Details Page for 0.4145

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1180
P-Portion Size:   117
Tame?   No

MSV File: q-0.4145.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
7102
9184
10204
17244
18446
228012
2335247
2437250
2638051
2844454
2958067
3276484
3382890
341116111
371180117

(Click on a heap to see details)

Details for Q33(0.4145):

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, ch=ah, dh=ah, eh=ah, fh=ah, g2h=h, h2=c2, b2i=i, c2i=bgh, gi=bh, hi=bc2g, i3=i, b2j=j, c2j=bc2, cfj=aej, dfj=aej, f2j=afj, hj=bh, cdij=abd2fi, j2=c2, b2k=k, ck=bd2f, dk=ak, ek=abc2, fk=abc2, hk=bh, jk=c2, k2=c2, b2l=l, cl=abcdgj, dl=al, el=ac2g, fl=ac2g, g2l=l, hl=gh, il=bh, jl=bc2g, kl=bc2g, l2=c2, b2m=m, c2m=bgh, cdm=acm, d2m=adm, em=abgh, cfm=bgh, gm=bh, hm=bc2g, i2m=m, cjm=abdfm, fjm=eij, km=adjm, lm=bh, m2=c2, b2n=n, c2n=bgh, cdn=acm, d2n=adm, cf2n=cf2i, gn=bh, hn=bc2g, i2n=n, djn=ajm, ejn=eij, kn=adjm, ln=bh, mn=aein, cn2=cf2i2, dn2=cf2i2, en2=cf2i2, jn2=afijn, n3=f2in2, b2o=o, c2o=bc2, cdo=bc2, eo=co, cfo=aco, dfo=aco, f2o=afo, ho=bh, d2ijo=dfm, ko=d2jo, lo=bc2g, mo=acio, no=afio, o2=c2, b2p=p, c2p=abc2g, cdp=acp, d2p=adp, ep=bc2g, cfp=abc2g, f2p=egj, g2p=p, hp=abgh, ip=ah, cjp=abdfp, djp=ajp, fjp=c2g, lp=bgkp, mp=ah, np=ah, op=cgjo, p2=c2>

P = {a, b2, abc, c2, ab2d, bcd, d2, ae, cf, f2, acf2, acg, cdg, afg, dfg, ad2fg, g2, abcg2, adg2, bcdg2, d2g2, aeg2, f2g2, bci, abcdi, bfi, abdfi, bd2fi, i2, abci2, adi2, bcdi2, d2i2, aei2, cfi2, f2i2, acf2i2, abj, bfj, bgj, abdgj, bd2gj, abegj, abfgj, aij, cij, dij, ad2ij, fij, abi2j, bfi2j, bk, bg2k, bi2k, gl, bim, abcim, abdim, bin, abcin, abdin, aein, fin, abijn, bfijn, n2, f2n2, abo, bfo, bgo, abcgo, abdgo, bd2go, abfgo, abi2o, bfi2o, ajo, fjo, gjo, acgjo, adgjo, d2gjo, afgjo, ai2jo, fi2jo, abp, bdp, bfp, cgp, agkp}

Phi = 1 1 a a bh bh abh b b c d h ah abh bh bh e f g ah h h i j k c2g l ac2g m n abgh bc2 o p

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *16676
d2410
f248
g288
d2g2816
f2g2816
i288
d2i2816
f2i2816
f2n2848