Details Page for 0.7247

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2454
P-Portion Size:   54
Tame?   No

MSV File: q-0.7247.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
5102
8163
14325
166410
1711216
2012416
2117626
2325236
2426837
2528039
3128440
3330040
3731842
4033443
4235044
4539848
5441450
5543052
8543854
8847054
19453454
41466254
91691854
1968143054
4286245454

(Click on a heap to see details)

Details for Q40(0.7247):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a2=1, b4=b2, b3c=bc, c2=b2, bd=abc, d3=d, b3e=be, be2=b3, e3=e, bf=abc, cf2=cdf, df3=d2f2, f4=f2, bg=abe, e2g=g, dfg=ab2e, f2g=ab2e, g2=aeg, bh=ab3, ch=ab2c, dh=acd2eg, e2h=h, f3h=fh, gh=cdg, h2=b2, b2i=bce, bci=b2e, cd2i=ci, ei=bc, cfi=cdi, d2fi=fi, f2i=dfi, gi=abc, hi=abce, bi2=b, fi2=di2, ci3=ci, di3=fi, i4=i2, bj=abc, cfj=cdj, defj=d2ej, df2j=d2fj, f3j=fj, gj=fg, f2hj=hj, d2ij=ij, fij=dij, i3j=ij, j2=b2, bk=abe, cd2k=ck, e2k=k, cfk=cdk, dfk=d2k, f2k=d2k, gk=b2, fhk=ab2ce, ik=abc, jk=b2ce, k2=b2, bl=be, cl=b2ce, d2l=l, el=b2, fl=ab2ce, gl=ab2, hl=ab2e, il=bc, jl=ab2ce, kl=ab2, l2=b2, b2m=ab2ce, cm=ab2e, dm=b2e, em=ab2c, fm=b2e, gm=b2c, hm=b2ce, i2m=m, jm=b2e, km=b2c, lm=ab2c, m2=b2, b3n=bn, b2cn=cn, dn=acn, e2n=n, cfn=ab2n, f2n=n, gn=ab2en, hn=ab2n, in=bcen, cjn=ab2n, kn=ab2en, ln=b2en, mn=acen, n2=b2>

P = {a, b2, d, ad2, ace, de, acd2e, ae2, de2, ad2e2, af, acdef, ae2f, f2, d2f2, e2f2, d2e2f2, af3, ae2f3, eg, adeg, d2eg, efg, aci, di, i2, d2i2, aj, acdej, ae2j, de2j, fj, d2fj, e2fj, af2j, ae2f2j, di2j, aek, ad2ek, efk, adl, aim, ajn}

Phi = 1 a 1 b ab bc abc c d ab2 b3 ab3 bc abc e b2c f g ab3 b3 h i b2c j ad2k k cdij ij ab3 b3 ab2 l bc b2n abe ab3 b3 m b2ce ab2e n bc

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *32244
d244
e244
d2e288
f246
d2f248
e2f2812
d2e2f2816
aeg44
ad2eg88
i246
d2i2812