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 Q₃₈(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 | a²=1, b²⁸=b²⁶, 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=b²⁶, b⁸m=b²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²³, gm=b²⁴, hm=ab²⁵, im=b²⁶, jm=ab²⁷, km=b²⁶, lm=ab²⁷, m²=b²⁶, b⁹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁸n, gn=ab²⁵, hn=b²⁶, in=ab²⁷, jn=b²⁶, kn=ab²⁷, ln=b²⁶, mn=ab²⁷, n²=b²⁶, b¹⁰o=b²⁷, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁸o, go=b⁹o, ho=ab²⁷, io=b²⁶, jo=ab²⁷, ko=b²⁶, lo=ab²⁷, mo=b²⁶, no=ab²⁷, o²=b²⁶, b¹⁰p=ab⁹o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁸p, gp=b⁹p, hp=b⁹o, ip=ab²⁷, jp=b²⁶, kp=ab²⁷, lp=b²⁶, mp=ab²⁷, np=b²⁶, op=ab²⁷, p²=b²⁶, b⁹q=ab⁸p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=ab⁸q, gq=ab⁸p, hq=b⁹p, iq=b⁹o, jq=ab²⁷, kq=b²⁶, lq=ab²⁷, mq=b²⁶, nq=ab²⁷, oq=b²⁶, pq=ab²⁷, q²=b²⁶, b⁸r=ab⁷q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=b⁷q, gr=ab⁸q, hr=ab⁸p, ir=b⁹p, jr=b⁹o, kr=ab²⁷, lr=b²⁶, mr=ab²⁷, nr=b²⁶, or=ab²⁷, pr=b²⁶, qr=ab²⁷, r²=b²⁶, b⁷s=ab⁶r, cs=ab²s, ds=ab⁴s, es=ab⁶s, fs=b⁷r, gs=b⁷q, hs=ab⁸q, is=ab⁸p, js=b⁹p, ks=b⁹o, ls=ab²⁷, ms=b²⁶, ns=ab²⁷, os=b²⁶, ps=ab²⁷, qs=b²⁶, rs=ab²⁷, s²=b²⁶, b⁶t=ab⁵s, ct=ab²t, dt=ab⁴t, et=b⁵s, ft=ab⁶r, gt=b⁷r, ht=b⁷q, it=ab⁸q, jt=ab⁸p, kt=b⁹p, lt=b⁹o, mt=ab²⁷, nt=b²⁶, ot=ab²⁷, pt=b²⁶, qt=ab²⁷, rt=b²⁶, st=ab²⁷, t²=b²⁶, b⁵u=ab⁴t, cu=ab²u, du=ab⁴u, eu=b⁵t, fu=ab⁶s, gu=ab⁶r, hu=b⁷r, iu=b⁷q, ju=ab⁸q, ku=ab⁸p, lu=b⁹p, mu=b⁹o, nu=ab²⁷, ou=b²⁶, pu=ab²⁷, qu=b²⁶, ru=ab²⁷, su=b²⁶, tu=ab²⁷, u²=b²⁶, b⁴v=ab³u, cv=ab²v, dv=b³u, ev=ab⁴t, fv=b⁵s, gv=ab⁶s, hv=ab⁶r, iv=b⁷r, jv=b⁷q, kv=ab⁸q, lv=ab⁸p, mv=b⁹p, nv=b⁹o, ov=ab²⁷, pv=b²⁶, qv=ab²⁷, rv=b²⁶, sv=ab²⁷, tv=b²⁶, uv=ab²⁷, v²=b²⁶, b³w=ab²v, cw=ab²w, dw=b³v, ew=ab⁴u, fw=b⁵t, gw=b⁵s, hw=ab⁶s, iw=ab⁶r, jw=b⁷r, kw=b⁷q, lw=ab⁸q, mw=ab⁸p, nw=b⁹p, ow=b⁹o, pw=ab²⁷, qw=b²⁶, rw=ab²⁷