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 Q₃₉(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 | a²=1, b²⁹=b²⁷, 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=ab²⁷, m²=b²⁸, b⁹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁸n, gn=ab²⁵, hn=b²⁶, in=ab²⁷, jn=b²⁸, kn=ab²⁷, ln=b²⁸, mn=ab²⁷, n²=b²⁸, b¹⁰o=b²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁸o, go=b⁹o, ho=ab²⁷, io=b²⁸, jo=ab²⁷, ko=b²⁸, lo=ab²⁷, mo=b²⁸, no=ab²⁷, o²=b²⁸, b¹¹p=ab²⁷, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁸p, gp=b⁹p, hp=ab¹⁰p, ip=ab²⁷, jp=b²⁸, kp=ab²⁷, lp=b²⁸, mp=ab²⁷, np=b²⁸, op=ab²⁷, p²=b²⁸, b¹⁰q=ab⁹p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁸q, gq=b⁹q, hq=b⁹p, iq=ab¹⁰p, jq=ab²⁷, kq=b²⁸, lq=ab²⁷, mq=b²⁸, nq=ab²⁷, oq=b²⁸, pq=ab²⁷, q²=b²⁸, b⁹r=ab⁸q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=ab⁸r, gr=ab⁸q, hr=b⁹q, ir=b⁹p, jr=ab¹⁰p, kr=ab²⁷, lr=b²⁸, mr=ab²⁷, nr=b²⁸, or=ab²⁷, pr=b²⁸, qr=ab²⁷, r²=b²⁸, b⁸s=ab⁷r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=b⁷r, gs=ab⁸r, hs=ab⁸q, is=b⁹q, js=b⁹p, ks=ab¹⁰p, ls=ab²⁷, ms=b²⁸, ns=ab²⁷, os=b²⁸, ps=ab²⁷, qs=b²⁸, rs=ab²⁷, s²=b²⁸, b⁷t=ab⁶s, ct=ab²t, dt=ab⁴t, et=ab⁶t, ft=b⁷s, gt=b⁷r, ht=ab⁸r, it=ab⁸q, jt=b⁹q, kt=b⁹p, lt=ab¹⁰p, mt=ab²⁷, nt=b²⁸, ot=ab²⁷, pt=b²⁸, qt=ab²⁷, rt=b²⁸, st=ab²⁷, t²=b²⁸, b⁶u=ab⁵t, cu=ab²u, du=ab⁴u, eu=b⁵t, fu=ab⁶s, gu=b⁷s, hu=b⁷r, iu=ab⁸r, ju=ab⁸q, ku=b⁹q, lu=b⁹p, mu=ab¹⁰p, nu=ab²⁷, ou=b²⁸, pu=ab²⁷, qu=b²⁸, ru=ab²⁷, su=b²⁸, tu=ab²⁷, u²=b²⁸, b⁵v=ab⁴u, cv=ab²v, dv=ab⁴v, ev=b⁵u, fv=ab⁶t, gv=ab⁶s, hv=b⁷s, iv=b⁷r, jv=ab⁸r, kv=ab⁸q, lv=b⁹q, mv=b⁹p, nv=ab¹⁰p, ov=ab²⁷, pv=b²⁸, qv=ab²⁷, rv=b²⁸, sv=ab²⁷, tv=b²⁸, uv=ab²⁷, v²=b²⁸, b⁴w=ab³v, cw=ab²w, dw=b³v, ew=ab⁴u, fw=b⁵t, gw=ab⁶t, hw=ab⁶s, iw=b⁷s, jw=b⁷r, kw=ab⁸r, lw=ab⁸q, mw=b⁹q, nw=b⁹p, ow=ab¹⁰p, pw=ab²⁷, qw=b²⁸, rw=ab²⁷, sw=b²⁸, tw=ab²⁷, uw=b²⁸, vw=ab²⁷, w²=b²⁸, b³x=ab²w, cx=ab²x, dx=b³w, ex=ab⁴v, fx=b⁵u, gx=b⁵t, hx=ab⁶t, ix=ab⁶s, jx=b⁷s, kx=b⁷r, lx=ab⁸r, mx=ab⁸q, nx=b⁹q, ox=b⁹p, px=ab¹⁰p, qx=ab²⁷, rx=b²⁸, sx=ab²⁷, tx=b²⁸, ux=ab²⁷, vx=b²⁸, wx=ab²⁷, x²=b²⁸, b²y=abx, cy=bx, dy=ab²w, ey=b³v, fy=ab⁴u, gy=b⁵