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 Q₃₄(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 | a²=1, b²⁸=b²⁶, 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=b²⁶, b¹⁰n=b²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=b⁷n, gn=ab⁸n, hn=b⁹n, in=ab²⁵, jn=b²⁶, kn=ab²⁷, ln=b²⁶, mn=ab²⁷, n²=b²⁶, b¹¹o=ab²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=b⁷o, go=ab⁸o, ho=b⁹o, io=ab¹⁰o, jo=ab²⁷, ko=b²⁶, lo=ab²⁷, mo=b²⁶, no=ab²⁷, o²=b²⁶, b¹¹p=ab¹⁰o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=b⁷p, gp=ab⁸p, hp=b⁹p, ip=ab¹⁰p, jp=ab¹⁰o, kp=ab²⁷, lp=b²⁶, mp=ab²⁷, np=b²⁶, op=ab²⁷, p²=b²⁶, b¹⁰q=ab⁹p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=b⁷q, gq=ab⁸q, hq=b⁹q, iq=b⁹p, jq=ab¹⁰p, kq=ab¹⁰o, lq=ab²⁷, mq=b²⁶, nq=ab²⁷, oq=b²⁶, pq=ab²⁷, q²=b²⁶, b⁹r=ab⁸q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=b⁷r, gr=ab⁸r, hr=ab⁸q, ir=b⁹q, jr=b⁹p, kr=ab¹⁰p, lr=ab¹⁰o, mr=ab²⁷, nr=b²⁶, or=ab²⁷, pr=b²⁶, qr=ab²⁷, r²=b²⁶, b⁸s=ab⁷r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=b⁷s, gs=b⁷r, hs=ab⁸r, is=ab⁸q, js=b⁹q, ks=b⁹p, ls=ab¹⁰p, ms=ab¹⁰o, ns=ab²⁷, os=b²⁶, ps=ab²⁷, qs=b²⁶, rs=ab²⁷, s²=b²⁶, b⁷t=ab⁶s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=ab⁶s, gt=b⁷s, ht=b⁷r, it=ab⁸r, jt=ab⁸q, kt=b⁹q, lt=b⁹p, mt=ab¹⁰p, nt=ab¹⁰o, ot=ab²⁷, pt=b²⁶, qt=ab²⁷, rt=b²⁶, st=ab²⁷, t²=b²⁶, b⁶u=ab⁵t, cu=ab²u, du=ab⁴u, eu=b⁵t, fu=ab⁶t, gu=ab⁶s, hu=b⁷s, iu=b⁷r, ju=ab⁸r, ku=ab⁸q, lu=b⁹q, mu=b⁹p, nu=ab¹⁰p, ou=ab¹⁰o, pu=ab²⁷, qu=b²⁶, ru=ab²⁷, su=b²⁶, tu=ab²⁷, u²=b²⁶, b⁵v=ab⁴u, cv=ab²v, dv=ab⁴v, ev=b⁵u, fv=b⁵t, gv=ab⁶t, hv=ab⁶s, iv=b⁷s, jv=b⁷r, kv=ab⁸r, lv=ab⁸q, mv=b⁹q, nv=b⁹p, ov=ab¹⁰p, pv=ab¹⁰o, qv=ab²⁷, rv=b²⁶, sv=ab²⁷, tv=b²⁶, uv=ab²⁷, v²=b²⁶, b⁴w=ab³v, cw=ab²w, dw=b³v, ew=ab⁴u, fw=b⁵u, gw=b⁵t, hw=ab⁶t, iw=ab⁶s, jw=b⁷s, kw=b⁷r, lw=ab⁸r, mw=ab⁸q, nw=b⁹q, ow=b⁹p, pw=ab¹⁰p, qw=ab¹⁰o, rw=ab²⁷, sw=b²⁶, tw=ab²⁷, uw=b²⁶, vw=ab