Details Page for 0.0704

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1226
P-Portion Size:   90
Tame?   No

MSV File: q-0.0704.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
9102
13123
14164
15244
20367
226212
2312817
2413017
2616220
2717821
29111484
30122690

(Click on a heap to see details)

Details for Q30(0.0704):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a2=1, b3=b, c4=c2, bd=bc, c3d=cd, d2=b2c2, be=abc, c3e=ce, c2de=de, e2=b2c2, c2f=ce, cdf=de, ef=ab2cf, b2f2=f2, df2=cf2, cf3=acf2, f4=af3, b2g=g, c2g=ab2c2, dg=cg, eg=acg, fg=ab2f, g3=ag2, eh=ab2ch, b2fh=fh, dfh=cfh, b2h2=h2, ch2=b2c, dh2=b2c, f2h2=f2, h3=b2h, c2i=cde, di=b2ci, ei=ab2ci, b2fi=fi, f2i=acf2, cgi=ab2ci, g2i=agi, b2hi=hi, b2i2=i2, fh2i2=fi2, ci4=ci2, i5=i3, bj=bc, cj=ade, dj=b2c2, ej=ab2c2, fj=b2cf, gj=cg, hj=b2ch, ij=b2ci, j2=b2c2, b2k=k, ck=abc2, dk=abc2, ek=bc2, f2k=abcf2, h2k=k, gik=aik, i4k=i2k, jk=abc2, k2=b2c2, b2l=l, c2l=bc3, dl=cl, el=acl, f2l=bcf2, cgl=acl, h2l=l, gil=ail, ci2l=bc2, fi3l=bcfi3, jl=cl, kl=abcl, cl2=b2c3, fl2=bcfl, gl2=al2, i2l2=b2c2, l3=bc3, b2m=m, dm=cm, em=acm, cfi2m=ac3m, jm=cm, fi2km=bci2m, i3lm=bci3m, c3m2=cm2, cfm2=acm2, f2m2=c2m2, gm2=am2, cim2=ac2m2, i2m2=c2m2, km2=abcm2, clm2=bc2m2, l2m2=c2m2, cm3=bchm2, hm3=bc2m2, lm3=chm2, m4=c2m2, b2n=n, cn=abc2, dn=abc2, en=bc2, h2n=n, in=abci, jn=abc2, kn=b2c2, ln=abcl, m2n=abcm2, n2=b2c2>

P = {a, b2, c, ac2, b2c2, c3, acd, bf, f2, af3, ag, g2, ah, ab2h, ac2h, acdh, abfh, gh, ag2h, h2, bfh2, agh2, g2h2, ab2ci, bfi, chi, abfhi, bfh2i, i2, bfi2, agi2, ahi2, abfhi2, ghi2, h2i2, agh2i2, aci3, bfi3, chi3, abfhi3, i4, bfi4, agi4, ahi4, abfhi4, ghi4, h2i4, agh2i4, bik, abhik, afhik, bi3k, abhi3k, afhi3k, bcl, abcfl, ahil, ahi3l, l2, abchm, bc3hm, acfhm, bf2hm, abf3hm, cg2hm, abim, bgim, bhim, abi3m, bgi3m, bhi3m, hkm, bfhkm, abg2hkm, ahlm, bg2hlm, achilm, bfhilm, bfhi2lm, m2, c2m2, afm2, h2m2, afh2m2, abilm2, bfim3, hmn, bfhmn, abf3hmn, abg2hmn}

Phi = 1 1 a a b 1 ab ab b bc bc 1 abc c d e b ab ab b2 f g h i j b2c k l bc m n

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c246
b2c216432
af3830
g248
h2810
g2h2816
i4818
agi4816
h2i41632
agh2i41632
c2m2 *16620