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 Q₃₇(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,G | a²=1, b³¹=b²⁹, 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=b³⁰, b¹¹o=ab²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=b⁷o, go=ab⁸o, ho=b⁹o, io=ab¹⁰o, jo=ab²⁷, ko=b²⁸, lo=ab²⁹, mo=b³⁰, no=ab²⁹, o²=b³⁰, b¹²p=b²⁹, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=b⁷p, gp=ab⁸p, hp=b⁹p, ip=ab¹⁰p, jp=b¹¹p, kp=ab²⁹, lp=b³⁰, mp=ab²⁹, np=b³⁰, op=ab²⁹, p²=b³⁰, b¹³q=ab²⁹, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=b⁷q, gq=ab⁸q, hq=b⁹q, iq=ab¹⁰q, jq=b¹¹q, kq=ab¹²q, lq=ab²⁹, mq=b³⁰, nq=ab²⁹, oq=b³⁰, pq=ab²⁹, q²=b³⁰, b¹²r=ab¹¹q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=b⁷r, gr=ab⁸r, hr=b⁹r, ir=ab¹⁰r, jr=b¹¹r, kr=b¹¹q, lr=ab¹²q, mr=ab²⁹, nr=b³⁰, or=ab²⁹, pr=b³⁰, qr=ab²⁹, r²=b³⁰, b¹¹s=ab¹⁰r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=b⁷s, gs=ab⁸s, hs=b⁹s, is=ab¹⁰s, js=ab¹⁰r, ks=b¹¹r, ls=b¹¹q, ms=ab¹²q, ns=ab²⁹, os=b³⁰, ps=ab²⁹, qs=b³⁰, rs=ab²⁹, s²=b³⁰, b¹⁰t=ab⁹s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=b⁷t, gt=ab⁸t, ht=b⁹t, it=b⁹s, jt=ab¹⁰s, kt=ab¹⁰r, lt=b¹¹r, mt=b¹¹q, nt=ab¹²q, ot=ab²⁹, pt=b³⁰, qt=ab²⁹, rt=b³⁰, st=ab²⁹, t²=b³⁰, b⁹u=ab⁸t, cu=ab²u, du=ab⁴u, eu=ab⁶u, fu=b⁷u, gu=ab⁸u, hu=ab⁸t, iu=b⁹t, ju=b⁹s, ku=ab¹⁰s, lu=ab¹⁰r, mu=b¹¹r, nu=b¹¹q, ou=ab¹²q, pu=ab²⁹, qu=b³⁰, ru=ab²⁹, su=b³⁰, tu=ab²⁹, u²=b³⁰, b⁸v=ab⁷u, cv=ab²v, dv=ab⁴v, ev=ab⁶v, fv=b⁷v, gv=b⁷u, hv=ab⁸u, iv=ab⁸t, jv=b⁹t, kv=b⁹s, lv=ab¹⁰s, mv=ab¹⁰r, nv=b¹¹r, ov=b¹¹q, pv=ab¹²q, qv=ab²⁹, rv=b³⁰, sv=ab²⁹, tv=b³⁰, uv=ab²⁹, v²=b³⁰, b⁷w=ab⁶v, cw=ab²w, dw=ab⁴w, ew=ab⁶w, fw=ab⁶v, gw=b⁷v, hw=b⁷u, iw=ab⁸u, jw=ab⁸t, kw=b⁹t, lw=b⁹s, mw=ab¹⁰s, nw=ab¹⁰r, ow=b¹¹r, pw=b¹¹q, qw=ab¹²q, rw=ab²⁹, sw=b³⁰, tw=ab²⁹, uw=b³⁰, vw=ab²⁹, w²=b³⁰, b⁶x=ab⁵w, cx=ab²x, dx=ab⁴x, ex=b⁵w, fx=ab⁶w, gx=ab⁶v, hx=b⁷v, ix=b⁷u, jx=ab⁸u, kx=ab⁸t, lx=b⁹t, mx=b⁹s, nx=ab¹⁰s, ox=ab¹⁰r, px=b¹¹r, qx=b¹¹q, rx=ab¹²q, sx=ab²⁹, tx=b³⁰, ux=ab²⁹, vx=b³⁰, wx=ab²⁹, x²=b³⁰, b⁵y=ab⁴x, cy=ab²y, dy=ab⁴y, ey=b⁵x, fy=b⁵w, gy=ab⁶w, hy=ab⁶v, iy=b⁷v, jy=b⁷u, ky=ab⁸u, ly=ab⁸t, my=b⁹t, ny=b⁹s, oy=ab¹⁰s, py=ab¹⁰r, qy=b¹¹r, ry=b¹¹q, sy=ab¹²q, ty=ab