Details Page for 0.1751

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   490
P-Portion Size:   122
Tame?   No

MSV File: q-0.1751.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
982
16123
18184
20225
22286
24348
26429
285012
306013
327017
348218
369423
3810824
4012230
4213831
4415438
4617239
4819047
5021048
5223057
5425258
5627468
5829869
6032280
6234881
6437493
6640294
68430107
70460108
72490122

(Click on a heap to see details)

Details for Q70(0.1751):

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 | a2=1, b31=b29, bc=ab3, c2=b4, bd=ab5, cd=b6, d2=b8, b2e=b7, ce=ab7, de=ab9, e2=b10, b3f=ab9, cf=ab2f, df=b10, ef=ab11, f2=b12, b4g=b11, cg=ab2g, dg=ab11, eg=b12, fg=ab13, g2=b14, b5h=ab13, ch=ab2h, dh=ab4h, eh=ab13, fh=b14, gh=ab15, h2=b16, b6i=b15, ci=ab2i, di=ab4i, ei=b5i, fi=ab15, gi=b16, hi=ab17, i2=b18, b7j=ab17, cj=ab2j, dj=ab4j, ej=b5j, fj=ab6j, gj=ab17, hj=b18, ij=ab19, j2=b20, b8k=b19, ck=ab2k, dk=ab4k, ek=b5k, fk=ab6k, gk=b7k, hk=ab19, ik=b20, jk=ab21, k2=b22, b9l=ab21, cl=ab2l, dl=ab4l, el=b5l, fl=ab6l, gl=b7l, hl=ab8l, il=ab21, jl=b22, kl=ab23, l2=b24, b10m=b23, cm=ab2m, dm=ab4m, em=b5m, fm=ab6m, gm=b7m, hm=ab8m, im=b9m, jm=ab23, km=b24, lm=ab25, m2=b26, b11n=ab25, cn=ab2n, dn=ab4n, en=b5n, fn=ab6n, gn=b7n, hn=ab8n, in=b9n, jn=ab10n, kn=ab25, ln=b26, mn=ab27, n2=b28, b12o=b27, co=ab2o, do=ab4o, eo=b5o, fo=ab6o, go=b7o, ho=ab8o, io=b9o, jo=ab10o, ko=b11o, lo=ab27, mo=b28, no=ab29, o2=b30, b13p=ab29, cp=ab2p, dp=ab4p, ep=b5p, fp=ab6p, gp=b7p, hp=ab8p, ip=b9p, jp=ab10p, kp=b11p, lp=ab12p, mp=ab29, np=b30, op=ab29, p2=b30, b14q=b29, cq=ab2q, dq=ab4q, eq=b5q, fq=ab6q, gq=b7q, hq=ab8q, iq=b9q, jq=ab10q, kq=b11q, lq=ab12q, mq=b13q, nq=ab29, oq=b30, pq=ab29, q2=b30, b13r=ab12q, cr=ab2r, dr=ab4r, er=b5r, fr=ab6r, gr=b7r, hr=ab8r, ir=b9r, jr=ab10r, kr=b11r, lr=ab12r, mr=ab12q, nr=b13q, or=ab29, pr=b30, qr=ab29, r2=b30, b12s=ab11r, cs=ab2s, ds=ab4s, es=b5s, fs=ab6s, gs=b7s, hs=ab8s, is=b9s, js=ab10s, ks=b11s, ls=b11r, ms=ab12r, ns=ab12q, os=b13q, ps=ab29, qs=b30, rs=ab29, s2=b30, b11t=ab10s, ct=ab2t, dt=ab4t, et=b5t, ft=ab6t, gt=b7t, ht=ab8t, it=b9t, jt=ab10t, kt=ab10s, lt=b11s, mt=b11r, nt=ab12r, ot=ab12q, pt=b13q, qt=ab29, rt=b30, st=ab29, t2=b30, b10u=ab9t, cu=ab2u, du=ab4u, eu=b5u, fu=ab6u, gu=b7u, hu=ab8u, iu=b9u, ju=b9t, ku=ab10t, lu=ab10s, mu=b11s, nu=b11r, ou=ab12r, pu=ab12q, qu=b13q, ru=ab29, su=b30, tu=ab29, u2=b30, b9v=ab8u, cv=ab2v, dv=ab4v, ev=b5v, fv=ab6v, gv=b7v, hv=ab8v, iv=ab8u, jv=b9u, kv=b9t, lv=ab10t, mv=ab10s, nv=b11s, ov=b11r, pv=ab12r, qv=ab12q, rv=b13q, sv=ab29, tv=b30, uv=ab29, v2=b30, b8w=ab7v, cw=ab2w, dw=ab4w, ew=b5w, fw=ab6w, gw=b7w, hw=b7v, iw=ab8v, jw=ab8u, kw=b9u, lw=b9t, mw=ab10t, nw=ab10s, ow=b11s, pw=b11r, qw=ab12r, rw=ab12q, sw=b13q, tw=ab29, uw=b30, vw=ab29, w2=b30, b7x=ab6w, cx=ab2x, dx=ab4x, ex=b5x, fx=ab6x, gx=ab6w, hx=b7w, ix=b7v, jx=ab8v, kx=ab8u, lx=b9u, mx=b9t, nx=ab10t, ox=ab10s, px=b11s, qx=b11r, rx=ab12r, sx=ab12q, tx=b13q, ux=ab29, vx=b30, wx=ab29, x2=b30, b6y=ab5x, cy=ab2y, dy=ab4y, ey=b5y, fy=b5x, gy=ab6x, hy=ab6w, iy=b7w, jy=b7v, ky=ab8v, ly=ab8u, my=b9u, ny=b9t, oy=ab10t, py=ab10s, qy=b11s, ry=b11r, sy=ab12r, ty=ab12q, uy=b13q, vy=ab29, wy=b30, xy=ab29, y2=b30, b5z=ab4y, cz=ab2z, dz=ab4z, ez=ab4y, fz=b5y, gz=b5x, hz=ab6x, iz=ab6w, jz=b7w, kz=b7v, lz=ab8v, mz=ab8u, nz=b9u, oz=b9t, pz=ab10t, qz=ab10s, rz=b11s, sz=b11r, tz=ab12r, uz=ab12q, vz=b13q, wz=ab29, xz=b30, yz=ab29, z2=b30, b4A=ab3z, cA=ab2A, dA=b3z, eA=ab4z, fA=ab4y, gA=b5y, hA=b5x, iA=ab6x, jA=ab6w, kA=b7w, lA=b7v, mA=ab8v, nA=ab8u, oA=b9u, pA=b9t, qA=ab10t, rA=ab10s, sA=b11s, tA=b11r, uA=ab12r, vA=ab12q, wA=b13q, xA=ab29, yA=b30, zA=ab29, A2=b30, b3B=ab2A, cB=ab2B, dB=b3A, eB=b3z, fB=ab4z, gB=ab4y, hB=b5y, iB=b5x, jB=ab6x, kB=ab6w, lB=b7w, mB=b7v, nB=ab8v, oB=ab8u, pB=b9u, qB=b9t, rB=ab10t, sB=ab10s, tB=b11s, uB=b11r, vB=ab12r, wB=ab12q, xB=b13q, yB=ab29, zB=b30, AB=ab29, B2=b30, b2C=abB, cC=bB, dC=ab2A, eC=b3A, fC=b3z, gC=ab4z, hC=ab4y, iC=b5y, jC=b5x, kC=ab6x, lC=ab6w, mC=b7w, nC=b7v, oC=ab8v, pC=ab8u, qC=b9u, rC=b9t, sC=ab10t, tC=ab10s, uC=b11s, vC=b11r, wC=ab12r, xC=ab12q, yC=b13q, zC=ab29, AC=b30, BC=ab29, C2=b30, b3D=aC, cD=ab2D, dD=bC, eD=bB, fD=ab2B, gD=ab2A, hD=b3A, iD=b3z, jD=ab4z, kD=ab4y, lD=b5y, mD=b5x, nD=ab6x, oD=ab6w, pD=b7w, qD=b7v, rD=ab8v, sD=ab8u, tD=b9u, uD=b9t, vD=ab10t, wD=ab10s, xD=b11s, yD=b11r, zD=ab12r, AD=ab12q, BD=b13q, CD=ab29, D2=b30>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, b22, b24, b26, b28, b30, ae, bf, ag, ab2g, bh, b3h, ai, ab2i, ab4i, bj, b3j, b5j, ak, ab2k, ab4k, ab6k, bl, b3l, b5l, b7l, am, ab2m, ab4m, ab6m, ab8m, bn, b3n, b5n, b7n, b9n, ao, ab2o, ab4o, ab6o, ab8o, ab10o, bp, b3p, b5p, b7p, b9p, b11p, aq, ab2q, ab4q, ab6q, ab8q, ab10q, ab12q, 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, bD}

Phi = 1 a a b b a a b b c c b3 b3 d d b5 e ab6 f b7 g ab8 h b9 i ab10 j b11 k ab12 l b13 m ab14 n b15 o ab16 p b17 q ab18 r b19 s ab20 t b21 u ab22 v b23 w ab24 x b25 y ab26 z b27 A ab28 B b29 C ab30 b2D b29 abD ab30 D b29

Monoid Structure

Idempotent  |G|  |Arch|
122
b30 *4458