Details Page for 0.3551

Complete Solution is Known:

MSV File: q-0.3551.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₃(0.3551):

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,z | a²=1, b²³=b²¹, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², bf=ab⁹, cf=b¹⁰, df=b¹², ef=b¹⁴, f²=b¹⁶, b²g=b¹¹, cg=ab¹¹, dg=ab¹³, eg=ab¹⁵, fg=ab¹⁷, g²=b¹⁸, b³h=ab¹³, ch=ab²h, dh=b¹⁴, eh=b¹⁶, fh=b¹⁸, gh=ab¹⁹, h²=b²⁰, b⁴i=b¹⁵, ci=ab²i, di=ab¹⁵, ei=ab¹⁷, fi=ab¹⁹, gi=b²⁰, hi=ab²¹, i²=b²², b⁵j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁸, fj=b²⁰, gj=ab²¹, hj=b²², ij=ab²¹, j²=b²², b⁶k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=ab¹⁹, fk=ab²¹, gk=b²², hk=ab²¹, ik=b²², jk=ab²¹, k²=b²², b⁷l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b²², gl=ab²¹, hl=b²², il=ab²¹, jl=b²², kl=ab²¹, l²=b²², b⁸m=b²¹, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²¹, gm=b²², hm=ab²¹, im=b²², jm=ab²¹, km=b²², lm=ab²¹, m²=b²², b⁷n=ab⁶m, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=b⁷m, gn=ab²¹, hn=b²², in=ab²¹, jn=b²², kn=ab²¹, ln=b²², mn=ab²¹, n²=b²², b⁶o=ab⁵n, co=ab²o, do=ab⁴o, eo=b⁵n, fo=ab⁶m, go=b⁷m, ho=ab²¹, io=b²², jo=ab²¹, ko=b²², lo=ab²¹, mo=b²², no=ab²¹, o²=b²², b⁵p=ab⁴o, cp=ab²p, dp=ab⁴p, ep=b⁵o, fp=ab⁶n, gp=ab⁶m, hp=b⁷m, ip=ab²¹, jp=b²², kp=ab²¹, lp=b²², mp=ab²¹, np=b²², op=ab²¹, p²=b²², b⁴q=ab³p, cq=ab²q, dq=b³p, eq=ab⁴o, fq=b⁵n, gq=ab⁶n, hq=ab⁶m, iq=b⁷m, jq=ab²¹, kq=b²², lq=ab²¹, mq=b²², nq=ab²¹, oq=b²², pq=ab²¹, q²=b²², b³r=ab²q, cr=ab²r, dr=b³q, er=ab⁴p, fr=b⁵o, gr=b⁵n, hr=ab⁶n, ir=ab⁶m, jr=b⁷m, kr=ab²¹, lr=b²², mr=ab²¹, nr=b²², or=ab²¹, pr=b²², qr=ab²¹, r²=b²², b²s=abr, cs=br, ds=ab²q, es=b³p, fs=ab⁴o, gs=b⁵o, hs=b⁵n, is=ab⁶n, js=ab⁶m, ks=b⁷m, ls=ab²¹, ms=b²², ns=ab²¹, os=b²², ps=ab²¹, qs=b²², rs=ab²¹, s²=b²², bt=as, ct=bs, dt=ab²r, et=b³q, ft=ab⁴p, gt=ab⁴o, ht=b⁵o, it=b⁵n, jt=ab⁶n, kt=ab⁶m, lt=b⁷m, mt=ab²¹, nt=b²², ot=ab²¹, pt=b²², qt=ab²¹, rt=b²², st=ab²¹, t²=b²², bu=at, cu=as, du=br, eu=ab²q, fu=b³p, gu=ab⁴p, hu=ab⁴o, iu=b⁵o, ju=b⁵n, ku=ab⁶n, lu=ab⁶m, mu=b⁷m, nu=ab²¹, ou=b²², pu=ab²¹, qu=b²², ru=ab²¹, su=b²², tu=ab²¹, u²=b²², bv=au, cv=at, dv=bs, ev=ab²r, fv=b³q, gv=b³p, hv=ab⁴p, iv=ab⁴o, jv=b⁵o, kv=b⁵n, lv=ab⁶n, mv=ab⁶m, nv=b⁷m, ov=ab²¹, pv=b²², qv=ab²¹, rv=b²², sv=ab²¹, tv=b²², uv=ab²¹, v²=b²², bw=av, cw=au, dw=as, ew=br, fw=ab²q, gw=b³q, hw=b³p, iw=ab⁴p, jw=ab⁴o, kw=b⁵o, lw=b⁵n, mw=ab⁶n, nw=ab⁶m, ow=b⁷m, pw=ab²¹, qw=b²², rw=ab²¹, sw=b²², tw=ab²¹, uw=b²², vw=ab²¹, w²=b²², bx=aw, cx=av, dx=at, ex=bs, fx=ab²r, gx=ab²q, hx=b³q, ix=b³p, jx=ab⁴p, kx=ab⁴o, lx=b⁵o, mx=b⁵n, nx=ab⁶n, ox=ab⁶m, px=b⁷m, qx=ab²¹, rx=b²², sx=ab²¹, tx=b²², ux=ab²¹, vx=b²², wx=ab²¹, x²=b²², by=ax, cy=aw, dy=au, ey=as, fy=br, gy=ab²r, hy=ab²q, iy=b³q, jy=b³p, ky=ab⁴p, ly=ab⁴o, my=b⁵o, ny=b⁵n, oy=ab⁶n, py=ab⁶m, qy=b⁷m, ry=ab²¹, sy=b²², ty=ab²¹, uy=b²², vy=ab²¹, wy=b²², xy=ab²¹, y²=b²², bz=ay, cz=ax, dz=av, ez=at, fz=bs, gz=br, hz=ab²r, iz=ab²q, jz=b³q, kz=b³p, lz=ab⁴p, mz=ab⁴o, nz=b⁵o, oz=b⁵n, pz=ab⁶n, qz=ab⁶m, rz=b⁷m, sz=ab²¹, tz=b²², uz=ab²¹, vz=b²², wz=ab²¹, xz=b²², yz=ab²¹, z²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², ag, bh, ai, ab²i, bj, b³j, ak, ab²k, ab⁴k, bl, b³l, b⁵l, am, ab²m, ab⁴m, ab⁶m, bn, b³n, b⁵n, ao, ab²o, ab⁴o, bp, b³p, aq, ab²q, br, as, au, aw, ay}

Phi = 1 a b a b a b c b³ d b⁵ e b⁷ f g h i j k l m n o p q r s t u v w x y z

Monoid Structure