²⁹, uy=b³⁰, vy=ab²⁹, wy=b³⁰, xy=ab²⁹, y²=b³⁰, b⁴z=ab³y, cz=ab²z, dz=b³y, ez=ab⁴x, fz=b⁵x, gz=b⁵w, hz=ab⁶w, iz=ab⁶v, jz=b⁷v, kz=b⁷u, lz=ab⁸u, mz=ab⁸t, nz=b⁹t, oz=b⁹s, pz=ab¹⁰s, qz=ab¹⁰r, rz=b¹¹r, sz=b¹¹q, tz=ab¹²q, uz=ab²⁹, vz=b³⁰, wz=ab²⁹, xz=b³⁰, yz=ab²⁹, z²=b³⁰, b³A=ab²z, cA=ab²A, dA=b³z, eA=ab⁴y, fA=ab⁴x, gA=b⁵x, hA=b⁵w, iA=ab⁶w, jA=ab⁶v, kA=b⁷v, lA=b⁷u, mA=ab⁸u, nA=ab⁸t, oA=b⁹t, pA=b⁹s, qA=ab¹⁰s, rA=ab¹⁰r, sA=b¹¹r, tA=b¹¹q, uA=ab¹²q, vA=ab²⁹, wA=b³⁰, xA=ab²⁹, yA=b³⁰, zA=ab²⁹, A²=b³⁰, b²B=abA, cB=bA, dB=ab²z, eB=b³y, fB=ab⁴y, gB=ab⁴x, hB=b⁵x, iB=b⁵w, jB=ab⁶w, kB=ab⁶v, lB=b⁷v, mB=b⁷u, nB=ab⁸u, oB=ab⁸t, pB=b⁹t, qB=b⁹s, rB=ab¹⁰s, sB=ab¹⁰r, tB=b¹¹r, uB=b¹¹q, vB=ab¹²q, wB=ab²⁹, xB=b³⁰, yB=ab²⁹, zB=b³⁰, AB=ab²⁹, B²=b³⁰, bC=aB, cC=bB, dC=ab²A, eC=b³z, fC=b³y, gC=ab⁴y, hC=ab⁴x, iC=b⁵x, jC=b⁵w, kC=ab⁶w, lC=ab⁶v, mC=b⁷v, nC=b⁷u, oC=ab⁸u, pC=ab⁸t, qC=b⁹t, rC=b⁹s, sC=ab¹⁰s, tC=ab¹⁰r, uC=b¹¹r, vC=b¹¹q, wC=ab¹²q, xC=ab²⁹, yC=b³⁰, zC=ab²⁹, AC=b³⁰, BC=ab²⁹, C²=b³⁰, bD=aC, cD=aB, dD=bA, eD=ab²z, fD=b³z, gD=b³y, hD=ab⁴y, iD=ab⁴x, jD=b⁵x, kD=b⁵w, lD=ab⁶w, mD=ab⁶v, nD=b⁷v, oD=b⁷u, pD=ab⁸u, qD=ab⁸t, rD=b⁹t, sD=b⁹s, tD=ab¹⁰s, uD=ab¹⁰r, vD=b¹¹r, wD=b¹¹q, xD=ab¹²q, yD=ab²⁹, zD=b³⁰, AD=ab²⁹, BD=b³⁰, CD=ab²⁹, D²=b³⁰, bE=aD, cE=aC, dE=bB, eE=ab²A, fE=ab²z, gE=b³z, hE=b³y, iE=ab⁴y, jE=ab⁴x, kE=b⁵x, lE=b⁵w, mE=ab⁶w, nE=ab⁶v, oE=b⁷v, pE=b⁷u, qE=ab⁸u, rE=ab⁸t, sE=b⁹t, tE=b⁹s, uE=ab¹⁰s, vE=ab¹⁰r, wE=b¹¹r, xE=b¹¹q, yE=ab¹²q, zE=ab²⁹, AE=b³⁰, BE=ab²⁹, CE=b³⁰, DE=ab²⁹, E²=b³⁰, bF=aE, cF=aD, dF=aB, eF=bA, fF=ab²A, gF=ab²z, hF=b³z, iF=b³y, jF=ab⁴y, kF=ab⁴x, lF=b⁵x, mF=b⁵w, nF=ab⁶w, oF=ab⁶v, pF=b⁷v, qF=b⁷u, rF=ab⁸u, sF=ab⁸t, tF=b⁹t, uF=b⁹s, vF=ab¹⁰s, wF=ab¹⁰r, xF=b¹¹r, yF=b¹¹q, zF=ab¹²q, AF=ab²⁹, BF=b³⁰, CF=ab²⁹, DF=b³⁰, EF=ab²⁹, F²=b³⁰, bG=aF, cG=aE, dG=aC, eG=bB, fG=bA, gG=ab²A, hG=ab²z, iG=b³z, jG=b³y, kG=ab⁴y, lG=ab⁴x, mG=b⁵x, nG=b⁵w, oG=ab⁶w, pG=ab⁶v, qG=b⁷v, rG=b⁷u, sG=ab⁸u, tG=ab⁸t, uG=b⁹t, vG=b⁹s, wG=ab¹⁰s, xG=ab¹⁰r, yG=b¹¹r, zG=b¹¹q, AG=ab¹²q, BG=ab²⁹, CG=b³⁰, DG=ab²⁹, EG=b³⁰, FG=ab²⁹, G²=b³⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, b³⁰, 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 G

Monoid Structure