Details Page for 0.1451

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   634
P-Portion Size:   135
Tame?   No

MSV File: q-0.1451.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
9102
13122
27305
31488
36589
407813
458414
4910819
5411420
5814226
6314827
6718034
7218635
7622243
8122844
8526853
9027454
9431864
9932465
10337276
10837877
11243089
11743690
121492103
126498104
130558118
135564119
139628134
144634135

(Click on a heap to see details)

Details for Q144(0.1451):

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,F,G | a2=1, b3=b, b2c3=c3, c4=b2c2, bd=ab, cd=ac, d3=ad2, ce=c2, de=ae, be2=bc2, e3=c3, bf=ab, c2f=ae2, d2f=adf, e2f=ae2, f2=df, b2cg=cg, c2g=c3, d2g=adg, eg=e2, fg=dg, bg2=bc2, cg2=c3, dg2=ag2, g3=c3, bh=ab, c3h=ac3, dh=ah, e2h=ag2, cgh=acg, g2h=ag2, h2=fh, ci=cg, di=ai, ei=cg, gi=g2, hi=fi, bi2=bc2, fi2=ai2, i3=c3, bj=ab, c3j=ac3, dj=aj, e2j=c2j, fj=aj, cgj=acg, g2j=ai2, c2hj=i2, i2j=ai2, j2=hj, ck=cg, dk=ak, ek=cg, fk=ak, gk=cg, ik=i2, jk=hk, bk2=bc2, hk2=ak2, k3=c3, bl=ab, c3l=ac3, dl=al, e2l=c2l, fl=al, cgl=acg, g2l=c2l, hl=al, i2l=ak2, c2jl=k2, k2l=ak2, l2=jl, cm=cg, dm=am, em=cg, fm=am, gm=cg, hm=am, im=cg, km=k2, lm=jm, bm2=bc2, jm2=am2, m3=c3, bn=ab, c3n=ac3, dn=an, e2n=c2n, fn=an, cgn=acg, g2n=c2n, hn=an, i2n=c2n, jn=an, k2n=am2, c2ln=m2, m2n=am2, n2=ln, co=cg, do=ao, eo=cg, fo=ao, go=cg, ho=ao, io=cg, jo=ao, ko=cg, mo=m2, no=lo, bo2=bc2, lo2=ao2, o3=c3, bp=ab, c3p=ac3, dp=ap, e2p=c2p, fp=ap, cgp=acg, g2p=c2p, hp=ap, i2p=c2p, jp=ap, k2p=c2p, lp=ap, m2p=ao2, c2np=o2, o2p=ao2, p2=np, cq=cg, dq=aq, eq=cg, fq=aq, gq=cg, hq=aq, iq=cg, jq=aq, kq=cg, lq=aq, mq=cg, oq=o2, pq=nq, bq2=bc2, nq2=aq2, q3=c3, br=ab, c3r=ac3, dr=ar, e2r=c2r, fr=ar, cgr=acg, g2r=c2r, hr=ar, i2r=c2r, jr=ar, k2r=c2r, lr=ar, m2r=c2r, nr=ar, o2r=aq2, c2pr=q2, q2r=aq2, r2=pr, cs=cg, ds=as, es=cg, fs=as, gs=cg, hs=as, is=cg, js=as, ks=cg, ls=as, ms=cg, ns=as, os=cg, qs=q2, rs=ps, bs2=bc2, ps2=as2, s3=c3, bt=ab, c3t=ac3, dt=at, e2t=c2t, ft=at, cgt=acg, g2t=c2t, ht=at, i2t=c2t, jt=at, k2t=c2t, lt=at, m2t=c2t, nt=at, o2t=c2t, pt=at, q2t=as2, c2rt=s2, s2t=as2, t2=rt, cu=cg, du=au, eu=cg, fu=au, gu=cg, hu=au, iu=cg, ju=au, ku=cg, lu=au, mu=cg, nu=au, ou=cg, pu=au, qu=cg, su=s2, tu=ru, bu2=bc2, ru2=au2, u3=c3, bv=ab, c3v=ac3, dv=av, e2v=c2v, fv=av, cgv=acg, g2v=c2v, hv=av, i2v=c2v, jv=av, k2v=c2v, lv=av, m2v=c2v, nv=av, o2v=c2v, pv=av, q2v=c2v, rv=av, s2v=au2, c2tv=u2, u2v=au2, v2=tv, cw=cg, dw=aw, ew=cg, fw=aw, gw=cg, hw=aw, iw=cg, jw=aw, kw=cg, lw=aw, mw=cg, nw=aw, ow=cg, pw=aw, qw=cg, rw=aw, sw=cg, uw=u2, vw=tw, bw2=bc2, tw2=aw2, w3=c3, bx=ab, c3x=ac3, dx=ax, e2x=c2x, fx=ax, cgx=acg, g2x=c2x, hx=ax, i2x=c2x, jx=ax, k2x=c2x, lx=ax, m2x=c2x, nx=ax, o2x=c2x, px=ax, q2x=c2x, rx=ax, s2x=c2x, tx=ax, u2x=aw2, c2vx=w2, w2x=aw2, x2=vx, cy=cg, dy=ay, ey=cg, fy=ay, gy=cg, hy=ay, iy=cg, jy=ay, ky=cg, ly=ay, my=cg, ny=ay, oy=cg, py=ay, qy=cg, ry=ay, sy=cg, ty=ay, uy=cg, wy=w2, xy=vy, by2=bc2, vy2=ay2, y3=c3, bz=ab, c3z=ac3, dz=az, e2z=c2z, fz=az, cgz=acg, g2z=c2z, hz=az, i2z=c2z, jz=az, k2z=c2z, lz=az, m2z=c2z, nz=az, o2z=c2z, pz=az, q2z=c2z, rz=az, s2z=c2z, tz=az, u2z=c2z, vz=az, w2z=ay2, c2xz=y2, y2z=ay2, z2=xz, cA=cg, dA=aA, eA=cg, fA=aA, gA=cg, hA=aA, iA=cg, jA=aA, kA=cg, lA=aA, mA=cg, nA=aA, oA=cg, pA=aA, qA=cg, rA=aA, sA=cg, tA=aA, uA=cg, vA=aA, wA=cg, yA=y2, zA=xA, bA2=bc2, xA2=aA2, A3=c3, bB=ab, c3B=ac3, dB=aB, e2B=c2B, fB=aB, cgB=acg, g2B=c2B, hB=aB, i2B=c2B, jB=aB, k2B=c2B, lB=aB, m2B=c2B, nB=aB, o2B=c2B, pB=aB, q2B=c2B, rB=aB, s2B=c2B, tB=aB, u2B=c2B, vB=aB, w2B=c2B, xB=aB, y2B=aA2, c2zB=A2, A2B=aA2, B2=zB, cC=cg, dC=aC, eC=cg, fC=aC, gC=cg, hC=aC, iC=cg, jC=aC, kC=cg, lC=aC, mC=cg, nC=aC, oC=cg, pC=aC, qC=cg, rC=aC, sC=cg, tC=aC, uC=cg, vC=aC, wC=cg, xC=aC, yC=cg, AC=A2, BC=zC, C2=b2c2, bD=ab, c3D=ac3, dD=aD, e2D=c2D, fD=aD, cgD=acg, g2D=c2D, hD=aD, i2D=c2D, jD=aD, k2D=c2D, lD=aD, m2D=c2D, nD=aD, o2D=c2D, pD=aD, q2D=c2D, rD=aD, s2D=c2D, tD=aD, u2D=c2D, vD=aD, w2D=c2D, xD=aD, y2D=c2D, zD=aD, A2D=ab2c2, BD=b2, CD=ab2C, D2=b2, cE=cg, dE=aE, eE=cg, fE=aE, gE=cg, hE=aE, iE=cg, jE=aE, kE=cg, lE=aE, mE=cg, nE=aE, oE=cg, pE=aE, qE=cg, rE=aE, sE=cg, tE=aE, uE=cg, vE=aE, wE=cg, xE=aE, yE=cg, zE=aE, AE=cg, BE=ab2E, CE=b2c2, DE=ab2E, E2=b2c2, bF=ab, c3F=ac3, dF=aF, e2F=c2F, fF=aF, cgF=acg, g2F=c2F, hF=aF, i2F=c2F, jF=aF, k2F=c2F, lF=aF, m2F=c2F, nF=aF, o2F=c2F, pF=aF, q2F=c2F, rF=aF, s2F=c2F, tF=aF, u2F=c2F, vF=aF, w2F=c2F, xF=aF, y2F=c2F, zF=aF, A2F=c2F, BF=aF, DF=b2, EF=ab2E, F2=b2, cG=cg, dG=aG, eG=cg, fG=aG, gG=cg, hG=aG, iG=cg, jG=aG, kG=cg, lG=aG, mG=cg, nG=aG, oG=cg, pG=aG, qG=cg, rG=aG, sG=cg, tG=aG, uG=cg, vG=aG, wG=cg, xG=aG, yG=cg, zG=aG, AG=cg, BG=aG, CG=cg, DG=ab2G, EG=b2c2, FG=ab2G, G2=b2c2>

