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 Q78(0.3072):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a2=1, b16=b14, 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=b14, b5i=b13, ci=ab2i, di=ab4i, ei=b13, fi=ab13, gi=b14, hi=ab15, i2=b14, b6j=ab15, cj=ab2j, dj=ab4j, ej=b5j, fj=ab5j, gj=ab15, hj=b14, ij=ab15, j2=b14, b6k=ab5j, ck=ab2k, dk=ab4k, ek=b5k, fk=ab5k, gk=ab5j, hk=ab15, ik=b14, jk=ab15, k2=b14, b5l=ab4k, cl=ab2l, dl=ab4l, el=ab4k, fl=b4k, gl=ab5k, hl=ab5j, il=ab15, jl=b14, kl=ab15, l2=b14, b4m=ab3l, cm=ab2m, dm=b3l, em=ab4l, fm=b4l, gm=b4k, hm=ab5k, im=ab5j, jm=ab15, km=b14, lm=ab15, m2=b14, b3n=ab2m, cn=ab2n, dn=b3m, en=b3l, fn=ab3l, gn=b4l, hn=b4k, in=ab5k, jn=ab5j, kn=ab15, ln=b14, mn=ab15, n2=b14, b2o=abn, co=bn, do=ab2m, eo=b3m, fo=ab3m, go=ab3l, ho=b4l, io=b4k, jo=ab5k, ko=ab5j, lo=ab15, mo=b14, no=ab15, o2=b14, bp=ao, cp=bo, dp=ab2n, ep=ab2m, fp=b2m, gp=ab3m, hp=ab3l, ip=b4l, jp=b4k, kp=ab5k, lp=ab5j, mp=ab15, np=b14, op=ab15, p2=b14, bq=ap, cq=ao, dq=bn, eq=ab2n, fq=b2n, gq=b2m, hq=ab3m, iq=ab3l, jq=b4l, kq=b4k, lq=ab5k, mq=ab5j, nq=ab15, oq=b14, pq=ab15, q2=b14, br=aq, cr=ap, dr=bo, er=bn, fr=abn, gr=b2n, hr=b2m, ir=ab3m, jr=ab3l, kr=b4l, lr=b4k, mr=ab5k, nr=ab5j, or=ab15, pr=b14, qr=ab15, r2=b14>

P = {a, b2, b4, b6, b8, b10, b12, b14, ae, bf, abg, h, b2h, abi, ab3i, j, b2j, b4j, abk, ab3k, ab5k, l, b2l, b4l, abm, ab3m, n, b2n, abo, p, r}

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 bn o bn b14 bo p bo ab15 ao q ao b14 ap r ap ab15 aq

Monoid Structure

Idempotent  |G|  |Arch|
122
b14 *4132