Details Page for 0.3735

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   650
P-Portion Size:   54
Tame?   No

MSV File: q-0.3735.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
4102
6184
9388
107812
148613
1511817
1621425
1965054

(Click on a heap to see details)

Details for Q19(0.3735):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b3=b, bc2=b, c3=c, bd=b, cd=c, d2=d, be=ab, c2e=e, de=e, e2=b2, b2cf=cf, c2f=b2f, df=f, ef=ab2f, b2f2=f2, f5=cf4, c2g=g, dg=g, b2fg=fg, f3g=acf3, b2g2=g2, eg2=ag2, f2g3=f2g, g4=g2, bh=bc, c2h=h, dh=h, fh=cf, gh=b2cg, h2=b2, c2i=i, di=i, b2fi=fi, f3i=af4, egi=ab2gi, f2gi=cf3, g3i=acg2i, ehi=ab2ci, b2i2=i2, ei2=ai2, f2i2=f4, gi2=acf4, hi2=ci2, i3=acf4, c2j=j, dj=j, ej=ab2j, b2fj=fj, f4j=bcf4, b2gij=gij, hij=b2cij, b2j2=j2, fj2=b2f, gj2=b2g, hj2=cj2, ij2=b2i, j3=b2j, c2k=k, dk=k, b2fk=fk, f3k=f4, b2gk=gk, egk=agk, f2gk=acf3, g2k=ag2i, hk=b2ck, b2ik=ik, eik=aik, fgik=af2ik, fi2k=af2ik, b2k2=k2, ek2=ak2, f2k2=f4, gk2=cf2ik, ik2=ai2k, fk3=f4, j2k3=bcjk3, k4=f4>

P = {a, b2, c2, d, ace, f, bcf, f2, cf3, f4, cg, b2cg, bfg, g2, bcfg2, f2g2, cg3, bfg3, ch, ai, cei, acf2i, acgi, achi, i2, cfi2, ab2j, abcfj, af2j, ab2cgj, abfgj, acf2gj, ag2j, abcfg2j, af2g2j, acg3j, abfg3j, cij, bci2j, bfi2j, j2, acek, cf2k, ik, af2ik, cgik, acjk, aijk, acfijk, k2, cfk2, acjk2, j2k2, bck3}

Phi = 1 a b ab c d e b ab f g ab2 b ab h i j bcf abj2 k

Monoid Structure

Idempotent  |G|  |Arch|
122
b2820
c244
d22
f4 *8538
g23260
j21624