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 Q30(0.4124):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | 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>

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *8122
c244
e224
cj44