Details Page for 0.3072

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   334
P-Portion Size:   81
Tame?   No

MSV File: q-0.3072.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
1782
29123
32224
34306
38367
42408
46449
505210
546213
587214
628218
669419
7010624
7412025
7813431
8215032
8616639
9018440
9420248
9822249
10224258
10626459
11028669
11431070
11833481

(Click on a heap to see details)

Details for Q70(0.3072):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a2=1, b14=b12, b2c=ab4, c2=b4, b2d=ab6, cd=b6, d2=b8, b2e=b7, ce=ab7, de=ab9, e2=b10, b2f=ab7, ef=abdf, f2=b10, b2g=bcf, cg=abcf, dg=ab10, eg=b11, fg=ab11, g2=b12, b3h=abdf, ch=ab2h, dh=b11, eh=ab12, fh=b12, gh=ab13, h2=b12, b5i=b13, ci=ab2i, di=ab4i, ei=b13, fi=ab13, gi=b12, hi=ab13, i2=b12, b5j=ab4i, cj=ab2j, dj=ab4j, ej=ab4i, fj=b4i, gj=ab13, hj=b12, ij=ab13, j2=b12, b4k=ab3j, ck=ab2k, dk=b3j, ek=ab4j, fk=b4j, gk=b4i, hk=ab13, ik=b12, jk=ab13, k2=b12, b3l=ab2k, cl=ab2l, dl=b3k, el=b3j, fl=ab3j, gl=b4j, hl=b4i, il=ab13, jl=b12, kl=ab13, l2=b12, b2m=abl, cm=bl, dm=ab2k, em=b3k, fm=ab3k, gm=ab3j, hm=b4j, im=b4i, jm=ab13, km=b12, lm=ab13, m2=b12, bn=am, cn=bm, dn=ab2l, en=ab2k, fn=b2k, gn=ab3k, hn=ab3j, in=b4j, jn=b4i, kn=ab13, ln=b12, mn=ab13, n2=b12, bo=an, co=am, do=bl, eo=ab2l, fo=b2l, go=b2k, ho=ab3k, io=ab3j, jo=b4j, ko=b4i, lo=ab13, mo=b12, no=ab13, o2=b12, bp=ao, cp=an, dp=bm, ep=bl, fp=abl, gp=b2l, hp=b2k, ip=ab3k, jp=ab3j, kp=b4j, lp=b4i, mp=ab13, np=b12, op=ab13, p2=b12>

P = {a, b2, b4, b6, b8, b10, b12, ae, bf, abg, h, b2h, abi, ab3i, j, b2j, b4j, abk, ab3k, l, b2l, abm, n, p}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b2 abc bc abc ab3 d ad d b4 e ae e f abe g abe b6 bg h bg ab7 bh i bh b8 bi j bi ab9 bj k bj b10 bk l bk ab11 bl m bl b12 bm n bm ab13 am o am b12 an p an ab13 ao

Monoid Structure

Idempotent  |G|  |Arch|
122
b12 *4104