Details Page for 0.2644

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1190
P-Portion Size:   75
Tame?   No

MSV File: q-0.2644.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
362
5102
8184
9224
12285
13365
14406
15487
16649
178011
208212
229014
239414
2910215
3630635
4231838
4332639
4534239
4838242
4945850
5147855
5552656
5663465
5864265
6367068
7269472
7969872
8973072
9974275
26380675
67493475
1748119075

(Click on a heap to see details)

Details for Q263(0.2644):

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, b4=b2, b3c=bc, bc2=b3, c3=c, bd=ab3, c2d=d, d4=ad3, be=abc, c2e=e, d2e=ab2c, e5=ace4, b2f=ab3, cf=abc, df=b3, ef=bc, f2=b2, b3g=bg, c2g=g, e2g=aceg, fg=abg, g2=b2, bh=abg, c2h=h, d3h=ad2h, e2h=ceg, fh=bg, gh=ab2, h2=b2, bi=abc, c2i=i, d2i=ab2c, dei=acde3, e2i=ace4, fi=bc, gi=eg, hi=aeg, i2=e4, bj=bc, c2j=j, d2j=b2c, de2j=cde4, e3j=ae4, fj=abc, gj=aeg, hj=eg, ij=ace2j, j2=e4, bk=b2cg, c2k=k, d2k=bcg, e2k=cdek, fk=ab2cg, gk=bc, hk=abc, ik=adek, jk=bg, k2=b2, bl=abg, d2l=d2h, e2l=aceh, fl=bg, gl=ab2, hl=b2, il=eh, jl=eg, kl=abc, l2=b2, bm=bg, c2m=m, d3m=ad2m, e2m=cel, fm=abg, gm=b2, hm=ab2, im=ael, jm=eh, km=bc, lm=ab2, m2=b2, bn=ab3, c2n=n, d3n=ad2n, en=de3, fn=b3, hn=agn, in=acde4, jn=cde4, kn=abcg, dln=adgn, dmn=ad2gn, n2=b2, bo=bc, c2o=o, d2o=ado, eo=ab2, fo=abc, ho=ago, io=ab2, jo=b2, ko=bg, lo=ago, mo=adgo, no=ab2c, o2=b2, bp=bcg, c2p=p, d3p=ad2p, ep=cem, fp=abcg, dgp=agp, hp=agp, ip=acel, jp=ceh, kp=b3, lp=agp, mp=b2c, np=del, op=b2g, p2=b2, bq=bcg, c2q=q, d3q=ad2q, fq=abcg, d2gq=gp, d2hq=ab2c, iq=ace2q, jq=ae3q, kq=b3, elq=achq, d2mq=b2c, emq=clq, nq=de2q, oq=b2g, pq=cmq, q2=b2, br=bg, c2r=r, d3r=ad2r, er=em, fr=abg, gr=b2, hr=ab2, ir=ael, jr=eh, kr=bc, lr=ab2, mr=b2, nr=cdel, or=b2cg, pr=b2c, qr=mq, r2=b2, bs=bc, c2s=s, ds=agp, e2s=b2c, fs=abc, gs=b2cg, hs=ab2cg, is=ab2, js=b2, ks=bg, ls=ab2cg, ms=b2cg, ns=ab2c, os=b2, ps=b2g, qs=b2g, rs=b2cg, s2=b2, b3t=bt, c2t=t, d2t=b2t, de2t=acdet, e3t=ace2t, ft=abt, b2gt=gt, dgt=agt, egt=acgt, ht=agt, it=ace2t, jt=ce2t, kt=bcgt, lt=agt, mt=gt, nt=acdet, ot=b2ct, pt=cgt, gqt=b2ct, rt=gt, st=b2ct, t2=b2, bu=bcg, c2u=u, d3u=ab2cg, eu=ab2g, fu=abcg, d2gu=aces, d2hu=ab2c, iu=ab2g, ju=b2g, ku=b3, mu=b2c, d2nu=ab2cg, dgnu=aces, lnu=agnu, ou=cdnu, pu=b2, qu=b2, ru=b2c, su=b2g, tu=cgt, u2=b2, bv=abt, c2v=v, d3v=ad2v, e2v=acev, fv=bt, gv=agt, hv=gt, iv=ev, jv=aev, kv=abcgt, lv=gt, mv=agt, nv=acdev, ov=ab2ct, pv=acgt, qv=acgt, rv=agt, sv=ab2ct, tv=ab2, uv=acgt, v2=b2, bw=ab2t, c2w=w, d2w=abt, e3w=ace2w, fw=b2t, egw=acgw, hw=agw, iw=ace2w, jw=ce2w, kw=acgt, elw=cgw, emw=clw, nw=de2w, ow=abct, pw=cmw, qw=abcgt, rw=mw, sw=abct, tw=ab3, uw=abcgt, vw=b3, w2=b2, bx=abg, c2x=x, d3x=ad2x, e3x=ace2x, fx=bg, degx=acdegq, hx=agx, ix=ace2x, jx=ce2x, kx=abc, lx=agx, demx=cdehq, d2nx=adnx, mnx=gnx, dox=aox, gox=agp, dpx=dhq, gpx=ab2cg, qx=ab2c, rx=cpx, sx=ab2cg, tx=agt, ux=ab2c, vx=gt, wx=bgt, x2=b2, by=abcg, c2y=y, dy=d2u, ey=b2g, fy=bcg, hy=dhu, iy=b2g, jy=ab2g, ky=ab3, ly=dlu, my=ab2c, ny=dnu, oy=ab2g, py=ab2, qy=ab2, ry=ab2c, sy=ab2g, ty=acgt, uy=ab2, vy=cgt, wy=bcgt, xy=b2c, y2=b2, bz=ab2ct, c2z=z, d2z=abct, ez=bt, fz=b2ct, dhz=abcgt, iz=bt, jz=abt, kz=agt, dlz=abcgt, mz=abcgt, dnz=abct, gnz=dgz, lnz=adgz, oz=abt, pz=abgt, qz=abgt, rz=abcgt, sz=abt, tz=abc, uz=abgt, vz=bc, wz=b2c, xz=bcgt, yz=bgt, z2=b2, bA=ab2ct, c2A=A, d3A=ad2A, deA=abt, e2A=aceA, fA=b2ct, gA=abcgt, hA=bcgt, iA=eA, jA=aeA, kA=agt, lA=bcgt, mA=abcgt, d2nA=adnA, oA=cdnA, pA=abgt, qA=abgt, rA=abcgt, sA=abt, tA=abc, uA=abgt, vA=bc, wA=b2c, xA=bcgt, yA=bgt, zA=b2, A2=b2, bB=bg, c2B=B, dB=ade2x, eB=acB, fB=abg, gB=aegq, hB=egq, iB=acB, jB=cB, kB=bc, lB=egq, mB=aegq, nB=ade2x, oB=b2cg, pB=acegq, qB=b2c, rB=aegq, sB=b2cg, tB=gt, uB=b2c, vB=agt, wB=abgt, xB=ab2, yB=ab2c, zB=abcgt, AB=abcgt, B2=b2, b2C=C, c2C=C, dC=aC, eC=acC, fC=abC, hC=agC, iC=acC, jC=cC, kC=bcgC, lC=agC, mC=gC, nC=aC, oC=cC, pC=cgC, qC=cgC, rC=gC, sC=cC, uC=cgC, vC=atC, wC=abtC, xC=agC, yC=acgC, zC=abctC, AC=abctC, BC=gC, C2=b2, bD=ab3, c2D=D, dD=cdhq, e3D=ace2D, fD=b3, gD=ab2g, hD=b2g, iD=ace2D, jD=ce2D, kD=abcg, lD=b2g, mD=ab2g, nD=degq, oD=ab2c, pD=ab2cg, qD=ab2cg, rD=ab2g, sD=ab2c, tD=ab2t, uD=ab2cg, vD=b2t, wD=bt, xD=b2g, yD=b2cg, zD=bct, AD=bct, BD=ab2g, CD=aC, D2=b2, b2E=E, c2E=E, dE=aE, eE=acE, fE=abE, hE=agE, iE=acE, jE=cE, kE=bcgE, lE=agE, mE=gE, nE=aE, oE=cE, pE=cgE, qE=cgE, rE=gE, sE=cE, uE=cgE, vE=atE, wE=abtE, xE=agE, yE=acgE, zE=abctE, AE=abctE, BE=gE, DE=aE, E2=b2>

