Details Page for 0.3062

Complete Solution is Known:

MSV File: q-0.3062.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₉₈(0.3062):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a²=1, b²¹=b¹⁹, b²c=ab⁴, c²=b⁴, b²d=ab⁶, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b²f=ab⁷, ef=abdf, f²=b¹⁰, b²g=bcf, cg=abcf, dg=ab¹⁰, eg=b¹¹, fg=ab¹¹, g²=b¹², b³h=abdf, ch=ab²h, dh=b¹¹, eh=ab¹², fh=b¹², gh=ab¹³, h²=b¹⁴, b⁵i=b¹³, ci=ab²i, di=ab⁴i, ei=b¹³, fi=ab¹³, gi=b¹⁴, hi=ab¹⁵, i²=b¹⁶, b⁶j=ab¹⁵, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁵j, gj=ab¹⁵, hj=b¹⁶, ij=ab¹⁷, j²=b¹⁸, b⁷k=b¹⁷, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁵k, gk=b⁶k, hk=ab¹⁷, ik=b¹⁸, jk=ab¹⁹, k²=b²⁰, b⁸l=ab¹⁹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁵l, gl=b⁶l, hl=ab⁷l, il=ab¹⁹, jl=b²⁰, kl=ab¹⁹, l²=b²⁰, b⁹m=b¹⁹, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁵m, gm=b⁶m, hm=ab⁷m, im=b⁸m, jm=ab¹⁹, km=b²⁰, lm=ab¹⁹, m²=b²⁰, b⁸n=ab⁷m, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=ab⁵n, gn=b⁶n, hn=ab⁷n, in=ab⁷m, jn=b⁸m, kn=ab¹⁹, ln=b²⁰, mn=ab¹⁹, n²=b²⁰, b⁷o=ab⁶n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=ab⁵o, go=b⁶o, ho=b⁶n, io=ab⁷n, jo=ab⁷m, ko=b⁸m, lo=ab¹⁹, mo=b²⁰, no=ab¹⁹, o²=b²⁰, b⁶p=ab⁵o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=ab⁵p, gp=ab⁵o, hp=b⁶o, ip=b⁶n, jp=ab⁷n, kp=ab⁷m, lp=b⁸m, mp=ab¹⁹, np=b²⁰, op=ab¹⁹, p²=b²⁰, b⁵q=ab⁴p, cq=ab²q, dq=ab⁴q, eq=ab⁴p, fq=b⁴p, gq=ab⁵p, hq=ab⁵o, iq=b⁶o, jq=b⁶n, kq=ab⁷n, lq=ab⁷m, mq=b⁸m, nq=ab¹⁹, oq=b²⁰, pq=ab¹⁹, q²=b²⁰, b⁴r=ab³q, cr=ab²r, dr=b³q, er=ab⁴q, fr=b⁴q, gr=b⁴p, hr=ab⁵p, ir=ab⁵o, jr=b⁶o, kr=b⁶n, lr=ab⁷n, mr=ab⁷m, nr=b⁸m, or=ab¹⁹, pr=b²⁰, qr=ab¹⁹, r²=b²⁰, b³s=ab²r, cs=ab²s, ds=b³r, es=b³q, fs=ab³q, gs=b⁴q, hs=b⁴p, is=ab⁵p, js=ab⁵o, ks=b⁶o, ls=b⁶n, ms=ab⁷n, ns=ab⁷m, os=b⁸m, ps=ab¹⁹, qs=b²⁰, rs=ab¹⁹, s²=b²⁰, b²t=abs, ct=bs, dt=ab²r, et=b³r, ft=ab³r, gt=ab³q, ht=b⁴q, it=b⁴p, jt=ab⁵p, kt=ab⁵o, lt=b⁶o, mt=b⁶n, nt=ab⁷n, ot=ab⁷m, pt=b⁸m, qt=ab¹⁹, rt=b²⁰, st=ab¹⁹, t²=b²⁰, bu=at, cu=bt, du=ab²s, eu=ab²r, fu=b²r, gu=ab³r, hu=ab³q, iu=b⁴q, ju=b⁴p, ku=ab⁵p, lu=ab⁵o, mu=b⁶o, nu=b⁶n, ou=ab⁷n, pu=ab⁷m, qu=b⁸m, ru=ab¹⁹, su=b²⁰, tu=ab¹⁹, u²=b²⁰, bv=au, cv=at, dv=bs, ev=ab²s, fv=b²s, gv=b²r, hv=ab³r, iv=ab³q, jv=b⁴q, kv=b⁴p, lv=ab⁵p, mv=ab⁵o, nv=b⁶o, ov=b⁶n, pv=ab⁷n, qv=ab⁷m, rv=b⁸m, sv=ab¹⁹, tv=b²⁰, uv=ab¹⁹, v²=b²⁰, bw=av, cw=au, dw=bt, ew=bs, fw=abs, gw=b²s, hw=b²r, iw=ab³r, jw=ab³q, kw=b⁴q, lw=b⁴p, mw=ab⁵p, nw=ab⁵o, ow=b⁶o, pw=b⁶n, qw=ab⁷n, rw=ab⁷m, sw=b⁸m, tw=ab¹⁹, uw=b²⁰, vw=ab¹⁹, w²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, ae, bf, abg, h, b²h, abi, ab³i, j, b²j, b⁴j, abk, ab³k, ab⁵k, l, b²l, b⁴l, b⁶l, abm, ab³m, ab⁵m, ab⁷m, n, b²n, b⁴n, b⁶n, abo, ab³o, ab⁵o, p, b²p, b⁴p, abq, ab³q, r, b²r, abs, t, v}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b² abc bc abc ab³ d ad d b⁴ e ae e f abe g abe b⁶ bg h bg ab⁷ bh i bh b⁸ bi j bi ab⁹ bj k bj b¹⁰ bk l bk ab¹¹ bl m bl b¹² bm n bm ab¹³ bn o bn b¹⁴ bo p bo ab¹⁵ bp q bp b¹⁶ bq r bq ab¹⁷ br s br b¹⁸ bs t bs ab¹⁹ bt u bt b²⁰ at v at ab¹⁹ au w au b²⁰ av

Monoid Structure