Details Page for 0.3471

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1066
P-Portion Size:   141
Tame?   No

MSV File: q-0.3471.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
7102
10123
11164
15327
16408
178014
188815
2012018
2116827
2219230
2325238
241066141

(Click on a heap to see details)

Details for Q23(0.3471):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a2=1, b4=b2, b3c=bc, c3=c, bd=abc, c2d=d, d2=acd, bce=abc, de=ace, e2=b2c2, b2f=f, cf=abc, df=bc, f2=b2c2, b3g=bg, bcg2=bc, ceg2=ce, fg2=f, cg3=cg, dg3=dg, g4=g2, bh=bc, ch=acd, dh=cd, fh=abc, eg2h=eh, g3h=gh, h2=acd, bi=abc, ci=cd, di=acd, fi=bc, gi=agh, hi=cd, i2=acd, bj=bc, dj=acj, cej=c2e, fj=abc, c2gj=gj, egj=ceg, g3j=gj, hj=cj, c2j2=j2, ej2=c2e, g2j2=j2, ij2=acj2, j3=cj2, b3k=bk, bck=b2c2g, dk=ack, b2ek=ek, cek=abc2g, fk=ab2cg, gk=bc, hk=ck, ik=ack, c2jk=jk, ejk=abc2g, j2k=bcg, bk2=bc2, c2k2=k2, ek2=ab2c2, k3=c2k, b2l=l, cl=abc, dl=bc, fl=b2c2, g3l=gl, hl=abc, il=bc, jl=abc, kl=ab2cg, l2=b2c2, cm=bc, dm=abc, fm=ab2c2, beg2m=abef, hm=bc, im=abc, jm=bc, km=b2cg, lm=ab2c2, m2=b2c2>

P = {a, b2, ac, ac2, b2c2, cd, be, b3e, af, cg, adg, b2eg, aceg, bfg, abefg, ag2, b2g2, acg2, ac2g2, cdg2, beg2, b2eg3, gh, eij, j2, bk, abek, ajk, k2, abl, bel, bg2l, bm, b3m, em, ab3em, abg2m, eg2m}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
c244
b2c2 *16160
acd48
g246
b2g2812
c2g288
acdg2812
j2824
k2810