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 Q₂₇(0.7541):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a²=1, b²¹=b¹⁹, 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=ab¹⁹, i²=b²⁰, b⁶j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=ab¹⁷, fj=b¹⁸, gj=ab¹⁹, hj=b²⁰, ij=ab¹⁹, j²=b²⁰, b⁷k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=ab¹⁹, gk=b²⁰, hk=ab¹⁹, ik=b²⁰, jk=ab¹⁹, k²=b²⁰, b⁸l=b¹⁹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b⁷l, gl=ab¹⁹, hl=b²⁰, il=ab¹⁹, jl=b²⁰, kl=ab¹⁹, l²=b²⁰, b⁷m=ab⁶l, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab⁶l, gm=b⁷l, hm=ab¹⁹, im=b²⁰, jm=ab¹⁹, km=b²⁰, lm=ab¹⁹, m²=b²⁰, b⁶n=ab⁵m, cn=ab²n, dn=ab⁴n, en=b⁵m, fn=ab⁶m, gn=ab⁶l, hn=b⁷l, in=ab¹⁹, jn=b²⁰, kn=ab¹⁹, ln=b²⁰, mn=ab¹⁹, n²=b²⁰, b⁵o=ab⁴n, co=ab²o, do=ab⁴o, eo=b⁵n, fo=b⁵m, go=ab⁶m, ho=ab⁶l, io=b⁷l, jo=ab¹⁹, ko=b²⁰, lo=ab¹⁹, mo=b²⁰, no=ab¹⁹, o²=b²⁰, b⁴p=ab³o, cp=ab²p, dp=b³o, ep=ab⁴n, fp=b⁵n, gp=b⁵m, hp=ab⁶m, ip=ab⁶l, jp=b⁷l, kp=ab¹⁹, lp=b²⁰, mp=ab¹⁹, np=b²⁰, op=ab¹⁹, p²=b²⁰, b³q=ab²p, cq=ab²q, dq=b³p, eq=ab⁴o, fq=ab⁴n, gq=b⁵n, hq=b⁵m, iq=ab⁶m, jq=ab⁶l, kq=b⁷l, lq=ab¹⁹, mq=b²⁰, nq=ab¹⁹, oq=b²⁰, pq=ab¹⁹, q²=b²⁰, b²r=abq, cr=bq, dr=ab²p, er=b³o, fr=ab⁴o, gr=ab⁴n, hr=b⁵n, ir=b⁵m, jr=ab⁶m, kr=ab⁶l, lr=b⁷l, mr=ab¹⁹, nr=b²⁰, or=ab¹⁹, pr=b²⁰, qr=ab¹⁹, r²=b²⁰, bs=ar, cs=br, ds=ab²q, es=b³p, fs=b³o, gs=ab⁴o, hs=ab⁴n, is=b⁵n, js=b⁵m, ks=ab⁶m, ls=ab⁶l, ms=b⁷l, ns=ab¹⁹, os=b²⁰, ps=ab¹⁹, qs=b²⁰, rs=ab¹⁹, s²=b²⁰, bt=as, ct=ar, dt=bq, et=ab²p, ft=b³p, gt=b³o, ht=ab⁴o, it=ab⁴n, jt=b⁵n, kt=b⁵m, lt=ab⁶m, mt=ab⁶l, nt=b⁷l, ot=ab¹⁹, pt=b²⁰, qt=ab¹⁹, rt=b²⁰, st=ab¹⁹, t²=b²⁰, bu=at, cu=as, du=br, eu=ab²q, fu=ab²p, gu=b³p, hu=b³o, iu=ab⁴o, ju=ab⁴n, ku=b⁵n, lu=b⁵m, mu=ab⁶m, nu=ab⁶l, ou=b⁷l, pu=ab¹⁹, qu=b²⁰, ru=ab¹⁹, su=b²⁰, tu=ab¹⁹, u²=b²⁰, bv=au, cv=at, dv=ar, ev=bq, fv=ab²q, gv=ab²p, hv=b³p, iv=b³o, jv=ab⁴o, kv=ab⁴n, lv=b⁵n, mv=b⁵m, nv=ab⁶m, ov=ab⁶l, pv=b⁷l, qv=ab¹⁹, rv=b²⁰, sv=ab¹⁹, tv=b²⁰, uv=ab¹⁹, v²=b²⁰, bw=av, cw=au, dw=as, ew=br, fw=bq, gw=ab²q, hw=ab²p, iw=b³p, jw=b³o, kw=ab⁴o, lw=ab⁴n, mw=b⁵n, nw=b⁵m, ow=ab⁶m, pw=ab⁶l, qw=b⁷l, rw=ab¹⁹, sw=b²⁰, tw=ab¹⁹, uw=b²⁰, vw=ab¹⁹, w²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, af, bg, ah, ab²h, bi, b³i, aj, ab²j, ab⁴j, bk, b³k, b⁵k, al, ab²l, ab⁴l, ab⁶l, bm, b³m, b⁵m, an, ab²n, ab⁴n, bo, b³o, ap, ab²p, bq, ar, at, av}

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 v w

Monoid Structure