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 Q₃₇(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 | a²=1, b²⁷=b²⁵, 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=ab²⁵, l²=b²⁶, b⁸m=b²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²³, gm=b²⁴, hm=ab²⁵, im=b²⁶, jm=ab²⁵, km=b²⁶, lm=ab²⁵, m²=b²⁶, b⁹n=ab²⁵, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁸n, gn=ab²⁵, hn=b²⁶, in=ab²⁵, jn=b²⁶, kn=ab²⁵, ln=b²⁶, mn=ab²⁵, n²=b²⁶, b¹⁰o=b²⁵, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=ab⁸o, go=b⁹o, ho=ab²⁵, io=b²⁶, jo=ab²⁵, ko=b²⁶, lo=ab²⁵, mo=b²⁶, no=ab²⁵, o²=b²⁶, b⁹p=ab⁸o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁸p, gp=ab⁸o, hp=b⁹o, ip=ab²⁵, jp=b²⁶, kp=ab²⁵, lp=b²⁶, mp=ab²⁵, np=b²⁶, op=ab²⁵, p²=b²⁶, b⁸q=ab⁷p, cq=ab²q, dq=ab⁴q, eq=ab⁶q, fq=b⁷p, gq=ab⁸p, hq=ab⁸o, iq=b⁹o, jq=ab²⁵, kq=b²⁶, lq=ab²⁵, mq=b²⁶, nq=ab²⁵, oq=b²⁶, pq=ab²⁵, q²=b²⁶, b⁷r=ab⁶q, cr=ab²r, dr=ab⁴r, er=ab⁶r, fr=b⁷q, gr=b⁷p, hr=ab⁸p, ir=ab⁸o, jr=b⁹o, kr=ab²⁵, lr=b²⁶, mr=ab²⁵, nr=b²⁶, or=ab²⁵, pr=b²⁶, qr=ab²⁵, r²=b²⁶, b⁶s=ab⁵r, cs=ab²s, ds=ab⁴s, es=b⁵r, fs=ab⁶q, gs=b⁷q, hs=b⁷p, is=ab⁸p, js=ab⁸o, ks=b⁹o, ls=ab²⁵, ms=b²⁶, ns=ab²⁵, os=b²⁶, ps=ab²⁵, qs=b²⁶, rs=ab²⁵, s²=b²⁶, b⁵t=ab⁴s, ct=ab²t, dt=ab⁴t, et=b⁵s, ft=ab⁶r, gt=ab⁶q, ht=b⁷q, it=b⁷p, jt=ab⁸p, kt=ab⁸o, lt=b⁹o, mt=ab²⁵, nt=b²⁶, ot=ab²⁵, pt=b²⁶, qt=ab²⁵, rt=b²⁶, st=ab²⁵, t²=b²⁶, b⁴u=ab³t, cu=ab²u, du=b³t, eu=ab⁴s, fu=b⁵r, gu=ab⁶r, hu=ab⁶q, iu=b⁷q, ju=b⁷p, ku=ab⁸p, lu=ab⁸o, mu=b⁹o, nu=ab²⁵, ou=b²⁶, pu=ab²⁵, qu=b²⁶, ru=ab²⁵, su=b²⁶, tu=ab²⁵, u²=b²⁶, b³v=ab²u, cv=ab²v, dv=b³u, ev=ab⁴t, fv=b⁵s, gv=b⁵r, hv=ab⁶r, iv=ab⁶q, jv=b⁷q, kv=b⁷p, lv=ab⁸p, mv=ab⁸o, nv=b⁹o, ov=ab²⁵, pv=b²⁶, qv=ab²⁵, rv=b²⁶, sv=ab²⁵, tv=b²⁶, uv=ab²⁵, v²=b²⁶, b²w=abv, cw=bv, dw=ab²u, ew=b³t, fw=ab⁴s, gw=b⁵s, hw=b⁵