Details Page for 0.3042

Complete Solution is Known:

MSV File: q-0.3042.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₈(0.3042):

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, b¹²c=ab¹⁴, b⁸c²=b¹², c³=ab²c², b⁹d=ab¹⁰c, cd=abc², d²=b²c², be=ac², ce=bc², de=ab²c², e²=b²c², b¹²f=ab¹⁴, 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, b⁸i=b¹⁰f, ci=b⁴c², di=ab⁵c², ei=b⁵c², fi=b⁶c², gi=ab⁷c², hi=b⁷c², i²=b¹², b³j=ab³i, cj=abch, dj=b⁵c², ej=ab⁵c², fj=ab⁶c², gj=b⁷c², hj=ab⁷c², ij=ab¹², j²=b¹², b⁴k=b⁵i, bck=bfh, c²k=ab⁷c², dk=abfh, ek=bfh, fk=b⁷c², gk=ab¹², hk=b¹², ik=b¹³, jk=ab¹³, k²=b¹⁴, b⁴l=ab⁷c², c²l=ab⁷c², bdl=ab²cl, el=b⁶c², gl=abfl, hl=b¹², il=b²fl, jl=ab²fl, kl=b³fl, l²=b¹⁴, bm=ack, cm=bfh, dm=ab⁷c², em=b⁷c², fm=b¹², gm=ab¹³, hm=b¹³, im=b¹⁴, jm=ab¹⁴, km=b¹⁵, lm=b¹⁵, m²=b¹⁴, b⁴n=b³cl, cn=ab²n, dn=b³n, en=ab³n, fn=ab³cl, gn=b¹³, hn=ab¹³, in=ab¹⁴, jn=b¹⁴, kn=ab¹⁵, ln=ab¹⁵, mn=ab¹⁴, n²=b¹⁴, b⁵o=b⁷i, co=b²n, do=ab³n, eo=b³n, fo=b³cl, go=ab¹³, ho=b¹³, 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=ab¹³, b³dq=ab⁴cq, eq=b¹², 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, b³x=bw, b²cx=cw, c²x=ab¹⁵, b²dx=dw, ex=b¹⁴, fx=cx, gx=abcx, hx=b¹⁴, ix=abdx, jx=bdx, kx=adw, lx=b¹⁴, mx=b¹⁵, nx=ab¹⁵, ox=abdw, px=b¹⁴, qx=b¹⁴, rx=ab¹⁵, sx=b¹⁴, tx=b¹⁴, ux=ab¹⁵, vx=b¹⁴, wx=b¹⁴, x²=b¹⁴, b⁵y=bv, cy=ab²y, dy=b³y, ey=ab³y, fy=ab⁴y, gy=bv, hy=abv, iy=ab²v, jy=b²v, ky=b²u, ly=b²u, my=b³u, ny=ab³u, oy=b³u, py=ab³s, qy=ab³s, ry=b⁴s, sy=b⁴r, ty=b⁴r, uy=ab⁵r, vy=b³fl, wy=b³fl, xy=b¹⁴, y²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, ab²c, ab⁴c, ab⁶c, ab⁸c, ab¹⁰c, c², b²c², b⁴c², b⁶c², bd, b³d, b⁵d, b⁷d, ab²f, ab⁴f, ab⁶f, ab⁸f, ab¹⁰f, ag, bh, ab²i, ab⁴i, ab⁶i, 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, abx, bcx, adx, y, b²y, b⁴y}

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 b¹² bu v av w bv ab³y b³y b¹⁴ ab⁴y b²y ab²y x b³y aby by b¹⁴ ab²y y ay

Monoid Structure