Details Page for 0.7175

Complete Solution is Known:

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

MSV File: q-0.7175.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 Q41(0.7175):

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, c10=ac9, bd=ab, cd=ac, d2=b2, b2e=e, c2e=abc3, de=ae, ce2=c3, e8=ac9, b2f=f, cf=abce, df=af, e3f=abe4, ef2=abe2f, f8=ac9, b2g=g, c2g=ac4, dg=ag, ceg=bc4, e6g=c9, 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=ac9, 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=c9, hj2=abc9, ij2=c9, j3=abc9, b2k=k, ck=abcj, dk=ak, e6k=c9, 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, ek2=abe4k, fk2=e4k, gk2=be5k, hk2=ae5k, ik2=be5k, jk2=abj2k, k3=c9, b2l=l, cl=cj, dl=al, e2l=ae3g, efl=abeg2, f2l=ae3g, egl=g2i, fgl=abe4g, g2l=ae5g, hl=abe3g, eil=e4g, 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=c9, hm=abe3j, eim=e4j, gim=j2k, cjm=bc8, ejm=c9, fjm=abc9, gjm=abc9, ijm=abc9, j2m=c9, ekm=ae5k, fkm=be5k, gkm=c9, ikm=c9, jkm=abj2k, k2m=c9, lm=ae4j, m2=ac9, b2n=n, cn=abcm, dn=an, e2n=ae3k, efn=abegk, f2n=ae3k, egn=gik, fgn=abe4k, g2n=ae5k, hn=abe3k, ein=e4k, gin=gjk, ejn=ae5k, fjn=be5k, gjn=c9, ijn=c9, j2n=abc9, kn=abkm, ln=ae4k, mn=e5k, n2=abe5k, b2o=o, co=cm, do=ao, eo=il, fo=abgl, g2o=c9, ho=be4g, gio=j2k, jo=jm, gko=c9, iko=c9, k2o=c9, lo=e5g, mo=ac9, no=e5k, o2=ac9, b2p=p, c3p=abc8, dp=ap, cep=abc2p, e2p=e4j, efp=abgij, f2p=e4j, cgp=bc8, egp=j2k, fgp=abc9, g2p=abc9, hp=be4j, eip=c9, gip=abj2k, cjp=c9, ejp=abc9, fjp=c9, gjp=c9, ijp=c9, j2p=abc9, ekp=c9, fkp=abc9, gkp=abc9, ikp=abc9, jkp=j2k, k2p=abc9, lp=ac9, mp=bc9, np=ac9, op=bc9, p2=ac9, b2q=q, cq=abcp, dq=aq, e2q=e4k, fq=abeq, gq=agik, hq=be4k, iq=agik, jq=agjk, kq=bgjk, lq=e5k, mq=ac9, nq=bc9, oq=ac9, pq=bc9, q2=ac9, b2r=r, cr=cp, dr=ar, e2r=ae5g, fr=aber, gr=agil, hr=abe5g, ir=agil, jr=aj2k, kr=agjk, lr=ac9, mr=bc9, nr=ac9, or=bc9, pr=ac9, qr=bc9, r2=ac9, b2s=s, c3s=aj2k, ds=as, ces=abc2s, e3s=bc9, fs=abes, cgs=j2k, egs=abc9, g2s=c9, hs=be2s, is=gs, js=bj2k, ks=ac9, ls=bc9, ms=ac9, ns=bc9, os=ac9, ps=bc9, qs=ac9, rs=bc9, s2=ac9, b2t=t, ct=abcs, dt=at, e3t=ac9, eft=abe2t, f3t=bc9, gt=ae2t, ht=bf2t, it=ae2t, jt=ac9, kt=bj2k, lt=ac9, mt=bc9, nt=ac9, ot=bc9, pt=ac9, qt=bc9, rt=ac9, st=bc9, t2=ac9, b2u=u, cu=cs, du=au, e2u=ags, efu=bgs, f2u=e2s, gu=gs, hu=be2s, iu=gs, ju=bj2k, ku=aj2k, lu=bc9, mu=ac9, nu=bc9, ou=ac9, pu=bc9, qu=ac9, ru=bc9, su=ac9, tu=bc9, u2=ac9, b2v=v, c4v=abj2k, dv=av, cev=abc2v, e3v=ae2s, fv=abev, cgv=ac3v, egv=ags, g2v=abc9, hv=be2v, iv=gv, jv=gs, kv=abgs, lv=gs, mv=bc9, nv=ac9, ov=bc9, pv=ac9, qv=bc9, rv=ac9, sv=bc9, tv=ac9, uv=bc9, v2=ac9, b2w=w, cw=abcv, dw=aw, e2w=bgv, efw=agv, f3w=ae2s, gw=abgv, hw=bf2w, iw=abgv, jw=abgs, kw=abc3v, lw=abgs, mw=ac9, nw=bj2k, ow=ac9, pw=bc9, qw=ac9, rw=bc9, sw=ac9, tw=bc9, uw=ac9, vw=bc9, w2=ac9, b2x=x, cx=cv, dx=ax, e2x=agv, efx=bgv, f2x=abf2w, gx=gv, hx=af2w, ix=gv, jx=abc3v, kx=c3v, lx=gs, mx=bj2k, nx=aj2k, ox=bc9, px=ac9, qx=bc9, rx=ac9, sx=bc9, tx=ac9, ux=bc9, vx=ac9, wx=bc9, x2=ac9, b2y=y, c3y=bc2v, dy=ay, cey=abc2y, e2y=aev, fy=abey, cgy=abc2v, egy=agv, g2y=ags, hy=abev, iy=gy, jy=gv, ky=abgv, ly=gv, my=gs, ny=abgs, oy=gs, py=bc9, qy=ac9, ry=bc9, sy=ac9, ty=bc9, uy=ac9, vy=bc9, wy=ac9, xy=bc9, y2=ac9, b2z=z, cz=abcy, dz=az, e3z=abgv, efz=abe2z, f3z=bf2w, gz=ae2z, hz=bf2z, iz=ae2z, jz=abgv, kz=ac2v, lz=abgv, mz=abgs, nz=abc3v, oz=abgs, pz=ac9, qz=bj2k, rz=ac9, sz=bc9, tz=ac9, uz=bc9, vz=ac9, wz=bc9, xz=ac9, yz=bc9, z2=ac9, b2A=A, c2A=bcy, dA=aA, ceA=acy, e2A=aey, fA=abeA, cgA=abc2y, egA=agy, g2A=agv, hA=abey, iA=gA, jA=gy, kA=abgy, lA=gy, mA=gv, nA=abgv, oA=gv, pA=gs, qA=abgs, rA=gs, sA=bc9, tA=ac9, uA=bc9, vA=ac9, wA=bc9, xA=ac9, yA=bc9, zA=ac9, A2=ac9, b2B=B, cB=cA, dB=aB, e3B=ex, efB=abe2B, f3B=fx, gB=ae2B, hB=bf2B, iB=ae2B, jB=ac2y, kB=bc2y, lB=ex, mB=ac2v, nB=bc2v, oB=gv, pB=abc3v, qB=c3v, rB=gs, sB=bj2k, tB=aj2k, uB=bc9, vB=ac9, wB=bc9, xB=ac9, yB=bc9, zB=ac9, AB=ac9, B2=ac9, b2C=C, c2C=bcA, dC=aC, ceC=acA, e2C=aeB, efC=beB, f2C=bfB, gC=eB, hC=fB, iC=eB, jC=abcy, kC=cy, lC=ae2B, mC=ac2y, nC=bc2y, oC=ex, pC=ac2v, qC=bc2v, rC=gv, sC=abc3v, tC=c3v, uC=gs, vC=bj2k, wC=aj2k, xC=bc9, yC=ac9, zC=bc9, AC=bc9, BC=bc9, C2=ac9, b2D=D, c2D=bcC, dD=aD, ceD=acC, e3D=eA, fD=abeD, cgD=acA, e2gD=gA, g2D=agA, hD=be2D, iD=gD, jD=aegD, kD=begD, lD=aegD, mD=gA, nD=abgA, oD=gA, pD=gy, qD=abgy, rD=gy, sD=gv, tD=abgv, uD=gv, vD=gs, wD=abgs, xD=gs, yD=bc9, zD=ac9, AD=ac9, BD=ac9, CD=bc9, D2=ac9, b2E=E, cE=abcD, dE=aE, e4E=aez, efE=abe2E, f4E=bfz, gE=ae2E, hE=bf2E, iE=ae2E, jE=e3E, kE=abcA, lE=e3E, mE=ez, nE=abcy, oE=ez, pE=ae2z, qE=ac2y, rE=ae2z, sE=abgv, tE=ac2v, uE=abgv, vE=abgs, wE=abc3v, xE=abgs, yE=ac9, zE=bj2k, AE=bc9, BE=bc9, CE=ac9, DE=bc9, E2=ac9>

P = {a, b2, abc, c2, ac3, c4, ac5, c6, ac7, c8, ac9, e2, be3, e4, be5, e6, be7, aef, f2, af3, f4, af5, f6, af7, aeg, abe3g, ae4g, abe5g, fg, af2g, g2, bh, eh, abfh, abei, bgi, abhi, be2j, e3j, be4j, hj, j2, ae2k, abe3k, ae4k, abe5k, abhk, ajk, k2, al, bm, abjm, km, an, jn, bo, cp, bq, bs, abcs, bc2s, ae2s, abet, bf2t, eu, cv, ac2v, c3v, abev, gv, ew, abfw, ax, abex, fx, abcy, bc2y, ey, abgy, az, abez, ae2z, fz, af2z, cA, abeA, gA, abeB, ae2B, fB, af2B, bC, abcC, eC, abfC, aD, cD, abeD, ae2D, gD, begD, bE, eE, be2E, e3E, abfE, bf2E, abf3E}

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 f2E B aeD bfE C D E

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
ac9 *4712