Details Page for 0.1603

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   4578
P-Portion Size:   558
Tame?   No

MSV File: q-0.1603.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
8102
12366
13448
148814
1512419
1615427
1743465
184578558

(Click on a heap to see details)

Details for Q18(0.1603):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b4=b2, b3c3=bc3, c4=b2c2, b2d=b3, bc3d=b2c3, bc2d2=bc2, c3d2=c3, bd3=bd, cd3=cd, d4=d2, b2e=e, de=be, c2e2=e2, e4=ae3, bcf=bc2, c2f=c3, ef=ce, bdf3=b2f3, cdf3=b3c2, bf4=b3c2, cf4=b2c3, df4=b3c2, f5=b2c3, b2c2g=b2c2, bc3g=bc3, bd2g=bg, d3g=dg, eg=e, bf2g=b3c2, cf2g=b2c3, d2f2g=f2g, f3g=b2c3, bc2g2=bc2g, c3g2=c3g, bg3=bg2, cg3=cg2, f2g3=f2g2, g4=g3, bc2h=ab3c2, c3h=ab2c3, eh=ae, b2fh=b2ch, cfh=c2h, bf2h=ab3c2, d3f2h=df2h, f3h=ab2c3, b3gh=bgh, bcgh=ab3cg2, bdgh=b2gh, bfgh=ab3cg2, f2gh=ab2c2, bg2h=bgh, c2g2h=c2gh, g3h=g2h, b3h2=bh2, c2h2=b2c2, bdh2=b2h2, d3h2=dh2, bfh2=bch2, d2fh2=fh2, f2h2=b2c2, bgh2=abgh, cgh2=b2cg2, dgh2=abgh, fgh2=b2cg2, g2h2=gh2, bh3=abh2, ch3=ab2ch2, dh3=abh2, fh3=ab2ch2, gh3=agh2, h4=ah3, b2c3i=c3i, c3di=bc3i, e2i=ce2, cdf2i=bc3i, f4i=cf3i, bc2gi=bc2i, c3gi=c3i, cfgi=c2gi, f2gi=b2c2i, c2g2i=c2gi, cg2hi=cghi, bc2i2=bc2g, c3i2=b2c3, ei2=e, bf2i2=bf2, cf3i2=cf3, d2f3i2=d2f3, b2gi2=b2g2, bcgi2=bcg2, bfgi2=bfg2, bg2i2=bgi2, g3i2=g2i2, bfhi2=bchi2, bghi2=bgh, cghi2=cg2h, fghi2=fgh, bh2i2=bh2, ch2i2=fh2, fh2i2=fh2, gh2i2=gh2, h3i2=h3, cf2i3=cf2i, f3i3=f3i, bgi3=bg2i, c2gi3=c2gi, g2i3=g3i, b2hi4=ab2h2, bdhi4=ad2h2i2, h2i4=h2i2, f2i5=f2i3, bi6=bi4, i7=i5, e3j=be3, bf2j=b3c2j, cf2j=b2c3j, d3f2j=df2j, df3j=bc3j, f4j=b2c2j, bc2gj=b3c2j, c3gj=b2c3j, b3fgj=bfgj, cfgj=c2gj, bdfgj=b2fgj, b3c2ij=bc2ij, bc2dij=b2c2ij, cfij=c2ij, f3i2j=f3j, b2c2j2=b2c2, bc3j2=bc3, ej2=e, bd2fj2=bfj2, f3j2=b2c3, b3cgj2=bcgj2, bcdgj2=b2cgj2, c2d2gj2=c2gj2, bfgj2=bcgj2, f2gj2=c2gj2, c2g2j2=b2c2, bfhj2=b3chj2, bghj2=ab3g2j2, c2ghj2=ab2c2, fghj2=ab2cg2j2, cg2hj2=afg3j2, bh2j2=b3g2j2, fh2j2=b2cg2j2, gh2j2=b2g2j2, bc2ij2=b3c2i, c3ij2=c3i, b3fij2=bfij2, bdfij2=b2fij2, b3gij2=bgij2, c2gij2=b2c2i, bdgij2=b2gij2, cghij2=afg3ij2, b3i2j2=bi2j2, bdi2j2=b2i2j2, bfi2j2=bci2j2, bgi2j2=b3g2j2, cg2i2j2=cg2j2, fg2i2j2=fg3j2, h2i2j2=ah3j2, f2i3j2=b2c2i, bhi3j2=abgij2, d3i4j2=di4j2, bg2j3=abghj, cg2j3=b2cg2j, fg2j3=b2cg2j, f2hj3=c2hj3, g2hj3=b2ghj, ch2j3=acghj3, h3j3=b2ghj, b3ij3=bij3, bdij3=b2ij3, bgij3=abghij, fgij3=cgij3, g3ij3=g2ij3, bhij3=bghij, h2ij3=ab2ghij, bi2j3=ab3hj3, c2i2j3=b2c2j, d3i2j3=di2j3, f2i2j3=b2c2j, g2i2j3=g3j3, fhi2j3=cghj3, ghi2j3=b2ghj, chi3j3=acgi3j3, bc2j4=adf2hi2j2, c3j4=cd2f2, bd2j4=bj4, fgj4=cgj4, d2g2j4=g2j4, g3j4=b2g2j2, bhj4=ab3g2j2, c2hj4=f2hi2j2, ghj4=ag2j4, h2j4=b2g2j2, d3ij4=dij4, f2ij4=b2c2i, cgij4=ch2ij2, g2ij4=b2g2ij2, chij4=ach2ij2, fhij4=ach2ij2, ci2j4=b2cg2j2, fi2j4=b2cg2j2, hi2j4=ab2g2j2, d3j5=dj5, b3fj5=bfj5, cfj5=c2j5, bdfj5=b2fj5, d2f2j5=f2j5, b2gj5=ab2hj3, bcgj5=ab3chj3, d2gj5=gj5, chj5=cghj3, fhj5=cghj3, bcij5=b3cgij, c2ij5=ac2hij3, bfij5=b3cgij, gij5=ad2ghij3, dhij5=bghij, i2j5=ab2ghj, b3cj6=bcj6, bcdj6=b2cj6, cd2j6=cj6, bfj6=bcj6, d2fj6=fj6, f2j6=c2j6, cgj6=b2cg2j2, g2j6=bdgj6, d2hj6=hj6, bij6=bgij2, fij6=b2cgij2, hij6=ab2g2ij2, d2j7=j7, fj7=cj7, bgj7=abghj, hj7=agj7, cij7=b2cg2ij, c2j8=c2j6, j9=j7>

