Details Page for 0.3042

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   390
P-Portion Size:   85
Tame?   No

MSV File: q-0.3042.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
1782
29123
32224
34306
38367
406011
426814
467615
4811423
5012226
5413227
5616635
5818038
6220042
6423049
6625254
7027659
7230466
7433072
7836278
8039085

(Click on a heap to see details)

Details for Q74(0.3042):

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, b15=b13, b12c=ab14, b8c2=b12, c3=ab2c2, b9d=ab10c, cd=abc2, d2=b2c2, be=ac2, ce=bc2, de=ab2c2, e2=b2c2, b11f=b11c, cf=b2c2, df=ab3c2, ef=b3c2, f2=b4c2, b2g=ab3f, cg=ab3c2, dg=b4c2, eg=ab4c2, fg=ab5c2, g2=b6c2, b2h=ab3c2, c2h=ab5c2, dh=abch, eh=b4c2, gh=abfh, h2=b6c2, b8i=b10f, ci=b4c2, di=ab5c2, ei=b5c2, fi=b6c2, gi=ab7c2, hi=b7c2, i2=b12, b3j=ab3i, cj=abch, dj=b5c2, ej=ab5c2, fj=ab6c2, gj=b7c2, hj=ab7c2, ij=ab12, j2=b12, b4k=b5i, bck=bfh, c2k=ab7c2, dk=abfh, ek=bfh, fk=b7c2, gk=ab12, hk=b12, ik=b13, jk=ab13, k2=b14, b4l=ab7c2, c2l=ab7c2, bdl=ab2cl, el=b6c2, gl=abfl, hl=b12, il=b2fl, jl=ab2fl, kl=b3fl, l2=b14, bm=ack, cm=bfh, dm=ab7c2, em=b7c2, fm=b12, gm=ab13, hm=b13, im=b14, jm=ab14, km=b13, lm=b13, m2=b14, b4n=b3cl, cn=ab2n, dn=b3n, en=ab3n, fn=ab3cl, gn=b13, hn=ab13, in=ab14, jn=b14, kn=ab13, ln=ab13, mn=ab14, n2=b14, b5o=b7i, co=b2n, do=ab3n, eo=b3n, fo=b3cl, go=ab13, ho=b13, io=b14, jo=ab14, ko=b13, lo=b13, mo=b14, no=ab14, o2=b14, b5p=ab3fl, cp=ab2p, dp=b3p, ep=ab3p, fp=ab4p, gp=ab3fl, hp=b3fl, ip=b13, jp=ab13, kp=b14, lp=b14, mp=b13, np=ab13, op=b13, p2=b14, b6q=ab13, b4cq=b2fl, c2q=ab13, b3dq=ab2fl, eq=b12, b2fq=b2cq, gq=abfq, hq=b14, iq=abdq, jq=bdq, kq=ab2dq, lq=b14, mq=b13, nq=ab13, oq=b2fl, pq=b14, q2=b14, b5r=ab4p, cr=ab2r, dr=b3r, er=ab3r, fr=ab4r, gr=ab4p, hr=b4p, ir=ab3fl, jr=b3fl, kr=ab13, lr=ab13, mr=ab14, nr=b14, or=ab14, pr=ab13, qr=ab13, r2=b14, b4s=ab3r, cs=ab2s, ds=b3s, es=ab3s, fs=b3r, gs=ab4r, hs=b4r, is=ab4p, js=b4p, ks=b3fl, ls=b3fl, ms=b13, ns=ab13, os=b13, ps=b14, qs=b14, rs=ab13, s2=b14, b6t=b4q, b2ct=fq, c2t=ab13, b3dt=bdq, et=b14, ft=ct, gt=abct, ht=b14, it=abdt, jt=bdt, kt=ab2dt, lt=b14, mt=b13, nt=ab13, ot=abdq, pt=b14, qt=b14, rt=ab13, st=b14, t2=b14, b3u=ab2s, cu=ab2u, du=ab2s, eu=b2s, fu=b3s, gu=b3r, hu=ab3r, iu=ab4r, ju=b4r, ku=b4p, lu=b4p, mu=ab3fl, nu=b3fl, ou=ab3fl, pu=ab13, qu=ab13, ru=b14, su=ab13, tu=ab13, u2=b14, b2v=abu, cv=bu, dv=ab2u, ev=b2u, fv=ab2s, gv=b3s, hv=ab3s, iv=b3r, jv=ab3r, kv=b4r, lv=b4r, mv=ab4p, nv=b4p, ov=ab4p, pv=b3fl, qv=b3fl, rv=ab13, sv=b14, tv=b14, uv=ab13, v2=b14, b4w=b2t, b2cw=ct, c2w=ab13, b2dw=dt, ew=b14, fw=cw, gw=abcw, hw=b14, iw=abdw, jw=bdw, kw=adt, lw=b14, mw=b13, nw=ab13, ow=abdt, pw=b14, qw=b14, rw=ab13, sw=b14, tw=b14, uw=ab13, vw=b14, w2=b14, b2x=w, c2x=ab13, ex=b14, fx=cx, gx=abcx, hx=b14, ix=abdx, jx=bdx, kx=adw, lx=b14, mx=b13, nx=ab13, ox=abdw, px=b14, qx=b14, rx=ab13, sx=b14, tx=b14, ux=ab13, vx=b14, wx=b14, x2=b14, b3y=av, cy=ab2y, dy=av, ey=v, fy=bv, gy=bu, hy=abu, iy=ab2u, jy=b2u, ky=b2s, ly=b2s, my=b3s, ny=ab3s, oy=b3s, py=ab3r, qy=ab3r, ry=b4r, sy=b4p, ty=b4p, uy=b3fl, vy=ab13, wy=ab13, xy=ab13, y2=b14>

P = {a, b2, b4, b6, b8, b10, b12, b14, ab2c, ab4c, ab6c, ab8c, ab10c, c2, b2c2, b4c2, b6c2, bd, b3d, b5d, b7d, ab2f, ab4f, ab6f, ab8f, ab10f, ag, bh, ab2i, ab4i, ab6i, abj, k, b2k, ack, abl, b3l, adl, abn, ab3n, bo, b3o, p, b2p, b4p, abq, ab3q, b5q, bcq, adq, ab2dq, bfq, abr, ab3r, s, b2s, abt, ab3t, ab5t, bct, adt, ab2dt, abu, v, abw, ab3w, bcw, adw, abx, bcx, adx, aby}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b2 d ad d e f af f c2 g ag g h i j aj b2c2 bj k ak l m n o b4c2 bn p ap q bp r ar b6c2 br s as t bs u au b12 bu v av w bv b2y ab2y b14 av aby by x ab2y y ay b14 by

Monoid Structure

Idempotent  |G|  |Arch|
122
b14 *4328