Details Page for 0.1452

Complete Solution is Known:

MSV File: q-0.1452.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₂₁(0.1452):

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,A,B | a²=1, b³=b, b²c³=c³, c⁴=b²c², bd=ab, cd=ac, d³=ad², ce=c², de=ae, be²=bc², e³=c³, bf=ab, c²f=ae², d²f=adf, e²f=ae², f²=df, b²cg=cg, c²g=c³, d²g=adg, eg=e², fg=dg, bg²=bc², cg²=c³, dg²=ag², g³=c³, bh=ab, c³h=ac³, dh=ah, e²h=ag², cgh=acg, g²h=ag², h²=fh, ci=cg, di=ai, ei=cg, gi=g², hi=fi, bi²=bc², fi²=ai², i³=c³, bj=ab, c³j=ac³, dj=aj, e²j=c²j, fj=aj, cgj=acg, g²j=ai², c²hj=i², i²j=ai², j²=hj, ck=cg, dk=ak, ek=cg, fk=ak, gk=cg, ik=i², jk=hk, bk²=bc², hk²=ak², k³=c³, bl=ab, c³l=ac³, dl=al, e²l=c²l, fl=al, cgl=acg, g²l=c²l, hl=al, i²l=ak², c²jl=k², k²l=ak², l²=jl, cm=cg, dm=am, em=cg, fm=am, gm=cg, hm=am, im=cg, km=k², lm=jm, bm²=bc², jm²=am², m³=c³, bn=ab, c³n=ac³, dn=an, e²n=c²n, fn=an, cgn=acg, g²n=c²n, hn=an, i²n=c²n, jn=an, k²n=am², c²ln=m², m²n=am², n²=ln, co=cg, do=ao, eo=cg, fo=ao, go=cg, ho=ao, io=cg, jo=ao, ko=cg, mo=m², no=lo, bo²=bc², lo²=ao², o³=c³, bp=ab, c³p=ac³, dp=ap, e²p=c²p, fp=ap, cgp=acg, g²p=c²p, hp=ap, i²p=c²p, jp=ap, k²p=c²p, lp=ap, m²p=ao², c²np=o², o²p=ao², p²=np, cq=cg, dq=aq, eq=cg, fq=aq, gq=cg, hq=aq, iq=cg, jq=aq, kq=cg, lq=aq, mq=cg, oq=o², pq=nq, bq²=bc², nq²=aq², q³=c³, br=ab, c³r=ac³, dr=ar, e²r=c²r, fr=ar, cgr=acg, g²r=c²r, hr=ar, i²r=c²r, jr=ar, k²r=c²r, lr=ar, m²r=c²r, nr=ar, o²r=aq², c²pr=q², q²r=aq², r²=pr, cs=cg, ds=as, es=cg, fs=as, gs=cg, hs=as, is=cg, js=as, ks=cg, ls=as, ms=cg, ns=as, os=cg, qs=q², rs=ps, bs²=bc², ps²=as², s³=c³, bt=ab, c³t=ac³, dt=at, e²t=c²t, ft=at, cgt=acg, g²t=c²t, ht=at, i²t=c²t, jt=at, k²t=c²t, lt=at, m²t=c²t, nt=at, o²t=c²t, pt=at, q²t=as², c²rt=s², s²t=as², t²=rt, cu=cg, du=au, eu=cg, fu=au, gu=cg, hu=au, iu=cg, ju=au, ku=cg, lu=au, mu=cg, nu=au, ou=cg, pu=au, qu=cg, su=s², tu=ru, bu²=bc², ru²=au², u³=c³, bv=ab, c³v=ac³, dv=av, e²v=c²v, fv=av, cgv=acg, g²v=c²v, hv=av, i²v=c²v, jv=av, k²v=c²v, lv=av, m²v=c²v, nv=av, o²v=c²v, pv=av, q²v=c²v, rv=av, s²v=au², c²tv=u², u²v=au², v²=tv, cw=cg, dw=aw, ew=cg, fw=aw, gw=cg, hw=aw, iw=cg, jw=aw, kw=cg, lw=aw, mw=cg, nw=aw, ow=cg, pw=aw, qw=cg, rw=aw, sw=cg, uw=u², vw=tw, bw²=bc², tw²=aw², w³=c³, bx=ab, c³x=ac³, dx=ax, e²x=c²x, fx=ax, cgx=acg, g²x=c²x, hx=ax, i²x=c²x, jx=ax, k²x=c²x, lx=ax, m²x=c²x, nx=ax, o²x=c²x, px=ax, q²x=c²x, rx=ax, s²x=c²x, tx=ax, u²x=aw², c²vx=w², w²x=aw², x²=vx, cy=cg, dy=ay, ey=cg, fy=ay, gy=cg, hy=ay, iy=cg, jy=ay, ky=cg, ly=ay, my=cg, ny=ay, oy=cg, py=ay, qy=cg, ry=ay, sy=cg, ty=ay, uy=cg, wy=w², xy=vy, y²=b²c², bz=ab, c³z=ac³, dz=az, e²z=c²z, fz=az, cgz=acg, g²z=c²z, hz=az, i²z=c²z, jz=az, k²z=c²z, lz=az, m²z=c²z, nz=az, o²z=c²z, pz=az, q²z=c²z, rz=az, s²z=c²z, tz=az, u²z=c²z, vz=az, w²z=ab²c², xz=b², yz=ab²y, z²=b², cA=cg, dA=aA, eA=cg, fA=aA, gA=cg, hA=aA, iA=cg, jA=aA, kA=cg, lA=aA, mA=cg, nA=aA, oA=cg, pA=aA, qA=cg, rA=aA, sA=cg, tA=aA, uA=cg, vA=aA, wA=cg, xA=ab²A, yA=b²c², zA=ab²A, A²=b²c², bB=ab, c³B=ac³, dB=aB, e²B=c²B, fB=aB, cgB=acg, g²B=c²B, hB=aB, i²B=c²B, jB=aB, k²B=c²B, lB=aB, m²B=c²B, nB=aB, o²B=c²B, pB=aB, q²B=c²B, rB=aB, s²B=c²B, tB=aB, u²B=c²B, vB=aB, w²B=c²B, xB=aB, zB=b², AB=ab²A, B²=b²>

P = {a, b², c², b²c², d², e², df, ag, abcg, g², ch, fh, ai, i², cj, ej, hj, ak, k², cl, el, gl, jl, am, m², cn, en, gn, in, ln, ao, o², cp, ep, gp, ip, kp, np, aq, q², cr, er, gr, ir, kr, mr, pr, as, s², ct, et, gt, it, kt, mt, ot, rt, au, u², cv, ev, gv, iv, kv, mv, ov, qv, tv, aw, w², cx, ex, gx, ix, kx, mx, ox, qx, sx, vx, ay, cz, ez, gz, iz, kz, mz, oz, qz, sz, uz, aA, cB, eB, gB, iB, kB, mB, oB, qB, sB, uB, wB}

Phi = 1 a 1 a a b b b b c a a ab² d b b b b e ab² ab² ab² f b b b b g ab² ab² ab² h b b b b i ab² ab² ab² j b b b b k ab² ab² ab² l b b b b m ab² ab² ab² n b b b b o ab² ab² ab² p b b b b q ab² ab² ab² r b b b b s ab² ab² ab² t b b b b u ab² ab² ab² v b b b b w ab² ab² ab² x b b b b y ab² ab² ab² z b b b b A ab² ab² ab² B b b b b

Monoid Structure