Details Page for 0.3576

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1282
P-Portion Size:   141
Tame?   No

MSV File: q-0.3576.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5102
8122
11163
12243
14345
15486
23628
2711615
2914416
3347851
3448251
4250654
4355062
4573078
4674279
5081287
681198131
691282141

(Click on a heap to see details)

Details for Q34(0.3576):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,A | a2=1, b5=b3, b4c=b2c, b2c2=c2, c3=b2c, b2d=ab4, cd=ab2c, d2=b4, b2e=b3, ce=b3c, de=bd, e2=b4, b3f=ab3, cf=ab2c, df=ab2f, ef=bd, f2=b4, b2g=b3, cg=b3c, dg=bd, eg=b4, fg=bd, g2=b4, b4h=b2h, b2ch=ch, c2h=b2h, beh=b2h, fh=dh, gh=eh, h2=c2, b2i=b2c, bci=bc2, c2i=b2c, di=ab2c, bei=b2c, fi=ab2c, gi=b3c, bhi=bch, chi=b2h, ehi=bch, i2=c2, b2j=ab3c, bcj=aci, c2j=ab3c, dj=b3c, ej=ab2c, fj=b3c, gj=ab2c, chj=ab3h, bij=aci, cij=ab3c, hij=ab3h, j2=c2, ck=b3c, bdk=ab3k, bfk=aek, gk=ek, hk=eh, ik=b3c, jk=ab2c, k2=c2, l=ch, m=ab4, cn=ab2h, bdn=ab3n, gn=en, hn=ab2c, in=ab2h, jn=b3h, n2=c2, b4o=b2o, co=ab2c, do=ab2o, beo=b2o, bfo=aeo, go=eo, ho=ab2h, io=ab2c, jo=b3c, ko=ab4k, o2=ab2o, b4p=b2p, cp=b3c, bdp=ab3p, bep=b2p, bfp=aep, gp=ep, hp=eh, ip=b3c, jp=ab2c, kp=c2, dnp=ab2np, op=ab4k, p2=c2, b2q=ab3c, cq=ij, dq=b3c, beq=ab3c, fq=b3c, gq=ab2c, ehq=ach, biq=aci, eiq=aci, hiq=ab3h, jq=c2, kq=ab2c, nq=b3h, oq=b3c, pq=ab2c, q2=c2, b3r=br, cr=ab2c, dr=ab2r, er=br, fr=ab2r, gr=br, hr=ab2h, ir=ab2c, jr=b3c, kr=abc2, b2nr=nr, or=b3k, pr=abc2, qr=b3c, r2=c2, bs=ar, cs=b3c, ds=br, es=ab2r, fs=br, gs=ab2r, hs=abdh, is=b3c, js=ab2c, ks=c2, ns=abnr, os=ab4k, ps=c2, qs=ab2c, rs=abc2, s2=c2, b2ct=b2h, c2t=ch, bdt=ab3t, b2ft=abet, gt=abft, ht=aeq, bit=bct, cit=ch, eit=bct, jt=ab3h, b2kt=kt, dkt=akt, ekt=bkt, fkt=akt, b2nt=nt, dnt=ant, ent=bnt, fnt=ant, b2ot=ot, eot=bot, fot=aot, not=ant, b2pt=pt, dpt=apt, ept=bpt, fpt=apt, npt=knt, qt=ab3h, b2rt=rt, nrt=abknt, st=abrt, t2=c2, bu=ab2r, cu=b3c, du=br, eu=ab2r, fu=br, gu=ab2r, hu=abdh, iu=b3c, ju=ab2c, ku=c2, nu=abnr, ou=ab4k, pu=c2, qu=ab2c, ru=abc2, su=c2, tu=abrt, u2=c2, b2v=b3h, cv=bch, ev=bv, fv=dv, gv=bv, bdhv=aci, iv=bch, jv=ach, kv=bv, nv=ab3c, ov=ab3h, pv=bv, qv=ach, rv=ab3h, sv=abdv, tv=b3c, uv=abdv, v2=c2, w=b2h, b2cx=cx, gx=ex, ehx=bhx, ix=cx, jx=abcx, qx=abcx, b2rx=rx, ctx=b2hx, bftx=aetx, ntx=ac2x, ux=sx, vx=b3hx, x2=c2, b2y=b4k, cy=b3c, dy=ab4k, ey=b3k, fy=ab4k, gy=b3k, hy=b3h, iy=b3c, jy=ab2c, ky=c2, ny=b4kn, oy=ab4k, py=c2, qy=ab2c, ry=abc2, sy=c2, ty=kt, uy=c2, vy=b2h, xy=b4kx, y2=c2, z=b2o, A=aij>

P = {a, b2, b4, c2, be, ab2f, ag, bi, hi, cj, bhj, bk, b3k, ek, ao, ab2o, fo, bp, b3p, ep, bq, abhq, aiq, ab2r, as, abct, abnt, abhv, bx, abdhx, nx, b2nx, b4nx, aenx, ab2fnx, aknx, ab2knx, ab4knx, eknx, bnox, b3nox, fnox, enpx, anrx, tx, b2tx, b4tx, aetx, aktx, botx, artx}

Phi = 1 a b a b c ac c d e f g h ah i j k ch ab4 n o p b2c q b2c r s t u v b2h bdv ab3c x y b2o aij ac2 b2c ab3c b2c ab3c

Monoid Structure

Idempotent  |G|  |Arch|
122
b4426
c2 *32442
ab2o412