Details Page for 0.1517

Complete Solution is Known:

MSV File: q-0.1517.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₉(0.1517):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b¹⁴=b¹², bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=ab¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=ab¹³, g²=b¹², b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹², gh=ab¹³, h²=b¹², b⁵i=ab⁴h, ci=ab²i, di=ab⁴i, ei=ab⁴h, fi=ab¹³, gi=b¹², hi=ab¹³, i²=b¹², b⁴j=ab³i, cj=ab²j, dj=b³i, ej=ab⁴i, fj=ab⁴h, gj=ab¹³, hj=b¹², ij=ab¹³, j²=b¹², b³k=ab²j, ck=ab²k, dk=b³j, ek=b³i, fk=ab⁴i, gk=ab⁴h, hk=ab¹³, ik=b¹², jk=ab¹³, k²=b¹², b²l=abk, cl=bk, dl=ab²j, el=b³j, fl=b³i, gl=ab⁴i, hl=ab⁴h, il=ab¹³, jl=b¹², kl=ab¹³, l²=b¹², bm=al, cm=bl, dm=ab²k, em=ab²j, fm=b³j, gm=b³i, hm=ab⁴i, im=ab⁴h, jm=ab¹³, km=b¹², lm=ab¹³, m²=b¹², bn=am, cn=al, dn=bk, en=ab²k, fn=ab²j, gn=b³j, hn=b³i, in=ab⁴i, jn=ab⁴h, kn=ab¹³, ln=b¹², mn=ab¹³, n²=b¹², bo=an, co=am, do=bl, eo=bk, fo=ab²k, go=ab²j, ho=b³j, io=b³i, jo=ab⁴i, ko=ab⁴h, lo=ab¹³, mo=b¹², no=ab¹³, o²=b¹²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, ak, ab²k, bl, am, ao}

Phi = 1 a a a a b b b b a a a c b b b b³ c c c d b³ b³ b³ b⁵ d d ab⁴ ab⁶ e e b⁵ b⁷ f f ab⁶ ab⁸ g g b⁷ b⁹ h h ab⁸ ab¹⁰ i i b⁹ b¹¹ j j ab¹⁰ ab¹² k k b¹¹ b¹³ l l ab¹² ab¹² m m b¹³ b¹³ n n ab¹² ab¹² o o b¹³ b¹³

Monoid Structure