Details Page for 0.4126

Complete Solution is Known:

MSV File: q-0.4126.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₇(0.4126):

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, b⁴=b², b²c=c, c⁴=ac³, bd=ab, cd=ac, d³=ad², b³e=be, c²e=ace, de=ae, e²=ac³, b³f=bf, cf=bce, d²f=adf, b²ef=ef, b²f²=f², df²=af², ef²=ace, f³=abce, b³g=bg, c²g=abc³, dg=ag, b²eg=eg, ceg=bce, f²g=abc³, g²=ac³, b²h=h, ch=cg, dh=ah, eh=eg, gh=ac³, h²=ac³, b²i=i, ci=c², di=ai, ei=ce, fi=bce, gi=cg, hi=cg, i²=ac³, b²j=j, cj=ac³, dj=aj, ej=ce, fj=bce, gj=bc³, hj=af²h, ij=ac³, j²=ac³, b²k=k, ck=abce, dk=ak, ek=bc³, f²k=bce, hk=abeg, ik=abce, jk=abce, k²=ac³, bl=be, cl=ce, dl=al, efl=abce, f²l=ace, egl=abc³, hl=eg, il=ce, jl=ce, kl=bc³, l²=ac³, cm=abefg, dm=am, em=eg, f²m=abc³, bgm=abc³, fgm=abce, hm=ac³, im=abefg, jm=bc³, km=gk, lm=gl, m²=gm, dn=an, n⁴=n², b²o=o, co=abce, do=ao, eo=bc³, f²o=bce, go=gk, ho=ce, io=abce, jo=abce, ko=ac³, lo=bc³, mo=ce, o²=ac³, b³p=bp, cp=ce, dp=ap, ep=el, fp=f²h, gp=abce, hp=abce, ip=ce, jp=ce, kp=bc³, lp=ac³, mp=abce, op=bc³, p²=ac³, b²q=q, c³q=ac²q, dq=aq, efq=abcq, f²q=c²q, gq=bc²q, hq=bc²q, fkq=jq, lq=eq, mq=bc²q, cn²q=cq, en²q=eq, fn²q=fq, jn²q=jq, kn²q=kq, n³q=nq, oq=bceq, pq=aceq, q²=bc²q, b³r=br, c²r=acr, dr=ar, b²er=er, cer=aer, efr=abcr, f²r=acr, b²gr=gr, cgr=bcr, egr=ber, hr=abcr, ir=cr, jr=cr, kr=aber, lr=er, mr=abcr, b²nr=nr, gnr=abcnr, cn²r=cr, en²r=er, n³r=nr, or=aber, pr=er, qr=c²nq, b²r²=r², cr²=ar², fr²=ber², gr²=br², n²r²=r², r³=nr², c²s=c³, ds=as, b²es=es, ces=ace, b²fs=fs, efs=abcs, f²s=c³, cgs=befg, egs=aeg, is=cs, js=efg, gks=beg, ls=es, fms=fhs, gms=ael, cns=befn, ens=ab²en, ps=ce, cqs=acq, eqs=aeq, kqs=abceq, n²qs=qs, b²rs=rs, crs=acr, ers=aer, nrs=anr, r²s=ar², s²=ab²s, b²t=t, c²t=abf²h, dt=at, et=abeg, f²t=c³, cgt=f²h, fgt=ce, fht=ce, jt=bf²h, kt=bp, lt=abeg, mt=af²h, ot=abce, pt=ce, cqt=c²q, fqt=bceq, iqt=ajq, n²qt=qt, rt=cr, cst=aefg, gst=abc³, hst=abc³, qst=c²q, ct²=c³, ft²=abce, gt²=abc³, ht²=abc³, it²=abf²h, qt²=c²q, st²=c³, t³=c³, b³u=bu, cu=abce, du=au, eu=bc³, f²u=bce, b²gu=gu, hu=ce, iu=abce, ju=abce, ku=ac³, lu=bc³, mu=ce, nu=bcen, ou=ac³, pu=bc³, qu=bceq, ru=aber, b²su=su, tu=abce, u²=ac³, bv=abce, cv=ce, dv=av, ev=el, fv=abc³, gv=abce, hv=abce, iv=ce, jv=ce, kv=bc³, lv=ac³, mv=abce, ov=bc³, pv=ac³, qv=aceq, rv=er, sv=ce, tv=ce, uv=bc³, v²=ac³, b²w=w, cw=aw, dw=aw, fw=bew, gw=bw, hw=bw, iw=aw, jw=aw, kw=abew, lw=ew, mw=bw, ow=abew, pw=ew, qw=aceq, n²rw=rw, sw=aw, tw=aw, uw=abew, vw=ew, w²=bc²q, b²x=x, cx=ax, dx=ax, fx=bex, gx=bx, hx=bx, ix=ax, jx=ax, kx=abex, lx=ex, mx=bx, n²x=x, ox=abex, px=ex, qx=bc²q, r²x=nrx, sx=ax, tx=ax, ux=abex, vx=ex, rwx=nwx, x²=bc²q, b³y=by, dy=ay, b²ey=ey, b²fy=fy, efy=bc²y, f²y=ac³y, b²gy=gy, cgy=abc²y, egy=abcey, fhy=acey, jy=ac²y, ky=abey, ly=ey, my=bc²y, b²ny=ny, c²ny=acny, ceny=aeny, hny=abcny, iny=cny, n²y=nr², oy=bcey, py=acey, cqy=ac²nq, eqy=acenq, fqy=abcenq, nqy=c²q, ry=r², b²sy=sy, csy=ac³y, esy=cey, hsy=bc³y, nsy=any, qsy=ac²nq, ty=c³y, uy=bcey, vy=acey, xy=rx, y²=r², b³z=bz, cz=ac³, dz=az, ez=ce, fz=bce, b²gz=gz, hz=gz, iz=ac³, jz=ac³, kz=abce, lz=ce, mz=gz, b²nz=nz, gnz=af²hn, oz=abce, pz=ce, qz=ac²q, rz=cr, sz=ac³, tz=ac³, uz=abce, vz=ce, wz=aw, xz=ax, yz=c³y, z²=ac³>

P = {a, b², abc, c², ac³, d², af, ef, f², bg, abfh, abi, abfgk, al, fgl, bm, b³m, gm, ab²n, bcn, afn, aefn, bin, bjn, bfkn, afln, n², b²n², abcn², c²n², ac³n², efn², f²n², bgn², abfhn², abin², abfgkn², aln², fgln², bmn², b³mn², gmn², ab²n³, bcn³, afn³, aefn³, bin³, bjn³, bfkn³, afln³, ap, an²p, bq, bc²q, bn²q, ab²r, afr, abenr, r², ab²s, bcs, abgs, bfks, ams, ab³ms, ns, b²ns, bfgns, ab²n²s, abgn²s, bfkn²s, amn²s, ab³mn²s, n³s, b²n³s, bfgn³s, abqs, bfgrs, abct, abht, abit, ant, abint, abcn²t, abhn²t, abin²t, an³t, abin³t, t², n²t², ab²fu, abfgu, fsu, av, an²v, ew, en²w, er²w, aex, bnrx, anwx, ab²y, cy, ac²y, abgy, iy, abeny, abqy, biqy, bfgsy, ab²z, abgz, abn²z}

Phi = 1 1 a a abe abe be b b c d bce e f g h i j k l b²e m n i aefg o p b²e q r s t u v w x y z

Monoid Structure