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 Q₃₁(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 | a²=1, b²¹=b¹⁹, 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=ab¹⁹, i²=b²⁰, b⁵j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁸, fj=b²⁰, gj=ab¹⁹, hj=b²⁰, ij=ab¹⁹, j²=b²⁰, b⁶k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=ab¹⁹, fk=ab¹⁹, gk=b²⁰, hk=ab¹⁹, ik=b²⁰, jk=ab¹⁹, k²=b²⁰, b⁷l=ab¹⁹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b²⁰, gl=ab¹⁹, hl=b²⁰, il=ab¹⁹, jl=b²⁰, kl=ab¹⁹, l²=b²⁰, b⁶m=ab⁵l, cm=ab²m, dm=ab⁴m, em=b⁵l, fm=ab¹⁹, gm=b²⁰, hm=ab¹⁹, im=b²⁰, jm=ab¹⁹, km=b²⁰, lm=ab¹⁹, m²=b²⁰, b⁵n=ab⁴m, cn=ab²n, dn=ab⁴n, en=b⁵m, fn=ab⁶l, gn=ab¹⁹, hn=b²⁰, in=ab¹⁹, jn=b²⁰, kn=ab¹⁹, ln=b²⁰, mn=ab¹⁹, n²=b²⁰, b⁴o=ab³n, co=ab²o, do=b³n, eo=ab⁴m, fo=b⁵l, go=ab⁶l, ho=ab¹⁹, io=b²⁰, jo=ab¹⁹, ko=b²⁰, lo=ab¹⁹, mo=b²⁰, no=ab¹⁹, o²=b²⁰, b³p=ab²o, cp=ab²p, dp=b³o, ep=ab⁴n, fp=b⁵m, gp=b⁵l, hp=ab⁶l, ip=ab¹⁹, jp=b²⁰, kp=ab¹⁹, lp=b²⁰, mp=ab¹⁹, np=b²⁰, op=ab¹⁹, p²=b²⁰, b²q=abp, cq=bp, dq=ab²o, eq=b³n, fq=ab⁴m, gq=b⁵m, hq=b⁵l, iq=ab⁶l, jq=ab¹⁹, kq=b²⁰, lq=ab¹⁹, mq=b²⁰, nq=ab¹⁹, oq=b²⁰, pq=ab¹⁹, q²=b²⁰, br=aq, cr=bq, dr=ab²p, er=b³o, fr=ab⁴n, gr=ab⁴m, hr=b⁵m, ir=b⁵l, jr=ab⁶l, kr=ab¹⁹, lr=b²⁰, mr=ab¹⁹, nr=b²⁰, or=ab¹⁹, pr=b²⁰, qr=ab¹⁹, r²=b²⁰, bs=ar, cs=aq, ds=bp, es=ab²o, fs=b³n, gs=ab⁴n, hs=ab⁴m, is=b⁵m, js=b⁵l, ks=ab⁶l, ls=ab¹⁹, ms=b²⁰, ns=ab¹⁹, os=b²⁰, ps=ab¹⁹, qs=b²⁰, rs=ab¹⁹, s²=b²⁰, bt=as, ct=ar, dt=bq, et=ab²p, ft=b³o, gt=b³n, ht=ab⁴n, it=ab⁴m, jt=b⁵m, kt=b⁵l, lt=ab⁶l, mt=ab¹⁹, nt=b²⁰, ot=ab¹⁹, pt=b²⁰, qt=ab¹⁹, rt=b²⁰, st=ab¹⁹, t²=b²⁰, bu=at, cu=as, du=aq, eu=bp, fu=ab²o, gu=b³o, hu=b³n, iu=ab⁴n, ju=ab⁴m, ku=b⁵m, lu=b⁵l, mu=ab⁶l, nu=ab¹⁹, ou=b²⁰, pu=ab¹⁹, qu=b²⁰, ru=ab¹⁹, su=b²⁰, tu=ab¹⁹, u²=b²⁰, bv=au, cv=at, dv=ar, ev=bq, fv=ab²p, gv=ab²o, hv=b³o, iv=b³n, jv=ab⁴n, kv=ab⁴m, lv=b⁵m, mv=b⁵l, nv=ab⁶l, ov=ab¹⁹, pv=b²⁰, qv=ab¹⁹, rv=b²⁰, sv=ab¹⁹, tv=b²⁰, uv=ab¹⁹, v²=b²⁰, bw=av, cw=au, dw=as, ew=aq, fw=bp, gw=ab²p, hw=ab²o, iw=b³o, jw=b³n, kw=ab⁴n, lw=ab⁴m, mw=b⁵m, nw=b⁵l, ow=ab⁶l, pw=ab¹⁹, qw=b²⁰, rw=ab¹⁹, sw=b²⁰, tw=ab¹⁹, uw=b²⁰, vw=ab¹⁹, w²=b²⁰, bx=aw, cx=av, dx=at, ex=ar, fx=bq, gx=bp, hx=ab²p, ix=ab²o, jx=b³o, kx=b³n, lx=ab⁴n, mx=ab⁴m, nx=b⁵m, ox=b⁵l, px=ab⁶l, qx=ab¹⁹, rx=b²⁰, sx=ab¹⁹, tx=b²⁰, ux=ab¹⁹, vx=b²⁰, wx=ab¹⁹, x²=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, bn, b³n, ao, ab²o, bp, aq, as, au, aw}

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

Monoid Structure