Details Page for 0.2224

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   440
P-Portion Size:   109
Tame?   No

MSV File: q-0.2224.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
362
1082
20123
22184
24225
26286
28327
30388
324410
345211
366014
387015
408019
429220
4410425
4611826
4813232
5014833
5216440
5418241
5620049
5822050
6024059
6226260
6428470
6630871
6833282
7035883
7238495
7441296
76440109

(Click on a heap to see details)

Details for Q62(0.2224):

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,y,z,A | a2=1, b25=b23, bc=ab3, c2=b4, bd=ab5, cd=b6, d2=b8, be=ab7, ce=b8, de=b10, e2=b12, b2f=ab9, cf=b9, df=b11, ef=b13, f2=b14, b3g=ab11, cg=ab2g, dg=b12, eg=b14, fg=b15, g2=b16, b4h=ab13, ch=ab2h, dh=b13, eh=b15, fh=b16, gh=b17, h2=b18, b5i=ab15, ci=ab2i, di=ab4i, ei=b16, fi=b17, gi=b18, hi=b19, i2=b20, b6j=ab17, cj=ab2j, dj=ab4j, ej=b17, fj=b18, gj=b19, hj=b20, ij=b21, j2=b22, b7k=ab19, ck=ab2k, dk=ab4k, ek=ab6k, fk=b19, gk=b20, hk=b21, ik=b22, jk=b23, k2=b24, b8l=ab21, cl=ab2l, dl=ab4l, el=ab6l, fl=ab7l, gl=b21, hl=b22, il=b23, jl=b24, kl=b23, l2=b24, b9m=ab23, cm=ab2m, dm=ab4m, em=ab6m, fm=ab7m, gm=ab8m, hm=b23, im=b24, jm=b23, km=b24, lm=b23, m2=b24, b10n=ab23, cn=ab2n, dn=ab4n, en=ab6n, fn=ab7n, gn=ab8n, hn=ab9n, in=b23, jn=b24, kn=b23, ln=b24, mn=b23, n2=b24, b9o=b8n, co=ab2o, do=ab4o, eo=ab6o, fo=ab7o, go=ab8o, ho=ab8n, io=ab9n, jo=b23, ko=b24, lo=b23, mo=b24, no=b23, o2=b24, b8p=b7o, cp=ab2p, dp=ab4p, ep=ab6p, fp=ab7p, gp=ab7o, hp=ab8o, ip=ab8n, jp=ab9n, kp=b23, lp=b24, mp=b23, np=b24, op=b23, p2=b24, b7q=b6p, cq=ab2q, dq=ab4q, eq=ab6q, fq=ab6p, gq=ab7p, hq=ab7o, iq=ab8o, jq=ab8n, kq=ab9n, lq=b23, mq=b24, nq=b23, oq=b24, pq=b23, q2=b24, b6r=b5q, cr=ab2r, dr=ab4r, er=ab5q, fr=ab6q, gr=ab6p, hr=ab7p, ir=ab7o, jr=ab8o, kr=ab8n, lr=ab9n, mr=b23, nr=b24, or=b23, pr=b24, qr=b23, r2=b24, b5s=b4r, cs=ab2s, ds=ab4s, es=ab5r, fs=ab5q, gs=ab6q, hs=ab6p, is=ab7p, js=ab7o, ks=ab8o, ls=ab8n, ms=ab9n, ns=b23, os=b24, ps=b23, qs=b24, rs=b23, s2=b24, b4t=b3s, ct=ab2t, dt=ab3s, et=ab4r, ft=ab5r, gt=ab5q, ht=ab6q, it=ab6p, jt=ab7p, kt=ab7o, lt=ab8o, mt=ab8n, nt=ab9n, ot=b23, pt=b24, qt=b23, rt=b24, st=b23, t2=b24, b3u=b2t, cu=ab2u, du=ab3t, eu=ab4s, fu=ab4r, gu=ab5r, hu=ab5q, iu=ab6q, ju=ab6p, ku=ab7p, lu=ab7o, mu=ab8o, nu=ab8n, ou=ab9n, pu=b23, qu=b24, ru=b23, su=b24, tu=b23, u2=b24, b2v=bu, cv=abu, dv=ab2t, ev=ab3s, fv=ab4s, gv=ab4r, hv=ab5r, iv=ab5q, jv=ab6q, kv=ab6p, lv=ab7p, mv=ab7o, nv=ab8o, ov=ab8n, pv=ab9n, qv=b23, rv=b24, sv=b23, tv=b24, uv=b23, v2=b24, bw=v, cw=abv, dw=ab2u, ew=ab3t, fw=ab3s, gw=ab4s, hw=ab4r, iw=ab5r, jw=ab5q, kw=ab6q, lw=ab6p, mw=ab7p, nw=ab7o, ow=ab8o, pw=ab8n, qw=ab9n, rw=b23, sw=b24, tw=b23, uw=b24, vw=b23, w2=b24, bx=w, cx=av, dx=abu, ex=ab2t, fx=ab3t, gx=ab3s, hx=ab4s, ix=ab4r, jx=ab5r, kx=ab5q, lx=ab6q, mx=ab6p, nx=ab7p, ox=ab7o, px=ab8o, qx=ab8n, rx=ab9n, sx=b23, tx=b24, ux=b23, vx=b24, wx=b23, x2=b24, by=x, cy=aw, dy=abv, ey=ab2u, fy=ab2t, gy=ab3t, hy=ab3s, iy=ab4s, jy=ab4r, ky=ab5r, ly=ab5q, my=ab6q, ny=ab6p, oy=ab7p, py=ab7o, qy=ab8o, ry=ab8n, sy=ab9n, ty=b23, uy=b24, vy=b23, wy=b24, xy=b23, y2=b24, bz=y, cz=ax, dz=av, ez=abu, fz=ab2u, gz=ab2t, hz=ab3t, iz=ab3s, jz=ab4s, kz=ab4r, lz=ab5r, mz=ab5q, nz=ab6q, oz=ab6p, pz=ab7p, qz=ab7o, rz=ab8o, sz=ab8n, tz=ab9n, uz=b23, vz=b24, wz=b23, xz=b24, yz=b23, z2=b24, bA=z, cA=ay, dA=aw, eA=abv, fA=abu, gA=ab2u, hA=ab2t, iA=ab3t, jA=ab3s, kA=ab4s, lA=ab4r, mA=ab5r, nA=ab5q, oA=ab6q, pA=ab6p, qA=ab7p, rA=ab7o, sA=ab8o, tA=ab8n, uA=ab9n, vA=b23, wA=b24, xA=b23, yA=b24, zA=b23, A2=b24>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, b22, b24, af, abg, ah, ab2h, abi, ab3i, aj, ab2j, ab4j, abk, ab3k, ab5k, al, ab2l, ab4l, ab6l, abm, ab3m, ab5m, ab7m, an, ab2n, ab4n, ab6n, ab8n, abo, ab3o, ab5o, ab7o, ap, ab2p, ab4p, ab6p, abq, ab3q, ab5q, ar, ab2r, ab4r, abs, ab3s, at, ab2t, abu, av, ax, az}

Phi = 1 1 a b ab 1 a b ab 1 c b ab3 b2 d b3 ab5 b4 e b5 f b6 g b7 h b8 i b9 j b10 k b11 l b12 m b13 n b14 o b15 p b16 q b17 r b18 s b19 t b20 u b21 v b22 w b23 x b24 y b23 z b24 A b23

Monoid Structure

Idempotent  |G|  |Arch|
122
b24 *4260