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 Q24(0.3471):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a2=1, b4=b2, b3c=bc, c3=c, bd=abc, c2d=d, d2=acd, bce=abc, de=ace, e2=b2c2, b3f=bf, cf=abc, df=bc, b2ef=ef, b2f2=f2, ef4=ab2c2, f5=abf4, b2fg=fg, bcg2=bc, b3eg2=beg2, ef2g2=ab2c2, f3g2=abf2g2, g4=g2, bh=bc, dh=ach, fh=abc, cgh=acdg3, g3h=gh, h2=ch, bi=abc, ci=ach, di=ch, fi=bc, gi=agh, hi=ach, i2=ch, bj=bc, fj=abc, c2gj=gj, dgj=acgj, egj=ceg3, g3j=gj, c2hj=hj, ehj=cej, ghj=cgj, c2j2=j2, dj2=acj2, hj2=cj2, 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, hm=bc, im=abc, jm=bc, km=b2cg, lm=ab2c2, m2=b2c2, bcn=bcg, dg2n=acg2n, efg2n=bc2g, f2g2n=abfg2n, c2hn=hn, ghn=cg3n, in=ahn, c2jn=jn, gj2n=cgjn, kn=bc, b2emn=aeln, b2gmn=agln, beg2mn=abeg2ln, ef2n2=ef2, f4n2=b2c2, g2n2=b2c2, gjn2=b2cg, eln2=ef3gn, gln2=abc2g, efn3=efn, b2n4=b2n2, bfn4=bfn2, f2n4=f2n2, fgn4=fgn2, hn4=hn2, ejn4=ejn2, j2n4=j2n2, ln4=ln2, n6=n2>

P = {a, b2, ac, ac2, b2c2, cd, be, b3e, af, ab2f, f2, aef2, abf3, bef3, f4, cg, adg, b2eg, aceg, bfg, abefg, ag2, b2g2, acg2, ac2g2, cdg2, beg2, afg2, f2g2, cg3, adg3, b2eg3, aceg3, bfg3, abefg3, ach, gh, eij, j2, g2j2, bk, abek, ajk, k2, abl, bel, bg2l, bm, b3m, em, ab3em, abg2m, ab3g2m, eg2m, beg3m, aen, c2en, fn, b2fn, abgn, ab3gn, begn, b3egn, aefgn, f2gn, bef2gn, af3gn, f4gn, abg3n, ab3g3n, ab2eg3n, fg3n, cehn, cjn, adjn, cgjn, hjn, ej2n, bgln, amn, agmn, egmn, ag3mn, eg3mn, n2, b2n2, c2n2, acdn2, ben2, b3en2, afn2, ab2fn2, f2n2, abf3n2, aegn2, chn2, acejn2, j2n2, bln2, abmn2, ab3mn2, en3, c2en3, b2fn3, gn3, ab2gn3, c2gn3, acdgn3, aegn3, b3egn3, ac2egn3, abfgn3, f2gn3, af3gn3, cehn3, cjn3, adjn3, hjn3, ej2n3, ab2mn3, bgmn3, abegmn3, n4, c2n4, acdn4, ben4, afn4, abmn4, emn4, aen5, c2en5, fn5, agn5, acgn5, ac2gn5, cdgn5, begn5, djn5, amn5, bgmn5, egmn5}

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 n

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
c244
b2c2 *16746
acd44
f4418
g246
b2g2818
c2g2812
acdg2816
f2g2832
ch48
j2420
g2j2816
k2810
b2n2822
chn2812
j2n2864
n4810
c2n41620
acdn41620