Details Page for 0.5512

Complete Solution is Known:

MSV File: q-0.5512.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₀₇(0.5512):

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 | a²=1, b²⁵=b²³, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=ab¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁶k, gk=b⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab²¹, k²=b²², b⁹l=ab²¹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁶l, gl=b⁷l, hl=ab⁸l, il=ab²¹, jl=b²², kl=ab²³, l²=b²⁴, b¹⁰m=b²³, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁶m, gm=b⁷m, hm=ab⁸m, im=b⁹m, jm=ab²³, km=b²⁴, lm=ab²³, m²=b²⁴, b¹¹n=ab²³, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=ab⁶n, gn=b⁷n, hn=ab⁸n, in=b⁹n, jn=ab¹⁰n, kn=ab²³, ln=b²⁴, mn=ab²³, n²=b²⁴, b¹⁰o=ab⁹n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=ab⁶o, go=b⁷o, ho=ab⁸o, io=b⁹o, jo=b⁹n, ko=ab¹⁰n, lo=ab²³, mo=b²⁴, no=ab²³, o²=b²⁴, b⁹p=ab⁸o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=ab⁶p, gp=b⁷p, hp=ab⁸p, ip=ab⁸o, jp=b⁹o, kp=b⁹n, lp=ab¹⁰n, mp=ab²³, np=b²⁴, op=ab²³, p²=b²⁴, b⁸q=ab⁷p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=ab⁶q, gq=b⁷q, hq=b⁷p, iq=ab⁸p, jq=ab⁸o, kq=b⁹o, lq=b⁹n, mq=ab¹⁰n, nq=ab²³, oq=b²⁴, pq=ab²³, q²=b²⁴, b⁷r=ab⁶q, cr=ab²r, dr=ab⁴r, er=b⁵r, fr=ab⁶r, gr=ab⁶q, hr=b⁷q, ir=b⁷p, jr=ab⁸p, kr=ab⁸o, lr=b⁹o, mr=b⁹n, nr=ab¹⁰n, or=ab²³, pr=b²⁴, qr=ab²³, r²=b²⁴, b⁶s=ab⁵r, cs=ab²s, ds=ab⁴s, es=b⁵s, fs=b⁵r, gs=ab⁶r, hs=ab⁶q, is=b⁷q, js=b⁷p, ks=ab⁸p, ls=ab⁸o, ms=b⁹o, ns=b⁹n, os=ab¹⁰n, ps=ab²³, qs=b²⁴, rs=ab²³, s²=b²⁴, b⁵t=ab⁴s, ct=ab²t, dt=ab⁴t, et=ab⁴s, ft=b⁵s, gt=b⁵r, ht=ab⁶r, it=ab⁶q, jt=b⁷q, kt=b⁷p, lt=ab⁸p, mt=ab⁸o, nt=b⁹o, ot=b⁹n, pt=ab¹⁰n, qt=ab²³, rt=b²⁴, st=ab²³, t²=b²⁴, b⁴u=ab³t, cu=ab²u, du=b³t, eu=ab⁴t, fu=ab⁴s, gu=b⁵s, hu=b⁵r, iu=ab⁶r, ju=ab⁶q, ku=b⁷q, lu=b⁷p, mu=ab⁸p, nu=ab⁸o, ou=b⁹o, pu=b⁹n, qu=ab¹⁰n, ru=ab²³, su=b²⁴, tu=ab²³, u²=b²⁴, b³v=ab²u, cv=ab²v, dv=b³u, ev=b³t, fv=ab⁴t, gv=ab⁴s, hv=b⁵s, iv=b⁵r, jv=ab⁶r, kv=ab⁶q, lv=b⁷q, mv=b⁷p, nv=ab⁸p, ov=ab⁸o, pv=b⁹o, qv=b⁹n, rv=ab¹⁰n, sv=ab²³, tv=b²⁴, uv=ab²³, v²=b²⁴, b²w=abv, cw=bv, dw=ab²u, ew=b³u, fw=b³t, gw=ab⁴t, hw=ab⁴s, iw=b⁵s, jw=b⁵r, kw=ab⁶r, lw=ab⁶q, mw=b⁷q, nw=b⁷p, ow=ab⁸p, pw=ab⁸o, qw=b⁹o, rw=b⁹n, sw=ab¹⁰n, tw=ab²³, uw=b²⁴, vw=ab²³, w²=b²⁴, bx=aw, cx=bw, dx=ab²v, ex=ab²u, fx=b³u, gx=b³t, hx=ab⁴t, ix=ab⁴s, jx=b⁵s, kx=b⁵r, lx=ab⁶r, mx=ab⁶q, nx=b⁷q, ox=b⁷p, px=ab⁸p, qx=ab⁸o, rx=b⁹o, sx=b⁹n, tx=ab¹⁰n, ux=ab²³, vx=b²⁴, wx=ab²³, x²=b²⁴, by=ax, cy=aw, dy=bv, ey=ab²v, fy=ab²u, gy=b³u, hy=b³t, iy=ab⁴t, jy=ab⁴s, ky=b⁵s, ly=b⁵r, my=ab⁶r, ny=ab⁶q, oy=b⁷q, py=b⁷p, qy=ab⁸p, ry=ab⁸o, sy=b⁹o, ty=b⁹n, uy=ab¹⁰n, vy=ab²³, wy=b²⁴, xy=ab²³, y²=b²⁴, bz=ay, cz=ax, dz=bw, ez=bv, fz=ab²v, gz=ab²u, hz=b³u, iz=b³t, jz=ab⁴t, kz=ab⁴s, lz=b⁵s, mz=b⁵r, nz=ab⁶r, oz=ab⁶q, pz=b⁷q, qz=b⁷p, rz=ab⁸p, sz=ab⁸o, tz=b⁹o, uz=b⁹n, vz=ab¹⁰n, wz=ab²³, xz=b²⁴, yz=ab²³, z²=b²⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, ab⁶k, bl, b³l, b⁵l, b⁷l, am, ab²m, ab⁴m, ab⁶m, ab⁸m, bn, b³n, b⁵n, b⁷n, b⁹n, 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}

Phi = 1 a a a a b b b b a a c c b b b³ b³ ab² ab² d d b³ b³ e e ab⁴ ab⁴ f f b⁵ b⁵ g g ab⁶ ab⁶ h h b⁷ b⁷ i i ab⁸ ab⁸ j j b⁹ b⁹ k k ab¹⁰ ab¹⁰ l l b¹¹ b¹¹ m m ab¹² ab¹² n n b¹³ b¹³ o o ab¹⁴ ab¹⁴ p p b¹⁵ b¹⁵ q q ab¹⁶ ab¹⁶ r r b¹⁷ b¹⁷ s s ab¹⁸ ab¹⁸ t t b¹⁹ b¹⁹ u u ab²⁰ ab²⁰ v v b²¹ b²¹ w w ab²² ab²² x x b²³ b²³ y y ab²⁴ ab²⁴ z z b²³ b²³

Monoid Structure