Details Page for 0.055

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   746
P-Portion Size:   75
Tame?   No

MSV File: q-0.055.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
562
12123
13285
20326
227414
2610617
2716225
2820230
2921031
3045049
3145449
3245849
3674675

(Click on a heap to see details)

Details for Q32(0.055):

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, e5=e3, 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, c2h=h, d2h=b2h, b2eh=eh, deh=aeh, e2h=ceh, f2h=cf2, gh=g2, b2h2=h2, dh2=ah2, eh2=ch2, h3=cf2, c2i=i, d2i=b2i, ei=b2e2, fi=ef, gi=adeg, hi=eh, i2=b2e2, c2j=j, dj=aj, b2ej=ej, e3j=ce2j, f2j=af2, b2gj=gj, g2j=ag2, b2hj=hj, h2j=af2, b2ij=ij, b2j2=j2, ij2=ce2j2, j3=aj2, bk=ab, c2k=k, dk=ak, ek=ab2e, fk=af, gk=ab2g, hk=ab2h, ik=ab2i, jk=ab2j, k2=b2>

P = {a, b2, ac, ac2, d, ad2, e, ab2ce, c2e, cde, b2e2, ace2, e3, bcf, abef, f2, cg, ab2cg, aeg, b2eg, abfg, abcefg, bg2, abceg2, cfg2, ch, ab2ch, eh, abfh, abcefh, h2, ci, ab2ci, ab2j, ae2j, abcfj, aegj, aehj, j2, e2j2, bcfj2, cgj2, egj2, bfgj2, bcefgj2, chj2, ehj2, bfhj2, bcefhj2}

Phi = 1 1 a a a b b b ab a a a c cg2 cg2 ab b b b ab2 d d e b b b f g h i b2j j k b b b

Monoid Structure

Idempotent  |G|  |Arch|
122
b2812
c244
d248
b2e2844
e448
f2 *8320
j2820
e2j2840