Details Page for 0.3551

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   542
P-Portion Size:   127
Tame?   No

MSV File: q-0.3551.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
782
14123
15184
16225
17286
18327
19388
20429
214810
225412
236213
247016
258017
269021
2710222
2811427
2912828
3014234
3115835
3217442
3319243
3421051
3523052
3625061
3727262
3829472
3931873
4034284
4136885
4239497
4342298
44450111
45480112
46510126
47542127

(Click on a heap to see details)

Details for Q42(0.3551):

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,D,E,F,G | a2=1, b32=b30, bc=ab3, c2=b4, bd=ab5, cd=b6, d2=b8, be=ab7, ce=b8, de=b10, e2=b12, bf=ab9, cf=b10, df=b12, ef=b14, f2=b16, b2g=b11, cg=ab11, dg=ab13, eg=ab15, fg=ab17, g2=b18, b3h=ab13, ch=ab2h, dh=b14, eh=b16, fh=b18, gh=ab19, h2=b20, b4i=b15, ci=ab2i, di=ab15, ei=ab17, fi=ab19, gi=b20, hi=ab21, i2=b22, b5j=ab17, cj=ab2j, dj=ab4j, ej=b18, fj=b20, gj=ab21, hj=b22, ij=ab23, j2=b24, b6k=b19, ck=ab2k, dk=ab4k, ek=ab19, fk=ab21, gk=b22, hk=ab23, ik=b24, jk=ab25, k2=b26, b7l=ab21, cl=ab2l, dl=ab4l, el=ab6l, fl=b22, gl=ab23, hl=b24, il=ab25, jl=b26, kl=ab27, l2=b28, b8m=b23, cm=ab2m, dm=ab4m, em=ab6m, fm=ab23, gm=b24, hm=ab25, im=b26, jm=ab27, km=b28, lm=ab29, m2=b30, b9n=ab25, cn=ab2n, dn=ab4n, en=ab6n, fn=ab8n, gn=ab25, hn=b26, in=ab27, jn=b28, kn=ab29, ln=b30, mn=ab31, n2=b30, b10o=b27, co=ab2o, do=ab4o, eo=ab6o, fo=ab8o, go=b9o, ho=ab27, io=b28, jo=ab29, ko=b30, lo=ab31, mo=b30, no=ab31, o2=b30, b11p=ab29, cp=ab2p, dp=ab4p, ep=ab6p, fp=ab8p, gp=b9p, hp=ab10p, ip=ab29, jp=b30, kp=ab31, lp=b30, mp=ab31, np=b30, op=ab31, p2=b30, b12q=b31, cq=ab2q, dq=ab4q, eq=ab6q, fq=ab8q, gq=b9q, hq=ab10q, iq=b11q, jq=ab31, kq=b30, lq=ab31, mq=b30, nq=ab31, oq=b30, pq=ab31, q2=b30, b12r=ab11q, cr=ab2r, dr=ab4r, er=ab6r, fr=ab8r, gr=b9r, hr=ab10r, ir=b11r, jr=b11q, kr=ab31, lr=b30, mr=ab31, nr=b30, or=ab31, pr=b30, qr=ab31, r2=b30, b11s=ab10r, cs=ab2s, ds=ab4s, es=ab6s, fs=ab8s, gs=b9s, hs=ab10s, is=ab10r, js=b11r, ks=b11q, ls=ab31, ms=b30, ns=ab31, os=b30, ps=ab31, qs=b30, rs=ab31, s2=b30, b10t=ab9s, ct=ab2t, dt=ab4t, et=ab6t, ft=ab8t, gt=b9t, ht=b9s, it=ab10s, jt=ab10r, kt=b11r, lt=b11q, mt=ab31, nt=b30, ot=ab31, pt=b30, qt=ab31, rt=b30, st=ab31, t2=b30, b9u=ab8t, cu=ab2u, du=ab4u, eu=ab6u, fu=ab8u, gu=ab8t, hu=b9t, iu=b9s, ju=ab10s, ku=ab10r, lu=b11r, mu=b11q, nu=ab31, ou=b30, pu=ab31, qu=b30, ru=ab31, su=b30, tu=ab31, u2=b30, b8v=ab7u, cv=ab2v, dv=ab4v, ev=ab6v, fv=b7u, gv=ab8u, hv=ab8t, iv=b9t, jv=b9s, kv=ab10s, lv=ab10r, mv=b11r, nv=b11q, ov=ab31, pv=b30, qv=ab31, rv=b30, sv=ab31, tv=b30, uv=ab31, v2=b30, b7w=ab6v, cw=ab2w, dw=ab4w, ew=ab6w, fw=b7v, gw=b7u, hw=ab8u, iw=ab8t, jw=b9t, kw=b9s, lw=ab10s, mw=ab10r, nw=b11r, ow=b11q, pw=ab31, qw=b30, rw=ab31, sw=b30, tw=ab31, uw=b30, vw=ab31, w2=b30, b6x=ab5w, cx=ab2x, dx=ab4x, ex=b5w, fx=ab6v, gx=b7v, hx=b7u, ix=ab8u, jx=ab8t, kx=b9t, lx=b9s, mx=ab10s, nx=ab10r, ox=b11r, px=b11q, qx=ab31, rx=b30, sx=ab31, tx=b30, ux=ab31, vx=b30, wx=ab31, x2=b30, b5y=ab4x, cy=ab2y, dy=ab4y, ey=b5x, fy=ab6w, gy=ab6v, hy=b7v, iy=b7u, jy=ab8u, ky=ab8t, ly=b9t, my=b9s, ny=ab10s, oy=ab10r, py=b11r, qy=b11q, ry=ab31, sy=b30, ty=ab31, uy=b30, vy=ab31, wy=b30, xy=ab31, y2=b30, b4z=ab3y, cz=ab2z, dz=b3y, ez=ab4x, fz=b5w, gz=ab6w, hz=ab6v, iz=b7v, jz=b7u, kz=ab8u, lz=ab8t, mz=b9t, nz=b9s, oz=ab10s, pz=ab10r, qz=b11r, rz=b11q, sz=ab31, tz=b30, uz=ab31, vz=b30, wz=ab31, xz=b30, yz=ab31, z2=b30, b3A=ab2z, cA=ab2A, dA=b3z, eA=ab4y, fA=b5x, gA=b5w, hA=ab6w, iA=ab6v, jA=b7v, kA=b7u, lA=ab8u, mA=ab8t, nA=b9t, oA=b9s, pA=ab10s, qA=ab10r, rA=b11r, sA=b11q, tA=ab31, uA=b30, vA=ab31, wA=b30, xA=ab31, yA=b30, zA=ab31, A2=b30, b2B=abA, cB=bA, dB=ab2z, eB=b3y, fB=ab4x, gB=b5x, hB=b5w, iB=ab6w, jB=ab6v, kB=b7v, lB=b7u, mB=ab8u, nB=ab8t, oB=b9t, pB=b9s, qB=ab10s, rB=ab10r, sB=b11r, tB=b11q, uB=ab31, vB=b30, wB=ab31, xB=b30, yB=ab31, zB=b30, AB=ab31, B2=b30, bC=aB, cC=bB, dC=ab2A, eC=b3z, fC=ab4y, gC=ab4x, hC=b5x, iC=b5w, jC=ab6w, kC=ab6v, lC=b7v, mC=b7u, nC=ab8u, oC=ab8t, pC=b9t, qC=b9s, rC=ab10s, sC=ab10r, tC=b11r, uC=b11q, vC=ab31, wC=b30, xC=ab31, yC=b30, zC=ab31, AC=b30, BC=ab31, C2=b30, bD=aC, cD=aB, dD=bA, eD=ab2z, fD=b3y, gD=ab4y, hD=ab4x, iD=b5x, jD=b5w, kD=ab6w, lD=ab6v, mD=b7v, nD=b7u, oD=ab8u, pD=ab8t, qD=b9t, rD=b9s, sD=ab10s, tD=ab10r, uD=b11r, vD=b11q, wD=ab31, xD=b30, yD=ab31, zD=b30, AD=ab31, BD=b30, CD=ab31, D2=b30, bE=aD, cE=aC, dE=bB, eE=ab2A, fE=b3z, gE=b3y, hE=ab4y, iE=ab4x, jE=b5x, kE=b5w, lE=ab6w, mE=ab6v, nE=b7v, oE=b7u, pE=ab8u, qE=ab8t, rE=b9t, sE=b9s, tE=ab10s, uE=ab10r, vE=b11r, wE=b11q, xE=ab31, yE=b30, zE=ab31, AE=b30, BE=ab31, CE=b30, DE=ab31, E2=b30, bF=aE, cF=aD, dF=aB, eF=bA, fF=ab2z, gF=b3z, hF=b3y, iF=ab4y, jF=ab4x, kF=b5x, lF=b5w, mF=ab6w, nF=ab6v, oF=b7v, pF=b7u, qF=ab8u, rF=ab8t, sF=b9t, tF=b9s, uF=ab10s, vF=ab10r, wF=b11r, xF=b11q, yF=ab31, zF=b30, AF=ab31, BF=b30, CF=ab31, DF=b30, EF=ab31, F2=b30, b3G=aF, cG=ab2G, dG=aE, eG=aC, fG=bB, gG=bA, hG=ab2A, iG=ab2z, jG=b3z, kG=b3y, lG=ab4y, mG=ab4x, nG=b5x, oG=b5w, pG=ab6w, qG=ab6v, rG=b7v, sG=b7u, tG=ab8u, uG=ab8t, vG=b9t, wG=b9s, xG=ab10s, yG=ab10r, zG=b11r, AG=b11q, BG=ab31, CG=b30, DG=ab31, EG=b30, FG=ab31, G2=b30>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, b22, b24, b26, b28, b30, ag, bh, ai, ab2i, bj, b3j, ak, ab2k, ab4k, bl, b3l, b5l, am, ab2m, ab4m, ab6m, bn, b3n, b5n, b7n, ao, ab2o, ab4o, ab6o, ab8o, bp, b3p, b5p, b7p, b9p, aq, ab2q, ab4q, ab6q, ab8q, ab10q, br, b3r, b5r, b7r, b9r, b11r, as, ab2s, ab4s, ab6s, ab8s, ab10s, bt, b3t, b5t, b7t, b9t, au, ab2u, ab4u, ab6u, ab8u, bv, b3v, b5v, b7v, aw, ab2w, ab4w, ab6w, bx, b3x, b5x, ay, ab2y, ab4y, bz, b3z, aA, ab2A, bB, aC, aE, aG, ab2G}

Phi = 1 a b a b a b c b3 d b5 e b7 f g h i j k l m n o p q r s t u v w x y z A B C D E F b2G abG G

Monoid Structure

Idempotent  |G|  |Arch|
122
b30 *4392