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 Q₄₆(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, b³⁶=b³⁴, 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=b³⁰, b⁹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁸n, gn=ab²⁵, hn=b²⁶, in=ab²⁷, jn=b²⁸, kn=ab²⁹, ln=b³⁰, mn=ab³¹, n²=b³², b¹⁰o=b²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁸o, go=b⁹o, ho=ab²⁷, io=b²⁸, jo=ab²⁹, ko=b³⁰, lo=ab³¹, mo=b³², no=ab³³, o²=b³⁴, b¹¹p=ab²⁹, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁸p, gp=b⁹p, hp=ab¹⁰p, ip=ab²⁹, jp=b³⁰, kp=ab³¹, lp=b³², mp=ab³³, np=b³⁴, op=ab³⁵, p²=b³⁴, b¹²q=b³¹, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁸q, gq=b⁹q, hq=ab¹⁰q, iq=b¹¹q, jq=ab³¹, kq=b³², lq=ab³³, mq=b³⁴, nq=ab³⁵, oq=b³⁴, pq=ab³⁵, q²=b³⁴, b¹³r=ab³³, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁸r, gr=b⁹r, hr=ab¹⁰r, ir=b¹¹r, jr=ab¹²r, kr=ab³³, lr=b³⁴, mr=ab³⁵, nr=b³⁴, or=ab³⁵, pr=b³⁴, qr=ab³⁵, r²=b³⁴, b¹⁴s=b³⁵, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=ab⁸s, gs=b⁹s, hs=ab¹⁰s, is=b¹¹s, js=ab¹²s, ks=b¹³s, ls=ab³⁵, ms=b³⁴, ns=ab³⁵, os=b³⁴, ps=ab³⁵, qs=b³⁴, rs=ab³⁵, s²=b³⁴, b¹⁴t=ab¹³s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=ab⁸t, gt=b⁹t, ht=ab¹⁰t, it=b¹¹t, jt=ab¹²t, kt=b¹³t, lt=b¹³s, mt=ab³⁵, nt=b³⁴, ot=ab³⁵, pt=b³⁴, qt=ab³⁵, rt=b³⁴, st=ab³⁵, t²=b³⁴, b¹³u=ab¹²t, cu=ab²u, du=ab⁴u, eu=ab⁶u, fu=ab⁸u, gu=b⁹u, hu=ab¹⁰u, iu=b¹¹u, ju=ab¹²u, ku=ab¹²t, lu=b¹³t, mu=b¹³s, nu=ab³⁵, ou=b³⁴, pu=ab³⁵, qu=b³⁴, ru=ab³⁵, su=b³⁴, tu=ab³⁵, u²=b³⁴, b¹²v=ab¹¹u, cv=ab²v, dv=ab⁴v, ev=ab⁶v, fv=ab⁸v, gv=b⁹v, hv=ab¹⁰v, iv=b¹¹v, jv=b¹¹u, kv=ab¹²u, lv=ab¹²t, mv=b¹³t, nv=b¹³s, ov=ab³⁵, pv=b³⁴, qv=ab³⁵, rv=b³⁴, sv=ab³⁵, tv=b³⁴, uv=ab³⁵, v²=b³⁴, b¹¹w=ab¹⁰v, cw=ab²w, dw=ab⁴w, ew=ab⁶w, fw=ab⁸w, gw=b⁹w, hw=ab¹⁰w, iw=ab¹⁰v, jw=b¹¹v, kw=b¹¹u, lw=ab¹²u, mw=ab¹²t, nw=b¹³t, ow=b¹³s, pw=ab³⁵, qw=b³⁴, rw=ab³⁵, sw=b³⁴, tw=ab³⁵, uw=b³⁴, vw=ab³⁵, w²=b³⁴, b¹⁰x=ab⁹w, cx=ab²x, dx=ab⁴x, ex=ab⁶x, fx=ab⁸x, gx=b⁹x, hx=b⁹w, ix=ab¹⁰w, jx=ab¹⁰v, kx=b¹¹v, lx=b¹¹u, mx=ab¹²u, nx=ab¹²t, ox=b¹³t, px=b¹³s, qx=ab³⁵, rx=b³⁴, sx=ab³⁵, tx=b³⁴, ux=ab³⁵, vx=b³⁴, wx=ab³⁵, x²=b³⁴, b⁹y=ab⁸x, cy=ab²y, dy=ab⁴y, ey=ab⁶y, fy=ab⁸y, gy=ab⁸x, hy=b⁹x, iy=b⁹w, jy=ab¹⁰w, ky=ab¹⁰v, ly=b¹¹v, my=b¹¹u, ny=ab¹²u, oy=ab¹²t, py=b¹³t, qy=b¹³s, ry=ab³⁵, sy=b³⁴, ty=ab³⁵, uy=b³⁴, vy=ab³⁵, wy=b³⁴, xy=ab³⁵, y²=b³⁴, b⁸z=ab⁷y, cz=ab²z, dz=ab⁴z, ez=ab⁶z, fz=b⁷y, gz=ab⁸y, hz=ab⁸x, iz=b⁹x, jz=b⁹w, kz=ab¹⁰w, lz=ab¹⁰v, mz=b¹¹v, nz=b¹¹u, oz=ab¹²u, pz=ab¹²t, qz=b¹