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 Q72(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, b32=b30, 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=ab31, p2=b30, b14q=b31, cq=ab2q, dq=ab4q, eq=b5q, fq=ab6q, gq=b7q, hq=ab8q, iq=b9q, jq=ab10q, kq=b11q, lq=ab12q, mq=b13q, nq=ab31, oq=b30, pq=ab31, q2=b30, b14r=ab13q, cr=ab2r, dr=ab4r, er=b5r, fr=ab6r, gr=b7r, hr=ab8r, ir=b9r, jr=ab10r, kr=b11r, lr=ab12r, mr=b13r, nr=b13q, or=ab31, pr=b30, qr=ab31, r2=b30, b13s=ab12r, cs=ab2s, ds=ab4s, es=b5s, fs=ab6s, gs=b7s, hs=ab8s, is=b9s, js=ab10s, ks=b11s, ls=ab12s, ms=ab12r, ns=b13r, os=b13q, ps=ab31, qs=b30, rs=ab31, s2=b30, b12t=ab11s, ct=ab2t, dt=ab4t, et=b5t, ft=ab6t, gt=b7t, ht=ab8t, it=b9t, jt=ab10t, kt=b11t, lt=b11s, mt=ab12s, nt=ab12r, ot=b13r, pt=b13q, qt=ab31, rt=b30, st=ab31, t2=b30, b11u=ab10t, cu=ab2u, du=ab4u, eu=b5u, fu=ab6u, gu=b7u, hu=ab8u, iu=b9u, ju=ab10u, ku=ab10t, lu=b11t, mu=b11s, nu=ab12s, ou=ab12r, pu=b13r, qu=b13q, ru=ab31, su=b30, tu=ab31, u2=b30, b10v=ab9u, cv=ab2v, dv=ab4v, ev=b5v, fv=ab6v, gv=b7v, hv=ab8v, iv=b9v, jv=b9u, kv=ab10u, lv=ab10t, mv=b11t, nv=b11s, ov=ab12s, pv=ab12r, qv=b13r, rv=b13q, sv=ab31, tv=b30, uv=ab31, v2=b30, b9w=ab8v, cw=ab2w, dw=ab4w, ew=b5w, fw=ab6w, gw=b7w, hw=ab8w, iw=ab8v, jw=b9v, kw=b9u, lw=ab10u, mw=ab10t, nw=b11t, ow=b11s, pw=ab12s, qw=ab12r, rw=b13r, sw=b13q, tw=ab31, uw=b30, vw=ab31, w2=b30, b8x=ab7w, cx=ab2x, dx=ab4x, ex=b5x, fx=ab6x, gx=b7x, hx=b7w, ix=ab8w, jx=ab8v, kx=b9v, lx=b9u, mx=ab10u, nx=ab10t, ox=b11t, px=b11s, qx=ab12s, rx=ab12r, sx=b13r, tx=b13q, ux=ab31, vx=b30, wx=ab31, x2=b30, b7y=ab6x, cy=ab2y, dy=ab4y, ey=b5y, fy=ab6y, gy=ab6x, hy=b7x, iy=b7w, jy=ab8w, ky=ab8v, ly=b9v, my=b9u, ny=ab10u, oy=ab10t, py=b11t, qy=b11s, ry=ab12s, sy=ab12r, ty=b13r, uy=b13q, vy=ab31, wy=b30, xy=ab31, y2=b30, b6z=ab5y, cz=ab2z, dz=ab4z, ez=b5z, fz=b5y, gz=ab6y, hz=ab6x, iz=b7x, jz=b7w, kz=ab8w, lz=ab8v, mz=b9v, nz=b9u, oz=ab10u, pz=ab10t, qz=b11t, rz=b11s, sz=ab12s, tz=ab12r, uz=b13r, vz=b13q, wz=ab31, xz=b30, yz=ab31, z2=b30, b5A=ab4z, cA=ab2A, dA=ab4A, eA=ab4z, fA=b5z, gA=b5y, hA=ab6y, iA=ab6x, jA=b7x, kA=b7w, lA=ab8w, mA=ab8v, nA=b9v, oA=b9u, pA=ab10u, qA=ab10t, rA=b11t, sA=b11s, tA=ab12s, uA=ab12r, vA=b13r, wA=b13q, xA=ab31, yA=b30, zA=ab31, A2=b30, b4B=ab3A, cB=ab2B, dB=b3A, eB=ab4A, fB=ab4z, gB=b5z, hB=b5y, iB=ab6y, jB=ab6x, kB=b7x, lB=b7w, mB=ab8w, nB=ab8v, oB=b9v, pB=b9u, qB=ab10u, rB=ab10t, sB=b11t, tB=b11s, uB=ab12s, vB=ab12r, wB=b13r, xB=b13q, yB=ab31, zB=b30, AB=ab31, B2=b30, b3C=ab2B, cC=ab2C, dC=b3B, eC=b3A, fC=ab4A, gC=ab4z, hC=b5z, iC=b5y, jC=ab6y, kC=ab6x, lC=b7x, mC=b7w, nC=ab8w, oC=ab8v, pC=b9v, qC=b9u, rC=ab10u, sC=ab10t, tC=b11t, uC=b11s, vC=ab12s, wC=ab12r, xC=b13r, yC=b13q, zC=ab31, AC=b30, BC=ab31, C2=b30, b5D=bC, cD=ab2D, dD=ab4D, eD=bC, fD=ab2C, gD=ab2B, hD=b3B, iD=b3A, jD=ab4A, kD=ab4z, lD=b5z, mD=b5y, nD=ab6y, oD=ab6x, pD=b7x, qD=b7w, rD=ab8w, sD=ab8v, tD=b9v, uD=b9u, vD=ab10u, wD=ab10t, xD=b11t, yD=b11s, zD=ab12s, AD=ab12r, BD=b13r, CD=b13q, 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, b13r, as, ab2s, ab4s, ab6s, ab8s, ab10s, ab12s, bt, b3t, b5t, b7t, b9t, b11t, au, ab2u, ab4u, ab6u, ab8u, ab10u, bv, b3v, b5v, b7v, b9v, aw, ab2w, ab4w, ab6w, ab8w, bx, b3x, b5x, b7x, ay, ab2y, ab4y, ab6y, bz, b3z, b5z, aA, ab2A, ab4A, bB, b3B, aC, ab2C, aD, ab2D, ab4D}

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 ab3D b31 b2D ab30 abD b31 D ab30

Monoid Structure

Idempotent  |G|  |Arch|
122
b30 *4488