r, iw=ab⁶r, jw=ab⁶q, kw=b⁷q, lw=b⁷p, mw=ab⁸p, nw=ab⁸o, ow=b⁹o, pw=ab²⁵, qw=b²⁶, rw=ab²⁵, sw=b²⁶, tw=ab²⁵, uw=b²⁶, vw=ab²⁵, w²=b²⁶, bx=aw, cx=bw, dx=ab²v, ex=b³u, fx=ab⁴t, gx=ab⁴s, hx=b⁵s, ix=b⁵r, jx=ab⁶r, kx=ab⁶q, lx=b⁷q, mx=b⁷p, nx=ab⁸p, ox=ab⁸o, px=b⁹o, qx=ab²⁵, rx=b²⁶, sx=ab²⁵, tx=b²⁶, ux=ab²⁵, vx=b²⁶, wx=ab²⁵, x²=b²⁶, by=ax, cy=aw, dy=bv, ey=ab²u, fy=b³t, gy=ab⁴t, hy=ab⁴s, iy=b⁵s, jy=b⁵r, ky=ab⁶r, ly=ab⁶q, my=b⁷q, ny=b⁷p, oy=ab⁸p, py=ab⁸o, qy=b⁹o, ry=ab²⁵, sy=b²⁶, ty=ab²⁵, uy=b²⁶, vy=ab²⁵, wy=b²⁶, xy=ab²⁵, y²=b²⁶, bz=ay, cz=ax, dz=bw, ez=ab²v, fz=b³u, gz=b³t, hz=ab⁴t, iz=ab⁴s, jz=b⁵s, kz=b⁵r, lz=ab⁶r, mz=ab⁶q, nz=b⁷q, oz=b⁷p, pz=ab⁸p, qz=ab⁸o, rz=b⁹o, sz=ab²⁵, tz=b²⁶, uz=ab²⁵, vz=b²⁶, wz=ab²⁵, xz=b²⁶, yz=ab²⁵, z²=b²⁶, bA=az, cA=ay, dA=aw, eA=bv, fA=ab²u, gA=b³u, hA=b³t, iA=ab⁴t, jA=ab⁴s, kA=b⁵s, lA=b⁵r, mA=ab⁶r, nA=ab⁶q, oA=b⁷q, pA=b⁷p, qA=ab⁸p, rA=ab⁸o, sA=b⁹o, tA=ab²⁵, uA=b²⁶, vA=ab²⁵, wA=b²⁶, xA=ab²⁵, yA=b²⁶, zA=ab²⁵, A²=b²⁶, bB=aA, cB=az, dB=ax, eB=bw, fB=ab²v, gB=ab²u, hB=b³u, iB=b³t, jB=ab⁴t, kB=ab⁴s, lB=b⁵s, mB=b⁵r, nB=ab⁶r, oB=ab⁶q, pB=b⁷q, qB=b⁷p, rB=ab⁸p, sB=ab⁸o, tB=b⁹o, uB=ab²⁵, vB=b²⁶, wB=ab²⁵, xB=b²⁶, yB=ab²⁵, zB=b²⁶, AB=ab²⁵, B²=b²⁶, bC=aB, cC=aA, dC=ay, eC=aw, fC=bv, gC=ab²v, hC=ab²u, iC=b³u, jC=b³t, kC=ab⁴t, lC=ab⁴s, mC=b⁵s, nC=b⁵r, oC=ab⁶r, pC=ab⁶q, qC=b⁷q, rC=b⁷p, sC=ab⁸p, tC=ab⁸o, uC=b⁹o, vC=ab²⁵, wC=b²⁶, xC=ab²⁵, yC=b²⁶, zC=ab²⁵, AC=b²⁶, BC=ab²⁵, C²=b²⁶, bD=aC, cD=aB, dD=az, eD=ax, fD=bw, gD=bv, hD=ab²v, iD=ab²u, jD=b³u, kD=b³t, lD=ab⁴t, mD=ab⁴s, nD=b⁵s, oD=b⁵r, pD=ab⁶r, qD=ab⁶q, rD=b⁷q, sD=b⁷p, tD=ab⁸p, uD=ab⁸o, vD=b⁹o, wD=ab²⁵, xD=b²⁶, yD=ab²⁵, zD=b²⁶, AD=ab²⁵, BD=b²⁶, CD=ab²⁵, D²=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, 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 D

Monoid Structure