Details Page for 0.5351

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   490
P-Portion Size:   122
Tame?   No

MSV File: q-0.5351.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
982
16123
18184
20225
22286
24348
26429
285012
306013
327017
348218
369423
3810824
4012230
4213831
4415438
4617239
4819047
5021048
5223057
5425258
5627468
5829869
6032280
6234881
6437493
6640294
68430107
70460108
72490122

(Click on a heap to see details)

Details for Q52(0.5351):

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, b22=b20, bc=ab3, c2=b4, bd=ab5, cd=b6, d2=b8, b2e=b7, ce=ab7, de=ab9, e2=b10, b3f=ab9, cf=ab2f, df=b10, ef=ab11, f2=b12, b4g=b11, cg=ab2g, dg=ab11, eg=b12, fg=ab13, g2=b14, b5h=ab13, ch=ab2h, dh=ab4h, eh=ab13, fh=b14, gh=ab15, h2=b16, b6i=b15, ci=ab2i, di=ab4i, ei=b5i, fi=ab15, gi=b16, hi=ab17, i2=b18, b7j=ab17, cj=ab2j, dj=ab4j, ej=b5j, fj=ab6j, gj=ab17, hj=b18, ij=ab19, j2=b20, b8k=b19, ck=ab2k, dk=ab4k, ek=b5k, fk=ab6k, gk=b7k, hk=ab19, ik=b20, jk=ab21, k2=b20, b9l=ab21, cl=ab2l, dl=ab4l, el=b5l, fl=ab6l, gl=b7l, hl=ab8l, il=ab21, jl=b20, kl=ab21, l2=b20, b9m=ab8l, cm=ab2m, dm=ab4m, em=b5m, fm=ab6m, gm=b7m, hm=ab8m, im=ab8l, jm=ab21, km=b20, lm=ab21, m2=b20, b8n=ab7m, cn=ab2n, dn=ab4n, en=b5n, fn=ab6n, gn=b7n, hn=b7m, in=ab8m, jn=ab8l, kn=ab21, ln=b20, mn=ab21, n2=b20, b7o=ab6n, co=ab2o, do=ab4o, eo=b5o, fo=ab6o, go=ab6n, ho=b7n, io=b7m, jo=ab8m, ko=ab8l, lo=ab21, mo=b20, no=ab21, o2=b20, b6p=ab5o, cp=ab2p, dp=ab4p, ep=b5p, fp=b5o, gp=ab6o, hp=ab6n, ip=b7n, jp=b7m, kp=ab8m, lp=ab8l, mp=ab21, np=b20, op=ab21, p2=b20, b5q=ab4p, cq=ab2q, dq=ab4q, eq=ab4p, fq=b5p, gq=b5o, hq=ab6o, iq=ab6n, jq=b7n, kq=b7m, lq=ab8m, mq=ab8l, nq=ab21, oq=b20, pq=ab21, q2=b20, b4r=ab3q, cr=ab2r, dr=b3q, er=ab4q, fr=ab4p, gr=b5p, hr=b5o, ir=ab6o, jr=ab6n, kr=b7n, lr=b7m, mr=ab8m, nr=ab8l, or=ab21, pr=b20, qr=ab21, r2=b20, b3s=ab2r, cs=ab2s, ds=b3r, es=b3q, fs=ab4q, gs=ab4p, hs=b5p, is=b5o, js=ab6o, ks=ab6n, ls=b7n, ms=b7m, ns=ab8m, os=ab8l, ps=ab21, qs=b20, rs=ab21, s2=b20, b2t=abs, ct=bs, dt=ab2r, et=b3r, ft=b3q, gt=ab4q, ht=ab4p, it=b5p, jt=b5o, kt=ab6o, lt=ab6n, mt=b7n, nt=b7m, ot=ab8m, pt=ab8l, qt=ab21, rt=b20, st=ab21, t2=b20, bu=at, cu=bt, du=ab2s, eu=ab2r, fu=b3r, gu=b3q, hu=ab4q, iu=ab4p, ju=b5p, ku=b5o, lu=ab6o, mu=ab6n, nu=b7n, ou=b7m, pu=ab8m, qu=ab8l, ru=ab21, su=b20, tu=ab21, u2=b20, bv=au, cv=at, dv=bs, ev=ab2s, fv=ab2r, gv=b3r, hv=b3q, iv=ab4q, jv=ab4p, kv=b5p, lv=b5o, mv=ab6o, nv=ab6n, ov=b7n, pv=b7m, qv=ab8m, rv=ab8l, sv=ab21, tv=b20, uv=ab21, v2=b20, bw=av, cw=au, dw=bt, ew=bs, fw=ab2s, gw=ab2r, hw=b3r, iw=b3q, jw=ab4q, kw=ab4p, lw=b5p, mw=b5o, nw=ab6o, ow=ab6n, pw=b7n, qw=b7m, rw=ab8m, sw=ab8l, tw=ab21, uw=b20, vw=ab21, w2=b20>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, ae, bf, ag, ab2g, bh, b3h, ai, ab2i, ab4i, bj, b3j, b5j, ak, ab2k, ab4k, ab6k, bl, b3l, b5l, b7l, am, ab2m, ab4m, ab6m, ab8m, bn, b3n, b5n, b7n, ao, ab2o, ab4o, ab6o, bp, b3p, b5p, aq, ab2q, ab4q, br, b3r, as, ab2s, bt, au, aw}

Phi = 1 a a b b a a b b c c b3 b3 d d b5 e ab6 f b7 g ab8 h b9 i ab10 j b11 k ab12 l b13 m ab14 n b15 o ab16 p b17 q ab18 r b19 s ab20 t b21 u ab20 v b21 w ab20

Monoid Structure

Idempotent  |G|  |Arch|
122
b20 *4228