P = {a, b2, c2, b2c2, ad, bcd, ac3d, ad2, c2d2, ad3, be, ac2e, e2, ae3, bf, bd2f, f2, b2f2, acdf2, d2f2, bf3, ad3f3, f4, ag, b2g, c2g, adg, bcdg, ac3dg, ad2g, c2d2g, cfg, cd2fg, f2g, ag2, b2g2, c2g2, adg2, bcdg2, ad2g2, c2d2g2, cfg2, cd2fg2, f2g2, ag3, adg3, ad2g3, h, ab2h, ac2h, abdh, acd2h, ad3fh, af2h, gh, ab2gh, ac2gh, acd2gh, g2h, acd2g2h, ah2, b2h2, d2h2, agh2, h3, i, ab2i, c3i, abcdi, d2i, abei, ac3ei, abfi, adfi, abd2fi, ad3fi, cf2i, bf3i, b3f3i, df3i, d3f3i, gi, ab2gi, abcdgi, d2gi, abfgi, adfgi, g2i, ab2g2i, abcdg2i, d2g2i, abfg2i, adfg2i, g3i, d2g3i, adfg3i, ahi, b2hi, bdhi, cd2hi, dfhi, d3fhi, aghi, b2ghi, cd2ghi, dfghi, ag2hi, dfg2hi, h2i, ab2h2i, ad2h2i, gh2i, ah3i, ai2, b2i2, c2i2, bcdi2, ad2i2, c2d2i2, bfi2, dfi2, bd2fi2, d3fi2, df3i2, agi2, c2gi2, ad2gi2, c2d2gi2, ag2i2, ad2g2i2, hi2, ab2hi2, ac2hi2, abdhi2, acd2hi2, ad3fhi2, af2hi2, ghi2, g2hi2, ah2i2, d2h2i2, i3, ab2i3, abcdi3, d2i3, abfi3, adfi3, abd2fi3, ad3fi3, gi3, d2gi3, adfgi3, ahi3, b2hi3, bdhi3, cd2hi3, dfhi3, d3fhi3, aghi3, h2i3, ad2h2i3, ai4, b2i4, c2i4, bcdi4, ad2i4, c2d2i4, bfi4, dfi4, bd2fi4, d3fi4, agi4, ad2gi4, hi4, ac2hi4, acd2hi4, ad3fhi4, af2hi4, ghi4, i5, ab2i5, abcdi5, d2i5, abfi5, adfi5, abd2fi5, ad3fi5, gi5, d2gi5, adfgi5, ahi5, cd2hi5, dfhi5, d3fhi5, aghi5, ai6, c2i6, ad2i6, c2d2i6, dfi6, d3fi6, agi6, ad2gi6, hi6, ac2hi6, acd2hi6, ad3fhi6, ghi6, aj, ab2cj, ac3j, ab2c3j, adj, c2dj, ad2j, ad3j, bej, abc2ej, ace2j, ab2fj, cdfj, df2j, agj, ab2cgj, adgj, c2dgj, ad2gj, abfgj, df2gj, ag2j, ab2cg2j, adg2j, c2dg2j, ad2g2j, abfg2j, df2g2j, ag3j, adg3j, ad2g3j, hj, bchj, b3chj, acd2hj, bfhj, ad2fhj, cghj, fghj, cg2hj, fg2hj, d2fg2hj, ah2j, abch2j, h3j, ij, ab2ij, ac2ij, ab2c2ij, abdij, acd2ij, abeij, bc2eij, af2ij, ad2f2ij, gij, ab2gij, ac2gij, abdgij, acd2gij, g2ij, ab2g2ij, abdg2ij, acd2g2ij, g3ij, ahij, b2hij, c2hij, bdhij, cd2hij, d3fhij, f2hij, b2ghij, c2ghij, cd2ghij, h2ij, ab2h2ij, ad2h2ij, ah3ij, ai2j, ab2ci2j, bdi2j, cd2i2j, ab2fi2j, dfi2j, d3fi2j, agi2j, bdgi2j, ag2i2j, hi2j, bchi2j, b3chi2j, acd2hi2j, ad2fhi2j, ah2i2j, i3j, ab2i3j, ac2i3j, abdi3j, acd2i3j, ad3fi3j, af2i3j, gi3j, acd2gi3j, ahi3j, b2hi3j, c2hi3j, bdhi3j, cd2hi3j, d3fhi3j, f2hi3j, h2i3j, ad2h2i3j, ai4j, ab2ci4j, bdi4j, cd2i4j, ab2fi4j, dfi4j, d2fi4j, d3fi4j, agi4j, hi4j, bchi4j, acd2hi4j, ad2fhi4j, i5j, ab2i5j, ac2i5j, abdi5j, acd2i5j, ad3fi5j, gi5j, acd2gi5j, ahi5j, c2hi5j, cd2hi5j, d3fhi5j, ai6j, cd2i6j, dfi6j, d2fi6j, d3fi6j, agi6j, hi6j, acd2hi6j, ad2fhi6j, aj2, b2j2, c2j2, adj2, bcdj2, ac3dj2, ad2j2, c2d2j2, ad3j2, cfj2, cd2fj2, f2j2, d2f2j2, agj2, b2gj2, c2gj2, adgj2, ad2gj2, ag2j2, b2g2j2, adg2j2, ad2g2j2, ag3j2, adg3j2, ad2g3j2, ab2hj2, ac2hj2, abdhj2, acd2hj2, ad3fhj2, af2hj2, d2h2j2, ij2, b2cij2, bcdij2, d2ij2, bfij2, gij2, bcgij2, d2gij2, cg2ij2, b2cg2ij2, fg2ij2, d2fg2ij2, d2g3ij2, fg3ij2, ahij2, abchij2, ab3chij2, cd2hij2, adfhij2, ch2ij2, ai2j2, b2i2j2, c2i2j2, cd2i2j2, d3fi2j2, f2i2j2, agi2j2, ab2hi2j2, ac2hi2j2, acd2hi2j2, ad3fhi2j2, af2hi2j2, ag2hi2j2, ad2g2hi2j2, i3j2, bci3j2, d2i3j2, cgi3j2, fgi3j2, d2fgi3j2, ahi3j2, adfhi3j2, ai4j2, b2i4j2, c2i4j2, c2d2i4j2, ac2hi4j2, ac2d2hi4j2, aghi4j2, ad2ghi4j2, i5j2, bci5j2, d2i5j2, cgi5j2, fgi5j2, d2fgi5j2, achi5j2, afhi5j2, ai6j2, c2i6j2, c2d2i6j2, ac2hi6j2, acd2hi6j2, aghi6j2, aj3, ab2cj3, ac3j3, adj3, c2dj3, ad2j3, ad3j3, abfj3, ab3fj3, cdfj3, df2j3, agj3, abcgj3, adgj3, c2dgj3, ad2gj3, hj3, bchj3, b3chj3, acd2hj3, cghj3, ij3, ab2ij3, ac2ij3, acd2ij3, af2ij3, ad2f2ij3, ag2ij3, c2hij3, cd2hij3, d3fhij3, ghij3, ai2j3, ad2i2j3, acgi2j3, acd2gi2j3, chi2j3, agi3j3, d2hi3j3, aci4j3, ad2i4j3, afi4j3, acgi4j3, acd2gi4j3, agi5j3, hi5j3, d2hi5j3, aci6j3, ad2i6j3, afi6j3, acgi6j3, ad2gi6j3, aj4, b2j4, c2j4, adj4, bcdj4, ad2j4, c2d2j4, ad3j4, cfj4, cd2fj4, f2j4, d2f2j4, b2gj4, c2gj4, adgj4, acd2hj4, ad3fhj4, ij4, b2cij4, d2ij4, bfij4, d2gij4, gi2j4, d2gi2j4, i4j4, gi4j4, d2gi4j4, i6j4, gi6j4, aj5, ab2cj5, adj5, c2dj5, ad2j5, abfj5, df2j5, agj5, adgj5, c2dgj5, ij5, ab2ij5, acd2ij5, aj6, b2j6, c2j6, adj6, ad2j6, adgj6, ij6, aj7, abcj7, adj7, c2dj7, b2j8, adj8}

Phi = 1 a 1 1 a b b a c 1 a c d e f g h i j

Monoid Structure

Idempotent  |G|  |Arch|
122
b2410
b2c2322852
d246
ae3 *888
b2g2836
g326
d2g3412
ab2gh848
b2h28110
gh2424
ah3426
g2i2418
d2g2i2836
b2i4850
i6412
d2i6836
b2g2j2161084
j8852
b2j8870