P = {a, b2, c2, b2c2, d2, e2, df, ag, abcg, g2, ch, fh, ai, i2, cj, ej, hj, ak, k2, cl, el, gl, jl, am, m2, cn, en, gn, in, ln, ao, o2, cp, ep, gp, ip, kp, np, aq, q2, cr, er, gr, ir, kr, mr, pr, as, s2, ct, et, gt, it, kt, mt, ot, rt, au, u2, cv, ev, gv, iv, kv, mv, ov, qv, tv, aw, w2, cx, ex, gx, ix, kx, mx, ox, qx, sx, vx, ay, y2, cz, ez, gz, iz, kz, mz, oz, qz, sz, uz, xz, aA, A2, cB, eB, gB, iB, kB, mB, oB, qB, sB, uB, wB, zB, aC, cD, eD, gD, iD, kD, mD, oD, qD, sD, uD, wD, yD, aE, cF, eF, gF, iF, kF, mF, oF, qF, sF, uF, wF, yF, AF, aG}

Phi = 1 a 1 a a b b b b c a a ab2 d b b b b e ab2 ab2 ab2 f b b b b g ab2 ab2 ab2 h b b b b i ab2 ab2 ab2 j b b b b k ab2 ab2 ab2 l b b b b m ab2 ab2 ab2 n b b b b o ab2 ab2 ab2 p b b b b q ab2 ab2 ab2 r b b b b s ab2 ab2 ab2 t b b b b u ab2 ab2 ab2 v b b b b w ab2 ab2 ab2 x b b b b y ab2 ab2 ab2 z b b b b A ab2 ab2 ab2 B b b b b C ab2 ab2 ab2 D b b b b E ab2 ab2 ab2 F b b b b G ab2 ab2 ab2

Monoid Structure

Idempotent  |G|  |Arch|
122
b248
b2c2 *8572
d224
df24
fh24
hj24
jl24
ln24
np24
pr24
rt24
tv24
vx24
xz24
zB24