Details Page for 0.1421

Complete Solution is Known:

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

MSV File: q-0.1421.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 Q37(0.1421):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a2=1, b6=b4, bc=b4, c2=b4, d2=1, e=bd, b2f=ab5, cf=ab4, f2=b4, b2g=b3, cg=b4, fg=bf, g2=b4, b2h=ab3, ch=ab4, fh=b4, gh=abg, bh2=b3, h3=ab5, bi=b3, ci=b5, fi=ab5, gi=b5, hi=ab3, i2=b4, bj=ab3, cj=ab5, fj=b5, gj=ab3, hj=b3, ij=ab4, j2=b4, b2k=b5d, bfk=ab5d, gk=b4d, bhk=ab5d, h2k=b5d, ik=b5d, jk=ab5d, bk3=bk, ck3=ck, fk3=fk, hk3=hk, k4=k2, l=b3, b3m=b5d, cm=b5d, bhm=abgm, h2m=bgm, im=b2m, jm=abgm, km=bk2, m2=b4, bn=b3, cn=b5, fn=ab5, gn=b3, hn=ab3, in=b4, jn=ab4, kn=b5d, 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, fo2=afo, go2=ago, ho2=aho, jo2=b2o, ko2=ako, o3=ao2, bp=ab5, cp=ab5, fp=b5, gp=ab5, hp=b5, ip=ab4, jp=b4, kp=ab5d, np=ab4, op=abf, p2=b4, b4q=ab4d, cq=b3q, fq=ab3q, jq=bhq, bkq=ab4, hkq=b4, mq=ab4, nq=abhq, bgoq=b2oq, hoq=aboq, koq=fk2o, o2q=aoq, pq=abfm, q2=b4, b2r=ab5, cr=ab4, fr=b4, gr=br, hr=b4, ir=ab5, jr=b5, kr=ab4d, 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, ms2=m, ns2=n, bos2=bo, gos2=go, ps2=p, qs2=q, rs2=r, s3=s, b2t=b4d, ct=bt, ft=abt, gt=b5d, ht=ab5d, it=b4d, jt=ab4d, k2t=t, mt=bkt, nt=b4d, ot=hk, pt=ab4d, qt=ab4, rt=ab5d, s2t=t, t2=b4, bu=b5, cu=b5, fu=ab5, gu=b5, hu=ab5, iu=b4, ju=ab4, ku=b5d, mu=b4d, nu=b4, ou=ab4, pu=ab4, qu=bfm, ru=ab5, s2u=u, tu=b4d, u2=b4, b2v=b5d, bfv=ab5d, gv=abdf, bhv=ab5d, h2v=b5d, iv=b5d, jv=ab5d, fkv=fk2, 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, b3w=u, cw=u, fw=au, bhw=ab2w, iw=bgw, jw=ab2w, kw=du, mw=b5d, nw=b2w, ow=ab5, pw=ab5, h2qw=fm, rw=ab4, tw=b5d, uw=b5, vw=du, w2=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, 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, dsu, adv, dhv, adk2v, mv, acdov, dfov, akov, abdksv, admsv, dkosv, dk3osv, ads2v, atv, adstv, v2, cdkv2, aov2, dosv2, adkstv2, adv3, w, dw, adgw, ahw, adqw, ab2dqw, abdsw, adgsw, dhsw, qsw, bs2w, gs2w}

Phi = 1 a 1 1 b b b a a b2 ab ab c d ab2 b4 bd f g h bf i j k ah b3 m n o p q bo r s t u v w

Monoid Structure

Idempotent  |G|  |Arch|
144
b4 *16876
k21624
ak2o1624
o248
s288
o2s2816
v23268
aov21652