Details Page for 0.7165

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   748
P-Portion Size:   113
Tame?   No

MSV File: q-0.7165.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5144
7164
10244
11366
14407
16527
17729
188410
219211
2213214
2314015
2414415
2518022
2619223
2719623
2824833
2927637
3029640
3134847
3238453
3341257
3445664
3549269
3652072
3757280
3860886
3963290
40680100
41720108
42748113

(Click on a heap to see details)

Details for Q39(0.7165):

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 | a2=1, b3=b, b2c=c, c9=ac8, bd=ab, cd=ac, d2=b2, b2e=e, c2e=abc3, de=ae, ce2=c3, e7=bc8, b2f=f, cf=abce, df=af, e3f=abe4, ef2=abe2f, f7=ac8, b2g=g, c2g=ac4, dg=ag, ceg=bc4, e5g=abc8, efg=abe2g, f3g=abe3g, cg2=c5, e2g2=ae4g, fg2=be3g, g3=e4g, b2h=h, ch=abcg, dh=ah, e2h=be4, f2h=bf4, gh=abg2, h2=f4, b2i=i, ci=cg, di=ai, e2i=f2g, fi=abeg, egi=eg2, ehi=be3g, i2=abhi, b2j=j, c2j=abc5, dj=aj, cej=c5, e5j=c8, e2fj=abe3j, f2j=e2j, cgj=bc6, e2gj=ae4j, fgj=be3j, g2j=e4j, ehj=be3j, fhj=ae3j, eij=ae3j, hij=abe4j, cj2=c7, ej2=e4j, fj2=abe4j, gj2=ac8, hj2=bc8, ij2=ac8, j3=bc8, b2k=k, ck=abcj, dk=ak, e5k=abc8, e2fk=abe3k, f2k=e2k, e2gk=ae4k, fgk=be3k, g2k=e4k, ehk=be3k, fhk=ae3k, eik=ae3k, hik=abe4k, ejk=gik, fjk=abgik, hjk=abgjk, ijk=gjk, j2k=abgjk, ek2=abe4k, fk2=e4k, gk2=ac8, hk2=bc8, ik2=ac8, jk2=gjk, k3=ac8, b2l=l, cl=cj, dl=al, e2l=ae3g, efl=abeg2, f2l=ae3g, egl=g2i, fgl=abe4g, g2l=bc8, hl=abe3g, eil=e4g, gil=gjk, jl=j2, kl=abk2, l2=ae4g, b2m=m, c2m=ac6, dm=am, cem=bc6, e2m=ae3j, efm=abegj, f2m=ae3j, cgm=c7, egm=gij, fgm=abe4j, g2m=ac8, hm=abe3j, eim=e4j, gim=abgjk, cjm=bc8, ejm=ac8, fjm=bc8, gjm=bc8, ijm=bc8, j2m=ac8, ekm=bc8, fkm=ac8, gkm=ac8, ikm=ac8, jkm=gjk, k2m=ac8, lm=ae4j, m2=c8, b2n=n, cn=abcm, dn=an, e2n=ae3k, efn=abegk, f2n=ae3k, egn=gik, fgn=abe4k, g2n=bc8, hn=abe3k, ein=e4k, gin=gjk, ejn=bc8, fjn=ac8, gjn=ac8, ijn=ac8, j2n=bc8, kn=abkm, ln=ae4k, mn=abc8, n2=c8, b2o=o, co=cm, do=ao, eo=il, fo=abgl, g2o=ac8, ho=be4g, gio=abgjk, jo=jm, gko=ac8, iko=ac8, k2o=ac8, lo=abc8, mo=c8, no=abc8, o2=c8, b2p=p, c3p=abc8, dp=ap, cep=abc2p, e2p=e4j, efp=abgij, f2p=e4j, cgp=bc8, egp=abgjk, fgp=bc8, g2p=bc8, hp=be4j, eip=ac8, gip=gjk, cjp=ac8, ejp=bc8, fjp=ac8, gjp=ac8, ijp=ac8, j2p=bc8, ekp=ac8, fkp=bc8, gkp=bc8, ikp=bc8, jkp=abgjk, k2p=bc8, lp=c8, mp=abc8, np=c8, op=abc8, p2=c8, b2q=q, cq=abcp, dq=aq, e2q=e4k, fq=abeq, gq=agik, hq=be4k, iq=agik, jq=agjk, kq=bgjk, lq=abc8, mq=c8, nq=abc8, oq=c8, pq=abc8, q2=c8, b2r=r, cr=cp, dr=ar, e2r=bc8, fr=aber, gr=agjk, hr=c8, ir=agjk, jr=bgjk, kr=agjk, lr=c8, mr=abc8, nr=c8, or=abc8, pr=c8, qr=abc8, r2=c8, b2s=s, c3s=bgjk, ds=as, ces=abc2s, e3s=abc8, fs=abes, cgs=abgjk, egs=bc8, g2s=ac8, hs=be2s, is=gs, js=agjk, ks=c8, ls=abc8, ms=c8, ns=abc8, os=c8, ps=abc8, qs=c8, rs=abc8, s2=c8, b2t=t, ct=abcs, dt=at, e2t=bgs, eft=ags, f2t=abe2s, gt=abgs, ht=ae2s, it=abgs, jt=c8, kt=agjk, lt=c8, mt=abc8, nt=c8, ot=abc8, pt=c8, qt=abc8, rt=c8, st=abc8, t2=c8, b2u=u, cu=