b⁹l, mn=ab¹⁹, n²=b²⁰, b⁷o=ab⁶n, co=ab²o, do=b³o, eo=ab⁴o, fo=b⁵o, go=ab⁶o, ho=ab⁶n, io=b⁷n, jo=b⁷m, ko=ab⁸m, lo=ab⁸l, mo=b⁹l, no=ab¹⁹, o²=b²⁰, b⁶p=ab⁵o, cp=ab²p, dp=b³p, ep=ab⁴p, fp=b⁵p, gp=b⁵o, hp=ab⁶o, ip=ab⁶n, jp=b⁷n, kp=b⁷m, lp=ab⁸m, mp=ab⁸l, np=b⁹l, op=ab¹⁹, p²=b²⁰, b⁵q=ab⁴p, cq=ab²q, dq=b³q, eq=ab⁴q, fq=ab⁴p, gq=b⁵p, hq=b⁵o, iq=ab⁶o, jq=ab⁶n, kq=b⁷n, lq=b⁷m, mq=ab⁸m, nq=ab⁸l, oq=b⁹l, pq=ab¹⁹, q²=b²⁰, b⁴r=ab³q, cr=ab²r, dr=b³r, er=b³q, fr=ab⁴q, gr=ab⁴p, hr=b⁵p, ir=b⁵o, jr=ab⁶o, kr=ab⁶n, lr=b⁷n, mr=b⁷m, nr=ab⁸m, or=ab⁸l, pr=b⁹l, qr=ab¹⁹, r²=b²⁰, b³s=ab²r, cs=ab²s, ds=ab²r, es=b³r, fs=b³q, gs=ab⁴q, hs=ab⁴p, is=b⁵p, js=b⁵o, ks=ab⁶o, ls=ab⁶n, ms=b⁷n, ns=b⁷m, os=ab⁸m, ps=ab⁸l, qs=b⁹l, rs=ab¹⁹, s²=b²⁰, b²t=abs, ct=bs, dt=ab²s, et=ab²r, ft=b³r, gt=b³q, ht=ab⁴q, it=ab⁴p, jt=b⁵p, kt=b⁵o, lt=ab⁶o, mt=ab⁶n, nt=b⁷n, ot=b⁷m, pt=ab⁸m, qt=ab⁸l, rt=b⁹l, st=ab¹⁹, t²=b²⁰, bu=at, cu=bt, du=bs, eu=ab²s, fu=ab²r, gu=b³r, hu=b³q, iu=ab⁴q, ju=ab⁴p, ku=b⁵p, lu=b⁵o, mu=ab⁶o, nu=ab⁶n, ou=b⁷n, pu=b⁷m, qu=ab⁸m, ru=ab⁸l, su=b⁹l, tu=ab¹⁹, u²=b²⁰, v=u>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, b⁵i, aj, ab²j, ab⁴j, ab⁶j, bk, b³k, b⁵k, b⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, bm, b³m, b⁵m, b⁷m, an, ab²n, ab⁴n, ab⁶n, bo, b³o, b⁵o, ap, ab²p, ab⁴p, bq, b³q, ar, ab²r, bs, at}

Phi = 1 a b a b a b c b c b³ c b³ abd d abd abe e abe abf f abf abg g abg abh h abh abi i abi abj j abj abk k abk abl l abl abm m abm abn n abn abo o abo abp p abp abq q abq abr r abr abs s abs abt t abt t u t u

Monoid Structure