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 Q₄₅(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, b³⁵=b³³, 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=ab³³, 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=ab³³, oq=b³⁴, pq=ab³³, 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=ab³³, nr=b³⁴, or=ab³³, pr=b³⁴, qr=ab³³, r²=b³⁴, b¹⁴s=b³³, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=ab⁸s, gs=b⁹s, hs=ab¹⁰s, is=b¹¹s, js=ab¹²s, ks=b¹³s, ls=ab³³, ms=b³⁴, ns=ab³³, os=b³⁴, ps=ab³³, qs=b³⁴, rs=ab³³, s²=b³⁴, b¹³t=ab¹²s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=ab⁸t, gt=b⁹t, ht=ab¹⁰t, it=b¹¹t, jt=ab¹²t, kt=ab¹²s, lt=b¹³s, mt=ab³³, nt=b³⁴, ot=ab³³, pt=b³⁴, qt=ab³³, rt=b³⁴, st=ab³³, t²=b³⁴, b¹²u=ab¹¹t, cu=ab²u, du=ab⁴u, eu=ab⁶u, fu=ab⁸u, gu=b⁹u, hu=ab¹⁰u, iu=b¹¹u, ju=b¹¹t, ku=ab¹²t, lu=ab¹²s, mu=b¹³s, nu=ab³³, ou=b³⁴, pu=ab³³, qu=b³⁴, ru=ab³³, su=b³⁴, tu=ab³³, u²=b³⁴, b¹¹v=ab¹⁰u, cv=ab²v, dv=ab⁴v, ev=ab⁶v, fv=ab⁸v, gv=b⁹v, hv=ab¹⁰v, iv=ab¹⁰u, jv=b¹¹u, kv=b¹¹t, lv=ab¹²t, mv=ab¹²s, nv=b¹³s, ov=ab³³, pv=b³⁴, qv=ab³³, rv=b³⁴, sv=ab³³, tv=b³⁴, uv=ab³³, v²=b³⁴, b¹⁰w=ab⁹v, cw=ab²w, dw=ab⁴w, ew=ab⁶w, fw=ab⁸w, gw=b⁹w, hw=b⁹v, iw=ab¹⁰v, jw=ab¹⁰u, kw=b¹¹u, lw=b¹¹t, mw=ab¹²t, nw=ab¹²s, ow=b¹³s, pw=ab³³, qw=b³⁴, rw=ab³³, sw=b³⁴, tw=ab³³, uw=b³⁴, vw=ab³³, w²=b³⁴, b⁹x=ab⁸w, cx=ab²x, dx=ab⁴x, ex=ab⁶x, fx=ab⁸x, gx=ab⁸w, hx=b⁹w, ix=b⁹v, jx=ab¹⁰v, kx=ab¹⁰u, lx=b¹¹u, mx=b¹¹t, nx=ab¹²t, ox=ab¹²s, px=b¹³s, qx=ab³³, rx=b³⁴, sx=ab³³, tx=b³⁴, ux=ab³³, vx=b³⁴, wx=ab³³, x²=b³⁴, b⁸y=ab⁷x, cy=ab²y, dy=ab⁴y, ey=ab⁶y, fy=b⁷x, gy=ab⁸x, hy=ab⁸w, iy=b⁹w, jy=b⁹v, ky=ab¹⁰v, ly=ab¹⁰u, my=b¹¹u, ny=b¹¹t, oy=ab¹²t, py=ab¹²s, qy=b¹³s, ry=ab³³, sy=b³⁴, ty=ab³³, uy=b³⁴, vy=ab³³, wy=b³⁴, xy=ab³³, y²=b³⁴, b⁷z=ab⁶y, cz=ab²z, dz=ab⁴z, ez=ab⁶z, fz=b⁷y, gz=b⁷x, hz=ab⁸x, iz=ab⁸w, jz=b⁹w, kz=b⁹v, lz=ab¹⁰v, mz=ab¹⁰u, nz=b¹¹u, oz=b¹¹t, pz=ab¹²t, qz=ab¹²s, rz=b¹³s, sz=ab³³, tz=b³⁴, uz=ab³³, vz=b³⁴, wz=ab³³, xz=b³⁴, yz=ab³³, z²=b³⁴, b⁶A=ab⁵z, cA=ab²A, dA=ab⁴A, eA=b⁵z, fA=ab⁶y, gA=b⁷y, hA=b⁷x, iA=ab⁸x, jA=ab⁸w, kA=b