Details Page for 0.3072

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   334
P-Portion Size:   81
Tame?   No

MSV File: q-0.3072.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
1782
29123
32224
34306
38367
42408
46449
505210
546213
587214
628218
669419
7010624
7412025
7813431
8215032
8616639
9018440
9420248
9822249
10224258
10626459
11028669
11431070
11833481

(Click on a heap to see details)

Details for Q114(0.3072):

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 | a2=1, b25=b23, b2c=ab4, c2=b4, b2d=ab6, cd=b6, d2=b8, b2e=b7, ce=ab7, de=ab9, e2=b10, b2f=ab7, ef=abdf, f2=b10, b2g=bcf, cg=abcf, dg=ab10, eg=b11, fg=ab11, g2=b12, b3h=abdf, ch=ab2h, dh=b11, eh=ab12, fh=b12, gh=ab13, h2=b14, b5i=b13, ci=ab2i, di=ab4i, ei=b13, fi=ab13, gi=b14, hi=ab15, i2=b16, b6j=ab15, cj=ab2j, dj=ab4j, ej=b5j, fj=ab5j, gj=ab15, hj=b16, ij=ab17, j2=b18, b7k=b17, ck=ab2k, dk=ab4k, ek=b5k, fk=ab5k, gk=b6k, hk=ab17, ik=b18, jk=ab19, k2=b20, b8l=ab19, cl=ab2l, dl=ab4l, el=b5l, fl=ab5l, gl=b6l, hl=ab7l, il=ab19, jl=b20, kl=ab21, l2=b22, b9m=b21, cm=ab2m, dm=ab4m, em=b5m, fm=ab5m, gm=b6m, hm=ab7m, im=b8m, jm=ab21, km=b22, lm=ab23, m2=b24, b10n=ab23, cn=ab2n, dn=ab4n, en=b5n, fn=ab5n, gn=b6n, hn=ab7n, in=b8n, jn=ab9n, kn=ab23, ln=b24, mn=ab23, n2=b24, b11o=b23, co=ab2o, do=ab4o, eo=b5o, fo=ab5o, go=b6o, ho=ab7o, io=b8o, jo=ab9o, ko=b10o, lo=ab23, mo=b24, no=ab23, o2=b24, b10p=ab9o, cp=ab2p, dp=ab4p, ep=b5p, fp=ab5p, gp=b6p, hp=ab7p, ip=b8p, jp=ab9p, kp=ab9o, lp=b10o, mp=ab23, np=b24, op=ab23, p2=b24, b9q=ab8p, cq=ab2q, dq=ab4q, eq=b5q, fq=ab5q, gq=b6q, hq=ab7q, iq=b8q, jq=b8p, kq=ab9p, lq=ab9o, mq=b10o, nq=ab23, oq=b24, pq=ab23, q2=b24, b8r=ab7q, cr=ab2r, dr=ab4r, er=b5r, fr=ab5r, gr=b6r, hr=ab7r, ir=ab7q, jr=b8q, kr=b8p, lr=ab9p, mr=ab9o, nr=b10o, or=ab23, pr=b24, qr=ab23, r2=b24, b7s=ab6r, cs=ab2s, ds=ab4s, es=b5s, fs=ab5s, gs=b6s, hs=b6r, is=ab7r, js=ab7q, ks=b8q, ls=b8p, ms=ab9p, ns=ab9o, os=b10o, ps=ab23, qs=b24, rs=ab23, s2=b24, b6t=ab5s, ct=ab2t, dt=ab4t, et=b5t, ft=ab5t, gt=ab5s, ht=b6s, it=b6r, jt=ab7r, kt=ab7q, lt=b8q, mt=b8p, nt=ab9p, ot=ab9o, pt=b10o, qt=ab23, rt=b24, st=ab23, t2=b24, b5u=ab4t, cu=ab2u, du=ab4u, eu=ab4t, fu=b4t, gu=ab5t, hu=ab5s, iu=b6s, ju=b6r, ku=ab7r, lu=ab7q, mu=b8q, nu=b8p, ou=ab9p, pu=ab9o, qu=b10o, ru=ab23, su=b24, tu=ab23, u2=b24, b4v=ab3u, cv=ab2v, dv=b3u, ev=ab4u, fv=b4u, gv=b4t, hv=ab5t, iv=ab5s, jv=b6s, kv=b6r, lv=ab7r, mv=ab7q, nv=b8q, ov=b8p, pv=ab9p, qv=ab9o, rv=b10o, sv=ab23, tv=b24, uv=ab23, v2=b24, b3w=ab2v, cw=ab2w, dw=b3v, ew=b3u, fw=ab3u, gw=b4u, hw=b4t, iw=ab5t, jw=ab5s, kw=b6s, lw=b6r, mw=ab7r, nw=ab7q, ow=b8q, pw=b8p, qw=ab9p, rw=ab9o, sw=b10o, tw=ab23, uw=b24, vw=ab23, w2=b24, b2x=abw, cx=bw, dx=ab2v, ex=b3v, fx=ab3v, gx=ab3u, hx=b4u, ix=b4t, jx=ab5t, kx=ab5s, lx=b6s, mx=b6r, nx=ab7r, ox=ab7q, px=b8q, qx=b8p, rx=ab9p, sx=ab9o, tx=b10o, ux=ab23, vx=b24, wx=ab23, x2=b24, b3y=ax, cy=ab2y, dy=bx, ey=bw, fy=abw, gy=b2w, hy=b2v, iy=ab3v, jy=ab3u, ky=b4u, ly=b4t, my=ab5t, ny=ab5s, oy=b6s, py=b6r, qy=ab7r, ry=ab7q, sy=b8q, ty=b8p, uy=ab9p, vy=ab9o, wy=b10o, xy=ab23, y2=b24>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, b22, b24, ae, bf, abg, h, b2h, abi, ab3i, j, b2j, b4j, abk, ab3k, ab5k, l, b2l, b4l, b6l, abm, ab3m, ab5m, ab7m, n, b2n, b4n, b6n, b8n, abo, ab3o, ab5o, ab7o, ab9o, p, b2p, b4p, b6p, b8p, abq, ab3q, ab5q, ab7q, r, b2r, b4r, b6r, abs, ab3s, ab5s, t, b2t, b4t, abu, ab3u, v, b2v, abw, x, aby}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b2 abc bc abc ab3 d ad d b4 e ae e f abe g abe b6 bg h bg ab7 bh i bh b8 bi j bi ab9 bj k bj b10 bk l bk ab11 bl m bl b12 bm n bm ab13 bn o bn b14 bo p bo ab15 bp q bp b16 bq r bq ab17 br s br b18 bs t bs ab19 bt u bt b20 bu v bu ab21 bv w bv b22 bw x bw ab23 bx b2y bx b24 ax aby ax ab23 ab2y y ab2y b24 by

Monoid Structure

Idempotent  |G|  |Arch|
122
b24 *4308