Details Page for 0.3052

Complete Solution is Known:

MSV File: q-0.3052.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₈(0.3052):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b¹¹=b⁹, b⁸c=ab¹⁰, b⁴c²=b⁸, c³=ab²c², b⁵d=ab⁶c, cd=abc², d²=b²c², be=ac², ce=bc², de=ab²c², e²=b²c², b⁷f=b⁷c, cf=b²c², df=ab³c², ef=b³c², f²=b⁸, b²g=ab³f, cg=ab³c², dg=b⁸, eg=ab⁸, fg=ab⁹, g²=b¹⁰, b²h=ab³c², c²h=ab⁹, dh=abch, eh=b⁸, gh=abfh, h²=b¹⁰, b⁴i=b⁶f, ci=b⁸, di=ab⁹, ei=b⁹, fi=b¹⁰, gi=ab⁹, hi=b⁹, i²=b¹⁰, b³j=ab³i, cj=abch, dj=b⁹, ej=ab⁹, fj=ab¹⁰, gj=b⁹, hj=ab⁹, ij=ab¹⁰, j²=b¹⁰, b⁴k=b⁷c, bck=bfh, c²k=ab⁹, dk=abfh, ek=bfh, fk=b⁹, gk=ab¹⁰, hk=b¹⁰, ik=b⁹, jk=ab⁹, k²=b¹⁰, b⁴l=ab⁹, b²cl=fh, c²l=ab⁹, bdl=afh, el=b¹⁰, fl=cl, gl=abcl, hl=b¹⁰, il=fh, jl=afh, kl=bfh, l²=b¹⁰, bm=ack, cm=bfh, dm=ab⁹, em=b⁹, fm=b¹⁰, gm=ab⁹, hm=b⁹, im=b¹⁰, jm=ab¹⁰, km=b⁹, lm=b⁹, m²=b¹⁰, b³n=ck, cn=ab²n, dn=ck, en=ack, fn=abfh, gn=b⁹, hn=ab⁹, in=ab¹⁰, jn=b¹⁰, kn=ab⁹, ln=ab⁹, mn=ab¹⁰, n²=b¹⁰, b⁴o=abfh, co=b²n, do=ack, eo=ck, fo=bfh, go=ab⁹, ho=b⁹, io=b¹⁰, jo=ab¹⁰, ko=b⁹, lo=b⁹, mo=b¹⁰, no=ab¹⁰, o²=b¹⁰, b²p=abn, cp=bn, dp=ab²n, ep=b²n, fp=ck, gp=abfh, hp=bfh, ip=b⁹, jp=ab⁹, kp=b¹⁰, lp=b¹⁰, mp=b⁹, np=ab⁹, op=b⁹, p²=b¹⁰, b⁴q=b²l, b²cq=cl, c²q=ab⁹, b²dq=dl, eq=b¹⁰, fq=cq, gq=abcq, hq=b¹⁰, iq=abdq, jq=bdq, kq=adl, lq=b¹⁰, mq=b⁹, nq=ab⁹, oq=fh, pq=b¹⁰, q²=b¹⁰, br=ap, cr=bp, dr=bn, er=abn, fr=ab²n, gr=ck, hr=ack, ir=abfh, jr=bfh, kr=ab⁹, lr=ab⁹, mr=ab¹⁰, nr=b¹⁰, or=ab¹⁰, pr=ab⁹, qr=ab⁹, r²=b¹⁰, bs=ar, cs=ap, ds=bp, es=abp, fs=bn, gs=ab²n, hs=b²n, is=ck, js=ack, ks=bfh, ls=bfh, ms=b⁹, ns=ab⁹, os=b⁹, ps=b¹⁰, qs=b¹⁰, rs=ab⁹, s²=b¹⁰, b²t=q, c²t=ab⁹, et=b¹⁰, ft=ct, gt=abct, ht=b¹⁰, it=abdt, jt=bdt, kt=adq, lt=b¹⁰, mt=b⁹, nt=ab⁹, ot=abdq, pt=b¹⁰, qt=b¹⁰, rt=ab⁹, st=b¹⁰, t²=b¹⁰, bu=as, cu=ar, du=ap, eu=p, fu=bp, gu=bn, hu=abn, iu=ab²n, ju=b²n, ku=ack, lu=ack, mu=abfh, nu=bfh, ou=abfh, pu=ab⁹, qu=ab⁹, ru=b¹⁰, su=ab⁹, tu=ab⁹, u²=b¹⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, ab²c, ab⁴c, ab⁶c, c², b²c², bd, b³d, ab²f, ab⁴f, ab⁶f, ag, bh, ab²i, abj, k, b²k, ack, abl, b³l, adl, abn, bo, b³o, p, abq, ab³q, bcq, adq, s, abt, bct, adt}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b² d ad d e f af f c² g ag g h i j aj b²c² bj k ak l m n o b⁸ bn p ap q bp r ar b¹⁰ ap s as t ar u au b¹⁰ as

Monoid Structure