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 Q₆₆(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,x | a²=1, b¹³=b¹¹, b¹⁰c=ab¹², b⁶c²=b¹⁰, c³=ab²c², b⁷d=ab⁸c, cd=abc², d²=b²c², be=ac², ce=bc², de=ab²c², e²=b²c², b⁹f=b⁹c, 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=b⁸f, ci=b⁴c², di=ab⁵c², ei=b⁵c², fi=b¹⁰, gi=ab¹¹, hi=b¹¹, i²=b¹², b³j=ab³i, cj=abch, dj=b⁵c², ej=ab⁵c², fj=ab¹⁰, gj=b¹¹, hj=ab¹¹, ij=ab¹², j²=b¹², b⁴k=b⁵i, bck=bfh, c²k=ab¹¹, dk=abfh, ek=bfh, fk=b¹¹, gk=ab¹², hk=b¹², ik=b¹¹, jk=ab¹¹, k²=b¹², b⁴l=ab¹¹, c²l=ab¹¹, bdl=ab²cl, el=b¹⁰, b²fl=b²cl, gl=abfl, hl=b¹², il=b²cl, jl=ab²cl, kl=b³cl, l²=b¹², bm=ack, cm=bfh, dm=ab¹¹, em=b¹¹, fm=b¹², gm=ab¹¹, hm=b¹¹, im=b¹², jm=ab¹², km=b¹¹, lm=b¹¹, m²=b¹², b⁴n=b³cl, cn=ab²n, dn=b³n, en=ab³n, fn=ab³cl, gn=b¹¹, hn=ab¹¹, in=ab¹², jn=b¹², kn=ab¹¹, ln=ab¹¹, mn=ab¹², n²=b¹², b⁵o=b⁹c, co=b²n, do=ab³n, eo=b³n, fo=b³cl, go=ab¹¹, ho=b¹¹, io=b¹², jo=ab¹², ko=b¹¹, lo=b¹¹, mo=b¹², no=ab¹², o²=b¹², b⁴p=ab³n, cp=ab²p, dp=b³p, ep=ab³p, fp=b³n, gp=ab³cl, hp=b³cl, ip=b¹¹, jp=ab¹¹, kp=b¹², lp=b¹², mp=b¹¹, np=ab¹¹, op=b¹¹, p²=b¹², b⁶q=ab¹¹, b²cq=fl, c²q=ab¹¹, b³dq=ab²cl, eq=b¹², fq=cq, gq=abcq, hq=b¹², iq=abdq, jq=bdq, kq=ab²dq, lq=b¹², mq=b¹¹, nq=ab¹¹, oq=b²cl, pq=b¹², q²=b¹², b³r=ab²p, cr=ab²r, dr=ab²p, er=b²p, fr=b³p, gr=b³n, hr=ab³n, ir=ab³cl, jr=b³cl, kr=ab¹¹, lr=ab¹¹, mr=ab¹², nr=b¹², or=ab¹², pr=ab¹¹, qr=ab¹¹, r²=b¹², b²s=abr, cs=br, ds=ab²r, es=b²r, fs=ab²p, gs=b³p, hs=ab³p, is=b³n, js=ab³n, ks=b³cl, ls=b³cl, ms=b¹¹, ns=ab¹¹, os=b¹¹, ps=b¹², qs=b¹², rs=ab¹¹, s²=b¹², b⁴t=b²q, b²ct=cq, c²t=ab¹¹, b²dt=dq, et=b¹², ft=ct, gt=abct, ht=b¹², it=abdt, jt=bdt, kt=adq, lt=b¹², mt=b¹¹, nt=ab¹¹, ot=abdq, pt=b¹², qt=b¹², rt=ab¹¹, st=b¹², t²=b¹², bu=as, cu=bs, du=br, eu=abr, fu=ab²r, gu=ab²p, hu=b²p, iu=b³p, ju=ab³p, ku=ab³n, lu=ab³n, mu=ab³cl, nu=b³cl, ou=ab³cl, pu=ab¹¹, qu=ab¹¹, ru=b¹², su=ab¹¹, tu=ab¹¹, u²=b¹², bv=au, cv=as, dv=bs, ev=abs, fv=br, gv=ab²r, hv=b²r, iv=ab²p, jv=b²p, kv=ab³p, lv=ab³p, mv=b³n, nv=ab³n, ov=b³n, pv=b³cl, qv=b³cl, rv=ab¹¹, sv=b¹², tv=b¹², uv=ab¹¹, v²=b¹², b²w=t, c²w=ab¹¹, ew=b¹², fw=cw, gw=abcw, hw=b¹², iw=abdw, jw=bdw, kw=adt, lw=b¹², mw=b¹¹, nw=ab¹¹, ow=abdt, pw=b¹², qw=b¹², rw=ab¹¹, sw=b¹², tw=b¹², uw=ab¹¹, vw=b¹², w²=b¹², bx=av, cx=au, dx=as, ex=s, fx=bs, gx=br, hx=abr, ix=ab²r, jx=b²r, kx=b²p, lx=b²p, mx=b³p, nx=ab³p, ox=b³p, px=ab³n, qx=ab³n, rx=b³cl, sx=ab¹¹, tx=ab¹¹, ux=b¹², vx=ab¹¹, wx=ab¹¹, x²=b¹²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², ab²c, ab⁴c, ab⁶c, ab⁸c, c², b²c², b⁴c², bd, b³d, b⁵d, ab²f, ab⁴f, ab⁶f, ab⁸f, ag, bh, ab²i, ab⁴i, abj, k, b²k, ack, abl, b³l, adl, abn, ab³n, bo, b³o, p, b²p, abq, ab³q, b⁵q, bcq, adq, ab²dq, abr, s, abt, ab³t, 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 bs u au b¹² as v av w au x ax b¹² av

Monoid Structure