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 Q43(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,B,C | 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, bl=bch, cl=b2h, el=bch, fl=dl, gl=bch, hl=b2c, il=b2h, jl=ab3h, kl=bch, l2=c2, b2m=m, cm=ab2c, dm=am, em=bm, fm=am, gm=bm, hm=ab2h, im=ab2c, jm=b3c, km=ab4k, lm=ach, m2=am, cn=ab2h, bdn=ab3n, gn=en, hn=ab2c, in=ab2h, jn=b3h, ln=ac2, n2=c2, b4o=b2o, co=ab2c, do=ab2o, beo=b2o, bfo=aeo, go=eo, ho=ab2h, io=ab2c, jo=b3c, ko=ab4k, lo=ach, mo=ab2o, o2=ab2o, b4p=b2p, cp=b3c, bdp=ab3p, bep=b2p, bfp=aep, gp=ep, hp=eh, ip=b3c, jp=ab2c, kp=c2, lp=bch, mp=ab2p, 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, lq=ab3h, mq=b3c, 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, lr=ach, mr=ab2r, 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, ls=bch, ms=br, 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, lt=c2, mt=ab4t, 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, lu=bch, mu=br, 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, lv=b3c, mv=ab3h, 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, lx=chx, mnx=ab4nx, 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, ly=bch, my=ab4k, 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, b2B=B, cB=ab2c, dB=aB, eB=bB, fB=aB, gB=bB, hB=ab2h, iB=ab2c, jB=b3c, kB=abc2, lB=ach, mB=aB, oB=aB, pB=abc2, qB=b3c, rB=c2, sB=abc2, ntB=abknt, uB=abc2, vB=ab3h, yB=abc2, B2=c2, b4C=b2C, cC=ab2h, eC=bC, fC=dC, gC=bC, hC=ab2c, iC=ab2h, jC=b3h, bkC=b3kn, dlC=ci, mC=mn, b2nC=nC, dnC=anC, knC=bc2, oC=b2no, pC=b2np, qC=b3h, rC=nr, tC=nt, uC=sC, vC=ab3c, b2xC=xC, dxC=axC, kxC=b4knx, nxC=c2x, sxC=abnrx, yC=b4kn, BC=nB, C2=c2>

P = {a, b2, b4, c2, be, ab2f, ag, bi, hi, cj, bhj, bk, b3k, ek, am, 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, aB, anxB, atxB, bC, abdC, kC, adkC, abnC, sC, abxC}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b4426
c2 *32506
am44
ab2o412