Details Page for 0.1623

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1596
P-Portion Size:   198
Tame?   No

MSV File: q-0.1623.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
10102
14184
16367
176012
1926032
2028834
2135046
2241855
2347463
24834103
25876108
261224136
271474180
281596198

(Click on a heap to see details)

Details for Q24(0.1623):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a2=1, b4=b2, bc2=b3, c3=b2c, b2d=b3c, bcd=b2, c2d2=b2, bd3=cd2, cd3=bd2, d5=d3, b2e=ab2, bce=ab3c, c2e=ab2, bd2e=cde, cd2e=bde, d4e=d2e, e2=b2, b2f=b2, bcf=bc, c2f=c2, df=d, bef=be, f2=f, b2g=ab3, c2g=ab3, bd2g=cdg, cd2g=bdg, beg=b2, ceg=bc, bcg3=bcg, bdg3=bdg, cdg3=cdg, bfg3=bfg, g4=g2, b2h=b2c, bch=b3, c2h=b2c, dh=bd2, ceh=ab2, efh=eh, cgh=ab3, egh=abeh, bfgh=bcg, bg2h=bcg2, h2=b2, b2i=b3c, cd2i=bdi, d4i=d2i, bfi=bi, cfgi=cgi, efgi=egi, bg3i=bgi, chi=c2d, behi=acfh, bghi=bcgi, bci2=c2d, c2i2=b2, di2=c2d, fi2=i2, bgi2=abcg2i, cg2i2=b2c, eg2i2=ab2, bhi2=acgi2, ghi2=cgi2, g2i3=b3c, i4=b2, b2j=b3c, bcj=b2, c2j=b3c, cdj=cd2, d2j=d3, ej=de, bfj=bj, cfj=cj, bgj=bdg, cgj=cdg, dgj=d2g, hj=bdj, dij=d2i, i2j=c2d, bdj2=bd, fj2=j2, g2j2=d2g2, gij2=d2gi, bj3=bj, cj3=bdj, dj4=dj2, j5=j3, bk=b3, ck=b2c, d2ek=ek, efk=ek, d2gk=bcgi, egk=b3, g3k=gk, ehk=ab2c, fhk=b2c, ghk=ab3c, fik=ik, hik=b3, i2k=b2, jk=dk, k2=b2, b2l=ab2c, bcl=ab3, c2l=ab2c, dl=abd2, bel=abeh, cel=ch, cfl=abhi, cgl=abcgi, bfgl=b2c, efg2l=b2c, bg3l=eg2l, eg3l=bg2l, chl=ab2c, ehl=b2, bfhl=ab3, fghl=abcgi, g2hl=abcg2i, cil=cgi2, bgil=b3, fgil=gil, g2il=abdg2i, hil=ab3c, bi2l=cgi2, gi2l=acgi2, i3l=ahi3, jl=abdj, kl=abgl, l2=b2, b2m=b2c, bcm=b3, c2m=b2c, dm=bd2, bem=ab3c, cem=ab2, bfm=b3c, cfm=cfh, efm=bde, egm=bm, bg2m=bm, g3m=gm, hm=cg2m, bim=b2, cim=c2d, eim=bdei, gim=bdgi, i3m=b3, jm=bdj, km=abgm, blm=cgm, clm=ab2c, elm=cg2m, flm=ab2, g2lm=lm, ilm=ab3c, m2=b2, b2n=b3, bcn=b2c, c2n=b3, bd2n=cdn, bden=dek, cden=ek, bfn=bn, bgn=ad2eg3, cgn=ad3eg3, d2egn=aek, efgn=egn, d4g2n=d2g2n, deg2n=bcg, bhn=b2c, chn=b3, ehn=dek, ghn=ad3eg3, cefin=deik, fgin=gin, bi2n=acgi3, ci2n=b3c, gi2n=ac2di, hi2n=b3c, i3n=b2c, fjn=jn, g2jn=dg2n, gijn=dgin, cj2n=fhn, gj4n=gj2n, kn=aeg2n, bln=ab2c, cln=ab3, gln=d3eg3, hln=ab3, eiln=acein, i2ln=ab3c, bmn=b2c, cmn=b3, fmn=bdn, i2mn=b3c, lmn=ab3, bn2=b3, cn2=b2c, d2n2=b2, en2=ab2, fn2=n2, gn2=eg2n, hn2=b2c, din2=afhl, i2n2=b2, jn2=dn2, ln2=ab2c, mn2=b2c, n3=b3>

P = {a, b2, c2, d2, d4, ade, ad3e, f, g, abdg, afg, ag2, d2g2, d4g2, adeg2, ad3eg2, fg2, g3, afg3, ch, afh, fgh, fg3h, bi, acdi, d3i, dgi, ad3gi, egi, bg2i, d3g2i, cg3i, ad3g3i, abhi, ag3hi, i2, agi2, g2i2, ahi2, bi3, cgi3, dj, gij, fgij, fg3ij, j2, dj3, ij3, j4, ak, d2k, d4k, adek, fk, dg2k, d3ik, al, gl, ag2l, afg2l, g3l, afhl, aghl, bil, aegil, m, afm, agm, fgm, g2m, ai2m, lm, aglm, abn, cdn, acen, cefn, adgn, ad4gn, degn, ag3n, ad2g3n, eg3n, afg3n, cin, bdin, acein, efin, ad3gin, adg2in, dg3in, ad3g3in, hin, bjn, agjn, abj2n, aij2n, eln, ailn, filn, emn, ag2mn, n2}

Phi = 1 a 1 1 b b ab a a 1 c b b d e f g h b i j k l m n

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *8752
d4414
f22
g246
d4g2842
fg246
j4410