Details Page for 0.7132

Complete Solution is Known:

MSV File: q-0.7132.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₉₈(0.7132):

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, b²⁴=b²², bc=ab³, c²=b⁴, b²d=b⁵, cd=ab⁵, d²=b⁶, b³e=b⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=b⁹, cf=ab²f, df=b³f, ef=b⁹, f²=b¹⁰, b⁵g=b¹¹, cg=ab²g, dg=b³g, eg=b⁴g, fg=b¹¹, g²=b¹², b⁶h=b¹³, ch=ab²h, dh=b³h, eh=b⁴h, fh=b⁵h, gh=b¹³, h²=b¹⁴, b⁷i=b¹⁵, ci=ab²i, di=b³i, ei=b⁴i, fi=b⁵i, gi=b⁶i, hi=b¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=ab²j, dj=b³j, ej=b⁴j, fj=b⁵j, gj=b⁶j, hj=b⁷j, ij=b¹⁷, j²=b¹⁸, b⁹k=b¹⁹, ck=ab²k, dk=b³k, ek=b⁴k, fk=b⁵k, gk=b⁶k, hk=b⁷k, ik=b⁸k, jk=b¹⁹, k²=b²⁰, b¹⁰l=b²¹, cl=ab²l, dl=b³l, el=b⁴l, fl=b⁵l, gl=b⁶l, hl=b⁷l, il=b⁸l, jl=b⁹l, kl=b²¹, l²=b²², b¹¹m=b²³, cm=ab²m, dm=b³m, em=b⁴m, fm=b⁵m, gm=b⁶m, hm=b⁷m, im=b⁸m, jm=b⁹m, km=b¹⁰m, lm=b²³, m²=b²², b¹¹n=b¹⁰m, cn=ab²n, dn=b³n, en=b⁴n, fn=b⁵n, gn=b⁶n, hn=b⁷n, in=b⁸n, jn=b⁹n, kn=b¹⁰n, ln=b¹⁰m, mn=b²³, n²=b²², b¹⁰o=b⁹n, co=ab²o, do=b³o, eo=b⁴o, fo=b⁵o, go=b⁶o, ho=b⁷o, io=b⁸o, jo=b⁹o, ko=b⁹n, lo=b¹⁰n, mo=b¹⁰m, no=b²³, o²=b²², b⁹p=b⁸o, cp=ab²p, dp=b³p, ep=b⁴p, fp=b⁵p, gp=b⁶p, hp=b⁷p, ip=b⁸p, jp=b⁸o, kp=b⁹o, lp=b⁹n, mp=b¹⁰n, np=b¹⁰m, op=b²³, p²=b²², b⁸q=b⁷p, cq=ab²q, dq=b³q, eq=b⁴q, fq=b⁵q, gq=b⁶q, hq=b⁷q, iq=b⁷p, jq=b⁸p, kq=b⁸o, lq=b⁹o, mq=b⁹n, nq=b¹⁰n, oq=b¹⁰m, pq=b²³, q²=b²², b⁷r=b⁶q, cr=ab²r, dr=b³r, er=b⁴r, fr=b⁵r, gr=b⁶r, hr=b⁶q, ir=b⁷q, jr=b⁷p, kr=b⁸p, lr=b⁸o, mr=b⁹o, nr=b⁹n, or=b¹⁰n, pr=b¹⁰m, qr=b²³, r²=b²², b⁶s=b⁵r, cs=ab²s, ds=b³s, es=b⁴s, fs=b⁵s, gs=b⁵r, hs=b⁶r, is=b⁶q, js=b⁷q, ks=b⁷p, ls=b⁸p, ms=b⁸o, ns=b⁹o, os=b⁹n, ps=b¹⁰n, qs=b¹⁰m, rs=b²³, s²=b²², b⁵t=b⁴s, ct=ab²t, dt=b³t, et=b⁴t, ft=b⁴s, gt=b⁵s, ht=b⁵r, it=b⁶r, jt=b⁶q, kt=b⁷q, lt=b⁷p, mt=b⁸p, nt=b⁸o, ot=b⁹o, pt=b⁹n, qt=b¹⁰n, rt=b¹⁰m, st=b²³, t²=b²², b⁴u=b³t, cu=ab²u, du=b³u, eu=b³t, fu=b⁴t, gu=b⁴s, hu=b⁵s, iu=b⁵r, ju=b⁶r, ku=b⁶q, lu=b⁷q, mu=b⁷p, nu=b⁸p, ou=b⁸o, pu=b⁹o, qu=b⁹n, ru=b¹⁰n, su=b¹⁰m, tu=b²³, u²=b²², b³v=b²u, cv=ab²v, dv=b²u, ev=b³u, fv=b³t, gv=b⁴t, hv=b⁴s, iv=b⁵s, jv=b⁵r, kv=b⁶r, lv=b⁶q, mv=b⁷q, nv=b⁷p, ov=b⁸p, pv=b⁸o, qv=b⁹o, rv=b⁹n, sv=b¹⁰n, tv=b¹⁰m, uv=b²³, v²=b²², b²w=bv, cw=abv, dw=b²v, ew=b²u, fw=b³u, gw=b³t, hw=b⁴t, iw=b⁴s, jw=b⁵s, kw=b⁵r, lw=b⁶r, mw=b⁶q, nw=b⁷q, ow=b⁷p, pw=b⁸p, qw=b⁸o, rw=b⁹o, sw=b⁹n, tw=b¹⁰n, uw=b¹⁰m, vw=b²³, w²=b²², bx=w, cx=abw, dx=bv, ex=b²v, fx=b²u, gx=b³u, hx=b³t, ix=b⁴t, jx=b⁴s, kx=b⁵s, lx=b⁵r, mx=b⁶r, nx=b⁶q, ox=b⁷q, px=b⁷p, qx=b⁸p, rx=b⁸o, sx=b⁹o, tx=b⁹n, ux=b¹⁰n, vx=b¹⁰m, wx=b²³, x²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², d, be, f, b²f, bg, b³g, h, b²h, b⁴h, bi, b³i, b⁵i, j, b²j, b⁴j, b⁶j, bk, b³k, b⁵k, b⁷k, l, b²l, b⁴l, b⁶l, b⁸l, bm, b³m, b⁵m, b⁷m, b⁹m, n, b²n, b⁴n, b⁶n, b⁸n, b¹⁰n, bo, b³o, b⁵o, b⁷o, b⁹o, p, b²p, b⁴p, b⁶p, b⁸p, bq, b³q, b⁵q, b⁷q, r, b²r, b⁴r, b⁶r, bs, b³s, b⁵s, t, b²t, b⁴t, bu, b³u, v, b²v, bw, x}

Phi = 1 a b a 1 ab 1 ab b a b c 1 ab ac ab³ b c d abd b² ad e abe b³ ae f abf b⁴ af g abg b⁵ ag h abh b⁶ ah i abi b⁷ ai j abj b⁸ aj k abk b⁹ ak l abl b¹⁰ al m abm b¹¹ am n abn b¹² an o abo b¹³ ao p abp b¹⁴ ap q abq b¹⁵ aq r abr b¹⁶ ar s abs b¹⁷ as t abt b¹⁸ at u abu b¹⁹ au v abv b²⁰ av w abw b²¹ aw x aw b²² ax

Monoid Structure