Details Page for 0.5513

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   374
P-Portion Size:   93
Tame?   No

MSV File: q-0.5513.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
1182
23123
27184
31225
35286
39348
43429
475012
516013
557017
598218
639423
6710824
7112230
7513831
7915438
8317239
8719047
9121048
9523057
9925258
10327468
10729869
11132280
11534881
11937493

(Click on a heap to see details)

Details for Q99(0.5513):

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, b23=b21, 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=b22, b9l=ab21, cl=ab2l, dl=ab4l, el=b5l, fl=ab6l, gl=b7l, hl=ab8l, il=ab21, jl=b22, kl=ab21, l2=b22, b10m=b21, cm=ab2m, dm=ab4m, em=b5m, fm=ab6m, gm=b7m, hm=ab8m, im=b9m, jm=ab21, km=b22, lm=ab21, m2=b22, b9n=ab8m, cn=ab2n, dn=ab4n, en=b5n, fn=ab6n, gn=b7n, hn=ab8n, in=ab8m, jn=b9m, kn=ab21, ln=b22, mn=ab21, n2=b22, b8o=ab7n, co=ab2o, do=ab4o, eo=b5o, fo=ab6o, go=b7o, ho=b7n, io=ab8n, jo=ab8m, ko=b9m, lo=ab21, mo=b22, no=ab21, o2=b22, b7p=ab6o, cp=ab2p, dp=ab4p, ep=b5p, fp=ab6p, gp=ab6o, hp=b7o, ip=b7n, jp=ab8n, kp=ab8m, lp=b9m, mp=ab21, np=b22, op=ab21, p2=b22, b6q=ab5p, cq=ab2q, dq=ab4q, eq=b5q, fq=b5p, gq=ab6p, hq=ab6o, iq=b7o, jq=b7n, kq=ab8n, lq=ab8m, mq=b9m, nq=ab21, oq=b22, pq=ab21, q2=b22, b5r=ab4q, cr=ab2r, dr=ab4r, er=ab4q, fr=b5q, gr=b5p, hr=ab6p, ir=ab6o, jr=b7o, kr=b7n, lr=ab8n, mr=ab8m, nr=b9m, or=ab21, pr=b22, qr=ab21, r2=b22, b4s=ab3r, cs=ab2s, ds=b3r, es=ab4r, fs=ab4q, gs=b5q, hs=b5p, is=ab6p, js=ab6o, ks=b7o, ls=b7n, ms=ab8n, ns=ab8m, os=b9m, ps=ab21, qs=b22, rs=ab21, s2=b22, b3t=ab2s, ct=ab2t, dt=b3s, et=b3r, ft=ab4r, gt=ab4q, ht=b5q, it=b5p, jt=ab6p, kt=ab6o, lt=b7o, mt=b7n, nt=ab8n, ot=ab8m, pt=b9m, qt=ab21, rt=b22, st=ab21, t2=b22, b2u=abt, cu=bt, du=ab2s, eu=b3s, fu=b3r, gu=ab4r, hu=ab4q, iu=b5q, ju=b5p, ku=ab6p, lu=ab6o, mu=b7o, nu=b7n, ou=ab8n, pu=ab8m, qu=b9m, ru=ab21, su=b22, tu=ab21, u2=b22, bv=au, cv=bu, dv=ab2t, ev=ab2s, fv=b3s, gv=b3r, hv=ab4r, iv=ab4q, jv=b5q, kv=b5p, lv=ab6p, mv=ab6o, nv=b7o, ov=b7n, pv=ab8n, qv=ab8m, rv=b9m, sv=ab21, tv=b22, uv=ab21, v2=b22, bw=av, cw=au, dw=bt, ew=ab2t, fw=ab2s, gw=b3s, hw=b3r, iw=ab4r, jw=ab4q, kw=b5q, lw=b5p, mw=ab6p, nw=ab6o, ow=b7o, pw=b7n, qw=ab8n, rw=ab8m, sw=b9m, tw=ab21, uw=b22, vw=ab21, w2=b22, bx=aw, cx=av, dx=bu, ex=bt, fx=ab2t, gx=ab2s, hx=b3s, ix=b3r, jx=ab4r, kx=ab4q, lx=b5q, mx=b5p, nx=ab6p, ox=ab6o, px=b7o, qx=b7n, rx=ab8n, sx=ab8m, tx=b9m, ux=ab21, vx=b22, wx=ab21, x2=b22>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, b22, 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 a a b b b b a a c c b b b3 b3 ab2 ab2 d d b3 b3 e e ab4 ab4 f f b5 b5 g g ab6 ab6 h h b7 b7 i i ab8 ab8 j j b9 b9 k k ab10 ab10 l l b11 b11 m m ab12 ab12 n n b13 b13 o o ab14 ab14 p p b15 b15 q q ab16 ab16 r r b17 b17 s s ab18 ab18 t t b19 b19 u u ab20 ab20 v v b21 b21 w w ab22 ab22 x x b21 b21

Monoid Structure

Idempotent  |G|  |Arch|
122
b22 *4250