Details Page for 0.7122

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   364
P-Portion Size:   91
Tame?   No

MSV File: q-0.7122.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
1182
18123
22184
26246
30327
344010
385011
426015
467216
508421
549822
5811228
6212829
6614436
7016237
7418045
7820046
8222055
8624256
9026466
9428867
9831278
10233879
10636491

(Click on a heap to see details)

Details for Q94(0.7122):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a2=1, b23=b21, bc=ab3, c2=b4, b2d=b5, cd=ab5, d2=b6, b3e=b7, ce=ab2e, de=b7, e2=b8, b4f=b9, cf=ab2f, df=b3f, ef=b9, f2=b10, b5g=b11, cg=ab2g, dg=b3g, eg=b4g, fg=b11, g2=b12, b6h=b13, ch=ab2h, dh=b3h, eh=b4h, fh=b5h, gh=b13, h2=b14, b7i=b15, ci=ab2i, di=b3i, ei=b4i, fi=b5i, gi=b6i, hi=b15, i2=b16, b8j=b17, cj=ab2j, dj=b3j, ej=b4j, fj=b5j, gj=b6j, hj=b7j, ij=b17, j2=b18, b9k=b19, ck=ab2k, dk=b3k, ek=b4k, fk=b5k, gk=b6k, hk=b7k, ik=b8k, jk=b19, k2=b20, b10l=b21, cl=ab2l, dl=b3l, el=b4l, fl=b5l, gl=b6l, hl=b7l, il=b8l, jl=b9l, kl=b21, l2=b22, b11m=b21, cm=ab2m, dm=b3m, em=b4m, fm=b5m, gm=b6m, hm=b7m, im=b8m, jm=b9m, km=b10m, lm=b21, m2=b22, b10n=b9m, cn=ab2n, dn=b3n, en=b4n, fn=b5n, gn=b6n, hn=b7n, in=b8n, jn=b9n, kn=b9m, ln=b10m, mn=b21, n2=b22, b9o=b8n, co=ab2o, do=b3o, eo=b4o, fo=b5o, go=b6o, ho=b7o, io=b8o, jo=b8n, ko=b9n, lo=b9m, mo=b10m, no=b21, o2=b22, b8p=b7o, cp=ab2p, dp=b3p, ep=b4p, fp=b5p, gp=b6p, hp=b7p, ip=b7o, jp=b8o, kp=b8n, lp=b9n, mp=b9m, np=b10m, op=b21, p2=b22, b7q=b6p, cq=ab2q, dq=b3q, eq=b4q, fq=b5q, gq=b6q, hq=b6p, iq=b7p, jq=b7o, kq=b8o, lq=b8n, mq=b9n, nq=b9m, oq=b10m, pq=b21, q2=b22, b6r=b5q, cr=ab2r, dr=b3r, er=b4r, fr=b5r, gr=b5q, hr=b6q, ir=b6p, jr=b7p, kr=b7o, lr=b8o, mr=b8n, nr=b9n, or=b9m, pr=b10m, qr=b21, r2=b22, b5s=b4r, cs=ab2s, ds=b3s, es=b4s, fs=b4r, gs=b5r, hs=b5q, is=b6q, js=b6p, ks=b7p, ls=b7o, ms=b8o, ns=b8n, os=b9n, ps=b9m, qs=b10m, rs=b21, s2=b22, b4t=b3s, ct=ab2t, dt=b3t, et=b3s, ft=b4s, gt=b4r, ht=b5r, it=b5q, jt=b6q, kt=b6p, lt=b7p, mt=b7o, nt=b8o, ot=b8n, pt=b9n, qt=b9m, rt=b10m, st=b21, t2=b22, b3u=b2t, cu=ab2u, du=b2t, eu=b3t, fu=b3s, gu=b4s, hu=b4r, iu=b5r, ju=b5q, ku=b6q, lu=b6p, mu=b7p, nu=b7o, ou=b8o, pu=b8n, qu=b9n, ru=b9m, su=b10m, tu=b21, u2=b22, b2v=bu, cv=abu, dv=b2u, ev=b2t, fv=b3t, gv=b3s, hv=b4s, iv=b4r, jv=b5r, kv=b5q, lv=b6q, mv=b6p, nv=b7p, ov=b7o, pv=b8o, qv=b8n, rv=b9n, sv=b9m, tv=b10m, uv=b21, v2=b22, bw=v, cw=abv, dw=bu, ew=b2u, fw=b2t, gw=b3t, hw=b3s, iw=b4s, jw=b4r, kw=b5r, lw=b5q, mw=b6q, nw=b6p, ow=b7p, pw=b7o, qw=b8o, rw=b8n, sw=b9n, tw=b9m, uw=b10m, vw=b21, w2=b22>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, b22, d, be, f, b2f, bg, b3g, h, b2h, b4h, bi, b3i, b5i, j, b2j, b4j, b6j, bk, b3k, b5k, b7k, l, b2l, b4l, b6l, b8l, bm, b3m, b5m, b7m, b9m, n, b2n, b4n, b6n, b8n, bo, b3o, b5o, b7o, p, b2p, b4p, b6p, bq, b3q, b5q, r, b2r, b4r, bs, b3s, t, b2t, bu, v}

Phi = 1 a b a 1 ab 1 ab b a b c 1 ab ac ab3 b c d abd b2 ad e abe b3 ae f abf b4 af g abg b5 ag h abh b6 ah i abi b7 ai j abj b8 aj k abk b9 ak l abl b10 al m abm b11 am n abn b12 an o abo b13 ao p abp b14 ap q abq b15 aq r abr b16 ar s abs b17 as t abt b18 at u abu b19 au v abv b20 av w av b21 aw

Monoid Structure

Idempotent  |G|  |Arch|
122
b22 *4286