cs, du=au, e2u=ags, efu=bgs, f2u=e2s, gu=gs, hu=be2s, iu=gs, ju=agjk, ku=bgjk, lu=abc8, mu=c8, nu=abc8, ou=c8, pu=abc8, qu=c8, ru=abc8, su=c8, tu=abc8, u2=c8, b2v=v, c3v=bc2s, dv=av, cev=abc2v, e3v=ae2s, fv=abev, gv=eu, hv=be2v, iv=eu, jv=gs, kv=abgs, lv=gs, mv=abc8, nv=c8, ov=abc8, pv=c8, qv=abc8, rv=c8, sv=abc8, tv=c8, uv=abc8, v2=c8, b2w=w, cw=abcv, dw=aw, e2w=beu, efw=aeu, f2w=afu, gw=abeu, hw=abfu, iw=abeu, jw=abgs, kw=ac2s, lw=abgs, mw=c8, nw=agjk, ow=c8, pw=abc8, qw=c8, rw=abc8, sw=c8, tw=abc8, uw=c8, vw=abc8, w2=c8, b2x=x, cx=cv, dx=ax, e2x=aeu, efx=beu, f2x=bfu, gx=eu, hx=fu, ix=eu, jx=ac2s, kx=bc2s, lx=gs, mx=agjk, nx=bgjk, ox=abc8, px=c8, qx=abc8, rx=c8, sx=abc8, tx=c8, ux=abc8, vx=c8, wx=abc8, x2=c8, b2y=y, c2y=bcv, dy=ay, cey=acv, e2y=aev, fy=abey, cgy=abc2v, egy=aeu, g2y=ags, hy=abev, iy=gy, jy=eu, ky=abeu, ly=eu, my=gs, ny=abgs, oy=gs, py=abc8, qy=c8, ry=abc8, sy=c8, ty=abc8, uy=c8, vy=abc8, wy=c8, xy=abc8, y2=c8, b2z=z, cz=abcy, dz=az, e2z=aew, efz=bew, f2z=bfw, gz=ew, hz=fw, iz=ew, jz=abeu, kz=ac2v, lz=abeu, mz=abgs, nz=ac2s, oz=abgs, pz=c8, qz=agjk, rz=c8, sz=abc8, tz=c8, uz=abc8, vz=c8, wz=abc8, xz=c8, yz=abc8, z2=c8, b2A=A, c2A=bcy, dA=aA, ceA=acy, e2A=aey, fA=abeA, cgA=acv, egA=agy, g2A=aeu, hA=abey, iA=gA, jA=gy, kA=abgy, lA=gy, mA=eu, nA=abeu, oA=eu, pA=gs, qA=abgs, rA=gs, sA=abc8, tA=c8, uA=abc8, vA=c8, wA=abc8, xA=c8, yA=abc8, zA=c8, A2=c8, b2B=B, cB=cA, dB=aB, e3B=ex, efB=abe2B, f2B=x, gB=ae2B, hB=bx, iB=ae2B, jB=abcv, kB=cv, lB=ex, mB=ac2v, nB=bc2v, oB=eu, pB=ac2s, qB=bc2s, rB=gs, sB=agjk, tB=bgjk, uB=abc8, vB=c8, wB=abc8, xB=c8, yB=abc8, zB=c8, AB=c8, B2=c8, b2C=C, c2C=bcA, dC=aC, ceC=acA, e2C=aeA, fC=abeC, cgC=acy, egC=agA, g2C=agy, hC=abeA, iC=gC, jC=gA, kC=abgA, lC=gA, mC=gy, nC=abgy, oC=gy, pC=eu, qC=abeu, rC=eu, sC=gs, tC=abgs, uC=gs, vC=abc8, wC=c8, xC=abc8, yC=c8, zC=abc8, AC=abc8, BC=abc8, C2=c8, b2D=D, cD=abcC, dD=aD, e3D=ez, efD=abe2D, f2D=z, gD=ae2D, hD=bz, iD=ae2D, jD=ez, kD=abcy, lD=ez, mD=ew, nD=abcv, oD=ew, pD=abeu, qD=ac2v, rD=abeu, sD=abgs, tD=ac2s, uD=abgs, vD=c8, wD=agjk, xD=c8, yD=abc8, zD=c8, AD=c8, BD=c8, CD=abc8, D2=c8, b2E=E, cE=cC, dE=aE, e2E=aeB, efE=beB, f2E=bfB, gE=eB, hE=fB, iE=eB, jE=abcy, kE=cy, lE=ae2B, mE=abcv, nE=cv, oE=ex, pE=ac2v, qE=bc2v, rE=eu, sE=ac2s, tE=bc2s, uE=gs, vE=agjk, wE=bgjk, xE=abc8, yE=c8, zE=abc8, AE=abc8, BE=abc8, CE=c8, DE=abc8, E2=c8>

P = {a, b2, abc, c2, ac3, c4, ac5, c6, ac7, c8, e2, be3, e4, be5, e6, aef, f2, af3, f4, af5, f6, aeg, abe3g, ae4g, fg, af2g, g2, bh, eh, abfh, abei, bgi, abhi, be2j, e3j, be4j, hj, j2, ae2k, abe3k, ae4k, abhk, ajk, k2, al, bm, abjm, km, an, jn, bo, cp, bq, bs, abcs, bc2s, ae2s, abet, eu, cv, ac2v, abev, ew, abfw, ax, abex, fx, abcy, ey, abgy, az, abez, fz, cA, abeA, gA, abeB, ae2B, fB, bC, abcC, eC, abgC, aD, abeD, ae2D, fD, bE, eE, abfE}

Phi = 1 a b a b c b d b d e f e g h i j k l m n o p q r s t u v w x y z bfB A bfD B C D E

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
c8 *4624