Details Page for 0.7073

Complete Solution is Known:

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

MSV File: q-0.7073.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
982
15123
19184
23246
27327
314010
355011
396015
437216
478421
519822
5511228
5912829
6314436
6716237
7118045
7520046
7922055
8324256
8726466
9128867
9531278
9933879
10336491

(Click on a heap to see details)

Details for Q83(0.7073):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a2=1, b21=b19, bc=ab3, c2=b4, b2d=ab5, cd=b5, d2=b6, b3e=ab7, ce=ab2e, de=b7, e2=b8, b4f=ab9, cf=ab2f, df=ab3f, ef=b9, f2=b10, b5g=ab11, cg=ab2g, dg=ab3g, eg=ab4g, fg=b11, g2=b12, b6h=ab13, ch=ab2h, dh=ab3h, eh=ab4h, fh=ab5h, gh=b13, h2=b14, b7i=ab15, ci=ab2i, di=ab3i, ei=ab4i, fi=ab5i, gi=ab6i, hi=b15, i2=b16, b8j=ab17, cj=ab2j, dj=ab3j, ej=ab4j, fj=ab5j, gj=ab6j, hj=ab7j, ij=b17, j2=b18, b9k=ab19, ck=ab2k, dk=ab3k, ek=ab4k, fk=ab5k, gk=ab6k, hk=ab7k, ik=ab8k, jk=b19, k2=b20, b10l=ab19, cl=ab2l, dl=ab3l, el=ab4l, fl=ab5l, gl=ab6l, hl=ab7l, il=ab8l, jl=ab9l, kl=b19, l2=b20, b9m=b8l, cm=ab2m, dm=ab3m, em=ab4m, fm=ab5m, gm=ab6m, hm=ab7m, im=ab8m, jm=ab8l, km=ab9l, lm=b19, m2=b20, b8n=b7m, cn=ab2n, dn=ab3n, en=ab4n, fn=ab5n, gn=ab6n, hn=ab7n, in=ab7m, jn=ab8m, kn=ab8l, ln=ab9l, mn=b19, n2=b20, b7o=b6n, co=ab2o, do=ab3o, eo=ab4o, fo=ab5o, go=ab6o, ho=ab6n, io=ab7n, jo=ab7m, ko=ab8m, lo=ab8l, mo=ab9l, no=b19, o2=b20, b6p=b5o, cp=ab2p, dp=ab3p, ep=ab4p, fp=ab5p, gp=ab5o, hp=ab6o, ip=ab6n, jp=ab7n, kp=ab7m, lp=ab8m, mp=ab8l, np=ab9l, op=b19, p2=b20, b5q=b4p, cq=ab2q, dq=ab3q, eq=ab4q, fq=ab4p, gq=ab5p, hq=ab5o, iq=ab6o, jq=ab6n, kq=ab7n, lq=ab7m, mq=ab8m, nq=ab8l, oq=ab9l, pq=b19, q2=b20, b4r=b3q, cr=ab2r, dr=ab3r, er=ab3q, fr=ab4q, gr=ab4p, hr=ab5p, ir=ab5o, jr=ab6o, kr=ab6n, lr=ab7n, mr=ab7m, nr=ab8m, or=ab8l, pr=ab9l, qr=b19, r2=b20, b3s=b2r, cs=ab2s, ds=ab2r, es=ab3r, fs=ab3q, gs=ab4q, hs=ab4p, is=ab5p, js=ab5o, ks=ab6o, ls=ab6n, ms=ab7n, ns=ab7m, os=ab8m, ps=ab8l, qs=ab9l, rs=b19, s2=b20, b2t=bs, ct=abs, dt=ab2s, et=ab2r, ft=ab3r, gt=ab3q, ht=ab4q, it=ab4p, jt=ab5p, kt=ab5o, lt=ab6o, mt=ab6n, nt=ab7n, ot=ab7m, pt=ab8m, qt=ab8l, rt=ab9l, st=b19, t2=b20, bu=t, cu=abt, du=abs, eu=ab2s, fu=ab2r, gu=ab3r, hu=ab3q, iu=ab4q, ju=ab4p, ku=ab5p, lu=ab5o, mu=ab6o, nu=ab6n, ou=ab7n, pu=ab7m, qu=ab8m, ru=ab8l, su=ab9l, tu=b19, u2=b20>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, ad, abe, af, ab2f, abg, ab3g, ah, ab2h, ab4h, abi, ab3i, ab5i, aj, ab2j, ab4j, ab6j, abk, ab3k, ab5k, ab7k, al, ab2l, ab4l, ab6l, ab8l, abm, ab3m, ab5m, ab7m, an, ab2n, ab4n, ab6n, abo, ab3o, ab5o, ap, ab2p, ab4p, abq, ab3q, ar, ab2r, abs, at}

Phi = 1 a 1 a b ab b ab 1 c ac c b ab3 b3 d b2 bd b4 e b3 be b5 f b4 bf b6 g b5 bg b7 h b6 bh b8 i b7 bi b9 j b8 bj b10 k b9 bk b11 l b10 bl b12 m b11 bm b13 n b12 bn b14 o b13 bo b15 p b14 bp b16 q b15 bq b17 r b16 br b18 s b17 bs b19 t b18 bt b20 u b19 t b19

Monoid Structure

Idempotent  |G|  |Arch|
122
b20 *4240