u, hy=b⁵t, iy=ab⁶t, jy=ab⁶s, ky=b⁷s, ly=b⁷r, my=ab⁸r, ny=ab⁸q, oy=b⁹q, py=b⁹p, qy=ab¹⁰p, ry=ab²⁷, sy=b²⁸, ty=ab²⁷, uy=b²⁸, vy=ab²⁷, wy=b²⁸, xy=ab²⁷, y²=b²⁸, bz=ay, cz=by, dz=ab²x, ez=b³w, fz=ab⁴v, gz=ab⁴u, hz=b⁵u, iz=b⁵t, jz=ab⁶t, kz=ab⁶s, lz=b⁷s, mz=b⁷r, nz=ab⁸r, oz=ab⁸q, pz=b⁹q, qz=b⁹p, rz=ab¹⁰p, sz=ab²⁷, tz=b²⁸, uz=ab²⁷, vz=b²⁸, wz=ab²⁷, xz=b²⁸, yz=ab²⁷, z²=b²⁸, bA=az, cA=ay, dA=bx, eA=ab²w, fA=b³v, gA=ab⁴v, hA=ab⁴u, iA=b⁵u, jA=b⁵t, kA=ab⁶t, lA=ab⁶s, mA=b⁷s, nA=b⁷r, oA=ab⁸r, pA=ab⁸q, qA=b⁹q, rA=b⁹p, sA=ab¹⁰p, tA=ab²⁷, uA=b²⁸, vA=ab²⁷, wA=b²⁸, xA=ab²⁷, yA=b²⁸, zA=ab²⁷, A²=b²⁸, bB=aA, cB=az, dB=by, eB=ab²x, fB=b³w, gB=b³v, hB=ab⁴v, iB=ab⁴u, jB=b⁵u, kB=b⁵t, lB=ab⁶t, mB=ab⁶s, nB=b⁷s, oB=b⁷r, pB=ab⁸r, qB=ab⁸q, rB=b⁹q, sB=b⁹p, tB=ab¹⁰p, uB=ab²⁷, vB=b²⁸, wB=ab²⁷, xB=b²⁸, yB=ab²⁷, zB=b²⁸, AB=ab²⁷, B²=b²⁸, bC=aB, cC=aA, dC=ay, eC=bx, fC=ab²w, gC=b³w, hC=b³v, iC=ab⁴v, jC=ab⁴u, kC=b⁵u, lC=b⁵t, mC=ab⁶t, nC=ab⁶s, oC=b⁷s, pC=b⁷r, qC=ab⁸r, rC=ab⁸q, sC=b⁹q, tC=b⁹p, uC=ab¹⁰p, vC=ab²⁷, wC=b²⁸, xC=ab²⁷, yC=b²⁸, zC=ab²⁷, AC=b²⁸, BC=ab²⁷, C²=b²⁸, bD=aC, cD=aB, dD=az, eD=by, fD=ab²x, gD=ab²w, hD=b³w, iD=b³v, jD=ab⁴v, kD=ab⁴u, lD=b⁵u, mD=b⁵t, nD=ab⁶t, oD=ab⁶s, pD=b⁷s, qD=b⁷r, rD=ab⁸r, sD=ab⁸q, tD=b⁹q, uD=b⁹p, vD=ab¹⁰p, wD=ab²⁷, xD=b²⁸, yD=ab²⁷, zD=b²⁸, AD=ab²⁷, BD=b²⁸, CD=ab²⁷, D²=b²⁸, bE=aD, cE=aC, dE=aA, eE=ay, fE=bx, gE=ab²x, hE=ab²w, iE=b³w, jE=b³v, kE=ab⁴v, lE=ab⁴u, mE=b⁵u, nE=b⁵t, oE=ab⁶t, pE=ab⁶s, qE=b⁷s, rE=b⁷r, sE=ab⁸r, tE=ab⁸q, uE=b⁹q, vE=b⁹p, wE=ab¹⁰p, xE=ab²⁷, yE=b²⁸, zE=ab²⁷, AE=b²⁸, BE=ab²⁷, CE=b²⁸, DE=ab²⁷, E²=b²⁸, bF=aE, cF=aD, dF=aB, eF=az, fF=by, gF=bx, hF=ab²x, iF=ab²w, jF=b³w, kF=b³v, lF=ab⁴v, mF=ab⁴u, nF=b⁵u, oF=b⁵t, pF=ab⁶t, qF=ab⁶s, rF=b⁷s, sF=b⁷r, tF=ab⁸r, uF=ab⁸q, vF=b⁹q, wF=b⁹p, xF=ab¹⁰p, yF=ab²⁷, zF=b²⁸, AF=ab²⁷, BF=b²⁸, CF=ab²⁷, DF=b²⁸, EF=ab²⁷, F²=b²⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, b²⁸, 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, br, b³r, b⁵r, b⁷r, as, ab²s, ab⁴s, ab⁶s, bt, b³t, b⁵t, au, ab²u, ab⁴u, bv, b³v, aw, ab²w, bx, ay, aA, aC, aE}

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

Monoid Structure