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 Q₃₆(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 | a²=1, b²⁶=b²⁴, 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=b²⁴, b⁷l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b²², gl=ab²³, hl=b²⁴, il=ab²⁵, jl=b²⁴, kl=ab²⁵, l²=b²⁴, b⁸m=b²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²³, gm=b²⁴, hm=ab²⁵, im=b²⁴, jm=ab²⁵, km=b²⁴, lm=ab²⁵, m²=b²⁴, b⁹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁸n, gn=ab²⁵, hn=b²⁴, in=ab²⁵, jn=b²⁴, kn=ab²⁵, ln=b²⁴, mn=ab²⁵, n²=b²⁴, b⁹o=ab⁸n, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁸o, go=ab⁸n, ho=ab²⁵, io=b²⁴, jo=ab²⁵, ko=b²⁴, lo=ab²⁵, mo=b²⁴, no=ab²⁵, o²=b²⁴, b⁸p=ab⁷o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=b⁷o, gp=ab⁸o, hp=ab⁸n, ip=ab²⁵, jp=b²⁴, kp=ab²⁵, lp=b²⁴, mp=ab²⁵, np=b²⁴, op=ab²⁵, p²=b²⁴, b⁷q=ab⁶p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=b⁷p, gq=b⁷o, hq=ab⁸o, iq=ab⁸n, jq=ab²⁵, kq=b²⁴, lq=ab²⁵, mq=b²⁴, nq=ab²⁵, oq=b²⁴, pq=ab²⁵, q²=b²⁴, b⁶r=ab⁵q, cr=ab²r, dr=ab⁴r, er=b⁵q, fr=ab⁶p, gr=b⁷p, hr=b⁷o, ir=ab⁸o, jr=ab⁸n, kr=ab²⁵, lr=b²⁴, mr=ab²⁵, nr=b²⁴, or=ab²⁵, pr=b²⁴, qr=ab²⁵, r²=b²⁴, b⁵s=ab⁴r, cs=ab²s, ds=ab⁴s, es=b⁵r, fs=ab⁶q, gs=ab⁶p, hs=b⁷p, is=b⁷o, js=ab⁸o, ks=ab⁸n, ls=ab²⁵, ms=b²⁴, ns=ab²⁵, os=b²⁴, ps=ab²⁵, qs=b²⁴, rs=ab²⁵, s²=b²⁴, b⁴t=ab³s, ct=ab²t, dt=b³s, et=ab⁴r, ft=b⁵q, gt=ab⁶q, ht=ab⁶p, it=b⁷p, jt=b⁷o, kt=ab⁸o, lt=ab⁸n, mt=ab²⁵, nt=b²⁴, ot=ab²⁵, pt=b²⁴, qt=ab²⁵, rt=b²⁴, st=ab²⁵, t²=b²⁴, b³u=ab²t, cu=ab²u, du=b³t, eu=ab⁴s, fu=b⁵r, gu=b⁵q, hu=ab⁶q, iu=ab⁶p, ju=b⁷p, ku=b⁷o, lu=ab⁸o, mu=ab⁸n, nu=ab²⁵, ou=b²⁴, pu=ab²⁵, qu=b²⁴, ru=ab²⁵, su=b²⁴, tu=ab²⁵, u²=b²⁴, b²v=abu, cv=bu, dv=ab²t, ev=b³s, fv=ab⁴r, gv=b⁵r, hv=b⁵q, iv=ab⁶q, jv=ab⁶p, kv=b⁷p, lv=b⁷o, mv=ab⁸o, nv=ab⁸n, ov=ab²⁵, pv=b²⁴, qv=ab²⁵, rv=b²⁴, sv=ab²⁵, tv=b²⁴, uv=ab²⁵, v²=b²⁴, bw=av, cw=bv, dw=ab²u, ew=b³t, fw=ab⁴s, gw=ab⁴r, hw=b⁵r, iw=b⁵q, jw=ab⁶q, kw=ab⁶p, lw=b⁷p, mw=b⁷o, nw=ab⁸o, ow=ab⁸n, pw=ab²⁵, qw=b²⁴, rw=ab²⁵, sw=b²⁴, tw=ab²⁵, uw=b²⁴, vw=ab²⁵, w²=b²⁴, bx=aw, cx=av, dx=bu, ex=ab²t, fx=b³s, gx=ab⁴s, hx=ab⁴r, ix=b⁵r, jx=b⁵q, kx=ab⁶q, lx=ab⁶p, mx=b⁷p, nx=b⁷o, ox=ab⁸o, px=ab⁸n, qx=ab²⁵, rx=b²⁴, sx=ab²⁵, tx=b²⁴, ux=ab²⁵, vx=b²⁴, wx=ab²⁵, x²=b²⁴, by=ax, cy=aw, dy=bv, ey=ab²u, fy=b³t, gy=b³s, hy=ab⁴s, iy=ab⁴r, jy=b⁵r, ky=b⁵q, ly=ab⁶q, my=ab⁶p, ny=b⁷p, oy=b⁷o, py=ab⁸o, qy=ab⁸n, ry=ab²⁵, sy=b²⁴, ty=ab²⁵, uy=b²⁴, vy=ab²⁵, wy=b²⁴, xy=ab²⁵, y²=b²⁴, bz=ay, cz=ax, dz=av, ez=bu, fz=ab²t, gz=b³t, hz=b³s, iz=ab⁴s, jz=ab⁴r, kz=b⁵r, lz=b⁵q, mz=ab⁶q, nz=ab⁶p, oz=b⁷p, pz=b⁷o, qz=ab⁸o, rz=ab⁸n, sz=ab²⁵, tz=b²⁴, uz=ab²⁵, vz=b²⁴, wz=ab²⁵, xz=b²⁴, yz=ab²⁵, z²=b²⁴, bA=az, cA=ay, dA=aw, eA=bv, fA=ab²u, gA=ab²t, hA=b³t, iA=b³s, jA=ab⁴s, kA=ab⁴r, lA=b⁵r, mA=b⁵q, nA=ab⁶q, oA=ab⁶p, pA=b⁷p, qA=b⁷o, rA=ab⁸o, sA=ab⁸n, tA=ab²⁵, uA=b²⁴, vA=ab²⁵, wA=b²⁴, xA=ab²⁵, yA=b²⁴, zA=ab²⁵, A²=b²⁴, bB=aA, cB=az, dB=ax, eB=av, fB=bu, gB=ab²u, hB=ab²t, iB=b³t, jB=b³s, kB=ab⁴s, lB=ab⁴r, mB=b⁵r, nB=b⁵q, oB=ab⁶q, pB=ab⁶p, qB=b⁷p, rB=b⁷o, sB=ab⁸o, tB=ab⁸n, uB=ab²⁵, vB=b²⁴, wB=ab²⁵, xB=b²⁴, yB=ab²⁵, zB=b²⁴, AB=ab²⁵, B²=b²⁴, bC=aB, cC=aA, dC=ay, eC=aw, fC=bv, gC=bu, hC=ab²u, iC=ab²t, jC=b³t, kC=b³s, lC=ab⁴s, mC=ab⁴r, nC=b⁵r, oC=b⁵q, pC=ab⁶q, qC=ab⁶p, rC=b⁷p, sC=b⁷o, tC=ab⁸o, uC=ab⁸n, vC=ab²⁵, wC=b²⁴, xC=ab²⁵, yC=b²⁴, zC=ab²⁵, AC=b²⁴, BC=ab²⁵, C²=b²⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, 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, aq, ab²q, ab⁴q, ab⁶q, br, b³r, b⁵r, as, ab²s, ab⁴s, bt, b³t, au, ab²u, bv, aw, ay, aA, aC}

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

Monoid Structure