Details Page for 0.4164

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   896
P-Portion Size:   97
Tame?   No

MSV File: q-0.4164.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
7102
9184
10204
17244
18446
228012
2335247
2437250
2638051
2844454
2958067
3276484
3382890
3789697

(Click on a heap to see details)

Details for Q37(0.4164):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a2=1, b3=b, b2c=c, c3=ac2, c2d=ac2, b2d2=d2, cd2=acd, d3=ad2, b2e=e, ce=c2, de=c2, e2=c2, b2f=f, c2f=ac2, cdf=ac2, ef=cf, df2=cf2, f3=af2, b2g=g, cfg=aeg, c2g2=c2, g3=g, b2h=h, cgh=agh, dgh=agh, egh=agh, fgh=agh, g2h=c2h, c2h2=c2, gh2=c2g, ch3=ch, dh3=dh, eh3=eh, h4=h2, b2i=i, c2i=bc2, cfi=aei, dfi=aei, f2i=afi, cdhi=abd2fh, ghi=bgh, i2=c2, b2j=j, cj=bd2f, dj=aj, ej=abc2, fj=abc2, ghj=bgh, h3j=hj, ij=c2, j2=c2, b2k=k, ck=abcdgi, dk=ak, ek=ac2g, fk=ac2g, g2k=k, hk=gh, ik=bc2g, jk=bc2g, k2=c2, b2l=l, c2l=c2h, cdl=acl, d2l=adl, el=ac2h, cfl=c2h, gl=gh, h2l=l, cil=abdfl, fil=ehi, jl=adil, kl=gh, l2=c2, b2m=m, c2m=c2h, cdm=acl, d2m=adl, cf2m=cf2h, gm=gh, h2m=m, dim=ail, eim=ehi, jm=adil, km=gh, lm=aehm, cm2=cf2h2, dm2=cf2h2, em2=cf2h2, im2=afhim, m3=f2hm2, b2n=n, c2n=bc2, cdn=bc2, en=cn, cfn=acn, dfn=acn, f2n=afn, ghn=bgh, d2hin=dfl, jn=d2in, kn=bc2g, ln=achn, mn=afh3n, n2=c2, b2o=o, c2o=abc2g, cdo=aco, d2o=ado, eo=bc2g, cfo=abc2g, f2o=egi, g2o=o, ho=abgh, cio=abdfo, dio=aio, fio=c2g, ko=bgjo, lo=abgh, mo=abgh, no=cgin, o2=c2, b2p=p, cp=c2h, dp=c2h, ep=c2h, fp=ap, gp=agh, h2p=ac2h, jp=abc2h, kp=agh, lp=ac2, mp=ac2, op=bgh, p2=ahp>

P = {a, b2, abc, c2, ab2d, bcd, d2, ae, cf, f2, acf2, acg, cdg, afg, dfg, ad2fg, g2, abcg2, adg2, bcdg2, d2g2, aeg2, f2g2, bch, abcdh, bfh, abdfh, bd2fh, h2, abch2, adh2, bcdh2, d2h2, aeh2, cfh2, f2h2, acf2h2, bfh3, abi, bfi, bgi, abdgi, bd2gi, abegi, abfgi, ahi, chi, dhi, ad2hi, fhi, abh2i, bfh2i, ah3i, fh3i, bj, bg2j, bh2j, gk, bhl, abchl, abdhl, bhm, abchm, abdhm, aehm, fhm, abhim, bfhim, m2, f2m2, abn, bfn, bgn, abcgn, abdgn, bd2gn, abfgn, abh2n, bfh2n, ain, fin, gin, acgin, adgin, d2gin, afgin, ah2in, fh2in, abo, bdo, bfo, cgo, agjo, ahp, bip, bnp, inp}

Phi = 1 1 a a gh gh agh b b c d bgh abgh agh gh gh e f g abgh bgh bgh h i j c2g k ac2g l m ac2h bc2 n o bgh bgh abgh p

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *16732
d2410
f248
g288
d2g2816
f2g2816
h2812
d2h2816
f2h2824
f2m2848