Details Page for 0.0544

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1674
P-Portion Size:   137
Tame?   No

MSV File: q-0.0544.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
562
9102
12184
20469
227014
238016
2776663
2984671
3090276
311218103
321336116
331402121
341562131
351674137

(Click on a heap to see details)

Details for Q35(0.0544):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a2=1, b4=b2, bc2=b, c3=c, b2d=ab2, bd2=b3, c2d2=d2, d3=ab2, b2e=ab2, bde=b3, d2e=ad2, e2=ae, b2f=b2c, c2df=df, c2ef=ef, c2f2=f2, d2f2=b2, def2=cd2f, f3=b2c, bg=bd, c2dg=dg, d2g=ab2, c2eg=eg, deg=ab2, df2g=b2, ef2g=b2, g2=dg, b2h=b3c, bdh=ab2c, cdh=ab3, d2h=b3c, beh=abh, ceh=ach, deh=adh, c2fh=fh, dfh=ab3, efh=afh, gh=ab3c, h2=b2, b2i=ab3c, c2di=di, d2i=ab3c, ei=abce, cgi=cdi, dgi=ab3c, f2gi=df2i, hi=abch, i2=b2, c2dj=dj, dhj=ab3cj, bf2hj=d2fj, bdf2ij=dfgj, b2j2=b2, d2j2=d2, dej2=c2de, dgj2=dg, egj2=eg, bf2j3=bf2j, ef2j3=ef2j, ehj3=ahj3, f2hj3=f2hj, dj4=dj2, ej4=ej2, f2j4=f2j2, gj4=gj2, hj4=aehj2, bj5=bj3, fj5=fj3, j6=j4, bk=abcd, dk=ad2f, c2ek=ek, c2fk=fk, efk=abfh, c2gk=gk, egk=efg, fgk=acdfg, hk=b3, cik=adi, fik=acdfi, gik=b3, f2jk=acdf2j, gj2k=gk, fj4k=fj2k, ij4k=ij2k, k2=b2, bl=ab3c, c2l=l, dl=cd2, efl=afl, f2l=abf2h, gl=b2c, hl=ab3, il=b3, fj4l=fj2l, kl=ab2, l2=b2, b2m=ab2c, bdm=abdf, c2dm=dm, d2m=ab2c, bem=abef, dem=abcfhj2, c2fm=fm, dfm=adf2, efm=aef2, f2m=ab2c, dgm=ab2c, egm=aefg, fgm=af2g, bhm=abfh, dhm=b3, ehm=ahm, fhm=af2h, dim=adfi, gim=afgi, bfj3m=bfjm, j4m=j2m, c2km=km, ekm=bfh, fkm=af2k, gkm=b2, ikm=cdfi, elm=abfh, flm=bf2h, bm2=abfm, c2m2=m2, dm2=df2, fm2=b2c, gm2=f2g, im2=afim, km2=f2k, lm2=abf2h, m3=ab2c, bn=bd, dn=b2, c2en=en, f2n=f2g, c2gn=gn, egn=agn, fgn=d2f, hn=ab3c, in=gi, gj2n=gn, ej3n=ejn, j4n=j2n, c2kn=kn, ekn=akn, fkn=ab2, gkn=d2f, j2kn=kn, ln=b2c, emn=aefj2n, fmn=af2g, gmn=ad2f, jmn=afjn, kmn=b2, m2n=f2g, n2=b2, bo=bd, do=b2, eo=cefg, f2o=f2g, go=bdfij2, cho=ab3, fho=ab3, io=gi, hj3o=ab3cj, fj4o=fj2o, j5o=j3o, ko=ab2c, lo=b2c, mo=afo, no=cd2f, o2=b2, bp=bd, dp=b2, c2fp=fp, efp=bcfh, f2p=acf2k, gp=bdfij2, chp=ab3, fhp=ab3, c2ip=ip, ehjp=ahjp, hj3p=hjp, j4p=j2p, kp=ab2c, lp=b2c, c2mp=mp, emp=abcfh, hmp=b3, fj3mp=fjmp, m2p=afmp, np=cd2f, op=b2, p2=b2, bq=b2c, c2q=q, dq=bdf, efq=bef2, f2q=b3c, gq=bdf, ehq=ahq, fhq=bf2h, ej3q=ejq, fj3q=fjq, hj3q=hjq, j5q=j3q, kq=abcdf, lq=ab3, emq=abef2, fmq=bcdf2, hmq=abf2h, j3mq=jmq, m2q=abcdf2, nq=bdf, oq=bdf, pq=bdf, q2=b2>

P = {a, b2, c2, acd, d2, ae, ac2e, cde, acf, df, adef, f2, aef2, ag, ac2g, dg, eg, cfg, cefg, af2g, bch, adh, bfh, bcf2h, abci, bcdi, abfi, bdfi, abcf2i, bcdf2i, acdj, cdej, adfj, defj, j2, c2j2, acdj2, aej2, ac2ej2, dfj2, f2j2, aef2j2, agj2, ac2gj2, cfgj2, af2gj2, achj2, afhj2, acf2hj2, bcij2, bfij2, bcf2ij2, acdj3, adfj3, bhj3, bcfhj3, bdij3, bcdfij3, acdf2ij3, afgij3, j4, c2j4, abcij4, abfij4, ij5, c2ij5, cf2k, acgk, jk, c2jk, j3k, c2j3k, aej3k, cfj3k, aij3k, acl, cel, aj3l, ej3l, acfj3l, acm, cem, afm, cgm, bim, bcfim, djm, acj2m, cej2m, afj2m, cgj2m, hj2m, c2hj2m, bij2m, bcfij2m, dj3m, hj3m, acij3m, afij3m, lm, m2, aem2, j2m2, aej2m2, achj2m2, achj3m2, acn, cen, cgn, cgjn, aj2n, ac2j2n, ej2n, acfj2n, cefj2n, cmn, acjo, acfj2o, ahj2o, aj4o, ac2j4o, ep, c2ep, ahp, acjp, ahj2p, acj3p, cej3p, afj3p, fmp, j3mp, hq, aiq, acfiq, ij2q, cfij2q, cimq}

Phi = 1 1 a 1 a b b b ab c c c d e e bc bd b b b f c g h bc bc i j ab k l m n o p q bef

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *161614
c244
ae22
ac2e44
aej246
ac2ej2812
j4410
c2j4820