Details Page for 0.2406

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   374
P-Portion Size:   93
Tame?   No

MSV File: q-0.2406.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
562
1282
29123
33184
37225
41286
45348
49429
535012
576013
617017
658218
699423
7310824
7712230
8113831
8515438
8917239
9319047
9721048
10123057
10525258
10927468
11329869
11732280
12134881
12537493

(Click on a heap to see details)

Details for Q97(0.2406):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v | a2=1, b21=b19, bc=ab3, c2=b4, bd=ab5, cd=b6, d2=b8, b2e=b7, ce=ab7, de=ab9, e2=b10, b3f=b9, cf=ab2f, df=ab10, ef=b11, f2=b12, b4g=b11, cg=ab2g, dg=ab11, eg=b12, fg=b13, g2=b14, b5h=b13, ch=ab2h, dh=ab4h, eh=b13, fh=b14, gh=b15, h2=b16, b6i=b15, ci=ab2i, di=ab4i, ei=b5i, fi=b15, gi=b16, hi=b17, i2=b18, b7j=b17, cj=ab2j, dj=ab4j, ej=b5j, fj=b6j, gj=b17, hj=b18, ij=b19, j2=b20, b8k=b19, ck=ab2k, dk=ab4k, ek=b5k, fk=b6k, gk=b7k, hk=b19, ik=b20, jk=b19, k2=b20, b9l=b19, cl=ab2l, dl=ab4l, el=b5l, fl=b6l, gl=b7l, hl=b8l, il=b19, jl=b20, kl=b19, l2=b20, b8m=b7l, cm=ab2m, dm=ab4m, em=b5m, fm=b6m, gm=b7m, hm=b7l, im=b8l, jm=b19, km=b20, lm=b19, m2=b20, b7n=b6m, cn=ab2n, dn=ab4n, en=b5n, fn=b6n, gn=b6m, hn=b7m, in=b7l, jn=b8l, kn=b19, ln=b20, mn=b19, n2=b20, b6o=b5n, co=ab2o, do=ab4o, eo=b5o, fo=b5n, go=b6n, ho=b6m, io=b7m, jo=b7l, ko=b8l, lo=b19, mo=b20, no=b19, o2=b20, b5p=b4o, cp=ab2p, dp=ab4p, ep=b4o, fp=b5o, gp=b5n, hp=b6n, ip=b6m, jp=b7m, kp=b7l, lp=b8l, mp=b19, np=b20, op=b19, p2=b20, b4q=b3p, cq=ab2q, dq=ab3p, eq=b4p, fq=b4o, gq=b5o, hq=b5n, iq=b6n, jq=b6m, kq=b7m, lq=b7l, mq=b8l, nq=b19, oq=b20, pq=b19, q2=b20, b3r=b2q, cr=ab2r, dr=ab3q, er=b3p, fr=b4p, gr=b4o, hr=b5o, ir=b5n, jr=b6n, kr=b6m, lr=b7m, mr=b7l, nr=b8l, or=b19, pr=b20, qr=b19, r2=b20, b2s=br, cs=abr, ds=ab2q, es=b3q, fs=b3p, gs=b4p, hs=b4o, is=b5o, js=b5n, ks=b6n, ls=b6m, ms=b7m, ns=b7l, os=b8l, ps=b19, qs=b20, rs=b19, s2=b20, bt=s, ct=abs, dt=ab2r, et=b2q, ft=b3q, gt=b3p, ht=b4p, it=b4o, jt=b5o, kt=b5n, lt=b6n, mt=b6m, nt=b7m, ot=b7l, pt=b8l, qt=b19, rt=b20, st=b19, t2=b20, bu=t, cu=as, du=abr, eu=b2r, fu=b2q, gu=b3q, hu=b3p, iu=b4p, ju=b4o, ku=b5o, lu=b5n, mu=b6n, nu=b6m, ou=b7m, pu=b7l, qu=b8l, ru=b19, su=b20, tu=b19, u2=b20, bv=u, cv=at, dv=abs, ev=br, fv=b2r, gv=b2q, hv=b3q, iv=b3p, jv=b4p, kv=b4o, lv=b5o, mv=b5n, nv=b6n, ov=b6m, pv=b7m, qv=b7l, rv=b8l, sv=b19, tv=b20, uv=b19, v2=b20>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, e, bf, g, b2g, bh, b3h, i, b2i, b4i, bj, b3j, b5j, k, b2k, b4k, b6k, bl, b3l, b5l, b7l, m, b2m, b4m, b6m, bn, b3n, b5n, o, b2o, b4o, bp, b3p, q, b2q, br, s, u}

Phi = 1 1 a 1 a b ab b ab 1 a 1 c b ab b ab3 ac c ac d b3 ab3 b3 ab5 ad d b4 ab6 e ae b5 ab7 f af b6 ab8 g ag b7 ab9 h ah b8 ab10 i ai b9 ab11 j aj b10 ab12 k ak b11 ab13 l al b12 ab14 m am b13 ab15 n an b14 ab16 o ao b15 ab17 p ap b16 ab18 q aq b17 ab19 r ar b18 ab20 s as b19 ab19 t at b20 ab20 u au b19 ab19 v av b20 ab20

Monoid Structure

Idempotent  |G|  |Arch|
122
b20 *4208