³t, rz=b¹³s, sz=ab³⁵, tz=b³⁴, uz=ab³⁵, vz=b³⁴, wz=ab³⁵, xz=b³⁴, yz=ab³⁵, z²=b³⁴, b⁷A=ab⁶z, cA=ab²A, dA=ab⁴A, eA=ab⁶A, fA=b⁷z, gA=b⁷y, hA=ab⁸y, iA=ab⁸x, jA=b⁹x, kA=b⁹w, lA=ab¹⁰w, mA=ab¹⁰v, nA=b¹¹v, oA=b¹¹u, pA=ab¹²u, qA=ab¹²t, rA=b¹³t, sA=b¹³s, tA=ab³⁵, uA=b³⁴, vA=ab³⁵, wA=b³⁴, xA=ab³⁵, yA=b³⁴, zA=ab³⁵, A²=b³⁴, b⁶B=ab⁵A, cB=ab²B, dB=ab⁴B, eB=b⁵A, fB=ab⁶z, gB=b⁷z, hB=b⁷y, iB=ab⁸y, jB=ab⁸x, kB=b⁹x, lB=b⁹w, mB=ab¹⁰w, nB=ab¹⁰v, oB=b¹¹v, pB=b¹¹u, qB=ab¹²u, rB=ab¹²t, sB=b¹³t, tB=b¹³s, uB=ab³⁵, vB=b³⁴, wB=ab³⁵, xB=b³⁴, yB=ab³⁵, zB=b³⁴, AB=ab³⁵, B²=b³⁴, b⁵C=ab⁴B, cC=ab²C, dC=ab⁴C, eC=b⁵B, fC=ab⁶A, gC=ab⁶z, hC=b⁷z, iC=b⁷y, jC=ab⁸y, kC=ab⁸x, lC=b⁹x, mC=b⁹w, nC=ab¹⁰w, oC=ab¹⁰v, pC=b¹¹v, qC=b¹¹u, rC=ab¹²u, sC=ab¹²t, tC=b¹³t, uC=b¹³s, vC=ab³⁵, wC=b³⁴, xC=ab³⁵, yC=b³⁴, zC=ab³⁵, AC=b³⁴, BC=ab³⁵, C²=b³⁴, b⁴D=ab³C, cD=ab²D, dD=b³C, eD=ab⁴B, fD=b⁵A, gD=ab⁶A, hD=ab⁶z, iD=b⁷z, jD=b⁷y, kD=ab⁸y, lD=ab⁸x, mD=b⁹x, nD=b⁹w, oD=ab¹⁰w, pD=ab¹⁰v, qD=b¹¹v, rD=b¹¹u, sD=ab¹²u, tD=ab¹²t, uD=b¹³t, vD=b¹³s, wD=ab³⁵, xD=b³⁴, yD=ab³⁵, zD=b³⁴, AD=ab³⁵, BD=b³⁴, CD=ab³⁵, D²=b³⁴, b³E=ab²D, cE=ab²E, dE=b³D, eE=ab⁴C, fE=b⁵B, gE=b⁵A, hE=ab⁶A, iE=ab⁶z, jE=b⁷z, kE=b⁷y, lE=ab⁸y, mE=ab⁸x, nE=b⁹x, oE=b⁹w, pE=ab¹⁰w, qE=ab¹⁰v, rE=b¹¹v, sE=b¹¹u, tE=ab¹²u, uE=ab¹²t, vE=b¹³t, wE=b¹³s, xE=ab³⁵, yE=b³⁴, zE=ab³⁵, AE=b³⁴, BE=ab³⁵, CE=b³⁴, DE=ab³⁵, E²=b³⁴, b²F=abE, cF=bE, dF=ab²D, eF=b³C, fF=ab⁴B, gF=b⁵B, hF=b⁵A, iF=ab⁶A, jF=ab⁶z, kF=b⁷z, lF=b⁷y, mF=ab⁸y, nF=ab⁸x, oF=b⁹x, pF=b⁹w, qF=ab¹⁰w, rF=ab¹⁰v, sF=b¹¹v, tF=b¹¹u, uF=ab¹²u, vF=ab¹²t, wF=b¹³t, xF=b¹³s, yF=ab³⁵, zF=b³⁴, AF=ab³⁵, BF=b³⁴, CF=ab³⁵, DF=b³⁴, EF=ab³⁵, F²=b³⁴, b⁷G=aF, cG=ab²G, dG=ab⁴G, eG=ab⁶G, fG=bF, gG=bE, hG=ab²E, iG=ab²D, jG=b³D, kG=b³C, lG=ab⁴C, mG=ab⁴B, nG=b⁵B, oG=b⁵A, pG=ab⁶A, qG=ab⁶z, rG=b⁷z, sG=b⁷y, tG=ab⁸y, uG=ab⁸x, vG=b⁹x, wG=b⁹w, xG=ab¹⁰w, yG=ab¹⁰v, zG=b¹¹v, AG=b¹¹u, BG=ab¹²u, CG=ab¹²t, DG=b¹³t, EG=b¹³s, FG=ab³⁵, G²=b³⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, b³⁰, b³², b³⁴, 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, b¹¹r, as, ab²s, ab⁴s, ab⁶s, ab⁸s, ab¹⁰s, ab¹²s, bt, b³t, b⁵t, b⁷t, b⁹t, b¹¹t, b¹³t, au, ab²u, ab⁴u, ab⁶u, ab⁸u, ab¹⁰u, ab¹²u, bv, b³v, b⁵v, b⁷v, b⁹v, b¹¹v, aw, ab²w, ab⁴w, ab⁶w, ab⁸w, ab¹⁰w, bx, b³x, b⁵x, b⁷x, b⁹x, ay, ab²y, ab⁴y, ab⁶y, ab⁸y, bz, b³z, b⁵z, b⁷z, aA, ab²A, ab⁴A, ab⁶A, bB, b³B, b⁵B, aC, ab²C, ab⁴C, bD, b³D, aE, ab²E, bF, aG, ab²G, ab⁴G, ab⁶G}

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 b⁶G ab⁵G b⁴G ab³G b²G abG G

Monoid Structure