Details Page for 0.3052

Complete Solution is Known:

MSV File: q-0.3052.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₀(0.3052):

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 | a²=1, b¹⁶=b¹⁴, b¹⁴c=ab¹⁴, b¹⁰c²=b¹⁴, c³=ab²c², b¹¹d=ab¹²c, cd=abc², d²=b²c², be=ac², ce=bc², de=ab²c², e²=b²c², b¹²f=b¹²c, cf=b²c², df=ab³c², ef=b³c², f²=b⁴c², b²g=ab³f, cg=ab³c², dg=b⁴c², eg=ab⁴c², fg=ab⁵c², g²=b⁶c², b²h=ab³c², c²h=ab⁵c², dh=abch, eh=b⁴c², gh=abfh, h²=b⁶c², b¹⁰i=b¹²c, ci=b⁴c², di=ab⁵c², ei=b⁵c², fi=b⁶c², gi=ab⁷c², hi=b⁷c², i²=b⁸c², b³j=ab³i, cj=abch, dj=b⁵c², ej=ab⁵c², fj=ab⁶c², gj=b⁷c², hj=ab⁷c², ij=ab⁸c², j²=b⁸c², b⁴k=b⁵i, bck=bfh, c²k=ab⁷c², dk=abfh, ek=bfh, fk=b⁷c², gk=ab⁸c², hk=b⁸c², ik=b⁹c², jk=ab⁹c², k²=b¹⁴, b⁴l=ab⁷c², c²l=ab⁷c², bdl=ab²cl, el=b⁶c², gl=abfl, hl=b⁸c², il=b²fl, jl=ab²fl, kl=b³fl, l²=b¹⁴, bm=ack, cm=bfh, dm=ab⁷c², em=b⁷c², fm=b⁸c², gm=ab⁹c², hm=b⁹c², im=b¹⁴, jm=ab¹⁴, km=b¹⁵, lm=b¹⁵, m²=b¹⁴, b⁴n=b³cl, cn=ab²n, dn=b³n, en=ab³n, fn=ab³cl, gn=b⁹c², hn=ab⁹c², in=ab¹⁴, jn=b¹⁴, kn=ab¹⁵, ln=ab¹⁵, mn=ab¹⁴, n²=b¹⁴, b⁵o=b⁷i, co=b²n, do=ab³n, eo=b³n, fo=b³cl, go=ab⁹c², ho=b⁹c², io=b¹⁴, jo=ab¹⁴, ko=b¹⁵, lo=b¹⁵, mo=b¹⁴, no=ab¹⁴, o²=b¹⁴, b⁵p=ab³fl, cp=ab²p, dp=b³p, ep=ab³p, fp=ab⁴p, gp=ab³fl, hp=b³fl, ip=b¹⁵, jp=ab¹⁵, kp=b¹⁴, lp=b¹⁴, mp=b¹⁵, np=ab¹⁵, op=b¹⁵, p²=b¹⁴, b⁶q=ab¹⁵, b⁵cq=b³fl, c²q=ab⁹c², b³dq=ab⁴cq, eq=b⁸c², b³fq=b³cq, gq=abfq, hq=b¹⁴, biq=ab²dq, jq=aiq, kq=ab²dq, lq=b¹⁴, mq=b¹⁵, nq=ab¹⁵, oq=b⁴cq, pq=b¹⁴, q²=b¹⁴, b⁶r=b³fl, cr=ab²r, dr=b³r, er=ab³r, fr=ab⁴r, gr=b⁵r, hr=ab⁵r, ir=ab³fl, jr=b³fl, kr=ab¹⁵, lr=ab¹⁵, mr=ab¹⁴, nr=b¹⁴, or=ab¹⁴, pr=ab¹⁵, qr=ab¹⁵, r²=b¹⁴, b⁵s=ab⁴r, cs=ab²s, ds=b³s, es=ab³s, fs=ab⁴s, gs=ab⁴r, hs=b⁴r, is=b⁵r, js=ab⁵r, ks=b³fl, ls=b³fl, ms=b¹⁵, ns=ab¹⁵, os=b¹⁵, ps=b¹⁴, qs=b¹⁴, rs=ab¹⁵, s²=b¹⁴, b⁷t=b⁵q, b³ct=bfq, c²t=ab¹⁵, b³dt=aiq, et=b¹⁴, bft=bct, gt=abct, ht=b¹⁴, it=abdt, jt=bdt, kt=ab²dt, lt=b¹⁴, mt=b¹⁵, nt=ab¹⁵, ot=iq, pt=b¹⁴, qt=b¹⁴, rt=ab¹⁵, st=b¹⁴, t²=b¹⁴, b⁴u=ab³s, cu=ab²u, du=b³u, eu=ab³u, fu=b³s, gu=ab⁴s, hu=b⁴s, iu=ab⁴r, ju=b⁴r, ku=ab⁵r, lu=ab⁵r, mu=ab³fl, nu=b³fl, ou=ab³fl, pu=ab¹⁵, qu=ab¹⁵, ru=b¹⁴, su=ab¹⁵, tu=ab¹⁵, u²=b¹⁴, b³v=ab²u, cv=ab²v, dv=ab²u, ev=b²u, fv=b³u, gv=b³s, hv=ab³s, iv=ab⁴s, jv=b⁴s, kv=b⁴r, lv=b⁴r, mv=b⁵r, nv=ab⁵r, ov=b⁵r, pv=b³fl, qv=b³fl, rv=ab¹⁵, sv=b¹⁴, tv=b¹⁴, uv=ab¹⁵, v²=b¹⁴, b⁵w=b³t, b²cw=ft, c²w=ab¹⁵, b²dw=dt, ew=b¹⁴, fw=cw, gw=abcw, hw=b¹⁴, iw=abdw, jw=bdw, kw=adt, lw=b¹⁴, mw=b¹⁵, nw=ab¹⁵, ow=abdt, pw=b¹⁴, qw=b¹⁴, rw=ab¹⁵, sw=b¹⁴, tw=b¹⁴, uw=ab¹⁵, vw=b¹⁴, w²=b¹⁴, b⁵x=bv, cx=ab²x, dx=b³x, ex=ab³x, fx=ab⁴x, gx=bv, hx=abv, ix=ab²v, jx=b²v, kx=b²u, lx=b²u, mx=b³u, nx=ab³u, ox=b³u, px=ab³s, qx=ab³s, rx=b⁴s, sx=b⁴r, tx=b⁴r, ux=ab⁵r, vx=b³fl, wx=b³fl, x²=b¹⁴, b⁵y=bw, b⁴cy=cw, c²y=ab¹⁵, b⁴dy=dw, ey=b¹⁴, fy=cy, gy=abcy, hy=b¹⁴, iy=abdy, jy=bdy, ky=ab²dy, ly=b¹⁴, my=b¹⁵, ny=ab¹⁵, oy=ab³dy, py=b¹⁴, qy=b¹⁴, ry=ab¹⁵, sy=b¹⁴, ty=b¹⁴, uy=ab¹⁵, vy=b¹⁴, wy=b¹⁴, xy=b¹⁴, y²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, ab²c, ab⁴c, ab⁶c, ab⁸c, ab¹⁰c, ab¹²c, c², b²c², b⁴c², b⁶c², b⁸c², bd, b³d, b⁵d, b⁷d, b⁹d, ab²f, ab⁴f, ab⁶f, ab⁸f, ab¹⁰f, ag, bh, ab²i, ab⁴i, ab⁶i, ab⁸i, abj, k, b²k, ack, abl, b³l, adl, abn, ab³n, bo, b³o, p, b²p, b⁴p, abq, ab³q, b⁵q, bcq, adq, ab²dq, bfq, abr, ab³r, ab⁵r, s, b²s, b⁴s, abt, ab³t, ab⁵t, bct, adt, ab²dt, abu, ab³u, v, b²v, abw, ab³w, bcw, adw, x, b²x, b⁴x, aby, ab³y, bcy, b³cy, ady, ab²dy}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b² d ad d e f af f c² g ag g h i j aj b²c² bj k ak l m n o b⁴c² bn p ap q bp r ar b⁶c² br s as t bs u au b⁸c² bu v av w bv ab³x b³x b¹⁴ ab⁴x b²x ab²x b²y b³x abx bx b¹⁴ ab²x x ax y bx

Monoid Structure