Details Page for 0.5134

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   430
P-Portion Size:   107
Tame?   No

MSV File: q-0.5134.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
982
22123
25184
28225
31286
34348
37429
405012
436013
467017
498218
529423
5510824
5812230
6113831
6415438
6717239
7019047
7321048
7623057
7925258
8227468
8529869
8832280
9134881
9437493
9740294
100430107

(Click on a heap to see details)

Details for Q97(0.5134):

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 | a2=1, b29=b27, 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=ab27, o2=b28, b13p=ab27, cp=ab2p, dp=ab4p, ep=b5p, fp=ab6p, gp=b7p, hp=ab8p, ip=b9p, jp=ab10p, kp=b11p, lp=ab12p, mp=ab27, np=b28, op=ab27, p2=b28, b12q=ab11p, cq=ab2q, dq=ab4q, eq=b5q, fq=ab6q, gq=b7q, hq=ab8q, iq=b9q, jq=ab10q, kq=b11q, lq=b11p, mq=ab12p, nq=ab27, oq=b28, pq=ab27, q2=b28, b11r=ab10q, cr=ab2r, dr=ab4r, er=b5r, fr=ab6r, gr=b7r, hr=ab8r, ir=b9r, jr=ab10r, kr=ab10q, lr=b11q, mr=b11p, nr=ab12p, or=ab27, pr=b28, qr=ab27, r2=b28, b10s=ab9r, cs=ab2s, ds=ab4s, es=b5s, fs=ab6s, gs=b7s, hs=ab8s, is=b9s, js=b9r, ks=ab10r, ls=ab10q, ms=b11q, ns=b11p, os=ab12p, ps=ab27, qs=b28, rs=ab27, s2=b28, b9t=ab8s, ct=ab2t, dt=ab4t, et=b5t, ft=ab6t, gt=b7t, ht=ab8t, it=ab8s, jt=b9s, kt=b9r, lt=ab10r, mt=ab10q, nt=b11q, ot=b11p, pt=ab12p, qt=ab27, rt=b28, st=ab27, t2=b28, b8u=ab7t, cu=ab2u, du=ab4u, eu=b5u, fu=ab6u, gu=b7u, hu=b7t, iu=ab8t, ju=ab8s, ku=b9s, lu=b9r, mu=ab10r, nu=ab10q, ou=b11q, pu=b11p, qu=ab12p, ru=ab27, su=b28, tu=ab27, u2=b28, b7v=ab6u, cv=ab2v, dv=ab4v, ev=b5v, fv=ab6v, gv=ab6u, hv=b7u, iv=b7t, jv=ab8t, kv=ab8s, lv=b9s, mv=b9r, nv=ab10r, ov=ab10q, pv=b11q, qv=b11p, rv=ab12p, sv=ab27, tv=b28, uv=ab27, v2=b28, b6w=ab5v, cw=ab2w, dw=ab4w, ew=b5w, fw=b5v, gw=ab6v, hw=ab6u, iw=b7u, jw=b7t, kw=ab8t, lw=ab8s, mw=b9s, nw=b9r, ow=ab10r, pw=ab10q, qw=b11q, rw=b11p, sw=ab12p, tw=ab27, uw=b28, vw=ab27, w2=b28, b5x=ab4w, cx=ab2x, dx=ab4x, ex=ab4w, fx=b5w, gx=b5v, hx=ab6v, ix=ab6u, jx=b7u, kx=b7t, lx=ab8t, mx=ab8s, nx=b9s, ox=b9r, px=ab10r, qx=ab10q, rx=b11q, sx=b11p, tx=ab12p, ux=ab27, vx=b28, wx=ab27, x2=b28, b4y=ab3x, cy=ab2y, dy=b3x, ey=ab4x, fy=ab4w, gy=b5w, hy=b5v, iy=ab6v, jy=ab6u, ky=b7u, ly=b7t, my=ab8t, ny=ab8s, oy=b9s, py=b9r, qy=ab10r, ry=ab10q, sy=b11q, ty=b11p, uy=ab12p, vy=ab27, wy=b28, xy=ab27, y2=b28, b3z=ab2y, cz=ab2z, dz=b3y, ez=b3x, fz=ab4x, gz=ab4w, hz=b5w, iz=b5v, jz=ab6v, kz=ab6u, lz=b7u, mz=b7t, nz=ab8t, oz=ab8s, pz=b9s, qz=b9r, rz=ab10r, sz=ab10q, tz=b11q, uz=b11p, vz=ab12p, wz=ab27, xz=b28, yz=ab27, z2=b28, b2A=abz, cA=bz, dA=ab2y, eA=b3y, fA=b3x, gA=ab4x, hA=ab4w, iA=b5w, jA=b5v, kA=ab6v, lA=ab6u, mA=b7u, nA=b7t, oA=ab8t, pA=ab8s, qA=b9s, rA=b9r, sA=ab10r, tA=ab10q, uA=b11q, vA=b11p, wA=ab12p, xA=ab27, yA=b28, zA=ab27, A2=b28, b3B=aA, cB=ab2B, dB=bA, eB=bz, fB=ab2z, gB=ab2y, hB=b3y, iB=b3x, jB=ab4x, kB=ab4w, lB=b5w, mB=b5v, nB=ab6v, oB=ab6u, pB=b7u, qB=b7t, rB=ab8t, sB=ab8s, tB=b9s, uB=b9r, vB=ab10r, wB=ab10q, xB=b11q, yB=b11p, zB=ab12p, AB=ab27, B2=b28>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, b22, b24, b26, b28, 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, br, b3r, b5r, b7r, b9r, as, ab2s, ab4s, ab6s, ab8s, bt, b3t, b5t, b7t, au, ab2u, ab4u, ab6u, bv, b3v, b5v, aw, ab2w, ab4w, bx, b3x, ay, ab2y, bz, aA, bB}

Phi = 1 a a a b b b a a c b b b3 c c d b3 b3 b5 d d ab6 e e b7 f f ab8 g g b9 h h ab10 i i b11 j j ab12 k k b13 l l ab14 m m b15 n n ab16 o o b17 p p ab18 q q b19 r r ab20 s s b21 t t ab22 u u b23 v v ab24 w w b25 x x ab26 y y b27 z z ab28 A A b27 b2B b2B ab28 abB abB b27 B B ab28

Monoid Structure

Idempotent  |G|  |Arch|
122
b28 *4400