Details Page for 0.7712

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2336
P-Portion Size:   162
Tame?   No

MSV File: q-0.7712.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5123
20245
24328
306410
3414415
4115215
4434441
511576114
522336162

(Click on a heap to see details)

Details for Q52(0.7712):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b3=b, bc2=b, c3=c, bd2=b, cd2=c, d3=d, be=abc, ce=ab2, e2=b2, b2f=f, c2f=f, d2f=f, ef=acf, f3=df2, b2g=g, c2g=g, d2g=g, eg=acg, f2g=bcdf2, fg3=fg, g4=g2, bh=bc, ch=b2, fh=cf, gh=cg, h2=b2, f2i=df2, fi3=dfi2, bi4=bdi3, ci4=cdi3, di4=d2i3, gi4=dgi3, i5=i3, b2j=j, c2j=j, d2j=j, ej=acj, f2j=bf2, hj=cj, i4j=di3j, fg2i2j2=bcdfgi2j2, fj3=bfj2, g3i3j3=bcdg2i3j3, j4=bj3, c2k=k, d2k=k, ek=ab2ck, f2k=df2, hk=b2ck, fik=dfi, bi2k=bi3, gi2k=gi3, i3k=di2k, i2jk=i3j, fj2k=dfj2, b2k2=k2, fk2=dfk, ik2=b2dik, j2k2=dj2k, k3=dk2>

P = {a, b2, ac, ac2, d, cd, c2d, ad2, ae, ad2e, bdf, f2, abdg, afg, g2, adfg2, dg3, i, c2i, adi, b2di, acdi, ac2di, d2i, adei, bfi, abgi, adfgi, bfg2i, abg3i, aehi, ai2, b2i2, aci2, ac2i2, di2, c2di2, ad2i2, aei2, ad2ei2, bdfi2, abdgi2, afgi2, g2i2, bdfg2i2, abdg3i2, i3, c2i3, adi3, b2di3, acdi3, ac2di3, d2i3, adei3, abgi3, dg2i3, abg3i3, aehi3, ai4, aei4, bcj, cdfj, acdgj, abfgj, bg2j, abdfg2j, bdg3j, bcdij, cfij, acgij, abdfgij, bci2j, cdfi2j, acdgi2j, abfgi2j, bcg2i2j, acdg3i2j, bcdi3j, acgi3j, bcdg2i3j, acg3i3j, j2, bcdfj2, abcdgj2, afgj2, g2j2, adfg2j2, dg3j2, dij2, bcfij2, abcgij2, adfgij2, ag3ij2, i2j2, bcdfi2j2, abcdgi2j2, afgi2j2, g2i2j2, di3j2, abcgi3j2, dg2i3j2, bj3, acdgj3, bg2j3, bdg3j3, bdij3, acgij3, abg3ij3, bi2j3, acdgi2j3, bg2i2j3, bdi3j3, acgi3j3, bdg2i3j3, adk, b2dk, acdk, bfk, abgk, adfgk, dg2k, bfg2k, abg3k, aik, b2ik, acik, abdgik, g2ik, abdg3ik, adi2k, acdi2k, bcdjk, cfjk, acgjk, abdfgjk, acg3jk, bcijk, acdgijk, bcg2ijk, acdg3ijk, dj2k, abcgj2k, dg2j2k, abcg3j2k, ij2k, abcdgij2k, abcdg3ij2k, bdj3k, acgj3k, bdg2j3k, acg3j3k, bij3k, acdgij3k, acdg3ij3k, k2, abdgk2, g2k2, abdg3k2, bcjk2, acdgjk2, bcg2jk2, acdg3jk2}

Phi = 1 a b ab a c ab b c ac b ab ac ab2 ab b c ac bc ab d ad abc b e ae bc ab b2c e f b ab2 ae g bc ae ab2 b abc ab2 h ab bc i ab2c b ab ab2 b2c ab j k ab2c b

Monoid Structure

Idempotent  |G|  |Arch|
122
b21634
c288
d244
f2 *16528
g23248
di3412
b2di316140
c2di3824
dg2i332192
i448
bj31648
bg2j332144
bdi3j316192
bdg2i3j316560
bdj3k1664
bdg2j3k32192
k21640
g2k23296