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 Q78(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, b16=b14, b12c=ab14, b8c2=b12, c3=ab2c2, b9d=ab10c, cd=abc2, d2=b2c2, be=ac2, ce=bc2, de=ab2c2, e2=b2c2, b12f=ab14, 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=b15, lm=b15, m2=b14, b4n=b3cl, cn=ab2n, dn=b3n, en=ab3n, fn=ab3cl, gn=b13, hn=ab13, in=ab14, jn=b14, kn=ab15, ln=ab15, mn=ab14, n2=b14, b5o=b7i, co=b2n, do=ab3n, eo=b3n, fo=b3cl, go=ab13, ho=b13, io=b14, jo=ab14, ko=b15, lo=b15, mo=b14, no=ab14, o2=b14, b5p=ab3fl, cp=ab2p, dp=b3p, ep=ab3p, fp=ab4p, gp=ab3fl, hp=b3fl, ip=b15, jp=ab15, kp=b14, lp=b14, mp=b15, np=ab15, op=b15, p2=b14, b6q=ab15, b5cq=b3fl, c2q=ab13, b3dq=ab4cq, eq=b12, b3fq=b3cq, gq=abfq, hq=b14, biq=ab2dq, jq=aiq, kq=ab2dq, lq=b14, mq=b15, nq=ab15, oq=b4cq, pq=b14, q2=b14, b6r=b3fl, cr=ab2r, dr=b3r, er=ab3r, fr=ab4r, gr=b5r, hr=ab5r, ir=ab3fl, jr=b3fl, kr=ab15, lr=ab15, mr=ab14, nr=b14, or=ab14, pr=ab15, qr=ab15, r2=b14, b5s=ab4r, cs=ab2s, ds=b3s, es=ab3s, fs=ab4s, gs=ab4r, hs=b4r, is=b5r, js=ab5r, ks=b3fl, ls=b3fl, ms=b15, ns=ab15, os=b15, ps=b14, qs=b14, rs=ab15, s2=b14, b7t=b5q, b3ct=bfq, c2t=ab15, b3dt=aiq, et=b14, bft=bct, gt=abct, ht=b14, it=abdt, jt=bdt, kt=ab2dt, lt=b14, mt=b15, nt=ab15, ot=iq, pt=b14, qt=b14, rt=ab15, st=b14, t2=b14, b4u=ab3s, cu=ab2u, du=b3u, eu=ab3u, fu=b3s, gu=ab4s, hu=b4s, iu=ab4r, ju=b4r, ku=ab5r, lu=ab5r, mu=ab3fl, nu=b3fl, ou=ab3fl, pu=ab15, qu=ab15, ru=b14, su=ab15, tu=ab15, u2=b14, b3v=ab2u, cv=ab2v, dv=ab2u, ev=b2u, fv=b3u, gv=b3s, hv=ab3s, iv=ab4s, jv=b4s, kv=b4r, lv=b4r, mv=b5r, nv=ab5r, ov=b5r, pv=b3fl, qv=b3fl, rv=ab15, sv=b14, tv=b14, uv=ab15, v2=b14, b5w=b3t, b2cw=ft, c2w=ab15, b2dw=dt, ew=b14, fw=cw, gw=abcw, hw=b14, iw=abdw, jw=bdw, kw=adt, lw=b14, mw=b15, nw=ab15, ow=abdt, pw=b14, qw=b14, rw=ab15, sw=b14, tw=b14, uw=ab15, vw=b14, w2=b14, b3x=bw, b2cx=cw, c2x=ab15, b2dx=dw, ex=b14, fx=cx, gx=abcx, hx=b14, ix=abdx, jx=bdx, kx=adw, lx=b14, mx=b15, nx=ab15, ox=abdw, px=b14, qx=b14, rx=ab15, sx=b14, tx=b14, ux=ab15, vx=b14, wx=b14, x2=b14, b5y=bv, cy=ab2y, dy=b3y, ey=ab3y, fy=ab4y, gy=bv, hy=abv, iy=ab2v, jy=b2v, ky=b2u, ly=b2u, my=b3u, ny=ab3u, oy=b3u, py=ab3s, qy=ab3s, ry=b4s, sy=b4r, ty=b4r, uy=ab5r, vy=b3fl, wy=b3fl, xy=b14, 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, ab5r, s, b2s, b4s, abt, ab3t, ab5t, bct, adt, ab2dt, abu, ab3u, v, b2v, abw, ab3w, bcw, adw, abx, bcx, adx, y, b2y, b4y}

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 ab3y b3y b14 ab4y b2y ab2y x b3y aby by b14 ab2y y ay

Monoid Structure

Idempotent  |G|  |Arch|
122
b14 *4360