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 Q₄₀(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,A,B,C,D,E,F,G | a²=1, b³⁰=b²⁸, 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=ab²³, j²=b²⁴, b⁶k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=ab¹⁹, fk=ab²¹, gk=b²², hk=ab²³, ik=b²⁴, jk=ab²⁵, k²=b²⁶, b⁷l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b²², gl=ab²³, hl=b²⁴, il=ab²⁵, jl=b²⁶, kl=ab²⁷, l²=b²⁸, b⁸m=b²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²³, gm=b²⁴, hm=ab²⁵, im=b²⁶, jm=ab²⁷, km=b²⁸, lm=ab²⁹, m²=b²⁸, b⁹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁸n, gn=ab²⁵, hn=b²⁶, in=ab²⁷, jn=b²⁸, kn=ab²⁹, ln=b²⁸, mn=ab²⁹, n²=b²⁸, b¹⁰o=b²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁸o, go=b⁹o, ho=ab²⁷, io=b²⁸, jo=ab²⁹, ko=b²⁸, lo=ab²⁹, mo=b²⁸, no=ab²⁹, o²=b²⁸, b¹¹p=ab²⁹, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁸p, gp=b⁹p, hp=ab¹⁰p, ip=ab²⁹, jp=b²⁸, kp=ab²⁹, lp=b²⁸, mp=ab²⁹, np=b²⁸, op=ab²⁹, p²=b²⁸, b¹¹q=ab¹⁰p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁸q, gq=b⁹q, hq=ab¹⁰q, iq=ab¹⁰p, jq=ab²⁹, kq=b²⁸, lq=ab²⁹, mq=b²⁸, nq=ab²⁹, oq=b²⁸, pq=ab²⁹, q²=b²⁸, b¹⁰r=ab⁹q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁸r, gr=b⁹r, hr=b⁹q, ir=ab¹⁰q, jr=ab¹⁰p, kr=ab²⁹, lr=b²⁸, mr=ab²⁹, nr=b²⁸, or=ab²⁹, pr=b²⁸, qr=ab²⁹, r²=b²⁸, b⁹s=ab⁸r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=ab⁸s, gs=ab⁸r, hs=b⁹r, is=b⁹q, js=ab¹⁰q, ks=ab¹⁰p, ls=ab²⁹, ms=b²⁸, ns=ab²⁹, os=b²⁸, ps=ab²⁹, qs=b²⁸, rs=ab²⁹, s²=b²⁸, b⁸t=ab⁷s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=b⁷s, gt=ab⁸s, ht=ab⁸r, it=b⁹r, jt=b⁹q, kt=ab¹⁰q, lt=ab¹⁰p, mt=ab²⁹, nt=b²⁸, ot=ab²⁹, pt=b²⁸, qt=ab²⁹, rt=b²⁸, st=ab²⁹, t²=b²⁸, b⁷u=ab⁶t, cu=ab²u, du=ab⁴u, eu=ab⁶u, fu=b⁷t, gu=b⁷s, hu=ab⁸s, iu=ab⁸r, ju=b⁹r, ku=b⁹q, lu=ab¹⁰q, mu=ab¹⁰p, nu=ab²⁹, ou=b²⁸, pu=ab²⁹, qu=b²⁸, ru=ab²⁹, su=b²⁸, tu=ab²⁹, u²=b²⁸, b⁶v=ab⁵u, cv=ab²v, dv=ab⁴v, ev=b⁵u, fv=ab⁶t, gv=b⁷t, hv=b⁷s, iv=ab⁸s, jv=ab⁸r, kv=b⁹r, lv=b⁹q, mv=ab¹⁰q, nv=ab¹⁰p, ov=ab²⁹, pv=b²⁸, qv=ab²⁹, rv=b²⁸, sv=ab²⁹, tv=b²⁸, uv=ab²⁹, v²=b²⁸, b⁵w=ab⁴v, cw=ab²w, dw=ab⁴w, ew=b⁵v, fw=ab⁶u, gw=ab⁶t, hw=b⁷t, iw=b⁷s, jw=ab⁸s, kw=ab⁸r, lw=b⁹r, mw=b⁹q, nw=ab¹⁰q, ow=ab¹⁰p, pw=ab²⁹, qw=b²⁸, rw=ab²⁹, sw=b²⁸, tw=ab²⁹, uw=b²⁸, vw=ab²⁹, w²=b²⁸, b⁴x=ab³w, cx=ab²x, dx=b³w, ex=ab⁴v, fx=b⁵u, gx=ab⁶u, hx=ab⁶t, ix=b⁷t, jx=b⁷s, kx=ab⁸s, lx=ab⁸r, mx=b⁹r, nx=b⁹q, ox=ab¹⁰q, px=ab¹⁰p, qx=ab²⁹, rx=b²⁸, sx=ab²⁹, tx=b²⁸, ux=ab²⁹, vx=b²⁸, wx=ab²⁹, x²=b²⁸, b³y=ab²x, cy=ab²y, dy=b³x, ey=ab⁴w, fy=b⁵v, gy=b⁵u, hy=ab⁶u, iy=ab⁶t, jy=b⁷t, ky=b⁷s, ly