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 Q₃₆(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,z,A,B,C,D,E,F | a²=1, b³⁰=b²⁸, 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=b²⁶, b⁹m=ab²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=b⁷m, gm=ab⁸m, hm=ab²³, im=b²⁴, jm=ab²⁵, km=b²⁶, lm=ab²⁷, m²=b²⁸, b¹⁰n=b²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=b⁷n, gn=ab⁸n, hn=b⁹n, in=ab²⁵, jn=b²⁶, kn=ab²⁷, ln=b²⁸, mn=ab²⁹, n²=b²⁸, b¹¹o=ab²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=b⁷o, go=ab⁸o, ho=b⁹o, io=ab¹⁰o, jo=ab²⁷, ko=b²⁸, lo=ab²⁹, mo=b²⁸, no=ab²⁹, o²=b²⁸, b¹²p=b²⁹, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=b⁷p, gp=ab⁸p, hp=b⁹p, ip=ab¹⁰p, jp=b¹¹p, kp=ab²⁹, lp=b²⁸, mp=ab²⁹, np=b²⁸, op=ab²⁹, p²=b²⁸, b¹²q=ab¹¹p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=b⁷q, gq=ab⁸q, hq=b⁹q, iq=ab¹⁰q, jq=b¹¹q, kq=b¹¹p, lq=ab²⁹, mq=b²⁸, nq=ab²⁹, oq=b²⁸, pq=ab²⁹, q²=b²⁸, b¹¹r=ab¹⁰q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=b⁷r, gr=ab⁸r, hr=b⁹r, ir=ab¹⁰r, jr=ab¹⁰q, kr=b¹¹q, lr=b¹¹p, mr=ab²⁹, nr=b²⁸, or=ab²⁹, pr=b²⁸, qr=ab²⁹, r²=b²⁸, b¹⁰s=ab⁹r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=b⁷s, gs=ab⁸s, hs=b⁹s, is=b⁹r, js=ab¹⁰r, ks=ab¹⁰q, ls=b¹¹q, ms=b¹¹p, ns=ab²⁹, os=b²⁸, ps=ab²⁹, qs=b²⁸, rs=ab²⁹, s²=b²⁸, b⁹t=ab⁸s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=b⁷t, gt=ab⁸t, ht=ab⁸s, it=b⁹s, jt=b⁹r, kt=ab¹⁰r, lt=ab¹⁰q, mt=b¹¹q, nt=b¹¹p, ot=ab²⁹, pt=b²⁸, qt=ab²⁹, rt=b²⁸, st=ab²⁹, t²=b²⁸, b⁸u=ab⁷t, cu=ab²u, du=ab⁴u, eu=ab⁶u, fu=b⁷u, gu=b⁷t, hu=ab⁸t, iu=ab⁸s, ju=b⁹s, ku=b⁹r, lu=ab¹⁰r, mu=ab¹⁰q, nu=b¹¹q, ou=b¹¹p, pu=ab²⁹, qu=b²⁸, ru=ab²⁹, su=b²⁸, tu=ab²⁹, u²=b²⁸, b⁷v=ab⁶u, cv=ab²v, dv=ab⁴v, ev=ab⁶v, fv=ab⁶u, gv=b⁷u, hv=b⁷t, iv=ab⁸t, jv=ab⁸s, kv=b⁹s, lv=b⁹r, mv=ab¹⁰r, nv=ab¹⁰q, ov=b¹¹q, pv=b¹¹p, qv=ab²⁹, rv=b²⁸, sv=ab²⁹, tv=b²⁸, uv=ab²⁹, v²=b²⁸, b⁶w=ab⁵v, cw=ab²w, dw=ab⁴w, ew=b⁵v, fw=ab⁶v, gw=ab⁶u, hw=b⁷u, iw=b⁷t, jw=ab⁸t, kw=ab⁸s, lw=b⁹s, mw=b⁹r, nw=ab¹⁰r, ow=ab¹⁰q, pw=b¹¹q, qw=b¹¹p, rw=ab²⁹, sw=b²⁸, tw=ab²⁹, uw=b²⁸, vw=ab²⁹, w²=b²⁸, b⁵x=ab⁴w, cx=ab²x, dx=ab⁴x, ex=b⁵w, fx=b⁵v, gx=ab⁶v, hx=ab⁶u, ix=b⁷u, jx=b⁷t, kx=ab⁸t, lx=ab⁸s, mx=b⁹s, nx=b⁹r, ox=ab¹⁰r, px=ab¹⁰q, qx=b¹¹q, rx=b¹¹p, sx=ab²⁹, tx=b²⁸, ux=ab²⁹, vx=b²⁸, wx=ab²⁹, x²=b²⁸, b⁴y=ab³x, cy=ab²y, dy=b³x, ey=ab⁴