Details Page for 0.1042

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1080
P-Portion Size:   133
Tame?   No

MSV File: q-0.1042.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
17123
31325
3511212
3711614
3818830
3939459
4346464
4447265
4659487
4759888
4960688
51912121
521048128
531080133

(Click on a heap to see details)

Details for Q52(0.1042):

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, b5=b3, bc=b4, c2=b4, b2d2=b2, bd3=bd, cd3=cd, d4=d2, be=b2d, ce=b4d, d3e=de, de2=b2d, e5=e3, b2f=ab3, cf=ab4, bd2f=bf, d3f=df, ef=bdf, f2=b4, b2g=b3, cg=b4, d2g=g, eg=bdg, fg=bf, g2=b4, b2h=ab3, ch=ab4, bd2h=bh, d3h=dh, eh=bdh, fh=b4, gh=abg, bh2=b3, d2h2=h2, h3=ab3, bi=abg, ci=ab4, d3i=di, dei=abg, e4i=e2i, fi=b4, gi=abg, hi=b2, i2=bg, bj=b3, cj=b3, d2j=b2, dej=b3, e3j=ej, fj=ab3, gj=b3, hj=ab3, dij=ab3d, e2ij=ij, j2=b4, b2k=b3d, d2k=k, ek=bdk, bfk=ab3d, gk=b4d, hk=ack, ik=ack, jk=b3d, k3=k, bl=bg, cl=b4, d3l=dl, el=bdg, fl=ab4, gl=bg, hl=abg, il=abg, jl=b3, kl=ck, l2=bg, bm=b4, cm=b4, d3m=dm, em=ae3i, fm=ab4, gm=b4, hm=ab4, im=ab4, jm=aij, km=b4d, lm=b4, m2=b4, b3n=b3d, cn=b3d, bd2n=bn, d3n=dn, en=bdn, d2fn=fn, d2hn=hn, d2in=in, jn=b2n, kn=bk2, d2ln=ln, mn=b3d, n2=b4, bo=b3d, co=b3d, do=abh, eo=b3, fo=ab3d, go=b3d, ho=ab3d, io=ab3d, jo=b4d, ko=b3, lo=b3d, mo=b3d, no=abdhn, o2=b4, b2p=abg, cdp=acd, bfp=b4, d2fp=fp, bgp=abg, bhp=b2, h2p=bh, eip=bdg, ijp=b3, bkp=ack, ckp=ack, fkp=afk, lp=aip, d2mp=mp, bnp=in, fnp=b3d, inp=ln, bp2=ip, cp2=acp, e2p2=ae2p, fp2=afp, gp2=agp, dhp2=bdp, ip2=aip, jp2=ajp, kp2=akp, mp2=amp, hnp2=in, ep3=aep2, hp3=ip, op3=aop2, p4=ap3, b3q=ab3, cdq=dfk2, bd2q=bq, d3q=dq, bfq=b4, d2fq=fq, d2hq=hq, eiq=abdgq, djq=b2dq, ijq=b3, ckq=fk, fkq=b4d, mq=ab3, d2nq=nq, fnq=b3d, bpq=d2iq, cpq=afk2, fpq=afq, gpq=agq, ipq=d2lq, hnpq=bnq, opq=ab2dq, hp2q=d2iq, q2=abf, b2r=ab3, cr=ab4, bd2r=br, d3r=dr, der=br, e4r=e2r, fr=b4, bgr=ab3, bhr=b3, d2hr=hr, h2r=ab3, e3ir=eir, djr=ab3d, e2jr=jr, kr=bkq, lr=ad2ir, dmr=bfn, nr=bnq, or=ab3d, pr=depq, qr=b3, r2=b4, bs=ab3d, cs=ab3d, d2s=s, es=ab3, fs=b3d, gs=ab3d, hs=b3d, is=b3d, js=ab4d, ks=ab3, ls=ab3d, ms=ab3d, os=ab4, ps=abdh, qs=adh2q, rs=b3d, s2=b4, b2t=b4d, bd2t=bt, cd2t=ct, d3t=dt, et=b3, bft=ab4d, d2ft=ft, gt=b3d, bht=ab4d, d2ht=ht, h2t=b4d, it=abt, djt=b4, kt=ck2, lt=bt, d2mt=mt, nt=b4, ot=b4, bpt=abt, cpt=act, fpt=aft, hpt=bt, mpt=amt, p2t=apt, bqt=ab3d, cqt=ab3d, dqt=dfk, fqt=b3d, hqt=b3d, jqt=ab4d, pqt=afk, rt=ab3d, st=ab4, t2=b4, b2u=b4d, bd2u=bu, cd2u=cu, d2eu=eu, e2u=b4d, bfu=ab4d, d2fu=fu, gu=b3d, hu=acu, iu=acu, eju=b3, lu=cu, d2mu=mu, bnu=b3, dnu=bdku, fnu=ab3, ou=b4, bpu=acu, cpu=acu, fpu=afu, mpu=amu, dp2u=adpu, ep2u=aepu, p3u=ap2u, cqu=fk2u, fqu=b3d, jqu=ab4d, bk2qu=bqu, nqu=bkqu, d2pqu=pqu, p2qu=apqu, ru=dequ, su=ab4, btu=dmu, ctu=dmu, ftu=afq, mtu=b3, dptu=adtu, jptu=djpu, qtu=fku, u2=b4, bv=ab3, cv=ab3, d2v=v, ev=ab3d, fv=b3, gv=ab3, hv=b3, iv=b3, jv=ab4, kv=ab3d, lv=ab3, mv=ab3, nv=abgn, ov=ab4d, pv=bg, qv=abgq, rv=b3, sv=b4d, tv=ab4d, uv=ab4d, v2=b4, bw=b2n, cw=b4d, d2w=w, ew=b2dn, fw=ab4d, gw=bgn, hw=abgn, iw=abgn, jw=b3d, kw=b4, lw=bgn, mw=b4d, nw=b3, ow=b3, p2w=apw, pqw=alnq, rw=b2nq, sw=ab3, tw=b3, uw=dmu, vw=ab3d, w2=b4, b2x=ab3, bd2x=bx, cd2x=cx, d3x=dx, e2x=ij, bfx=b3, d2fx=fx, gx=ab4, bhx=b3, d2hx=hx, h2x=ab3, d2ix=ix, eix=b3d, jx=ab3, kx=dk2p, lx=aix, d2mx=mx, nx=acdk2, ox=ab3d, bpx=ix, cpx=acx, d2px=px, epx=ad2ex, fpx=afx, hpx=bx, ipx=aix, p3x=ap2x, bqx=adfk, cqx=adfk, d2qx=qx, fqx=bdgnq, hqx=dfk, iqx=dfk, pqx=aqx, brx=b3, drx=eqx, erx=eijr, hrx=ab3, irx=ab3, mrx=b3, sx=b3d, d2tx=tx, qtx=adfk2, cux=bux, d2ux=ux, pux=aux, vx=b3, wx=btx, bx2=cd2, cx2=cd2, d2x2=x2, hx2=acd2, ix2=acd2, px2=ax2, rx2=deqx2, ftx2=amu, mtx2=mu, eux2=aepu, fux2=fk2u, mux2=mu, qux2=apqu, ex3=d2ex, x4=x2, b2y=ab4d, d3y=dy, ey=equ, bfy=b4d, dfy=adft, gy=ab3d, bhy=b4d, dhy=acdy, h2y=ab4d, iy=acy, djy=ab4, bky=bkqu, cky=fku, fky=b4, ly=cy, my=amt, bny=ab3, dny=bdkqu, fny=b3, hny=b3, cpy=hy, bdpy=acdy, fpy=ft, hpy=ahy, jpy=ajpt, opy=adjpu, dp2y=adpy, np2y=anpy, p3y=ap2y, bqy=b3d, dqy=b4, fqy=ab3d, hqy=ab3d, jqy=b4d, kqy=b3, nqy=b4, pqy=ab4d, ry=b3d, sy=b4, bty=ab3, cty=ab3, dty=dfku, fty=b3, hty=b3, jty=aoqy, pty=afku, qty=oqy, buy=admu, cuy=admu, fuy=fq, juy=djpu, kuy=fk2u, nuy=ab4d, dpuy=aduy, p2uy=apuy, quy=oqy, tuy=ab4d, vy=b4d, wy=ab3, cxy=bxy, d2xy=xy, fxy=aftx, hxy=abxy, pxy=axy, qxy=ab3d, txy=adfk2u, y2=b4>

