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 Q₄₂(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, b³²=b³⁰, 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=b³⁰, b¹⁰o=b²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁸o, go=b⁹o, ho=ab²⁷, io=b²⁸, jo=ab²⁹, ko=b³⁰, lo=ab³¹, mo=b³⁰, no=ab³¹, o²=b³⁰, b¹¹p=ab²⁹, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁸p, gp=b⁹p, hp=ab¹⁰p, ip=ab²⁹, jp=b³⁰, kp=ab³¹, lp=b³⁰, mp=ab³¹, np=b³⁰, op=ab³¹, p²=b³⁰, b¹²q=b³¹, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁸q, gq=b⁹q, hq=ab¹⁰q, iq=b¹¹q, jq=ab³¹, kq=b³⁰, lq=ab³¹, mq=b³⁰, nq=ab³¹, oq=b³⁰, pq=ab³¹, q²=b³⁰, b¹²r=ab¹¹q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁸r, gr=b⁹r, hr=ab¹⁰r, ir=b¹¹r, jr=b¹¹q, kr=ab³¹, lr=b³⁰, mr=ab³¹, nr=b³⁰, or=ab³¹, pr=b³⁰, qr=ab³¹, r²=b³⁰, b¹¹s=ab¹⁰r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=ab⁸s, gs=b⁹s, hs=ab¹⁰s, is=ab¹⁰r, js=b¹¹r, ks=b¹¹q, ls=ab³¹, ms=b³⁰, ns=ab³¹, os=b³⁰, ps=ab³¹, qs=b³⁰, rs=ab³¹, s²=b³⁰, b¹⁰t=ab⁹s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=ab⁸t, gt=b⁹t, ht=b⁹s, it=ab¹⁰s, jt=ab¹⁰r, kt=b¹¹r, lt=b¹¹q, mt=ab³¹, nt=b³⁰, ot=ab³¹, pt=b³⁰, qt=ab³¹, rt=b³⁰, st=ab³¹, t²=b³⁰, b⁹u=ab⁸t, cu=ab²u, du=ab⁴u, eu=ab⁶u, fu=ab⁸u, gu=ab⁸t, hu=b⁹t, iu=b⁹s, ju=ab¹⁰s, ku=ab¹⁰r, lu=b¹¹r, mu=b¹¹q, nu=ab³¹, ou=b³⁰, pu=ab³¹, qu=b³⁰, ru=ab³¹, su=b³⁰, tu=ab³¹, u²=b³⁰, b⁸v=ab⁷u, cv=ab²v, dv=ab⁴v, ev=ab⁶v, fv=b⁷u, gv=ab⁸u, hv=ab⁸t, iv=b⁹t, jv=b⁹s, kv=ab¹⁰s, lv=ab¹⁰r, mv=b¹¹r, nv=b¹¹q, ov=ab³¹, pv=b³⁰, qv=ab³¹, rv=b³⁰, sv=ab³¹, tv=b³⁰, uv=ab³¹, v²=b³⁰, b⁷w=ab⁶v, cw=ab²w, dw=ab⁴w, ew=ab⁶w, fw=b⁷v, gw=b⁷u, hw=ab⁸u, iw=ab⁸t, jw=b⁹t, kw=b⁹s, lw=ab¹⁰s, mw=ab¹⁰r, nw=b¹¹r, ow=b¹¹q, pw=ab³¹, qw=b³⁰, rw=ab³¹, sw=b³⁰, tw=ab³¹, uw=b³⁰, vw=ab³¹, w²=b³⁰, b⁶x=ab⁵w, cx=ab²x, dx=ab⁴x, ex=b⁵w, fx=ab⁶v, gx=b⁷v, hx=b⁷u, ix=ab⁸u, jx=ab⁸t, kx=b⁹t, lx=b⁹s, mx=ab¹⁰s, nx=ab¹⁰r, ox=b¹¹r, px=b¹¹q, qx=ab³¹, rx=b³⁰, sx=ab³¹, tx=b³⁰, ux=ab³¹, vx=b³⁰, wx=ab³¹, x²=b³⁰, b⁵y=ab⁴x, cy=ab²y, dy=ab⁴y, ey=b⁵x, fy=ab⁶w, gy=ab⁶v, hy=b⁷v, iy=b⁷u, jy=ab⁸u, ky=ab⁸t, ly=b⁹t, my=b⁹s, ny=ab¹⁰s, oy=ab¹⁰r, py=b¹¹r, qy=b¹¹q, ry=ab³¹, sy=b³⁰, ty=ab³¹, uy=b³⁰, vy=ab³¹, wy=b³⁰, xy=ab³¹, y²=b³⁰, b⁴z=ab³y, cz=ab²z, dz=b³y, ez=ab⁴x, fz=b⁵w, gz=ab⁶w, hz=ab⁶v, iz=b⁷v, jz=b⁷u, kz=ab⁸u, lz=ab⁸t, mz=b⁹t, nz=b⁹s, oz=ab¹⁰s, pz=ab¹⁰r, qz=b¹¹r, rz=b¹¹q, sz=ab³¹, tz=b³⁰, uz=ab³¹, vz=b³⁰, wz=ab³¹, xz=b³⁰, yz=ab³¹, z²=b³⁰, b³A=ab²z, cA=ab²A, dA=b³z, eA=ab⁴y, fA=b⁵x, gA=b⁵w, hA=ab⁶w, iA=ab⁶v, jA=b⁷v, kA=b⁷u, lA=ab⁸u, mA=ab⁸t, nA=b⁹t, oA=b⁹s, pA=ab¹⁰s, qA=ab¹⁰r, rA=b¹¹r, sA=b¹¹q, tA=ab³¹, uA=b³⁰, vA=ab³¹, wA=b³⁰, xA=ab³¹, yA=b³⁰, zA=ab³¹, A²=b³⁰, b²B=abA, cB=bA, dB=ab²z, eB=b³y, fB=ab⁴x, gB=b⁵x, hB=b⁵w, iB=ab⁶w, jB=ab⁶v, kB=b⁷v, lB=b⁷u, mB=ab⁸u, nB=ab⁸t, oB=b⁹t, pB=b⁹s, qB=ab¹⁰s, rB=ab¹⁰r, sB=b¹¹r, tB=b¹¹q, uB=ab³¹, vB=b³⁰, wB=ab³¹, xB=b³⁰, yB=ab³¹, zB=b³⁰, AB=ab³¹, B²=b³⁰, bC=aB, cC=bB, dC=ab²A, eC=b³z, fC=ab⁴y, gC=ab⁴x, hC=b⁵x, iC=b⁵w, jC=ab⁶w, kC=ab⁶v, lC=b⁷v, mC=b⁷u, nC=ab⁸u, oC=ab⁸t, pC=b⁹t, qC=b⁹s, rC=ab¹⁰s, sC=ab¹⁰r, tC=b¹¹r, uC=b¹¹q, vC=ab³¹, wC=b³⁰, xC=ab³¹, yC=b³⁰, zC=ab³¹, AC=b³⁰, BC=ab³¹, C²=b³⁰, bD=aC, cD=aB, dD=bA, eD=ab²z, fD=b³y, gD=ab⁴y, hD=ab⁴x, iD=b⁵x, jD=b⁵w, kD=ab⁶w, lD=ab⁶v, mD=b⁷v, nD=b⁷u, oD=ab⁸u, pD=ab⁸t, qD=b⁹t, rD=b⁹s, sD=ab¹⁰s, tD=ab¹⁰r, uD=b¹¹r, vD=b¹¹q, wD=ab³¹, xD=b³⁰, yD=ab³¹, zD=b³⁰, AD=ab³¹, BD=b³⁰, CD=ab³¹, D²=b³⁰, bE=aD, cE=aC, dE=bB, eE=ab²A, fE=b³z, gE=b³y, hE=ab⁴y, iE=ab⁴x, jE=b⁵x, kE=b⁵w, lE=ab⁶w, mE=ab⁶v, nE=b⁷v, oE=b⁷u, pE=ab⁸u, qE=ab⁸t, rE=b⁹t, sE=b⁹s, tE=ab¹⁰s, uE=ab¹⁰r, vE=b¹¹r, wE=b¹¹q, xE=ab³¹, yE=b³⁰, zE=ab³¹, AE=b³⁰, BE=ab³¹, CE=b³⁰, DE=ab³¹, E²=b³⁰, bF=aE, cF=aD, dF=aB, eF=bA, fF=ab²z, gF=b³z, hF=b³y, iF=ab⁴y, jF=ab⁴x, kF=b⁵x, lF=b⁵w, mF=ab⁶w, nF=ab⁶v, oF=b⁷v, pF=b⁷u, qF=ab⁸u, rF=ab⁸t, sF=b⁹t, tF=b⁹s, uF=ab¹⁰s, vF=ab¹⁰r, wF=b¹¹r, xF=b¹¹q, yF=ab³¹, zF=b³⁰, AF=ab³¹, BF=b³⁰, CF=ab³¹, DF=b³⁰, EF=ab³¹, F²=b³⁰, b³G=aF, cG=ab²G, dG=aE, eG=aC, fG=bB, gG=bA, hG=ab²A, iG=ab²z, jG=b³z, kG=b³y, lG=ab⁴y, mG=ab⁴x, nG=b⁵x, oG=b⁵w, pG=ab⁶w, qG=ab⁶v, rG=b⁷v, sG=b⁷u, tG=ab⁸u, uG=ab⁸t, vG=b⁹t, wG=b⁹s, xG=ab¹⁰s, yG=ab¹⁰r, zG=b¹¹r, AG=b¹¹q, BG=ab³¹, CG=b³⁰, DG=ab³¹, EG=b³⁰, FG=ab³¹, G²=b³⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, b³⁰, 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, bt, b³t, b⁵t, b⁷t, b⁹t, au, ab²u, ab⁴u, ab⁶u, ab⁸u, bv, b³v, b⁵v, b⁷v, aw, ab²w, ab⁴w, ab⁶w, bx, b³x, b⁵x, ay, ab²y, ab⁴y, bz, b³z, aA, ab²A, bB, aC, aE, aG, ab²G}

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 b²G abG G

Monoid Structure