P = {a, b2, c2, acd, d2, ad3, cde, e2, ade2, ace3, cde3, e4, ade4, af, ach, ci, ej, aek, dek, al, cn, acdn, cd2n, acp, cdp, acd2p, cq, acdq, cd2q, egq, achq, cdhq, adehq, aclq, cdlq, cmq, acdmq, cr, acdr, cd2r, acs, cqt, aeqt, deqt, agu, dgu, hu, aclu, cdlu, gnu, cv, acdv, cd2v, aev, dev, dgw, cgx, acdgx, cd2gx, amx, dmx, ad2mx, acgnx, cdgnx, acpx, acgz, cdgz, chz, aA, ad2A, ceA, adnA, aD, ceD, ae2D}

Phi = 1 1 a bc abc b ab c d e abc bc f g h i j k ab3 abc l m n o bcg b3 bc ab3 b2g p agp bcg abcg ab3 b3 b2g q gp bg bcg b3 ab3 r s ces ab2t bcg ab3 t u ab2c v bcg ab3 abg w x bc y bcg b3 ab2t bt z ab2c b2cg gt ab3 abcg abcgt bct b2cg A ab2ct b3 bcg abt b2c ab2cg B b3 ab3 abcg cdegq ab2c b2cg b2g ab3 abcg C bcg cdegq ab2 b2g ab2t abc abt bcg b2c D ab2g b2t bc agt bcg ab2c ab2 b2c ab2t abc bcg bct bcgt b2c C ab2t aC abcC abct bct ab2c ab2t b2t bc b2ct bct abt bt ab2 ab2t abc ab3 C bt ab2 ab2c bcg abcg bc bcgt ab2g abt abcC abcg bcg abc ab2g C b2g b2c bcg b2ct abcC ab3 b2g b2cg b2c bcg abcg bcC abt b2g b2cg ab2c acgt bg abcC ab3 abt bt C b2ct bcg bg abcC bt ab2cg C b2ct abcg bg bcgt bt b2g ab2cg gt aC bg bt bcgt gC b2cg acgt bg ab2t bgt abt bcC b2g ab2ct C abg abgC abgt bcC abcC b2g ab3 C b2c abt cgC actC ab3 gt abcg bcgC abcgt abct b2g bgC agt abgC C b2c bcgt ab2g atC b2t agt bcg abct b2c actC bcC ab2t aC abtC abct abt acgC ab2t b3 ab2ct abct bct ab2c agtC acgC ab3 bcgtC bgC abt bt aC tC bcg abgtC bgtC bt aC tC gt E bc abgtC ab2g abt b2c C b2ct abgC abcC abct bt cgtC gt b2ct abcgtC acgC b2g abt E abcg ab2ct b2ct bcC b2g abt bt aC bg ab2ct abcgtC bcgt bt acgC C cgt E bcgtC bt aE acgtC cgt bg ab2t bgt abgt abt E agtC gt aE abgt acgC ab2c gE cgt C agt bcC abcgt abcgtC bcgt abcE aE abcgE bgtC E ab2 abcgt gE gt abgC bgC abt b2cg atC acgE gt acgt abctC C b2cg bcC agC gt abcE bgtC b2c bct aE abcC b3 actC abgtC bcg b2c E bcC b2t bcE bgE abct abcgt E b2ct ab2t agC abcE bgC ab2c E acE bctE acgt bcE bctC bct tC gt abc tE bgtC atE bt aE E ab2t ab2ct bcE abcgt abt bt aC gt b2ct bcE abcE bt cgE gt b2ct bgE tC bcE bt gtC abcgtE bcg b2ct bC abcC abt bt aE bcg ab2ct bcgE b2g abgtC aE acgE bcg ab2ct bcgE ab2c abt agE aC bcg acgE bgE abcC bt abt gE bcg abcg bE abgtC ab2g aE C abcg gtE abcgE bC b2g ab2 cgtC ab3 C gtC bt bgt aE gE cgC gt ctE gtE btE bcC tC cgtC tE C bt bcgt bcC cE aCE ab3 bE b2c bct aE E agt b2g bcE abCE ab2cg cE agtC b2ct agt acgtC abct bt bCE acE b2t agt abcE agtE abt btE E b2t gC abE bcgCE abct bctE cE abc ab2ct gC abcE bt abt cE abtE gC ctE bcE abct cgE bgC gt cgtE gtE b2g bt abt gt ab3 abgE gC abcgt abCE bt acgtC cgtC ab2t bcgE bcgt bt acCE bgC cCE ab2ct cgC b2g abcCE gE E bcg cgtC abgtC abcC bt agE E agt cCE bgE ab2g bCE E gE agt acC abcE b2g abcgt bC abgtE abcg cgt aC bgE b2g bcC abgtE b2ct cgt C b2g bgt abcgt E bcgC agt acgtE abt abcgCE bcgt ab2ct acgE aC cgtE b2c bcgCE abcC bcg abCE gCE cC abt ab2g bctE E ab2ct acCE C bgE bcgCE bcgt bcC b3 ab2t aC bE bcgCE cE aE ab2ct agCE atE gtCE b2c bcgC E ab3 abctC acgtC ctE ab2cg cgE abctE b2t ab2ct gC tE ab2c abcgC aE btCE b2ct acgC abcE bgtCE abt bgC ab3 gC cgC ab2c abctC bcgtE abctE ab3 ab2t b2ct bcgt abct abgC agt cCE b2ct ab2ct b2cg atCE cgE abcC gt bcg bgtC bcgt abCE

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *128752
c244
ad3412
e4436