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 Q₃₅(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 | a²=1, b²⁵=b²³, 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=ab²³, k²=b²⁴, b⁷l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b²², gl=ab²³, hl=b²⁴, il=ab²³, jl=b²⁴, kl=ab²³, l²=b²⁴, b⁸m=b²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²³, gm=b²⁴, hm=ab²³, im=b²⁴, jm=ab²³, km=b²⁴, lm=ab²³, m²=b²⁴, b⁹n=ab²³, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=ab⁸n, gn=ab²³, hn=b²⁴, in=ab²³, jn=b²⁴, kn=ab²³, ln=b²⁴, mn=ab²³, n²=b²⁴, b⁸o=ab⁷n, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=b⁷n, go=ab⁸n, ho=ab²³, io=b²⁴, jo=ab²³, ko=b²⁴, lo=ab²³, mo=b²⁴, no=ab²³, o²=b²⁴, b⁷p=ab⁶o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=b⁷o, gp=b⁷n, hp=ab⁸n, ip=ab²³, jp=b²⁴, kp=ab²³, lp=b²⁴, mp=ab²³, np=b²⁴, op=ab²³, p²=b²⁴, b⁶q=ab⁵p, cq=ab²q, dq=ab⁴q, eq=b⁵p, fq=ab⁶o, gq=b⁷o, hq=b⁷n, iq=ab⁸n, jq=ab²³, kq=b²⁴, lq=ab²³, mq=b²⁴, nq=ab²³, oq=b²⁴, pq=ab²³, q²=b²⁴, b⁵r=ab⁴q, cr=ab²r, dr=ab⁴r, er=b⁵q, fr=ab⁶p, gr=ab⁶o, hr=b⁷o, ir=b⁷n, jr=ab⁸n, kr=ab²³, lr=b²⁴, mr=ab²³, nr=b²⁴, or=ab²³, pr=b²⁴, qr=ab²³, r²=b²⁴, b⁴s=ab³r, cs=ab²s, ds=b³r, es=ab⁴q, fs=b⁵p, gs=ab⁶p, hs=ab⁶o, is=b⁷o, js=b⁷n, ks=ab⁸n, ls=ab²³, ms=b²⁴, ns=ab²³, os=b²⁴, ps=ab²³, qs=b²⁴, rs=ab²³, s²=b²⁴, b³t=ab²s, ct=ab²t, dt=b³s, et=ab⁴r, ft=b⁵q, gt=b⁵p, ht=ab⁶p, it=ab⁶o, jt=b⁷o, kt=b⁷n, lt=ab⁸n, mt=ab²³, nt=b²⁴, ot=ab²³, pt=b²⁴, qt=ab²³, rt=b²⁴, st=ab²³, t²=b²⁴, b²u=abt, cu=bt, du=ab²s, eu=b³r, fu=ab⁴q, gu=b⁵q, hu=b⁵p, iu=ab⁶p, ju=ab⁶o, ku=b⁷o, lu=b⁷n, mu=ab⁸n, nu=ab²³, ou=b²⁴, pu=ab²³, qu=b²⁴, ru=ab²³, su=b²⁴, tu=ab²³, u²=b²⁴, bv=au, cv=bu, dv=ab²t, ev=b³s, fv=ab⁴r, gv=ab⁴q, hv=b⁵q, iv=b⁵p, jv=ab⁶p, kv=ab⁶o, lv=b⁷o, mv=b⁷n, nv=ab⁸n, ov=ab²³, pv=b²⁴, qv=ab²³, rv=b²⁴, sv=ab²³, tv=b²⁴, uv=ab²³, v²=b²⁴, bw=av, cw=au, dw=bt, ew=ab²s, fw=b³r, gw=ab⁴r, hw=ab⁴q, iw=b⁵q, jw=b⁵p, kw=ab⁶p, lw=ab⁶o, mw=b⁷o, nw=b⁷n, ow=ab⁸n, pw=ab²³, qw=b²⁴, rw=ab²³, sw=b²⁴, tw=ab²³, uw=b²⁴, vw=ab²³, w²=b²⁴, bx=aw, cx=av, dx=bu, ex=ab²t, fx=b³s, gx=b³r, hx=ab⁴r, ix=ab⁴q, jx=b⁵q, kx=b⁵p, lx=ab⁶p, mx=ab⁶o, nx=b⁷o, ox=b⁷n, px=ab⁸n, qx=ab²³, rx=b²⁴, sx=ab²³, tx=b²⁴, ux=ab²³, vx=b²⁴, wx=ab²³, x²=b²⁴, by=ax, cy=aw, dy=au, ey=bt, fy=ab²s, gy=b³s, hy=b³r, iy=ab⁴r, jy=ab⁴q, ky=b⁵q, ly=b⁵p, my=ab⁶p, ny=ab⁶o, oy=b⁷o, py=b⁷n, qy=ab⁸n, ry=ab²³, sy=b²⁴, ty=ab²³, uy=b²⁴, vy=ab²³, wy=b²⁴, xy=ab²³, y²=b²⁴, bz=ay, cz=ax, dz=av, ez=bu, fz=ab²t, gz=ab²s, hz=b³s, iz=b³r, jz=ab⁴r, kz=ab⁴q, lz=b⁵q, mz=b⁵p, nz=ab⁶p, oz=ab⁶o, pz=b⁷o, qz=b⁷n, rz=ab⁸n, sz=ab²³, tz=b²⁴, uz=ab²³, vz=b²⁴, wz=ab²³, xz=b²⁴, yz=ab²³, z²=b²⁴, bA=az, cA=ay, dA=aw, eA=au, fA=bt, gA=ab²t, hA=ab²s, iA=b³s, jA=b³r, kA=ab⁴r, lA=ab⁴q, mA=b⁵q, nA=b⁵p, oA=ab⁶p, pA=ab⁶o, qA=b⁷o, rA=b⁷n, sA=ab⁸n, tA=ab²³, uA=b²⁴, vA=ab²³, wA=b²⁴, xA=ab²³, yA=b²⁴, zA=ab²³, A²=b²⁴, bB=aA, cB=az, dB=ax, eB=av, fB=bu, gB=bt, hB=ab²t, iB=ab²s, jB=b³s, kB=b³r, lB=ab⁴r, mB=ab⁴q, nB=b⁵q, oB=b⁵p, pB=ab⁶p, qB=ab⁶o, rB=b⁷o, sB=b⁷n, tB=ab⁸n, uB=ab²³, vB=b²⁴, wB=ab²³, xB=b²⁴, yB=ab²³, zB=b²⁴, AB=ab²³, B²=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, bp, b³p, b⁵p, aq, ab²q, ab⁴q, br, b³r, as, ab²s, bt, au, aw, ay, aA}

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

Monoid Structure