Details Page for 0.3517

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1878
P-Portion Size:   363
Tame?   No

MSV File: q-0.3517.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
6144
13287
146417
211878363

(Click on a heap to see details)

Details for Q21(0.3517):

Q = <a,b,c,d,e,f,g,h,i | a2=1, b3=b, b2c=c, c4=ac3, c3d2=c3, c2d3=c2d, cd4=cd2, d5=d3, b2e=e, c3e=ac3d, c2de=c3, d4e=d2e, cde2=c2e, d2e2=cd3e, c2e3=c2e, ce4=ce2, e5=e3, b2f=f, c2f=bc3, cdef=abcd3e, de3f=ce2f, d2f2=abd2f, def2=abdef, ce2f2=abce2f, f3=abf2, c2g=ac2d, cdg=acd2, d2g=ad3, ceg=acde, deg=ad2e, cfg=acd3f, df2g=abdfg, g2=d4, b2h=h, c2h=ac2e, cd2h=ac2d, deh=ade2, e2h=ae3, d3fh=acd2f, cgh=c2, d3h2=ac3d, d2fh2=abd2h2, dfgh2=abdgh2, cdf2h3=dgh2, dgh3=cdf2h2, h4=h2, c3i=ac3, c2i2=c2, d2i2=d2, cdei2=cde, cgi2=cg, e3f2gi2=ae3f2gi, cdf2h2i2=acdf2h2i, dgh2i2=adgh2i, f2gh2i2=af2gh2i, di3=di, ei3=ei, gi3=gi, i4=i2>

P = {a, b2, abc, c2, ac3, ad, b2d, abcd, ad2, b2d2, abcd2, c2d2, ad3, b2d3, abcd3, ad4, b2d4, abe, ce, abde, cde, abd2e, abd3e, cd3e, e2, abce2, c2e2, de2, abe3, ce3, abde3, e4, de4, abf, cf, abdf, cdf, abd2f, cd2f, abd3f, cd3f, abd4f, ef, abcef, def, d2ef, d3ef, abe2f, ce2f, abde2f, e3f, abce3f, abe4f, f2, abcf2, df2, abcdf2, abef2, cef2, e2f2, abe3f2, e4f2, g, ab2g, bcg, dg, ab2dg, beg, ae2g, be3g, ae4g, bfg, bdfg, aefg, be2fg, ae3fg, be4fg, af2g, bef2g, ae2f2g, be3f2g, ae4f2g, bh, ach, bdh, acdh, bd2h, bd3h, bd4h, aeh, bceh, afh, bcfh, adfh, bcdfh, ad2fh, befh, acefh, bf2h, acf2h, bdf2h, acdf2h, aef2h, bcef2h, abgh, abdgh, egh, fgh, dfgh, abefgh, abf2gh, ef2gh, h2, abch2, dh2, d2h2, abeh2, ceh2, abfh2, cfh2, abdfh2, efh2, abcefh2, f2h2, abcf2h2, df2h2, abef2h2, cef2h2, agh2, adgh2, begh2, bfgh2, aefgh2, af2gh2, bef2gh2, bh3, ach3, bdh3, acdh3, aeh3, bceh3, afh3, bcfh3, adfh3, bcdfh3, befh3, acefh3, bf2h3, acf2h3, bdf2h3, aef2h3, bcef2h3, abgh3, egh3, fgh3, abefgh3, abf2gh3, ef2gh3, ai, b2i, abci, adi, b2di, abcdi, ad2i, b2d2i, abcd2i, ad3i, b2d3i, abcd3i, ad4i, b2d4i, abei, abdei, abd2ei, abd3ei, e2i, abce2i, abe3i, abde3i, e4i, abfi, abdfi, cdfi, abd2fi, abd3fi, cd3fi, abd4fi, efi, d2efi, abe2fi, e3fi, abe4fi, f2i, df2i, abcdf2i, abef2i, e2f2i, abe3f2i, e4f2i, gi, ab2gi, bcgi, dgi, ab2dgi, begi, be3gi, bfgi, bdfgi, af2gi, abe3f2gi, bhi, achi, bdhi, bd2hi, bd3hi, bd4hi, aehi, bcehi, afhi, bcfhi, ad2fhi, befhi, bf2hi, acf2hi, aef2hi, abghi, abdghi, dfghi, h2i, abch2i, dh2i, abeh2i, abfh2i, abdfh2i, efh2i, f2h2i, df2h2i, abef2h2i, agh2i, begh2i, bfgh2i, af2gh2i, bh3i, ach3i, bdh3i, aeh3i, bceh3i, afh3i, bcfh3i, befh3i, bf2h3i, acf2h3i, aef2h3i, abgh3i, bf2gh3i, ai2, b2i2, abci2, adi2, b2di2, abcdi2, abei2, abdei2, e2i2, abce2i2, abe3i2, abde3i2, e4i2, abfi2, cfi2, abdfi2, cdfi2, efi2, defi2, abe2fi2, ce2fi2, e3fi2, abe4fi2, f2i2, abcf2i2, df2i2, abcdf2i2, abef2i2, e2f2i2, e4f2i2, gi2, ab2gi2, dgi2, ab2dgi2, begi2, be3gi2, bfgi2, bdfgi2, aefgi2, ae3fgi2, af2gi2, bef2gi2, bhi2, bdhi2, acdhi2, aehi2, bcehi2, afhi2, adfhi2, bcdfhi2, befhi2, acefhi2, bf2hi2, bdf2hi2, acdf2hi2, aef2hi2, bcef2hi2, abghi2, abdghi2, fghi2, dfghi2, abf2ghi2, h2i2, abch2i2, abeh2i2, abfh2i2, cfh2i2, efh2i2, f2h2i2, abcf2h2i2, abef2h2i2, gh2i2, abfgh2i2, bh3i2, bdh3i2, acdh3i2, aeh3i2, bceh3i2, afh3i2, adfh3i2, bcdfh3i2, befh3i2, acefh3i2, cf2h3i2, bdf2h3i2, aef2h3i2, abgh3i2, fgh3i2, ai3, b2i3, abci3, abfi3, f2i3, bhi3, achi3, afhi3, bcfhi3, bf2hi3, acf2hi3, abch2i3, bcf2h2i3, bh3i3, ach3i3, afh3i3, bcfh3i3, bf2h3i3, acf2h3i3}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
ac3 *81252
d4830
b2d41660
e4828
abd4f1684
f248
e4f2856
h2812
f2h2824
i246
b2i2812
e4i21656
f2i2824
e4f2i216112
h2i21636
f2h2i21672