w, fy=b⁵w, gy=b⁵v, hy=ab⁶v, iy=ab⁶u, jy=b⁷u, ky=b⁷t, ly=ab⁸t, my=ab⁸s, ny=b⁹s, oy=b⁹r, py=ab¹⁰r, qy=ab¹⁰q, ry=b¹¹q, sy=b¹¹p, ty=ab²⁹, uy=b²⁸, vy=ab²⁹, wy=b²⁸, xy=ab²⁹, y²=b²⁸, b³z=ab²y, cz=ab²z, dz=b³y, ez=ab⁴x, fz=ab⁴w, gz=b⁵w, hz=b⁵v, iz=ab⁶v, jz=ab⁶u, kz=b⁷u, lz=b⁷t, mz=ab⁸t, nz=ab⁸s, oz=b⁹s, pz=b⁹r, qz=ab¹⁰r, rz=ab¹⁰q, sz=b¹¹q, tz=b¹¹p, uz=ab²⁹, vz=b²⁸, wz=ab²⁹, xz=b²⁸, yz=ab²⁹, z²=b²⁸, b²A=abz, cA=bz, dA=ab²y, eA=b³x, fA=ab⁴x, gA=ab⁴w, hA=b⁵w, iA=b⁵v, jA=ab⁶v, kA=ab⁶u, lA=b⁷u, mA=b⁷t, nA=ab⁸t, oA=ab⁸s, pA=b⁹s, qA=b⁹r, rA=ab¹⁰r, sA=ab¹⁰q, tA=b¹¹q, uA=b¹¹p, vA=ab²⁹, wA=b²⁸, xA=ab²⁹, yA=b²⁸, zA=ab²⁹, A²=b²⁸, bB=aA, cB=bA, dB=ab²z, eB=b³y, fB=b³x, gB=ab⁴x, hB=ab⁴w, iB=b⁵w, jB=b⁵v, kB=ab⁶v, lB=ab⁶u, mB=b⁷u, nB=b⁷t, oB=ab⁸t, pB=ab⁸s, qB=b⁹s, rB=b⁹r, sB=ab¹⁰r, tB=ab¹⁰q, uB=b¹¹q, vB=b¹¹p, wB=ab²⁹, xB=b²⁸, yB=ab²⁹, zB=b²⁸, AB=ab²⁹, B²=b²⁸, bC=aB, cC=aA, dC=bz, eC=ab²y, fC=b³y, gC=b³x, hC=ab⁴x, iC=ab⁴w, jC=b⁵w, kC=b⁵v, lC=ab⁶v, mC=ab⁶u, nC=b⁷u, oC=b⁷t, pC=ab⁸t, qC=ab⁸s, rC=b⁹s, sC=b⁹r, tC=ab¹⁰r, uC=ab¹⁰q, vC=b¹¹q, wC=b¹¹p, xC=ab²⁹, yC=b²⁸, zC=ab²⁹, AC=b²⁸, BC=ab²⁹, C²=b²⁸, bD=aC, cD=aB, dD=bA, eD=ab²z, fD=ab²y, gD=b³y, hD=b³x, iD=ab⁴x, jD=ab⁴w, kD=b⁵w, lD=b⁵v, mD=ab⁶v, nD=ab⁶u, oD=b⁷u, pD=b⁷t, qD=ab⁸t, rD=ab⁸s, sD=b⁹s, tD=b⁹r, uD=ab¹⁰r, vD=ab¹⁰q, wD=b¹¹q, xD=b¹¹p, yD=ab²⁹, zD=b²⁸, AD=ab²⁹, BD=b²⁸, CD=ab²⁹, D²=b²⁸, bE=aD, cE=aC, dE=aA, eE=bz, fE=ab²z, gE=ab²y, hE=b³y, iE=b³x, jE=ab⁴x, kE=ab⁴w, lE=b⁵w, mE=b⁵v, nE=ab⁶v, oE=ab⁶u, pE=b⁷u, qE=b⁷t, rE=ab⁸t, sE=ab⁸s, tE=b⁹s, uE=b⁹r, vE=ab¹⁰r, wE=ab¹⁰q, xE=b¹¹q, yE=b¹¹p, zE=ab²⁹, AE=b²⁸, BE=ab²⁹, CE=b²⁸, DE=ab²⁹, E²=b²⁸, bF=aE, cF=aD, dF=aB, eF=bA, fF=bz, gF=ab²z, hF=ab²y, iF=b³y, jF=b³x, kF=ab⁴x, lF=ab⁴w, mF=b⁵w, nF=b⁵v, oF=ab⁶v, pF=ab⁶u, qF=b⁷u, rF=b⁷t, sF=ab⁸t, tF=ab⁸s, uF=b⁹s, vF=b⁹r, wF=ab¹⁰r, xF=ab¹⁰q, yF=b¹¹q, zF=b¹¹p, AF=ab²⁹, BF=b²⁸, CF=ab²⁹, DF=b²⁸, EF=ab²⁹, F²=b²⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, 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, ab¹⁰p, bq, b³q, b⁵q, b⁷q, b⁹q, b¹¹q, ar, ab²r, ab⁴r, ab⁶r, ab⁸r, ab¹⁰r, bs, b³s, b⁵s, b⁷s, b⁹s, at, ab²t, ab⁴t, ab⁶t, ab⁸t, bu, b³u, b⁵u, b⁷u, av, ab²v, ab⁴v, ab⁶v, bw, b³w, b⁵w, ax, ab²x, ab⁴x, by, b³y, az, ab²z, bA, aB, aD, aF}

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 C D E F

Monoid Structure