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 Q₃₂(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,y,z,A,B | a²=1, b²⁶=b²⁴, 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=ab²³, k²=b²⁴, b⁸l=b²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b⁷l, gl=ab²¹, hl=b²², il=ab²³, jl=b²⁴, kl=ab²⁵, l²=b²⁴, b⁹m=ab²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=b⁷m, gm=ab⁸m, hm=ab²³, im=b²⁴, jm=ab²⁵, km=b²⁴, lm=ab²⁵, m²=b²⁴, b¹⁰n=b²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=b⁷n, gn=ab⁸n, hn=b⁹n, in=ab²⁵, jn=b²⁴, kn=ab²⁵, ln=b²⁴, mn=ab²⁵, n²=b²⁴, b¹⁰o=ab⁹n, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=b⁷o, go=ab⁸o, ho=b⁹o, io=b⁹n, jo=ab²⁵, ko=b²⁴, lo=ab²⁵, mo=b²⁴, no=ab²⁵, o²=b²⁴, b⁹p=ab⁸o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=b⁷p, gp=ab⁸p, hp=ab⁸o, ip=b⁹o, jp=b⁹n, kp=ab²⁵, lp=b²⁴, mp=ab²⁵, np=b²⁴, op=ab²⁵, p²=b²⁴, b⁸q=ab⁷p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=b⁷q, gq=b⁷p, hq=ab⁸p, iq=ab⁸o, jq=b⁹o, kq=b⁹n, lq=ab²⁵, mq=b²⁴, nq=ab²⁵, oq=b²⁴, pq=ab²⁵, q²=b²⁴, b⁷r=ab⁶q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁶q, gr=b⁷q, hr=b⁷p, ir=ab⁸p, jr=ab⁸o, kr=b⁹o, lr=b⁹n, mr=ab²⁵, nr=b²⁴, or=ab²⁵, pr=b²⁴, qr=ab²⁵, r²=b²⁴, b⁶s=ab⁵r, cs=ab²s, ds=ab⁴s, es=b⁵r, fs=ab⁶r, gs=ab⁶q, hs=b⁷q, is=b⁷p, js=ab⁸p, ks=ab⁸o, ls=b⁹o, ms=b⁹n, ns=ab²⁵, os=b²⁴, ps=ab²⁵, qs=b²⁴, rs=ab²⁵, s²=b²⁴, b⁵t=ab⁴s, ct=ab²t, dt=ab⁴t, et=b⁵s, ft=b⁵r, gt=ab⁶r, ht=ab⁶q, it=b⁷q, jt=b⁷p, kt=ab⁸p, lt=ab⁸o, mt=b⁹o, nt=b⁹n, ot=ab²⁵, pt=b²⁴, qt=ab²⁵, rt=b²⁴, st=ab²⁵, t²=b²⁴, b⁴u=ab³t, cu=ab²u, du=b³t, eu=ab⁴s, fu=b⁵s, gu=b⁵r, hu=ab⁶r, iu=ab⁶q, ju=b⁷q, ku=b⁷p, lu=ab⁸p, mu=ab⁸o, nu=b⁹o, ou=b⁹n, pu=ab²⁵, qu=b²⁴, ru=ab²⁵, su=b²⁴, tu=ab²⁵, u²=b²⁴, b³v=ab²u, cv=ab²v, dv=b³u, ev=ab⁴t, fv=ab⁴s, gv=b⁵s, hv=b⁵r, iv=ab⁶r, jv=ab⁶q, kv=b⁷q, lv=b⁷p, mv=ab⁸p, nv=ab⁸o, ov=b⁹o, pv=b⁹n, qv=ab²⁵, rv=b²⁴, sv=ab²⁵, tv=b²⁴, uv=ab²⁵, v²=b²⁴, b²w=abv, cw=bv, dw=ab²u, ew=b³t, fw=ab⁴t, gw=ab⁴s, hw=b⁵s, iw=b⁵r, jw=ab⁶r, kw=ab⁶q, lw=b⁷q, mw=b⁷p, nw=ab⁸p, ow=ab⁸o, pw=b⁹o, qw=b⁹n, rw=ab²⁵, sw=b²⁴, tw=ab²⁵, uw=b²⁴, vw=ab²⁵, w²=b²⁴, bx=aw, cx=bw, dx=ab²v, ex=b³u, fx=b³t, gx=ab⁴t, hx=ab⁴s, ix=b⁵s, jx=b⁵r, kx=ab⁶r, lx=ab⁶q, mx=b⁷q, nx=b⁷p, ox=ab⁸p, px=ab⁸o, qx=b⁹o, rx=b⁹n, sx=ab²⁵, tx=b²⁴, ux=ab²⁵, vx=b²⁴, wx=ab²⁵, x²=b²⁴, by=ax, cy=aw, dy=bv, ey=ab²u, fy=b³u, gy=b³t, hy=ab⁴t, iy=ab⁴s, jy=b⁵s, ky=b⁵r, ly=ab⁶r, my=ab⁶q, ny=b⁷q, oy=b⁷p, py=ab⁸p, qy=ab⁸o, ry=b⁹o, sy=b⁹n, ty=ab²⁵, uy=b²⁴, vy=ab²⁵, wy=b²⁴, xy=ab²⁵, y²=b²⁴, bz=ay, cz=ax, dz=bw, ez=ab²v, fz=ab²u, gz=b³u, hz=b³t, iz=ab⁴t, jz=ab⁴s, kz=b⁵s, lz=b⁵r, mz=ab⁶r, nz=ab⁶q, oz=b⁷q, pz=b⁷p, qz=ab⁸p, rz=ab⁸o, sz=b⁹o, tz=b⁹n, uz=ab²⁵, vz=b²⁴, wz=ab²⁵, xz=b²⁴, yz=ab²⁵, z²=b²⁴, bA=az, cA=ay, dA=aw, eA=bv, fA=ab²v, gA=ab²u, hA=b³u, iA=b³t, jA=ab⁴t, kA=ab⁴s, lA=b⁵s, mA=b⁵r, nA=ab⁶r, oA=ab⁶q, pA=b⁷q, qA=b⁷p, rA=ab⁸p, sA=ab⁸o, tA=b⁹o, uA=b⁹n, vA=ab²⁵, wA=b²⁴, xA=ab²⁵, yA=b²⁴, zA=ab²⁵, A²=b²⁴, bB=aA, cB=az, dB=ax, eB=bw, fB=bv, gB=ab²v, hB=ab²u, iB=b³u, jB=b³t, kB=ab⁴t, lB=ab⁴s, mB=b⁵s, nB=b⁵r, oB=ab⁶r, pB=ab⁶q, qB=b⁷q, rB=b⁷p, sB=ab⁸p, tB=ab⁸o, uB=b⁹o, vB=b⁹n, wB=ab²⁵, xB=b²⁴, yB=ab²⁵, zB=b²⁴, AB=ab²⁵, B²=b²⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, af, bg, ah, ab²h, bi, b³i, aj, ab²j, ab⁴j, bk, b³k, b⁵k, al, ab²l, ab⁴l, ab⁶l, bm, b³m, b⁵m, b⁷m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, bo, b³o, b⁵o, b⁷o, b⁹o, ap, ab²p, ab⁴p, ab⁶p, ab⁸p, bq, b³q, b⁵q, b⁷q, ar, ab²r, ab⁴r, ab⁶r, bs, b³s, b⁵s, at, ab²t, ab⁴t, bu, b³u, av, ab²v, bw, ax, az, aB}

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 z A B

Monoid Structure