Details Page for 0.1422

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1324
P-Portion Size:   128
Tame?   No

MSV File: q-0.1422.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
13123
23325
268812
2812818
2914423
3018026
3219227
3347249
3453655
3554457
3684483
371080104
381268123
391276123
401324128

(Click on a heap to see details)

Details for Q40(0.1422):

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 | a2=1, b6=b4, bc=b4, c2=b4, d2=1, be=b2d, ce=b4d, e2=b2, b2f=ab5, cf=ab4, ef=bdf, f2=b4, b2g=b3, cg=b4, eg=bdg, fg=bf, g2=b4, b2h=ab3, ch=ab4, eh=bdh, fh=b4, gh=abg, bh2=b3, h3=ab5, bi=b3, ci=b5, ei=b3d, fi=ab5, gi=b5, hi=ab3, i2=b4, bj=ab3, cj=ab5, ej=ab3d, fj=b5, gj=ab3, hj=b3, ij=ab4, j2=b4, b2k=b5d, ek=bdk, bfk=ab5d, gk=b4d, bhk=ab5d, h2k=b5d, ik=b5d, jk=ab5d, bk3=bk, ck3=ck, fk3=fk, hk3=hk, k4=k2, bl=b4, cl=b4, el=b4d, fl=ab4, gl=b4, hl=ab4, il=b5, jl=ab5, kl=b4d, l2=b4, b3m=b5d, cm=b5d, em=bdm, bhm=abgm, h2m=bgm, im=b2m, jm=abgm, km=bk2, lm=b5d, m2=b4, bn=b3, cn=b5, en=b3d, fn=ab5, gn=b3, hn=ab3, in=b4, jn=ab4, kn=b5d, ln=b5, mn=bgm, n2=b4, b3o=ab5, bfo=b4, bho=ab2o, h2o=b2o, io=b2o, cko=hk, hko=ahk, bmo=hm, fmo=b5d, hmo=ahm, no=b2o, bo2=abo, co2=aco, eo2=aeo, fo2=afo, go2=ago, ho2=aho, jo2=b2o, ko2=ako, lo2=alo, o3=ao2, bp=ab5, cp=ab5, ep=ab5d, fp=b5, gp=ab5, hp=b5, ip=ab4, jp=b4, kp=ab5d, lp=ab5, np=ab4, op=abf, p2=b4, b4q=ab4d, cq=b3q, eq=bdq, fq=ab3q, jq=bhq, bkq=ab4, hkq=b4, lq=b3q, mq=ab4, nq=abhq, bgoq=b2oq, hoq=aboq, koq=fk2o, o2q=aoq, pq=abfm, q2=b4, b2r=ab5, cr=ab4, er=bdr, fr=b4, gr=br, hr=b4, ir=ab5, jr=b5, kr=ab4d, lr=ab4, mr=ab5d, nr=ab5, or=b5, pr=b5, qr=afm, r2=b4, b2s2=b2, cs2=c, bfs2=bf, bgs2=bg, hs2=h, is2=i, js2=j, ks2=k, ls2=l, ms2=m, ns2=n, bos2=bo, eos2=eo, gos2=go, ps2=p, qs2=q, rs2=r, s3=s, b2t=b4d, ct=bt, et=bdt, ft=abt, gt=b5d, ht=ab5d, it=b4d, jt=ab4d, k2t=t, lt=b5d, mt=bkt, nt=b4d, ot=hk, pt=ab4d, qt=ab4, rt=ab5d, s2t=t, t2=b4, bu=b5, cu=b5, eu=b5d, fu=ab5, gu=b5, hu=ab5, iu=b4, ju=ab4, ku=b5d, lu=b5, mu=b4d, nu=b4, o2u=b4, pu=ab4, qu=bfm, ru=ab5, s2u=u, tu=b4d, u2=b4, b2v=b5d, ev=bdv, bfv=ab5d, gv=abdf, bhv=ab5d, h2v=b5d, iv=b5d, jv=ab5d, fkv=fk2, lv=b4d, bmv=abdfm, fmv=ab4, hmv=ab4, nv=b5d, bov=abgm, hov=ahv, mov=ab5, o2v=aov, pv=ab5d, qv=kq, rv=ab4d, fsv=fks, bs2v=bv, btv=bkt, uv=b5d, bv2=bkv, fv2=fk2, hv2=ab5, k2v2=v2, mv2=bk2v, cov2=ab5, s2v2=v2, ov3=kov2, tv3=ktv2, v4=v2, b4w=b5, cw=b3w, ew=bdw, fw=ab3w, bhw=ab2w, iw=bgw, jw=ab2w, kw=b3dw, lw=b3w, mw=b5d, nw=b2w, ow=ab5, pw=ab5, b3qw=bfm, h2qw=fm, rw=ab4, tw=b5d, uw=b5, vw=b3dw, w2=b4, b2x=ab5, bfx=b5, gx=ab4, bhx=b5, h2x=ab5, ix=ab5, jx=b5, kx=dk2o, mx=bdk2o, nx=ab5, cox=acx, eox=aex, fox=afx, hox=ahx, o2x=aox, px=b5, qx=dfk2o, rx=b4, s2x=x, tx=dhk2, ux=ab5, vx=dkov, wx=ab4, hx2=acx2, ox2=ax2, cx3=cx, ex3=ex, fx3=fx, x4=x2, by=ab5d, cy=ab5d, ey=ab5, fy=b5d, gy=ab5d, hy=b5d, iy=ab4d, jy=b4d, ky=abk2, ly=ab5d, my=bdfm, ny=ab4d, oy=abko, py=b4d, qy=b4, ry=b5d, s2y=y, ty=abkt, uy=ab4d, vy=abkv, wy=ab5d, xy=abdk2o, y2=b4, b2z=ab4d, cz=ab5d, ez=bdz, fz=b5d, gz=gmo, hz=abz, iz=ab4d, jz=b4d, kz=abkv, lz=ab5d, mz=ab4, nz=ab4d, boz=abz, pz=b4d, qz=b4, rz=b5d, s2z=z, tz=abkt, uz=mp, vz=abkv, wz=ab5d, xz=b5d, yz=b4, z2=b4>

