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 Q₆₄(0.3052):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a²=1, b¹²=b¹⁰, b¹⁰c=ab¹⁰, b⁶c²=b¹⁰, c³=ab²c², b⁷d=ab⁸c, cd=abc², d²=b²c², be=ac², ce=bc², de=ab²c², e²=b²c², b⁸f=b⁸c, cf=b²c², df=ab³c², ef=b³c², f²=b⁴c², b²g=ab³f, cg=ab³c², dg=b⁴c², eg=ab⁴c², fg=ab⁵c², g²=b¹⁰, b²h=ab³c², c²h=ab⁵c², dh=abch, eh=b⁴c², gh=abfh, h²=b¹⁰, b⁶i=b⁸c, ci=b⁴c², di=ab⁵c², ei=b⁵c², fi=b¹⁰, gi=ab¹¹, hi=b¹¹, i²=b¹⁰, b³j=ab³i, cj=abch, dj=b⁵c², ej=ab⁵c², fj=ab¹⁰, gj=b¹¹, hj=ab¹¹, ij=ab¹⁰, j²=b¹⁰, b⁴k=b⁵i, bck=bfh, c²k=ab¹¹, dk=abfh, ek=bfh, fk=b¹¹, gk=ab¹⁰, hk=b¹⁰, ik=b¹¹, jk=ab¹¹, k²=b¹⁰, b⁴l=ab¹¹, b³cl=bfh, c²l=ab¹¹, bdl=ab²cl, el=b¹⁰, bfl=bcl, gl=abcl, hl=b¹⁰, il=b²cl, jl=ab²cl, kl=bfh, l²=b¹⁰, bm=ack, cm=bfh, dm=ab¹¹, em=b¹¹, fm=b¹⁰, gm=ab¹¹, hm=b¹¹, im=b¹⁰, jm=ab¹⁰, km=b¹¹, lm=b¹¹, m²=b¹⁰, b⁴n=bfh, cn=ab²n, dn=b³n, en=ab³n, fn=abfh, gn=b¹¹, hn=ab¹¹, in=ab¹⁰, jn=b¹⁰, kn=ab¹¹, ln=ab¹¹, mn=ab¹⁰, n²=b¹⁰, b⁵o=b⁹c, co=b²n, do=ab³n, eo=b³n, fo=bfh, go=ab¹¹, ho=b¹¹, io=b¹⁰, jo=ab¹⁰, ko=b¹¹, lo=b¹¹, mo=b¹⁰, no=ab¹⁰, o²=b¹⁰, b³p=ab²n, cp=ab²p, dp=ab²n, ep=b²n, fp=b³n, gp=abfh, hp=bfh, ip=b¹¹, jp=ab¹¹, kp=b¹⁰, lp=b¹⁰, mp=b¹¹, np=ab¹¹, op=b¹¹, p²=b¹⁰, b⁵q=b³l, b²cq=fl, c²q=ab¹¹, b²dq=dl, eq=b¹⁰, fq=cq, gq=abcq, hq=b¹⁰, iq=abdq, jq=bdq, kq=adl, lq=b¹⁰, mq=b¹¹, nq=ab¹¹, oq=b²cl, pq=b¹⁰, q²=b¹⁰, b²r=abp, cr=bp, dr=ab²p, er=b²p, fr=ab²n, gr=b³n, hr=ab³n, ir=abfh, jr=bfh, kr=ab¹¹, lr=ab¹¹, mr=ab¹⁰, nr=b¹⁰, or=ab¹⁰, pr=ab¹¹, qr=ab¹¹, r²=b¹⁰, bs=ar, cs=br, ds=bp, es=abp, fs=ab²p, gs=ab²n, hs=b²n, is=b³n, js=ab³n, ks=bfh, ls=bfh, ms=b¹¹, ns=ab¹¹, os=b¹¹, ps=b¹⁰, qs=b¹⁰, rs=ab¹¹, s²=b¹⁰, b³t=bq, b²ct=cq, c²t=ab¹¹, b²dt=dq, et=b¹⁰, ft=ct, gt=abct, ht=b¹⁰, it=abdt, jt=bdt, kt=adq, lt=b¹⁰, mt=b¹¹, nt=ab¹¹, ot=abdq, pt=b¹⁰, qt=b¹⁰, rt=ab¹¹, st=b¹⁰, t²=b¹⁰, bu=as, cu=ar, du=br, eu=abr, fu=bp, gu=ab²p, hu=b²p, iu=ab²n, ju=b²n, ku=ab³n, lu=ab³n, mu=abfh, nu=bfh, ou=abfh, pu=ab¹¹, qu=ab¹¹, ru=b¹⁰, su=ab¹¹, tu=ab¹¹, u²=b¹⁰, bv=au, cv=as, dv=ar, ev=r, fv=br, gv=bp, hv=abp, iv=ab²p, jv=b²p, kv=b²n, lv=b²n, mv=b³n, nv=ab³n, ov=b³n, pv=bfh, qv=bfh, rv=ab¹¹, sv=b¹⁰, tv=b¹⁰, uv=ab¹¹, v²=b¹⁰, b²w=t, c²w=ab¹¹, ew=b¹⁰, fw=cw, gw=abcw, hw=b¹⁰, iw=abdw, jw=bdw, kw=adt, lw=b¹⁰, mw=b¹¹, nw=ab¹¹, ow=abdt, pw=b¹⁰, qw=b¹⁰, rw=ab¹¹, sw=b¹⁰, tw=b¹⁰, uw=ab¹¹, vw=b¹⁰, w²=b¹⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, ab²c, ab⁴c, ab⁶c, ab⁸c, c², b²c², b⁴c², bd, b³d, b⁵d, ab²f, ab⁴f, ab⁶f, ag, bh, ab²i, ab⁴i, abj, k, b²k, ack, abl, b³l, adl, abn, ab³n, bo, b³o, p, b²p, abq, ab³q, bcq, adq, abr, s, abt, bct, adt, v, abw, bcw, adw}

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 b⁴c² bn p ap q bp r ar b¹⁰ br s as t ar u au b¹⁰ as v av w au

Monoid Structure