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 Q₂₈(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,x | a²=1, b²²=b²⁰, 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=ab²¹, j²=b²⁰, b⁷k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=ab¹⁹, gk=b²⁰, hk=ab²¹, ik=b²⁰, jk=ab²¹, k²=b²⁰, b⁸l=b²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b⁷l, gl=ab²¹, hl=b²⁰, il=ab²¹, jl=b²⁰, kl=ab²¹, l²=b²⁰, b⁸m=ab⁷l, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=b⁷m, gm=b⁷l, hm=ab²¹, im=b²⁰, jm=ab²¹, km=b²⁰, lm=ab²¹, m²=b²⁰, b⁷n=ab⁶m, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁶m, gn=b⁷m, hn=b⁷l, in=ab²¹, jn=b²⁰, kn=ab²¹, ln=b²⁰, mn=ab²¹, n²=b²⁰, b⁶o=ab⁵n, co=ab²o, do=ab⁴o, eo=b⁵n, fo=ab⁶n, go=ab⁶m, ho=b⁷m, io=b⁷l, jo=ab²¹, ko=b²⁰, lo=ab²¹, mo=b²⁰, no=ab²¹, o²=b²⁰, b⁵p=ab⁴o, cp=ab²p, dp=ab⁴p, ep=b⁵o, fp=b⁵n, gp=ab⁶n, hp=ab⁶m, ip=b⁷m, jp=b⁷l, kp=ab²¹, lp=b²⁰, mp=ab²¹, np=b²⁰, op=ab²¹, p²=b²⁰, b⁴q=ab³p, cq=ab²q, dq=b³p, eq=ab⁴o, fq=b⁵o, gq=b⁵n, hq=ab⁶n, iq=ab⁶m, jq=b⁷m, kq=b⁷l, lq=ab²¹, mq=b²⁰, nq=ab²¹, oq=b²⁰, pq=ab²¹, q²=b²⁰, b³r=ab²q, cr=ab²r, dr=b³q, er=ab⁴p, fr=ab⁴o, gr=b⁵o, hr=b⁵n, ir=ab⁶n, jr=ab⁶m, kr=b⁷m, lr=b⁷l, mr=ab²¹, nr=b²⁰, or=ab²¹, pr=b²⁰, qr=ab²¹, r²=b²⁰, b²s=abr, cs=br, ds=ab²q, es=b³p, fs=ab⁴p, gs=ab⁴o, hs=b⁵o, is=b⁵n, js=ab⁶n, ks=ab⁶m, ls=b⁷m, ms=b⁷l, ns=ab²¹, os=b²⁰, ps=ab²¹, qs=b²⁰, rs=ab²¹, s²=b²⁰, bt=as, ct=bs, dt=ab²r, et=b³q, ft=b³p, gt=ab⁴p, ht=ab⁴o, it=b⁵o, jt=b⁵n, kt=ab⁶n, lt=ab⁶m, mt=b⁷m, nt=b⁷l, ot=ab²¹, pt=b²⁰, qt=ab²¹, rt=b²⁰, st=ab²¹, t²=b²⁰, bu=at, cu=as, du=br, eu=ab²q, fu=b³q, gu=b³p, hu=ab⁴p, iu=ab⁴o, ju=b⁵o, ku=b⁵n, lu=ab⁶n, mu=ab⁶m, nu=b⁷m, ou=b⁷l, pu=ab²¹, qu=b²⁰, ru=ab²¹, su=b²⁰, tu=ab²¹, u²=b²⁰, bv=au, cv=at, dv=bs, ev=ab²r, fv=ab²q, gv=b³q, hv=b³p, iv=ab⁴p, jv=ab⁴o, kv=b⁵o, lv=b⁵n, mv=ab⁶n, nv=ab⁶m, ov=b⁷m, pv=b⁷l, qv=ab²¹, rv=b²⁰, sv=ab²¹, tv=b²⁰, uv=ab²¹, v²=b²⁰, bw=av, cw=au, dw=as, ew=br, fw=ab²r, gw=ab²q, hw=b³q, iw=b³p, jw=ab⁴p, kw=ab⁴o, lw=b⁵o, mw=b⁵n, nw=ab⁶n, ow=ab⁶m, pw=b⁷m, qw=b⁷l, rw=ab²¹, sw=b²⁰, tw=ab²¹, uw=b²⁰, vw=ab²¹, w²=b²⁰, bx=aw, cx=av, dx=at, ex=bs, fx=br, gx=ab²r, hx=ab²q, ix=b³q, jx=b³p, kx=ab⁴p, lx=ab⁴o, mx=b⁵o, nx=b⁵n, ox=ab⁶n, px=ab⁶m, qx=b⁷m, rx=b⁷l, sx=ab²¹, tx=b²⁰, ux=ab²¹, vx=b²⁰, wx=ab²¹, x²=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, b⁷m, an, ab²n, ab⁴n, ab⁶n, bo, b³o, b⁵o, ap, ab²p, ab⁴p, bq, b³q, ar, ab²r, bs, at, av, ax}

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 x

Monoid Structure