Details Page for 0.4124

Complete Solution is Known:

Period:   38
Preperiod:   56
Quotient Size:   138
P-Portion Size:   18
Tame?   No

MSV File: q-0.4124.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
7102
9184
10204
13305
14466
198812
219012
2410214
2711615
3013618
3313818

(Click on a heap to see details)

Details for Q33(0.4124):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a2=1, b4=b2, b2c2=b2, c3=c, bd=ab3, d2=b2, be=ab, ce=ac, de=ad, e3=ae2, b2f=ab3c, cf=abc2, ef=af, f2=b2, b2g=ab3, dg=b3, e2g=aeg, bg2=b3, cg2=b2c, eg2=ag2, fg2=abfg, g3=ab3, b2h=b2c, bc2h=bh, c2dh=dh, eh=ah, fh=abch, g2h=b2c, h2=b2, bi=ab3, ci=cd, di=b2, ei=ai, gi=b3, hi=dh, i2=b2, bj=bc, c2j=j, dj=cd, ej=aj, fj=abc2, gj=cg, hj=ch, ij=cd, j2=cj, b2k=ab3c, ck=abc2, dk=b3c, ek=ak, g2k=abgk, bhk=ab2, ik=bgk, jk=abc2, k2=b2, bl=b2, cl=b3c, dl=ab3, el=al, fl=bf, gl=ag2, hl=b3c, il=ab3, jl=b3c, kl=bk, l2=b2, bm=abch, c2m=m, dm=acdh, em=am, fm=bh, gm=acgh, hm=ab2c, im=acdh, km=bh, lm=ab3, m2=b2, bn=ab2c, cn=abch, en=an, dfn=bfgk, gn=abgh, hn=ab3, in=dn, jn=abch, kn=abfgk, ln=ab2c, mn=b3c, n2=b2, bo=ab3, c2o=o, do=abc2g, eo=ao, fo=b3c, go=b3, io=abc2g, jo=co, ko=b3c, lo=ab3, no=b3c, o2=b2, bp=ab2c, cp=ab3, dp=dn, ep=ap, fp=fn, gp=b2c, hp=ab3, ip=dn, jp=ab3, kp=abfgk, lp=ab2c, mp=b3c, np=b2, op=b3c, p2=b2>

P = {a, b2, c2, acd, e2, ag, abcg, fg, g2, ch, cj, ak, afgk, ghk, cm, dn, ao, acho}

Phi = 1 1 a a b b ab c c d e b3 f g h bc2 i cdh j k abc l ahk ab2 m abk abh n b3 b3 o b2c b2c p ab2 bc2 b3 ab3c b2c b2c ab2 cho b3 bch p b2c b2c o ab2 b3 ab3c ab3c b2c b3 ab2 cho b2c ab3c ab3c b3 b3 ab2 ab2 b2c ab3c ab3c b3 b3 ab2 b2c b2c ab3c ab2 b3 b3 ab3c b2c b2c ab2 ab2 b3 b3 ab3c b2c b2c ab2 ab2 b3 ab3c ab3c b2c b3 ab2 ab2 b2c ab3c ab3c b3 b3 ab2 ab2 b2c ab3c ab3c b3 b3 ab2 b2c b2c ab3c ab2 b3 b3 ab3c b2c b2c ab2 ab2 b3 b3 ab3c b2c b2c ab2 ab2 b3 ab3c ab3c b2c b3 ab2 ab2 b2c ab3c ab3c b3 b3 ab2 ab2 b2c ab3c ab3c b3 b3 ab2 b2c b2c ab3c ab2 b3 b3 ab3c b2c b2c ab2 ab2 b3 b3 ab3c b2c b2c ab2 ab2 b3 ab3c ab3c b2c b3 ab2 ab2 b2c ab3c ab3c b3 b3 ab2 ab2 b2c ab3c ab3c b3 b3 ab2 b2c b2c ab3c ab2 b3 b3 ab3c b2c b2c ab2

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *8124
c244
e224
cj44