Details Page for 0.1046

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1784
P-Portion Size:   186
Tame?   No

MSV File: q-0.1046.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
9102
23123
25164
296210
3310414
3611014
3764867
391360134
411784186

(Click on a heap to see details)

Details for Q41(0.1046):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b3=b, b2c=c, c4=c2, c2d2=b2d2, bd3=bcd2, cd3=b2d2, d4=d2, be=bd, ce=cd, d3e=de, e2=b2d2, c3f=cf, ef=b2df, b2f2=f2, c2f2=f2, df2=cf2, f3=af2, f2g=acf2, b2g2=g2, d2g2=b2d2, eg2=dg2, g4=g2, ch=b2d2, bdh=bd2, d3h=dh, d2eh=eh, fh=cd2f, b2gh=gh, dgh=b2d2g, egh=b2d2g, g2h=b2h, h2=b2d2, dei=b2d2i, b2gi=gi, d3gi=cd2gi, egi=dgi, cdfg2i=b2d2fi, b2hi=hi, dhi=b2d2i, ehi=b2d2i, b2i2=i2, c3i2=ci2, c2di2=di2, d2i2=cdi2, ei2=di2, c2fi2=fi2, dfi2=cfi2, g2i2=i2, hi2=di2, c2i3=i3, di3=ci3, f2i3=f2i, fi6=fi4, i8=i6, b2j=j, c2j=j, dj=cj, ej=cj, f2j=bf2, g2j=j, hj=cj, i4j3=i2j3, j4=bj3, b2k=k, c3k=ck, dk=ck, ek=ck, c2fk=fk, g2k=k, hk=ck, ik=bhi, c2k2=k2, k4=k2>

P = {a, b2, c2, d, cd, c3d, ad2, b2d2, d3, ade, abf, abcf, abc2f, ab2d2f, f2, ag, ab2g, acg, ac3g, ac2dg, ad2g, acd2g, bfg, bcfg, bc2fg, cd2fg, g2, c2g2, cdg2, c3dg2, abfg2, abcfg2, abc2fg2, ag3, acg3, ac3g3, ac2dg3, bfg3, bcfg3, bc2fg3, b2di, abc3di, cfi, adfi, ab2dfi, ac2dfi, ad3fi, bc2dgi, fgi, c2fgi, cdfgi, dg2i, abc3dg2i, acfg2i, ac2fg2i, adfg2i, bc2dg3i, fg3i, cfg3i, c2fg3i, hi, aghi, i2, c2i2, cdi2, abcfi2, f2i2, agi2, acdgi2, bfgi2, abi3, cfi3, afgi3, i4, abcfi4, acgi4, bfgi4, abi5, cfi5, bcgi5, afgi5, i6, acgi6, abi7, bcgi7, bj, abfj, abcgj, bcfgj, bi2j, afi2j, abgi2j, fgi2j, abcgi3j, bi4j, afi4j, abgi4j, fgi4j, abfgi5j, bi6j, abcgi6j, cgi7j, j2, afj2, acgj2, cfgj2, i2j2, abfi2j2, agi2j2, bfgi2j2, ci3j2, abcfi3j2, acgi3j2, bcfgi3j2, i4j2, abfi4j2, agi4j2, bfgi4j2, ci5j2, abcfi5j2, acgi5j2, i6j2, agi6j2, bj3, abfj3, abcgj3, bcfgj3, bi2j3, afi2j3, abgi2j3, fgi2j3, bci3j3, acfi3j3, abcgi3j3, cfgi3j3, bck, abcfk, bcf2k, abc2gk, bfgk, cjk, acfjk, agjk, fgjk, bcj2k, abcfj2k, abgj2k, bfgj2k, cj3k, acfj3k, agj3k, fgj3k, k2, afk2, f2k2, acgk2, cfgk2, bjk2, abfjk2, abcgjk2, bcfgjk2, j2k2, afj2k2, acgj2k2, cfgj2k2, bj3k2, abfj3k2, abcgj3k2, bcfgj3k2, ak3, fk3, af2k3, cgk3, acfgk3, abjk3, bfjk3, bcgjk3, abcfgjk3, aj2k3, fj2k3, cgj2k3, acfgj2k3, abj3k3, bfj3k3, bcgj3k3, abcfgj3k3}

Phi = 1 a 1 1 1 b b b b bd a a a ab2 ab ab ab b bd bd bd bh c d d e b ab ab f ab2 ab2 ab2 g b2d b2h h i bc j bh k

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2812
d246
b2d216116
f28184
g2814
c2g21636
f2i2 *16392
i632282
bj31648
bi2j332272
k23256
f2k216216
bj3k232144