²⁷, w²=b²⁶, b³x=ab²w, cx=ab²x, dx=b³w, ex=ab⁴v, fx=ab⁴u, gx=b⁵u, hx=b⁵t, ix=ab⁶t, jx=ab⁶s, kx=b⁷s, lx=b⁷r, mx=ab⁸r, nx=ab⁸q, ox=b⁹q, px=b⁹p, qx=ab¹⁰p, rx=ab¹⁰o, sx=ab²⁷, tx=b²⁶, ux=ab²⁷, vx=b²⁶, wx=ab²⁷, x²=b²⁶, b²y=abx, cy=bx, dy=ab²w, ey=b³v, fy=ab⁴v, gy=ab⁴u, hy=b⁵u, iy=b⁵t, jy=ab⁶t, ky=ab⁶s, ly=b⁷s, my=b⁷r, ny=ab⁸r, oy=ab⁸q, py=b⁹q, qy=b⁹p, ry=ab¹⁰p, sy=ab¹⁰o, ty=ab²⁷, uy=b²⁶, vy=ab²⁷, wy=b²⁶, xy=ab²⁷, y²=b²⁶, bz=ay, cz=by, dz=ab²x, ez=b³w, fz=b³v, gz=ab⁴v, hz=ab⁴u, iz=b⁵u, jz=b⁵t, kz=ab⁶t, lz=ab⁶s, mz=b⁷s, nz=b⁷r, oz=ab⁸r, pz=ab⁸q, qz=b⁹q, rz=b⁹p, sz=ab¹⁰p, tz=ab¹⁰o, uz=ab²⁷, vz=b²⁶, wz=ab²⁷, xz=b²⁶, yz=ab²⁷, z²=b²⁶, bA=az, cA=ay, dA=bx, eA=ab²w, fA=b³w, gA=b³v, hA=ab⁴v, iA=ab⁴u, jA=b⁵u, kA=b⁵t, lA=ab⁶t, mA=ab⁶s, nA=b⁷s, oA=b⁷r, pA=ab⁸r, qA=ab⁸q, rA=b⁹q, sA=b⁹p, tA=ab¹⁰p, uA=ab¹⁰o, vA=ab²⁷, wA=b²⁶, xA=ab²⁷, yA=b²⁶, zA=ab²⁷, A²=b²⁶, bB=aA, cB=az, dB=by, eB=ab²x, fB=ab²w, gB=b³w, hB=b³v, iB=ab⁴v, jB=ab⁴u, kB=b⁵u, lB=b⁵t, mB=ab⁶t, nB=ab⁶s, oB=b⁷s, pB=b⁷r, qB=ab⁸r, rB=ab⁸q, sB=b⁹q, tB=b⁹p, uB=ab¹⁰p, vB=ab¹⁰o, wB=ab²⁷, xB=b²⁶, yB=ab²⁷, zB=b²⁶, AB=ab²⁷, B²=b²⁶, bC=aB, cC=aA, dC=ay, eC=bx, fC=ab²x, gC=ab²w, hC=b³w, iC=b³v, jC=ab⁴v, kC=ab⁴u, lC=b⁵u, mC=b⁵t, nC=ab⁶t, oC=ab⁶s, pC=b⁷s, qC=b⁷r, rC=ab⁸r, sC=ab⁸q, tC=b⁹q, uC=b⁹p, vC=ab¹⁰p, wC=ab¹⁰o, xC=ab²⁷, yC=b²⁶, zC=ab²⁷, AC=b²⁶, BC=ab²⁷, C²=b²⁶, bD=aC, cD=aB, dD=az, eD=by, fD=bx, gD=ab²x, hD=ab²w, iD=b³w, jD=b³v, kD=ab⁴v, lD=ab⁴u, mD=b⁵u, nD=b⁵t, oD=ab⁶t, pD=ab⁶s, qD=b⁷s, rD=b⁷r, sD=ab⁸r, tD=ab⁸q, uD=b⁹q, vD=b⁹p, wD=ab¹⁰p, xD=ab¹⁰o, yD=ab²⁷, zD=b²⁶, AD=ab²⁷, BD=b²⁶, CD=ab²⁷, D²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, 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, ar, ab²r, ab⁴r, ab⁶r, ab⁸r, bs, b³s, b⁵s, b⁷s, at, ab²t, ab⁴t, ab⁶t, bu, b³u, b⁵u, av, ab²v, ab⁴v, bw, b³w, ax, ab²x, by, az, aB, aD}

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

Monoid Structure