, sw=b²⁶, tw=ab²⁷, uw=b²⁶, vw=ab²⁷, w²=b²⁶, b²x=abw, cx=bw, dx=ab²v, ex=b³u, fx=ab⁴t, gx=b⁵t, hx=b⁵s, ix=ab⁶s, jx=ab⁶r, kx=b⁷r, lx=b⁷q, mx=ab⁸q, nx=ab⁸p, ox=b⁹p, px=b⁹o, qx=ab²⁷, rx=b²⁶, sx=ab²⁷, tx=b²⁶, ux=ab²⁷, vx=b²⁶, wx=ab²⁷, x²=b²⁶, by=ax, cy=bx, dy=ab²w, ey=b³v, fy=ab⁴u, gy=ab⁴t, hy=b⁵t, iy=b⁵s, jy=ab⁶s, ky=ab⁶r, ly=b⁷r, my=b⁷q, ny=ab⁸q, oy=ab⁸p, py=b⁹p, qy=b⁹o, ry=ab²⁷, sy=b²⁶, ty=ab²⁷, uy=b²⁶, vy=ab²⁷, wy=b²⁶, xy=ab²⁷, y²=b²⁶, bz=ay, cz=ax, dz=bw, ez=ab²v, fz=b³u, gz=ab⁴u, hz=ab⁴t, iz=b⁵t, jz=b⁵s, kz=ab⁶s, lz=ab⁶r, mz=b⁷r, nz=b⁷q, oz=ab⁸q, pz=ab⁸p, qz=b⁹p, rz=b⁹o, sz=ab²⁷, tz=b²⁶, uz=ab²⁷, vz=b²⁶, wz=ab²⁷, xz=b²⁶, yz=ab²⁷, z²=b²⁶, bA=az, cA=ay, dA=bx, eA=ab²w, fA=b³v, gA=b³u, hA=ab⁴u, iA=ab⁴t, jA=b⁵t, kA=b⁵s, lA=ab⁶s, mA=ab⁶r, nA=b⁷r, oA=b⁷q, pA=ab⁸q, qA=ab⁸p, rA=b⁹p, sA=b⁹o, tA=ab²⁷, uA=b²⁶, vA=ab²⁷, wA=b²⁶, xA=ab²⁷, yA=b²⁶, zA=ab²⁷, A²=b²⁶, bB=aA, cB=az, dB=ax, eB=bw, fB=ab²v, gB=b³v, hB=b³u, iB=ab⁴u, jB=ab⁴t, kB=b⁵t, lB=b⁵s, mB=ab⁶s, nB=ab⁶r, oB=b⁷r, pB=b⁷q, qB=ab⁸q, rB=ab⁸p, sB=b⁹p, tB=b⁹o, uB=ab²⁷, vB=b²⁶, wB=ab²⁷, xB=b²⁶, yB=ab²⁷, zB=b²⁶, AB=ab²⁷, B²=b²⁶, bC=aB, cC=aA, dC=ay, eC=bx, fC=ab²w, gC=ab²v, hC=b³v, iC=b³u, jC=ab⁴u, kC=ab⁴t, lC=b⁵t, mC=b⁵s, nC=ab⁶s, oC=ab⁶r, pC=b⁷r, qC=b⁷q, rC=ab⁸q, sC=ab⁸p, tC=b⁹p, uC=b⁹o, vC=ab²⁷, wC=b²⁶, xC=ab²⁷, yC=b²⁶, zC=ab²⁷, AC=b²⁶, BC=ab²⁷, C²=b²⁶, bD=aC, cD=aB, dD=az, eD=ax, fD=bw, gD=ab²w, hD=ab²v, iD=b³v, jD=b³u, kD=ab⁴u, lD=ab⁴t, mD=b⁵t, nD=b⁵s, oD=ab⁶s, pD=ab⁶r, qD=b⁷r, rD=b⁷q, sD=ab⁸q, tD=ab⁸p, uD=b⁹p, vD=b⁹o, wD=ab²⁷, xD=b²⁶, yD=ab²⁷, zD=b²⁶, AD=ab²⁷, BD=b²⁶, CD=ab²⁷, D²=b²⁶, bE=aD, cE=aC, dE=aA, eE=ay, fE=bx, gE=bw, hE=ab²w, iE=ab²v, jE=b³v, kE=b³u, lE=ab⁴u, mE=ab⁴t, nE=b⁵t, oE=b⁵s, pE=ab⁶s, qE=ab⁶r, rE=b⁷r, sE=b⁷q, tE=ab⁸q, uE=ab⁸p, vE=b⁹p, wE=b⁹o, xE=ab²⁷, yE=b²⁶, zE=ab²⁷, AE=b²⁶, BE=ab²⁷, CE=b²⁶, DE=ab²⁷, E²=b²⁶>

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

Monoid Structure