Details Page for 0.5165

Complete Solution is Known:

MSV File: q-0.5165.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₃(0.5165):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v | a²=1, b²¹=b¹⁹, 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=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁶k, gk=b⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab¹⁹, k²=b²⁰, b⁹l=ab¹⁹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁶l, gl=b⁷l, hl=ab⁸l, il=ab¹⁹, jl=b²⁰, kl=ab¹⁹, l²=b²⁰, b⁸m=ab⁷l, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁶m, gm=b⁷m, hm=b⁷l, im=ab⁸l, jm=ab¹⁹, km=b²⁰, lm=ab¹⁹, m²=b²⁰, b⁷n=ab⁶m, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=ab⁶n, gn=ab⁶m, hn=b⁷m, in=b⁷l, jn=ab⁸l, kn=ab¹⁹, ln=b²⁰, mn=ab¹⁹, n²=b²⁰, b⁶o=ab⁵n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=b⁵n, go=ab⁶n, ho=ab⁶m, io=b⁷m, jo=b⁷l, ko=ab⁸l, lo=ab¹⁹, mo=b²⁰, no=ab¹⁹, o²=b²⁰, b⁵p=ab⁴o, cp=ab²p, dp=ab⁴p, ep=ab⁴o, fp=b⁵o, gp=b⁵n, hp=ab⁶n, ip=ab⁶m, jp=b⁷m, kp=b⁷l, lp=ab⁸l, mp=ab¹⁹, np=b²⁰, op=ab¹⁹, p²=b²⁰, b⁴q=ab³p, cq=ab²q, dq=b³p, eq=ab⁴p, fq=ab⁴o, gq=b⁵o, hq=b⁵n, iq=ab⁶n, jq=ab⁶m, kq=b⁷m, lq=b⁷l, mq=ab⁸l, nq=ab¹⁹, oq=b²⁰, pq=ab¹⁹, q²=b²⁰, b³r=ab²q, cr=ab²r, dr=b³q, er=b³p, fr=ab⁴p, gr=ab⁴o, hr=b⁵o, ir=b⁵n, jr=ab⁶n, kr=ab⁶m, lr=b⁷m, mr=b⁷l, nr=ab⁸l, or=ab¹⁹, pr=b²⁰, qr=ab¹⁹, r²=b²⁰, b²s=abr, cs=br, ds=ab²q, es=b³q, fs=b³p, gs=ab⁴p, hs=ab⁴o, is=b⁵o, js=b⁵n, ks=ab⁶n, ls=ab⁶m, ms=b⁷m, ns=b⁷l, os=ab⁸l, ps=ab¹⁹, qs=b²⁰, rs=ab¹⁹, s²=b²⁰, bt=as, ct=bs, dt=ab²r, et=ab²q, ft=b³q, gt=b³p, ht=ab⁴p, it=ab⁴o, jt=b⁵o, kt=b⁵n, lt=ab⁶n, mt=ab⁶m, nt=b⁷m, ot=b⁷l, pt=ab⁸l, qt=ab¹⁹, rt=b²⁰, st=ab¹⁹, t²=b²⁰, bu=at, cu=as, du=br, eu=ab²r, fu=ab²q, gu=b³q, hu=b³p, iu=ab⁴p, ju=ab⁴o, ku=b⁵o, lu=b⁵n, mu=ab⁶n, nu=ab⁶m, ou=b⁷m, pu=b⁷l, qu=ab⁸l, ru=ab¹⁹, su=b²⁰, tu=ab¹⁹, u²=b²⁰, bv=au, cv=at, dv=bs, ev=br, fv=ab²r, gv=ab²q, hv=b³q, iv=b³p, jv=ab⁴p, kv=ab⁴o, lv=b⁵o, mv=b⁵n, nv=ab⁶n, ov=ab⁶m, pv=b⁷m, qv=b⁷l, rv=ab⁸l, sv=ab¹⁹, tv=b²⁰, uv=ab¹⁹, v²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, ab⁶k, bl, b³l, b⁵l, b⁷l, am, ab²m, ab⁴m, ab⁶m, bn, b³n, b⁵n, ao, ab²o, ab⁴o, bp, b³p, aq, ab²q, br, as, au}

Phi = 1 a a a b b b a a c b b b³ c c d b³ b³ b⁵ d d ab⁶ e e b⁷ f f ab⁸ g g b⁹ h h ab¹⁰ i i b¹¹ j j ab¹² k k b¹³ l l ab¹⁴ m m b¹⁵ n n ab¹⁶ o o b¹⁷ p p ab¹⁸ q q b¹⁹ r r ab²⁰ s s b¹⁹ t t ab²⁰ u u b¹⁹ v v ab²⁰

Monoid Structure