Details Page for 0.3105

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2870
P-Portion Size:   492
Tame?   No

MSV File: q-0.3105.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
4144
8389
97017
117819
1213832
1321046
1433072
15490105
16650128
171502276
181862329
192870492

(Click on a heap to see details)

Details for Q15(0.3105):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a2=1, b3=b, b2c=c, c4=c3, b2d=d, c3d=c2d, cd2=d2, d3=ad2, b2e=e, c3e=bc3, c2de=bc2d, d2e=bd2, ce2=c, e3=e, b2f=f, c2df=cdf, d2f=ad2, cdef=bcdf, e2f=f, c2f2=d2, df2=ad2, f3=acf2, b2g=g, cg=bc3, dg=bc2d, e2g=g, f2g=bd2, g2=c3, b2h=h, ch=bc2d, dh=bd2, eh=cd, fh=bcdf, gh=c2d, h2=d2, b2i=i, ci=bd2, d2i=bd2, f2i=cef2, gi=d2, di2=hi, ei2=bd2, fi2=ad2, hi2=bhi, i3=bi2, b2j=j, c3j=c2j, c2dj=cdj, d2j=d2, c2ej=bc2j, cdej=bcdj, e2j=j, f2j=cf2, gj=bc2j, hj=bcdj, ij=bd2, cj2=d2, dfj2=bdfi, j3=d2, b2k=k, c3k=ad2, dk=d2, cf2k=adefi, fgk=dfi, hk=bd2, fik=agk, i2k=hi, cjk=c2k, j2k=bdej2, k2=d2, b2l=l, c3l=c3, dl=c2d, e2l=l, c2fl=bfg, f2l=d2, gl=bc3, hl=bc2d, il=bd2, c2jl=c2j, j2l=d2, c2kl=dj2, l2=bc2el>

P = {a, b2, c, c2, c3, bd, acd, ac2d, d2, be, bce, bc2e, ade, e2, bde2, f, acf, ac2f, ac3f, bdf, bcdf, aef, bcef, abc2ef, def, f2, cf2, bef2, bcef2, bg, eg, abfg, aefg, h, bi, di, ei, adei, be2i, bfi, aefi, defi, bhi, i2, j, cj, c2j, adj, acdj, bej, bcej, afj, acfj, ac2fj, bdfj, abcefj, j2, adj2, bej2, abdej2, afj2, abefj2, bk, ack, ac2k, aek, abc2ek, be2k, fk, c2fk, aefk, cefk, bf2k, aef2k, abgk, ik, aeik, ajk, efjk, l, cl, c2l, bel, bcel, bc2el, afl, acfl, abefl, abcefl, jl, cjl, bejl, bcejl, afjl, acfjl, abefjl, abcefjl, akl, ackl, abcekl, bfkl, bcfkl, efkl, ajkl, abejkl}

Phi = 1 a b c d d2 d b2 e f g h i j k l

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c3452
d2 *4416
e288
i248