Details Page for 0.3501

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2050
P-Portion Size:   432
Tame?   No

MSV File: q-0.3501.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
4144
6389
77017
810626
1024653
1142692
12774165
131174249
141382294
151650347
161714358
171826383
182050432

(Click on a heap to see details)

Details for Q14(0.3501):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a2=1, b3=b, b2c=c, c4=c3, b2d=d, c3d=c2d, cd2=d2, d3=ad2, b2e=e, c3e=bc3, c2de=bc2d, d2e=bd2, c2e2=c2, ce3=ce, e4=e2, b2f=f, cdf=df, d2f=ad2, def=bdf, c2f2=d2, df2=ad2, e2f2=f2, f3=acf2, b2g=g, c2g=bc3, cdg=bc2d, d2g=bd2, deg=cd, ce2g=cg, dfg=bdf, f2g=cef2, cg2=c3, eg2=bc3, dg3=bdg2, fg3=bfg2, g4=bg3, b2h=h, ch=c2, dh=cd, e3h=eh, fh=cf, gh=cg, e2h2=h2, h3=c3, b2i=i, di=d2, e2fi=fi, fg2i=c3fi, i2=d2, b2j=j, c3j=c3, dj=dg2, ce2j=cj, e3j=ej, f2j=d2, cfgj=bc2fj, fg2j=c3f, g3j=bg2j, e2hj=hj, h2j=bcgj, g2ij=c3i, cj2=c3, ej2=bc2j, g2j2=g2j, hj2=c3, fij2=bc2efij, j3=g2j, b2k=k, c2k=bcegj, d2k=bd2, cdek=c2d, de2k=bcde2, dfk=bdf, f2k=bcf2, cgk=c3, g2k=bc3, h2k=bcegj, e2jk=jk, cefjk=bcfjk, gjk=bcgj, ehjk=bhjk, j2k=bc3, ck2=cegj, dek2=bc2d, e3k2=ek2, dgk2=cdk, egk2=c3, fgk2=fgj2, hk2=cegj, gik2=gij2, jk2=cegj, k3=bc3, b2l=l, dl=df, c2fl=cfl, cefl=bcfl, e2fl=fl, f2l=acf2, cgl=bc3l, fgl=bcfl, g3l=bg2l, ce2il=cil, e3il=eil, cfil=adf, g2il=c3il, e2hil=hil, h2il=be2gil, c2jl=beh2l, fjl=cfl, gjl=bc3l, e2ijl=ijl, ij2l=be2gil, fkl=bcfl, e2gkl=c3l, hkl=bj2l, egikl=bc3il, jkl=bhjl, ek2l=eh2l, gk2l=egkl, ik2l=be2gil, l2=d2, b2m=m, cm=bc2, d2m=bd2, dem=bcde, e3m=em, dfm=bdf, f2m=bcf2, dgm=dg2, egm=bceg, g2m=bg2j, hm=bc2, fgim=bcfgi, ejm=bcej, fgjm=c2fj, fijm=bcfij, j2m=bg2j, dkm=c2d, e2km=km, gkm=bc3, jkm=bcjk, k2m=bc3, flm=bcfl, glm=c3l, e2ilm=ilm, ijlm=bcijl, klm=bce2kl, dm2=dg2, fgm2=bc3f, gim2=gij2, fjm2=c2fj, gjm2=bg2j, ijm2=c2ij, km2=bc3, jlm2=beh2l, m3=bg2j>

P = {a, b2, c, c2, c3, bd, acd, ac2d, d2, be, bce, bc2e, ade, e2, ce2, bde2, acde2, be3, ade3, f, acf, ac2f, ac3f, bdf, aef, bcef, abc2ef, e2f, ace2f, ae3f, f2, cf2, bef2, bcef2, bg, bcg, dg, eg, ceg, be2g, e3g, bfg, abcfg, aefg, acefg, be2fg, ae3fg, g2, bdg2, fg2, bg3, h, beh, e2h, h2, beh2, bi, aci, ac2i, ac3i, aei, abc2ei, be2i, ace2i, ae3i, fi, c2fi, c3fi, aefi, cefi, bf2i, acf2i, aef2i, abcgi, acegi, bcfgi, befgi, bg2i, ahi, ae2hi, ah2i, abeh2i, j, cj, c2j, bej, bcej, bc2ej, e2j, afj, acfj, ac2fj, abefj, abcefj, abc2efj, ae2fj, bgj, bcgj, egj, cegj, be2gj, bfgj, aefgj, abe2fgj, g2j, hj, behj, aij, acij, ac2ij, abceij, abc2eij, ae2ij, bfij, bcfij, efij, bc2efij, abcgij, aegij, acegij, abe2gij, fgij, ahij, abehij, j2, fj2, bgj2, bfgj2, bij2, bk, bck, adk, ek, cek, bdek, be2k, bce2k, e3k, bfk, bcfk, efk, acefk, abe2fk, abce2fk, e3fk, gk, adgk, begk, e2gk, be3gk, afgk, befgk, ae2fgk, abe3fgk, bhk, ehk, be2hk, beik, aceik, abe2ik, abce2ik, befik, bcefik, agik, ae2gik, abe3gik, aehik, abe2hik, bjk, bcjk, ejk, cejk, abfjk, abcfjk, aefjk, bhjk, abijk, abcijk, aeijk, aceijk, befijk, abhijk, k2, bdk2, bek2, e2k2, fk2, abefk2, ae2fk2, bgk2, bik2, abeik2, ae2ik2, fik2, l, acl, ac2l, ac3l, ael, bcel, abc2el, e2l, ace2l, ae3l, fl, cfl, befl, bgl, aegl, be2gl, ae3gl, g2l, ahl, behl, ae2hl, ah2l, abeh2l, il, c2il, c3il, ceil, e2il, abfil, aefil, bgil, be2gil, ehil, ajl, acjl, bejl, abcejl, ae2jl, ahjl, abehjl, bijl, bcijl, eijl, j2l, bkl, bckl, ekl, acekl, abe2kl, abce2kl, e3kl, agkl, begkl, beikl, k2l, bm, dm, em, be2m, abfm, efm, abe2fm, gm, fgm, abim, abe2im, efim, bjm, bfjm, gjm, ijm, km, bekm, afkm, abefkm, aikm, abeikm, ablm, elm, abe2lm, eilm, bjlm, m2, bem2, e2m2, fm2, abefm2, ae2fm2, bgm2, bim2, abeim2, ae2im2, fim2, befim2, jm2, lm2, abelm2, ae2lm2, ilm2, beilm2}

Phi = 1 a b c d b2 e f g h i j k l m

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c34228
d2 *41076
e2812
bg3412
g2j448