Details Page for 0.7551

Complete Solution is Known:

MSV File: q-0.7551.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₀(0.7551):

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, b²⁴=b²², bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², b²f=b⁹, cf=ab⁹, df=ab¹¹, ef=ab¹³, f²=b¹⁴, b³g=ab¹¹, cg=ab²g, dg=b¹², eg=b¹⁴, fg=ab¹⁵, g²=b¹⁶, b⁴h=b¹³, ch=ab²h, dh=ab¹³, eh=ab¹⁵, fh=b¹⁶, gh=ab¹⁷, h²=b¹⁸, b⁵i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=b¹⁶, fi=ab¹⁷, gi=b¹⁸, hi=ab¹⁹, i²=b²⁰, b⁶j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=ab¹⁷, fj=b¹⁸, gj=ab¹⁹, hj=b²⁰, ij=ab²¹, j²=b²², b⁷k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁶k, fk=ab¹⁹, gk=b²⁰, hk=ab²¹, ik=b²², jk=ab²³, k²=b²², b⁸l=b²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b⁷l, gl=ab²¹, hl=b²², il=ab²³, jl=b²², kl=ab²³, l²=b²², b⁹m=ab²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=b⁷m, gm=ab⁸m, hm=ab²³, im=b²², jm=ab²³, km=b²², lm=ab²³, m²=b²², b⁹n=ab⁸m, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=b⁷n, gn=ab⁸n, hn=ab⁸m, in=ab²³, jn=b²², kn=ab²³, ln=b²², mn=ab²³, n²=b²², b⁸o=ab⁷n, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=b⁷o, go=b⁷n, ho=ab⁸n, io=ab⁸m, jo=ab²³, ko=b²², lo=ab²³, mo=b²², no=ab²³, o²=b²², b⁷p=ab⁶o, cp=ab²p, dp=ab⁴p, ep=ab⁶p, fp=ab⁶o, gp=b⁷o, hp=b⁷n, ip=ab⁸n, jp=ab⁸m, kp=ab²³, lp=b²², mp=ab²³, np=b²², op=ab²³, p²=b²², b⁶q=ab⁵p, cq=ab²q, dq=ab⁴q, eq=b⁵p, fq=ab⁶p, gq=ab⁶o, hq=b⁷o, iq=b⁷n, jq=ab⁸n, kq=ab⁸m, lq=ab²³, mq=b²², nq=ab²³, oq=b²², pq=ab²³, q²=b²², b⁵r=ab⁴q, cr=ab²r, dr=ab⁴r, er=b⁵q, fr=b⁵p, gr=ab⁶p, hr=ab⁶o, ir=b⁷o, jr=b⁷n, kr=ab⁸n, lr=ab⁸m, mr=ab²³, nr=b²², or=ab²³, pr=b²², qr=ab²³, r²=b²², b⁴s=ab³r, cs=ab²s, ds=b³r, es=ab⁴q, fs=b⁵q, gs=b⁵p, hs=ab⁶p, is=ab⁶o, js=b⁷o, ks=b⁷n, ls=ab⁸n, ms=ab⁸m, ns=ab²³, os=b²², ps=ab²³, qs=b²², rs=ab²³, s²=b²², b³t=ab²s, ct=ab²t, dt=b³s, et=ab⁴r, ft=ab⁴q, gt=b⁵q, ht=b⁵p, it=ab⁶p, jt=ab⁶o, kt=b⁷o, lt=b⁷n, mt=ab⁸n, nt=ab⁸m, ot=ab²³, pt=b²², qt=ab²³, rt=b²², st=ab²³, t²=b²², b²u=abt, cu=bt, du=ab²s, eu=b³r, fu=ab⁴r, gu=ab⁴q, hu=b⁵q, iu=b⁵p, ju=ab⁶p, ku=ab⁶o, lu=b⁷o, mu=b⁷n, nu=ab⁸n, ou=ab⁸m, pu=ab²³, qu=b²², ru=ab²³, su=b²², tu=ab²³, u²=b²², bv=au, cv=bu, dv=ab²t, ev=b³s, fv=b³r, gv=ab⁴r, hv=ab⁴q, iv=b⁵q, jv=b⁵p, kv=ab⁶p, lv=ab⁶o, mv=b⁷o, nv=b⁷n, ov=ab⁸n, pv=ab⁸m, qv=ab²³, rv=b²², sv=ab²³, tv=b²², uv=ab²³, v²=b²², bw=av, cw=au, dw=bt, ew=ab²s, fw=b³s, gw=b³r, hw=ab⁴r, iw=ab⁴q, jw=b⁵q, kw=b⁵p, lw=ab⁶p, mw=ab⁶o, nw=b⁷o, ow=b⁷n, pw=ab⁸n, qw=ab⁸m, rw=ab²³, sw=b²², tw=ab²³, uw=b²², vw=ab²³, w²=b²², bx=aw, cx=av, dx=bu, ex=ab²t, fx=ab²s, gx=b³s, hx=b³r, ix=ab⁴r, jx=ab⁴q, kx=b⁵q, lx=b⁵p, mx=ab⁶p, nx=ab⁶o, ox=b⁷o, px=b⁷n, qx=ab⁸n, rx=ab⁸m, sx=ab²³, tx=b²², ux=ab²³, vx=b²², wx=ab²³, x²=b²², by=ax, cy=aw, dy=au, ey=bt, fy=ab²t, gy=ab²s, hy=b³s, iy=b³r, jy=ab⁴r, ky=ab⁴q, ly=b⁵q, my=b⁵p, ny=ab⁶p, oy=ab⁶o, py=b⁷o, qy=b⁷n, ry=ab⁸n, sy=ab⁸m, ty=ab²³, uy=b²², vy=ab²³, wy=b²², xy=ab²³, y²=b²², bz=ay, cz=ax, dz=av, ez=bu, fz=bt, gz=ab²t, hz=ab²s, iz=b³s, jz=b³r, kz=ab⁴r, lz=ab⁴q, mz=b⁵q, nz=b⁵p, oz=ab⁶p, pz=ab⁶o, qz=b⁷o, rz=b⁷n, sz=ab⁸n, tz=ab⁸m, uz=ab²³, vz=b²², wz=ab²³, xz=b²², yz=ab²³, z²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², af, bg, ah, ab²h, bi, b³i, aj, ab²j, ab⁴j, bk, b³k, b⁵k, al, ab²l, ab⁴l, ab⁶l, bm, b³m, b⁵m, b⁷m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, bo, b³o, b⁵o, b⁷o, ap, ab²p, ab⁴p, ab⁶p, bq, b³q, b⁵q, ar, ab²r, ab⁴r, bs, b³s, at, ab²t, bu, av, ax, az}

Phi = 1 a b a b c b³ d b⁵ e f g h i j k l m n o p q r s t u v w x y z

Monoid Structure