⁹w, lA=b⁹v, mA=ab¹⁰v, nA=ab¹⁰u, oA=b¹¹u, pA=b¹¹t, qA=ab¹²t, rA=ab¹²s, sA=b¹³s, tA=ab³³, uA=b³⁴, vA=ab³³, wA=b³⁴, xA=ab³³, yA=b³⁴, zA=ab³³, A²=b³⁴, b⁵B=ab⁴A, cB=ab²B, dB=ab⁴B, eB=b⁵A, fB=ab⁶z, gB=ab⁶y, hB=b⁷y, iB=b⁷x, jB=ab⁸x, kB=ab⁸w, lB=b⁹w, mB=b⁹v, nB=ab¹⁰v, oB=ab¹⁰u, pB=b¹¹u, qB=b¹¹t, rB=ab¹²t, sB=ab¹²s, tB=b¹³s, uB=ab³³, vB=b³⁴, wB=ab³³, xB=b³⁴, yB=ab³³, zB=b³⁴, AB=ab³³, B²=b³⁴, b⁴C=ab³B, cC=ab²C, dC=b³B, eC=ab⁴A, fC=b⁵z, gC=ab⁶z, hC=ab⁶y, iC=b⁷y, jC=b⁷x, kC=ab⁸x, lC=ab⁸w, mC=b⁹w, nC=b⁹v, oC=ab¹⁰v, pC=ab¹⁰u, qC=b¹¹u, rC=b¹¹t, sC=ab¹²t, tC=ab¹²s, uC=b¹³s, vC=ab³³, wC=b³⁴, xC=ab³³, yC=b³⁴, zC=ab³³, AC=b³⁴, BC=ab³³, C²=b³⁴, b³D=ab²C, cD=ab²D, dD=b³C, eD=ab⁴B, fD=b⁵A, gD=b⁵z, hD=ab⁶z, iD=ab⁶y, jD=b⁷y, kD=b⁷x, lD=ab⁸x, mD=ab⁸w, nD=b⁹w, oD=b⁹v, pD=ab¹⁰v, qD=ab¹⁰u, rD=b¹¹u, sD=b¹¹t, tD=ab¹²t, uD=ab¹²s, vD=b¹³s, wD=ab³³, xD=b³⁴, yD=ab³³, zD=b³⁴, AD=ab³³, BD=b³⁴, CD=ab³³, D²=b³⁴, b²E=abD, cE=bD, dE=ab²C, eE=b³B, fE=ab⁴A, gE=b⁵A, hE=b⁵z, iE=ab⁶z, jE=ab⁶y, kE=b⁷y, lE=b⁷x, mE=ab⁸x, nE=ab⁸w, oE=b⁹w, pE=b⁹v, qE=ab¹⁰v, rE=ab¹⁰u, sE=b¹¹u, tE=b¹¹t, uE=ab¹²t, vE=ab¹²s, wE=b¹³s, xE=ab³³, yE=b³⁴, zE=ab³³, AE=b³⁴, BE=ab³³, CE=b³⁴, DE=ab³³, E²=b³⁴, bF=aE, cF=bE, dF=ab²D, eF=b³C, fF=ab⁴B, gF=ab⁴A, hF=b⁵A, iF=b⁵z, jF=ab⁶z, kF=ab⁶y, lF=b⁷y, mF=b⁷x, nF=ab⁸x, oF=ab⁸w, pF=b⁹w, qF=b⁹v, rF=ab¹⁰v, sF=ab¹⁰u, tF=b¹¹u, uF=b¹¹t, vF=ab¹²t, wF=ab¹²s, xF=b¹³s, yF=ab³³, zF=b³⁴, AF=ab³³, BF=b³⁴, CF=ab³³, DF=b³⁴, EF=ab³³, F²=b³⁴, b⁶G=F, cG=ab²G, dG=ab⁴G, eG=aF, fG=bE, gG=bD, hG=ab²D, iG=ab²C, jG=b³C, kG=b³B, lG=ab⁴B, mG=ab⁴A, nG=b⁵A, oG=b⁵z, pG=ab⁶z, qG=ab⁶y, rG=b⁷y, sG=b⁷x, tG=ab⁸x, uG=ab⁸w, vG=b⁹w, wG=b⁹v, xG=ab¹⁰v, yG=ab¹⁰u, zG=b¹¹u, AG=b¹¹t, BG=ab¹²t, CG=ab¹²s, DG=b¹³s, EG=ab³³, FG=b³⁴, 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, au, ab²u, ab⁴u, ab⁶u, ab⁸u, ab¹⁰u, bv, b³v, b⁵v, b⁷v, b⁹v, aw, ab²w, ab⁴w, ab⁶w, ab⁸w, bx, b³x, b⁵x, b⁷x, ay, ab²y, ab⁴y, ab⁶y, bz, b³z, b⁵z, aA, ab²A, ab⁴A, bB, b³B, aC, ab²C, bD, aE, bG, b³G, b⁵G}

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 ab⁵G b⁴G ab³G b²G abG G

Monoid Structure