Details Page for 0.7541

Complete Solution is Known:

MSV File: q-0.7541.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₅(0.7541):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b¹⁹=b¹⁷, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², b²f=b⁹, cf=ab⁹, df=ab¹¹, ef=ab¹³, f²=b¹⁴, b³g=ab¹¹, cg=ab²g, dg=b¹², eg=b¹⁴, fg=ab¹⁵, g²=b¹⁶, b⁴h=b¹³, ch=ab²h, dh=ab¹³, eh=ab¹⁵, fh=b¹⁶, gh=ab¹⁷, h²=b¹⁸, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁶, fi=ab¹⁷, gi=b¹⁸, hi=ab¹⁷, i²=b¹⁸, b⁶j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=ab¹⁷, fj=b¹⁸, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁷, j²=b¹⁸, b⁷k=ab¹⁷, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=ab¹⁷, gk=b¹⁸, hk=ab¹⁷, ik=b¹⁸, jk=ab¹⁷, k²=b¹⁸, b⁶l=ab⁵k, cl=ab²l, dl=ab⁴l, el=b⁵k, fl=ab⁶k, gl=ab¹⁷, hl=b¹⁸, il=ab¹⁷, jl=b¹⁸, kl=ab¹⁷, l²=b¹⁸, b⁵m=ab⁴l, cm=ab²m, dm=ab⁴m, em=b⁵l, fm=b⁵k, gm=ab⁶k, hm=ab¹⁷, im=b¹⁸, jm=ab¹⁷, km=b¹⁸, lm=ab¹⁷, m²=b¹⁸, b⁴n=ab³m, cn=ab²n, dn=b³m, en=ab⁴l, fn=b⁵l, gn=b⁵k, hn=ab⁶k, in=ab¹⁷, jn=b¹⁸, kn=ab¹⁷, ln=b¹⁸, mn=ab¹⁷, n²=b¹⁸, b³o=ab²n, co=ab²o, do=b³n, eo=ab⁴m, fo=ab⁴l, go=b⁵l, ho=b⁵k, io=ab⁶k, jo=ab¹⁷, ko=b¹⁸, lo=ab¹⁷, mo=b¹⁸, no=ab¹⁷, o²=b¹⁸, b²p=abo, cp=bo, dp=ab²n, ep=b³m, fp=ab⁴m, gp=ab⁴l, hp=b⁵l, ip=b⁵k, jp=ab⁶k, kp=ab¹⁷, lp=b¹⁸, mp=ab¹⁷, np=b¹⁸, op=ab¹⁷, p²=b¹⁸, bq=ap, cq=bp, dq=ab²o, eq=b³n, fq=b³m, gq=ab⁴m, hq=ab⁴l, iq=b⁵l, jq=b⁵k, kq=ab⁶k, lq=ab¹⁷, mq=b¹⁸, nq=ab¹⁷, oq=b¹⁸, pq=ab¹⁷, q²=b¹⁸, br=aq, cr=ap, dr=bo, er=ab²n, fr=b³n, gr=b³m, hr=ab⁴m, ir=ab⁴l, jr=b⁵l, kr=b⁵k, lr=ab⁶k, mr=ab¹⁷, nr=b¹⁸, or=ab¹⁷, pr=b¹⁸, qr=ab¹⁷, r²=b¹⁸, bs=ar, cs=aq, ds=bp, es=ab²o, fs=ab²n, gs=b³n, hs=b³m, is=ab⁴m, js=ab⁴l, ks=b⁵l, ls=b⁵k, ms=ab⁶k, ns=ab¹⁷, os=b¹⁸, ps=ab¹⁷, qs=b¹⁸, rs=ab¹⁷, s²=b¹⁸, bt=as, ct=ar, dt=ap, et=bo, ft=ab²o, gt=ab²n, ht=b³n, it=b³m, jt=ab⁴m, kt=ab⁴l, lt=b⁵l, mt=b⁵k, nt=ab⁶k, ot=ab¹⁷, pt=b¹⁸, qt=ab¹⁷, rt=b¹⁸, st=ab¹⁷, t²=b¹⁸, bu=at, cu=as, du=aq, eu=bp, fu=bo, gu=ab²o, hu=ab²n, iu=b³n, ju=b³m, ku=ab⁴m, lu=ab⁴l, mu=b⁵l, nu=b⁵k, ou=ab⁶k, pu=ab¹⁷, qu=b¹⁸, ru=ab¹⁷, su=b¹⁸, tu=ab¹⁷, u²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, af, bg, ah, ab²h, bi, b³i, aj, ab²j, ab⁴j, bk, b³k, b⁵k, al, ab²l, ab⁴l, bm, b³m, an, ab²n, bo, ap, ar, at}

Phi = 1 a b a b c b³ d b⁵ e f g h i j k l m n o p q r s t u

Monoid Structure