Details Page for 0.7152

Complete Solution is Known:

Period:   70
Preperiod:   63
Quotient Size:   108
P-Portion Size:   19
Tame?   No

MSV File: q-0.7152.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
7102
11122
14164
19244
22285
25447
30488
31568
34608
369617
3810018
4110619
4610819

(Click on a heap to see details)

Details for Q41(0.7152):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a2=1, b3=b, bc=ab, c2=b2, bd=b, cd=c, d2=d, de=e, be2=b, e4=e2, bf=abe, df=f, ce2f=cf, e3f=ef, f2=b2, bg=be, dg=g, e2g=g, fg=ceg, g2=b2, bh=abe, dh=h, e3h=eh, fh=ceh, cgh=cef, h2=b2, bi=b, ci=ab2, di=i, e2i=i, fi=acf, gi=cf, hi=acf, i2=b2, bj=be, cj=ab2e, dj=j, e3j=ej, fj=ab2, gj=cef, hj=acef, ij=b2e, j2=b2, bk=be, ce2k=cg, fk=cek, gk=b2, ehk=egh, ik=b2e, jk=chk, k2=b2, cl=ab2l, dl=l, b2el=el, e2l=b2l, fl=ael, gl=el, ehl=ab2l, il=b2l, jl=el, kl=el, l2=b2, bm=abe, cm=cf, dm=m, e3m=em, fm=cef, gm=ab2, hm=chk, im=ab2e, jm=ab2, km=ab2, lm=ael, m2=b2>

P = {a, b2, ad, ae, ce, ae2, ae3, ce3, aeg, eh, gh, aei, k, acek, ae3k, ahk, chk, ahl, em}

Phi = 1 a be a 1 be 1 b be a b c d abe e ab be c b f ace abe g ab abe h ab f acg ab i ab2l cef egh j abel k ab l acf ab m abe ab b2e abe

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *1696
d22
e246