P = {a, b2, b4, ad, abf, bg, abh, h2, i, aj, adk, acdk, dhk, ak2, adk2, adk3, bdm, adfm, abdgm, n, o, ab2o, do, abgo, jo, bdko, k2o, dk2o, dmo, ao2, ado2, admo2, ap, dmp, adq, ab2dq, adiq, adk2q, abr, abds, acds, aes, dfs, bdgs, bdhs, adh2s, adjs, aks, abdk2s, acdk2s, dfk2s, dhk2s, ak3s, dos, b2dos, abdgos, dk2os, adfk2os, k3os, ado2s, dps, bdrs, as2, ads2, os2, dos2, ao2s2, ado2s2, akt, abst, adkst, u, aou, dsu, adv, dhv, adk2v, mv, acdov, dfov, akov, abdksv, admsv, dkosv, dk3osv, ads2v, atv, adstv, v2, cdkv2, aov2, dosv2, adkstv2, adv3, w, b3w, dw, adgw, ahw, adqw, ab2dqw, abdsw, b3dsw, adgsw, dhsw, qsw, bs2w, gs2w, bx, cx, bdx, cdx, adfx, ahx, dlx, abox, lox, ax2, adx2, adsx2, acdsx2, dfsx2, bx3, bdx3, dlx3, dsx3, doz, ado2z}

Phi = 1 a 1 1 b b b a a b2 ab ab c d ab2 b4 e f g h bf i j k ah l m n o p q bo r s t u v w x y z

Monoid Structure

Idempotent  |G|  |Arch|
144
b4 *161088
k21624
ak2o1624
o248
s288
o2s2816
v23268
aov21652
x21632