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 Q31(0.0544):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | 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, eg=b2, df2g=b2, g2=dg, b2h=b3c, bdh=ab2c, cdh=ab3, d2h=b3c, eh=ah, c2fh=fh, dfh=ab3, 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, bf2j3=bf2j, ef2j3=ef2j, f2hj3=f2hj, dj4=dj2, ej4=ej2, f2j4=f2j2, gj4=gj2, hj4=hj2, bj5=bj3, fj5=fj3, j6=j4, bk=abcd, dk=ad2f, c2ek=ek, c2fk=fk, efk=abfh, gk=acdg, hk=b3, cik=adi, fik=acdfi, f2jk=acdf2j, 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, fgm=af2g, bhm=abfh, dhm=b3, fhm=af2h, dim=adfi, gim=afgi, bfj3m=bfjm, j4m=j2m, c2km=km, ekm=bfh, fkm=af2k, ikm=cdfi, elm=abfh, flm=bf2h, bm2=abfm, c2m2=m2, dm2=df2, fm2=b2c, gm2=f2g, im2=afim, km2=f2k, lm2=abf2h, m3=ab2c>

P = {a, b2, c2, acd, d2, ae, ac2e, cde, acf, df, adef, f2, aef2, ag, ac2g, dg, cfg, 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, 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}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *161158
c244
ae22
ac2e44
aej246
ac2ej2812
j4410
c2j4820