P = {a, b2, b4, ad, ad2, ad3, e2, e4, abf, bg, abh, h2, j, e2j, adk, acdk, ak2, adk2, bdn, adfn, abdgn, abdhn, dh2n, o, p, dp, d2p, d3p, ae2p, ae4p, ajp, ae2jp, k2p, dk2p, dnp, ap2, adp2, ad2p2, ad3p2, adnp2, p3, dp3, d2p3, d3p3, dnp3, ab2q, dq, ae2q, ae4q, abgq, bhq, ah2q, ajq, ae2jq, abdkq, dk2q, dnq, ab2dnq, bdhnq, adh2nq, epq, e3pq, aep2q, ar, bdr, er, dgr, eir, ads, adt, dpt, au, adu, ad2u, ad3u, dju, aku, acku, ak2u, adk2u, pu, dpu, d2pu, d3pu, jpu, k2pu, dk2pu, anpu, ap2u, abkqu, atu, ad2tu, ajtu, ptu, dv, bx, cx, bdx, cdx, adfx, ahx, adhx, aix, dmx, mpx, adqx, deqx, abdtx, admtx, bux, bdux, afux, equx, ax2, adx2, adtx2, aux2, adux2, atux2, adfx3, dmx3, by, cy, afy, ahy, any, npy, acqy}

Phi = 1 a 1 1 1 b b b b a a a b2 ab ab ab c d d ab2 b4 e e f g h i bf j ab2 abg k hp l m n b2 o p q gn gn bd2p r s t u v abh w b3 x y

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *8960
d246
e448
k288
ae4p410
ak2p88
ap326
ad2p3418
x2822