Details Page for 0.7142

Complete Solution is Known:

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

MSV File: q-0.7142.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 Q36(0.7142):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | 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, b2j=j, cj=aj, dj=j, e2j=j, fj=aej, gj=ej, hj=aej, ij=j, j2=b2, bk=be, ck=ab2e, dk=k, e3k=ek, fk=ab2, gk=cef, hk=acef, ik=b2e, jk=ej, k2=b2, bl=be, ce2l=cg, fl=cel, gl=b2, ehl=egh, il=b2e, jl=ej, kl=chl, l2=b2>

P = {a, b2, ad, ae, ce, ae2, ae3, ce3, aeg, eh, gh, aei, l, acel, ae3l, ahl, chl}

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 j cef egh k bej l ab

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *1686
d22
e246