Details Page for 0.7551

Complete Solution is Known:

MSV File: q-0.7551.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₉(0.7551):

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,y | a²=1, b²³=b²¹, 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=b²², b⁷k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=ab¹⁹, gk=b²⁰, hk=ab²¹, ik=b²², jk=ab²¹, k²=b²², b⁸l=b²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b⁷l, gl=ab²¹, hl=b²², il=ab²¹, jl=b²², kl=ab²¹, l²=b²², b⁹m=ab²¹, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=b⁷m, gm=ab⁸m, hm=ab²¹, im=b²², jm=ab²¹, km=b²², lm=ab²¹, m²=b²², b⁸n=ab⁷m, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=b⁷n, gn=b⁷m, hn=ab⁸m, in=ab²¹, jn=b²², kn=ab²¹, ln=b²², mn=ab²¹, n²=b²², b⁷o=ab⁶n, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁶n, go=b⁷n, ho=b⁷m, io=ab⁸m, jo=ab²¹, ko=b²², lo=ab²¹, mo=b²², no=ab²¹, o²=b²², b⁶p=ab⁵o, cp=ab²p, dp=ab⁴p, ep=b⁵o, fp=ab⁶o, gp=ab⁶n, hp=b⁷n, ip=b⁷m, jp=ab⁸m, kp=ab²¹, lp=b²², mp=ab²¹, np=b²², op=ab²¹, p²=b²², b⁵q=ab⁴p, cq=ab²q, dq=ab⁴q, eq=b⁵p, fq=b⁵o, gq=ab⁶o, hq=ab⁶n, iq=b⁷n, jq=b⁷m, kq=ab⁸m, lq=ab²¹, mq=b²², nq=ab²¹, oq=b²², pq=ab²¹, q²=b²², b⁴r=ab³q, cr=ab²r, dr=b³q, er=ab⁴p, fr=b⁵p, gr=b⁵o, hr=ab⁶o, ir=ab⁶n, jr=b⁷n, kr=b⁷m, lr=ab⁸m, mr=ab²¹, nr=b²², or=ab²¹, pr=b²², qr=ab²¹, r²=b²², b³s=ab²r, cs=ab²s, ds=b³r, es=ab⁴q, fs=ab⁴p, gs=b⁵p, hs=b⁵o, is=ab⁶o, js=ab⁶n, ks=b⁷n, ls=b⁷m, ms=ab⁸m, ns=ab²¹, os=b²², ps=ab²¹, qs=b²², rs=ab²¹, s²=b²², b²t=abs, ct=bs, dt=ab²r, et=b³q, ft=ab⁴q, gt=ab⁴p, ht=b⁵p, it=b⁵o, jt=ab⁶o, kt=ab⁶n, lt=b⁷n, mt=b⁷m, nt=ab⁸m, ot=ab²¹, pt=b²², qt=ab²¹, rt=b²², st=ab²¹, t²=b²², bu=at, cu=bt, du=ab²s, eu=b³r, fu=b³q, gu=ab⁴q, hu=ab⁴p, iu=b⁵p, ju=b⁵o, ku=ab⁶o, lu=ab⁶n, mu=b⁷n, nu=b⁷m, ou=ab⁸m, pu=ab²¹, qu=b²², ru=ab²¹, su=b²², tu=ab²¹, u²=b²², bv=au, cv=at, dv=bs, ev=ab²r, fv=b³r, gv=b³q, hv=ab⁴q, iv=ab⁴p, jv=b⁵p, kv=b⁵o, lv=ab⁶o, mv=ab⁶n, nv=b⁷n, ov=b⁷m, pv=ab⁸m, qv=ab²¹, rv=b²², sv=ab²¹, tv=b²², uv=ab²¹, v²=b²², bw=av, cw=au, dw=bt, ew=ab²s, fw=ab²r, gw=b³r, hw=b³q, iw=ab⁴q, jw=ab⁴p, kw=b⁵p, lw=b⁵o, mw=ab⁶o, nw=ab⁶n, ow=b⁷n, pw=b⁷m, qw=ab⁸m, rw=ab²¹, sw=b²², tw=ab²¹, uw=b²², vw=ab²¹, w²=b²², bx=aw, cx=av, dx=at, ex=bs, fx=ab²s, gx=ab²r, hx=b³r, ix=b³q, jx=ab⁴q, kx=ab⁴p, lx=b⁵p, mx=b⁵o, nx=ab⁶o, ox=ab⁶n, px=b⁷n, qx=b⁷m, rx=ab⁸m, sx=ab²¹, tx=b²², ux=ab²¹, vx=b²², wx=ab²¹, x²=b²², by=ax, cy=aw, dy=au, ey=bt, fy=bs, gy=ab²s, hy=ab²r, iy=b³r, jy=b³q, ky=ab⁴q, ly=ab⁴p, my=b⁵p, ny=b⁵o, oy=ab⁶o, py=ab⁶n, qy=b⁷n, ry=b⁷m, sy=ab⁸m, ty=ab²¹, uy=b²², vy=ab²¹, wy=b²², xy=ab²¹, y²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², 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 y

Monoid Structure