=ab⁸s, my=ab⁸r, ny=b⁹r, oy=b⁹q, py=ab¹⁰q, qy=ab¹⁰p, ry=ab²⁹, sy=b²⁸, ty=ab²⁹, uy=b²⁸, vy=ab²⁹, wy=b²⁸, xy=ab²⁹, y²=b²⁸, b²z=aby, cz=by, dz=ab²x, ez=b³w, fz=ab⁴v, gz=b⁵v, hz=b⁵u, iz=ab⁶u, jz=ab⁶t, kz=b⁷t, lz=b⁷s, mz=ab⁸s, nz=ab⁸r, oz=b⁹r, pz=b⁹q, qz=ab¹⁰q, rz=ab¹⁰p, sz=ab²⁹, tz=b²⁸, uz=ab²⁹, vz=b²⁸, wz=ab²⁹, xz=b²⁸, yz=ab²⁹, z²=b²⁸, bA=az, cA=bz, dA=ab²y, eA=b³x, fA=ab⁴w, gA=ab⁴v, hA=b⁵v, iA=b⁵u, jA=ab⁶u, kA=ab⁶t, lA=b⁷t, mA=b⁷s, nA=ab⁸s, oA=ab⁸r, pA=b⁹r, qA=b⁹q, rA=ab¹⁰q, sA=ab¹⁰p, tA=ab²⁹, uA=b²⁸, vA=ab²⁹, wA=b²⁸, xA=ab²⁹, yA=b²⁸, zA=ab²⁹, A²=b²⁸, bB=aA, cB=az, dB=by, eB=ab²x, fB=b³w, gB=ab⁴w, hB=ab⁴v, iB=b⁵v, jB=b⁵u, kB=ab⁶u, lB=ab⁶t, mB=b⁷t, nB=b⁷s, oB=ab⁸s, pB=ab⁸r, qB=b⁹r, rB=b⁹q, sB=ab¹⁰q, tB=ab¹⁰p, uB=ab²⁹, vB=b²⁸, wB=ab²⁹, xB=b²⁸, yB=ab²⁹, zB=b²⁸, AB=ab²⁹, B²=b²⁸, bC=aB, cC=aA, dC=bz, eC=ab²y, fC=b³x, gC=b³w, hC=ab⁴w, iC=ab⁴v, jC=b⁵v, kC=b⁵u, lC=ab⁶u, mC=ab⁶t, nC=b⁷t, oC=b⁷s, pC=ab⁸s, qC=ab⁸r, rC=b⁹r, sC=b⁹q, tC=ab¹⁰q, uC=ab¹⁰p, vC=ab²⁹, wC=b²⁸, xC=ab²⁹, yC=b²⁸, zC=ab²⁹, AC=b²⁸, BC=ab²⁹, C²=b²⁸, bD=aC, cD=aB, dD=az, eD=by, fD=ab²x, gD=b³x, hD=b³w, iD=ab⁴w, jD=ab⁴v, kD=b⁵v, lD=b⁵u, mD=ab⁶u, nD=ab⁶t, oD=b⁷t, pD=b⁷s, qD=ab⁸s, rD=ab⁸r, sD=b⁹r, tD=b⁹q, uD=ab¹⁰q, vD=ab¹⁰p, wD=ab²⁹, xD=b²⁸, yD=ab²⁹, zD=b²⁸, AD=ab²⁹, BD=b²⁸, CD=ab²⁹, D²=b²⁸, bE=aD, cE=aC, dE=aA, eE=bz, fE=ab²y, gE=ab²x, hE=b³x, iE=b³w, jE=ab⁴w, kE=ab⁴v, lE=b⁵v, mE=b⁵u, nE=ab⁶u, oE=ab⁶t, pE=b⁷t, qE=b⁷s, rE=ab⁸s, sE=ab⁸r, tE=b⁹r, uE=b⁹q, vE=ab¹⁰q, wE=ab¹⁰p, xE=ab²⁹, yE=b²⁸, zE=ab²⁹, AE=b²⁸, BE=ab²⁹, CE=b²⁸, DE=ab²⁹, E²=b²⁸, bF=aE, cF=aD, dF=aB, eF=az, fF=by, gF=ab²y, hF=ab²x, iF=b³x, jF=b³w, kF=ab⁴w, lF=ab⁴v, mF=b⁵v, nF=b⁵u, oF=ab⁶u, pF=ab⁶t, qF=b⁷t, rF=b⁷s, sF=ab⁸s, tF=ab⁸r, uF=b⁹r, vF=b⁹q, wF=ab¹⁰q, xF=ab¹⁰p, yF=ab²⁹, zF=b²⁸, AF=ab²⁹, BF=b²⁸, CF=ab²⁹, DF=b²⁸, EF=ab²⁹, F²=b²⁸, bG=aF, cG=aE, dG=aC, eG=aA, fG=bz, gG=by, hG=ab²y, iG=ab²x, jG=b³x, kG=b³w, lG=ab⁴w, mG=ab⁴v, nG=b⁵v, oG=b⁵u, pG=ab⁶u, qG=ab⁶t, rG=b⁷t, sG=b⁷s, tG=ab⁸s, uG=ab⁸r, vG=b⁹r, wG=b⁹q, xG=ab¹⁰q, yG=ab¹⁰p, zG=ab²⁹, AG=b²⁸, BG=ab²⁹, CG=b²⁸, DG=ab²⁹, EG=b²⁸, FG=ab²⁹, G²=b²⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, ag, bh, ai, ab²i, bj, b³j, ak, ab²k, ab⁴k, bl, b³l, b⁵l, am, ab²m, ab⁴m, ab⁶m, bn, b³n, b⁵n, b⁷n, ao, ab²o, ab⁴o, ab⁶o, ab⁸o, bp, b³p, b⁵p, b⁷p, b⁹p, aq, ab²q, ab⁴q, ab⁶q, ab⁸q, ab¹⁰q, br, b³r, b⁵r, b⁷r, b⁹r, as, ab²s, ab⁴s, ab⁶s, ab⁸s, bt, b³t, b⁵t, b⁷t, au, ab²u, ab⁴u, ab⁶u, bv, b³v, b⁵v, aw, ab²w, ab⁴w, bx, b³x, ay, ab²y, bz, aA, aC, aE, aG}

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 A B C D E F G

Monoid Structure