Details Page for 0.0045

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   576
P-Portion Size:   66
Tame?   No

MSV File: q-0.0045.msv

Growth Pattern:

Heap   Q-Size   P-Size
421
862
19123
22285
33326
347414
4110617
4416225
4518834
4719635
4835647
5136047
5657666

(Click on a heap to see details)

Details for Q51(0.0045):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b3=b, bc2=b, c3=c, bd=ab, c2d=d, d3=ad2, d2e=b2e, de2=ab2e2, be3=bce2, ce3=b2e2, e6=e4, b2f=f, c2f=f, df=af, e2f=cef, ef2=cf2, f3=bcf2, c2g=g, d2g=b2g, e2g=b2ceg, f2g=cf2, b2g2=g2, dg2=ag2, g3=cf2, d2h=b2h, beh=be2, ceh=ce2, deh=ab2e2, e4h=b2ce2, fh=ef, gh=eg, bh2=be2, dh2=ac2e2, eh2=e2h, ch3=b2e2, h4=b2e2, bi=bh, c2i=i, d2i=b2h, ei=b2e2, fi=ef, gi=adeg, hi=b2e2, i2=b2e2, b2j=j, c2j=j, dj=aj, e3j=ce2j, f2j=af2, g2j=ag2, ehj=e2j, h2j=e2j, ij=hj, hj2=ce2j2, j3=aj2, bk=ab, c2k=k, dk=ak, ek=ab2e, fk=af, gk=ab2g, hk=ab2h, ik=ab2h, jk=aj, k2=b2>

P = {a, b2, ac, ac2, d, ad2, e, ab2ce, c2e, cde, b2e2, ace2, e3, e5, bcf, abef, f2, cg, ab2cg, aeg, b2eg, abfg, abcefg, bg2, abceg2, cfg2, h, ch, ab2ch, c2h, e2h, ah2, ach2, ac2h2, h3, ci, aj, ae2j, abcfj, aegj, j2, e2j2, bcfj2, cgj2, egj2, bfgj2, bcefgj2}

Phi = 1 1 1 1 a a a a b b b b ab ab ab a a a a c c c cg2 ab ab ab b b b b ab2 ab2 ab2 d e e e b b b b f f f g h h i j ab2 ab2 k b b b b

Monoid Structure

Idempotent  |G|  |Arch|
122
b2812
c244
d248
b2e2868
e4410
f2 *8200
j2816
e2j2840