Details Page for 0.5421

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   576
P-Portion Size:   135
Tame?   No

MSV File: q-0.5421.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
7102
10122
14305
17428
21489
246413
287014
319019
359620
3812026
4212627
4515434
4916035
5219243
5619844
5923453
6324054
6628064
7028665
7333076
7733677
8038489
8439090
87442103
91448104
94504118
98510119
101570134
105576135

(Click on a heap to see details)

Details for Q80(0.5421):

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, b3=b, b2c3=c3, c4=b2c2, bd=ab, cd=ac, d3=ad2, b2ce=ce, c2e=c3, d2e=ade, be2=bc2, ce2=c3, de2=ae2, e3=c3, bf=ab, c3f=ac3, df=af, ef=de, c2f2=e2, f3=af2, cg=ce, dg=ag, eg=ce, f2g=afg, bg2=bc2, fg2=ag2, g3=c3, bh=ab, c3h=ac3, dh=ah, ceh=ace, e2h=c2h, fh=ah, gh=fg, c2h2=g2, h3=ah2, ci=ce, di=ai, ei=ce, fi=ai, gi=ce, h2i=ahi, bi2=bc2, hi2=ai2, i3=c3, bj=ab, c3j=ac3, dj=aj, cej=ace, e2j=c2j, fj=aj, g2j=c2j, hj=aj, ij=hi, c2j2=i2, j3=aj2, ck=ce, dk=ak, ek=ce, fk=ak, gk=ce, hk=ak, ik=ce, j2k=ajk, bk2=bc2, jk2=ak2, k3=c3, bl=ab, c3l=ac3, dl=al, cel=ace, e2l=c2l, fl=al, g2l=c2l, hl=al, i2l=c2l, jl=al, kl=jk, c2l2=k2, l3=al2, cm=ce, dm=am, em=ce, fm=am, gm=ce, hm=am, im=ce, jm=am, km=ce, l2m=alm, bm2=bc2, lm2=am2, m3=c3, bn=ab, c3n=ac3, dn=an, cen=ace, e2n=c2n, fn=an, g2n=c2n, hn=an, i2n=c2n, jn=an, k2n=c2n, ln=an, mn=lm, c2n2=m2, n3=an2, co=ce, do=ao, eo=ce, fo=ao, go=ce, ho=ao, io=ce, jo=ao, ko=ce, lo=ao, mo=ce, n2o=ano, bo2=bc2, no2=ao2, o3=c3, bp=ab, c3p=ac3, dp=ap, cep=ace, e2p=c2p, fp=ap, g2p=c2p, hp=ap, i2p=c2p, jp=ap, k2p=c2p, lp=ap, m2p=c2p, np=ap, op=no, c2p2=o2, p3=ap2, cq=ce, dq=aq, eq=ce, fq=aq, gq=ce, hq=aq, iq=ce, jq=aq, kq=ce, lq=aq, mq=ce, nq=aq, oq=ce, p2q=apq, bq2=bc2, pq2=aq2, q3=c3, br=ab, c3r=ac3, dr=ar, cer=ace, e2r=c2r, fr=ar, g2r=c2r, hr=ar, i2r=c2r, jr=ar, k2r=c2r, lr=ar, m2r=c2r, nr=ar, o2r=c2r, pr=ar, qr=pq, c2r2=q2, r3=ar2, cs=ce, ds=as, es=ce, fs=as, gs=ce, hs=as, is=ce, js=as, ks=ce, ls=as, ms=ce, ns=as, os=ce, ps=as, qs=ce, r2s=ars, bs2=bc2, rs2=as2, s3=c3, bt=ab, c3t=ac3, dt=at, cet=ace, e2t=c2t, ft=at, g2t=c2t, ht=at, i2t=c2t, jt=at, k2t=c2t, lt=at, m2t=c2t, nt=at, o2t=c2t, pt=at, q2t=c2t, rt=at, st=rs, c2t2=s2, t3=at2, cu=ce, du=au, eu=ce, fu=au, gu=ce, hu=au, iu=ce, ju=au, ku=ce, lu=au, mu=ce, nu=au, ou=ce, pu=au, qu=ce, ru=au, su=ce, t2u=atu, bu2=bc2, tu2=au2, u3=c3, bv=ab, c3v=ac3, dv=av, cev=ace, e2v=c2v, fv=av, g2v=c2v, hv=av, i2v=c2v, jv=av, k2v=c2v, lv=av, m2v=c2v, nv=av, o2v=c2v, pv=av, q2v=c2v, rv=av, s2v=c2v, tv=av, uv=tu, c2v2=u2, v3=av2, cw=ce, dw=aw, ew=ce, fw=aw, gw=ce, hw=aw, iw=ce, jw=aw, kw=ce, lw=aw, mw=ce, nw=aw, ow=ce, pw=aw, qw=ce, rw=aw, sw=ce, tw=aw, uw=ce, vw=ab2w, w2=b2c2, bx=ab, c3x=ac3, dx=ax, cex=ace, e2x=c2x, fx=ax, g2x=c2x, hx=ax, i2x=c2x, jx=ax, k2x=c2x, lx=ax, m2x=c2x, nx=ax, o2x=c2x, px=ax, q2x=c2x, rx=ax, s2x=c2x, tx=ax, u2x=c2x, vx=ax, wx=ab2w, x2=b2>

P = {a, b2, c2, b2c2, d2, ae, abce, e2, cf, f2, ag, g2, ch, eh, h2, ai, i2, cj, ej, gj, j2, ak, k2, cl, el, gl, il, l2, am, m2, cn, en, gn, in, kn, n2, ao, o2, cp, ep, gp, ip, kp, mp, p2, aq, q2, cr, er, gr, ir, kr, mr, or, r2, as, s2, ct, et, gt, it, kt, mt, ot, qt, t2, au, u2, cv, ev, gv, iv, kv, mv, ov, qv, sv, v2, aw, cx, ex, gx, ix, kx, mx, ox, qx, sx, ux}

Phi = 1 a 1 a b b b c a ab2 d b b b e ab2 ab2 f b b b g ab2 ab2 h b b b i ab2 ab2 j b b b k ab2 ab2 l b b b m ab2 ab2 n b b b o ab2 ab2 p b b b q ab2 ab2 r b b b s ab2 ab2 t b b b u ab2 ab2 v b b b w ab2 ab2 x b b b

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
b2c2 *8336
d224
f224
h224
j224
l224
n224
p224
r224
t224
v224