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 Q₃₂(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 | a²=1, b²²=b²⁰, 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=b²⁰, b⁵j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁸, fj=b²⁰, gj=ab²¹, hj=b²⁰, ij=ab²¹, j²=b²⁰, b⁶k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=ab¹⁹, fk=ab²¹, gk=b²⁰, hk=ab²¹, ik=b²⁰, jk=ab²¹, k²=b²⁰, b⁷l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b²⁰, gl=ab²¹, hl=b²⁰, il=ab²¹, jl=b²⁰, kl=ab²¹, l²=b²⁰, b⁷m=ab⁶l, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²¹, gm=b²⁰, hm=ab²¹, im=b²⁰, jm=ab²¹, km=b²⁰, lm=ab²¹, m²=b²⁰, b⁶n=ab⁵m, cn=ab²n, dn=ab⁴n, en=b⁵m, fn=ab⁶l, gn=ab²¹, hn=b²⁰, in=ab²¹, jn=b²⁰, kn=ab²¹, ln=b²⁰, mn=ab²¹, n²=b²⁰, b⁵o=ab⁴n, co=ab²o, do=ab⁴o, eo=b⁵n, fo=ab⁶m, go=ab⁶l, ho=ab²¹, io=b²⁰, jo=ab²¹, ko=b²⁰, lo=ab²¹, mo=b²⁰, no=ab²¹, o²=b²⁰, b⁴p=ab³o, cp=ab²p, dp=b³o, ep=ab⁴n, fp=b⁵m, gp=ab⁶m, hp=ab⁶l, ip=ab²¹, jp=b²⁰, kp=ab²¹, lp=b²⁰, mp=ab²¹, np=b²⁰, op=ab²¹, p²=b²⁰, b³q=ab²p, cq=ab²q, dq=b³p, eq=ab⁴o, fq=b⁵n, gq=b⁵m, hq=ab⁶m, iq=ab⁶l, jq=ab²¹, kq=b²⁰, lq=ab²¹, mq=b²⁰, nq=ab²¹, oq=b²⁰, pq=ab²¹, q²=b²⁰, b²r=abq, cr=bq, dr=ab²p, er=b³o, fr=ab⁴n, gr=b⁵n, hr=b⁵m, ir=ab⁶m, jr=ab⁶l, kr=ab²¹, lr=b²⁰, mr=ab²¹, nr=b²⁰, or=ab²¹, pr=b²⁰, qr=ab²¹, r²=b²⁰, bs=ar, cs=br, ds=ab²q, es=b³p, fs=ab⁴o, gs=ab⁴n, hs=b⁵n, is=b⁵m, js=ab⁶m, ks=ab⁶l, ls=ab²¹, ms=b²⁰, ns=ab²¹, os=b²⁰, ps=ab²¹, qs=b²⁰, rs=ab²¹, s²=b²⁰, bt=as, ct=ar, dt=bq, et=ab²p, ft=b³o, gt=ab⁴o, ht=ab⁴n, it=b⁵n, jt=b⁵m, kt=ab⁶m, lt=ab⁶l, mt=ab²¹, nt=b²⁰, ot=ab²¹, pt=b²⁰, qt=ab²¹, rt=b²⁰, st=ab²¹, t²=b²⁰, bu=at, cu=as, du=br, eu=ab²q, fu=b³p, gu=b³o, hu=ab⁴o, iu=ab⁴n, ju=b⁵n, ku=b⁵m, lu=ab⁶m, mu=ab⁶l, nu=ab²¹, ou=b²⁰, pu=ab²¹, qu=b²⁰, ru=ab²¹, su=b²⁰, tu=ab²¹, u²=b²⁰, bv=au, cv=at, dv=ar, ev=bq, fv=ab²p, gv=b³p, hv=b³o, iv=ab⁴o, jv=ab⁴n, kv=b⁵n, lv=b⁵m, mv=ab⁶m, nv=ab⁶l, ov=ab²¹, pv=b²⁰, qv=ab²¹, rv=b²⁰, sv=ab²¹, tv=b²⁰, uv=ab²¹, v²=b²⁰, bw=av, cw=au, dw=as, ew=br, fw=ab²q, gw=ab²p, hw=b³p, iw=b³o, jw=ab⁴o, kw=ab⁴n, lw=b⁵n, mw=b⁵m, nw=ab⁶m, ow=ab⁶l, pw=ab²¹, qw=b²⁰, rw=ab²¹, sw=b²⁰, tw=ab²¹, uw=b²⁰, vw=ab²¹, w²=b²⁰, bx=aw, cx=av, dx=at, ex=ar, fx=bq, gx=ab²q, hx=ab²p, ix=b³p, jx=b³o, kx=ab⁴o, lx=ab⁴n, mx=b⁵n, nx=b⁵m, ox=ab⁶m, px=ab⁶l, qx=ab²¹, rx=b²⁰, sx=ab²¹, tx=b²⁰, ux=ab²¹, vx=b²⁰, wx=ab²¹, x²=b²⁰, by=ax, cy=aw, dy=au, ey=as, fy=br, gy=bq, hy=ab²q, iy=ab²p, jy=b³p, ky=b³o, ly=ab⁴o, my=ab⁴n, ny=b⁵n, oy=b⁵m, py=ab⁶m, qy=ab⁶l, ry=ab²¹, sy=b²⁰, ty=ab²¹, uy=b²⁰, vy=ab²¹, wy=b²⁰, xy=ab²¹, y²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, ag, bh, ai, ab²i, bj, b³j, ak, ab²k, ab⁴k, bl, b³l, b⁵l, am, ab²m, ab⁴m, ab⁶m, bn, b³n, b⁵n, ao, ab²o, ab⁴o, bp, b³p, aq, ab²q, br, as, au, aw, ay}

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

Monoid Structure