Details Page for 0.7571

Complete Solution is Known:

MSV File: q-0.7571.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₀(0.7571):

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=ab⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=b⁹, cf=ab²f, df=b³f, ef=ab⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=b³g, eg=ab⁴g, fg=ab¹¹, g²=b¹², b⁶h=b¹³, ch=ab²h, dh=b³h, eh=ab⁴h, fh=b⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=b³i, ei=ab⁴i, fi=b⁵i, gi=ab⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=ab²j, dj=b³j, ej=ab⁴j, fj=b⁵j, gj=ab⁶j, hj=b⁷j, ij=ab¹⁷, j²=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=b³k, ek=ab⁴k, fk=b⁵k, gk=ab⁶k, hk=b⁷k, ik=ab⁸k, jk=ab¹⁹, k²=b²⁰, b¹⁰l=b²¹, cl=ab²l, dl=b³l, el=ab⁴l, fl=b⁵l, gl=ab⁶l, hl=b⁷l, il=ab⁸l, jl=b⁹l, kl=ab²¹, l²=b²², b¹¹m=ab²³, cm=ab²m, dm=b³m, em=ab⁴m, fm=b⁵m, gm=ab⁶m, hm=b⁷m, im=ab⁸m, jm=b⁹m, km=ab¹⁰m, lm=ab²³, m²=b²², b¹¹n=ab¹⁰m, cn=ab²n, dn=b³n, en=ab⁴n, fn=b⁵n, gn=ab⁶n, hn=b⁷n, in=ab⁸n, jn=b⁹n, kn=ab¹⁰n, ln=ab¹⁰m, mn=ab²³, n²=b²², b¹⁰o=ab⁹n, co=ab²o, do=b³o, eo=ab⁴o, fo=b⁵o, go=ab⁶o, ho=b⁷o, io=ab⁸o, jo=b⁹o, ko=b⁹n, lo=ab¹⁰n, mo=ab¹⁰m, no=ab²³, o²=b²², b⁹p=ab⁸o, cp=ab²p, dp=b³p, ep=ab⁴p, fp=b⁵p, gp=ab⁶p, hp=b⁷p, ip=ab⁸p, jp=ab⁸o, kp=b⁹o, lp=b⁹n, mp=ab¹⁰n, np=ab¹⁰m, op=ab²³, p²=b²², b⁸q=ab⁷p, cq=ab²q, dq=b³q, eq=ab⁴q, fq=b⁵q, gq=ab⁶q, hq=b⁷q, iq=b⁷p, jq=ab⁸p, kq=ab⁸o, lq=b⁹o, mq=b⁹n, nq=ab¹⁰n, oq=ab¹⁰m, pq=ab²³, q²=b²², b⁷r=ab⁶q, cr=ab²r, dr=b³r, er=ab⁴r, fr=b⁵r, gr=ab⁶r, hr=ab⁶q, ir=b⁷q, jr=b⁷p, kr=ab⁸p, lr=ab⁸o, mr=b⁹o, nr=b⁹n, or=ab¹⁰n, pr=ab¹⁰m, qr=ab²³, r²=b²², b⁶s=ab⁵r, cs=ab²s, ds=b³s, es=ab⁴s, fs=b⁵s, gs=b⁵r, hs=ab⁶r, is=ab⁶q, js=b⁷q, ks=b⁷p, ls=ab⁸p, ms=ab⁸o, ns=b⁹o, os=b⁹n, ps=ab¹⁰n, qs=ab¹⁰m, rs=ab²³, s²=b²², b⁵t=ab⁴s, ct=ab²t, dt=b³t, et=ab⁴t, ft=ab⁴s, gt=b⁵s, ht=b⁵r, it=ab⁶r, jt=ab⁶q, kt=b⁷q, lt=b⁷p, mt=ab⁸p, nt=ab⁸o, ot=b⁹o, pt=b⁹n, qt=ab¹⁰n, rt=ab¹⁰m, st=ab²³, t²=b²², b⁴u=ab³t, cu=ab²u, du=b³u, eu=b³t, fu=ab⁴t, gu=ab⁴s, hu=b⁵s, iu=b⁵r, ju=ab⁶r, ku=ab⁶q, lu=b⁷q, mu=b⁷p, nu=ab⁸p, ou=ab⁸o, pu=b⁹o, qu=b⁹n, ru=ab¹⁰n, su=ab¹⁰m, tu=ab²³, u²=b²², b³v=ab²u, cv=ab²v, dv=ab²u, ev=b³u, fv=b³t, gv=ab⁴t, hv=ab⁴s, iv=b⁵s, jv=b⁵r, kv=ab⁶r, lv=ab⁶q, mv=b⁷q, nv=b⁷p, ov=ab⁸p, pv=ab⁸o, qv=b⁹o, rv=b⁹n, sv=ab¹⁰n, tv=ab¹⁰m, uv=ab²³, v²=b²², b²w=abv, cw=bv, dw=ab²v, ew=ab²u, fw=b³u, gw=b³t, hw=ab⁴t, iw=ab⁴s, jw=b⁵s, kw=b⁵r, lw=ab⁶r, mw=ab⁶q, nw=b⁷q, ow=b⁷p, pw=ab⁸p, qw=ab⁸o, rw=b⁹o, sw=b⁹n, tw=ab¹⁰n, uw=ab¹⁰m, vw=ab²³, w²=b²², bx=aw, cx=bw, dx=bv, ex=ab²v, fx=ab²u, gx=b³u, hx=b³t, ix=ab⁴t, jx=ab⁴s, kx=b⁵s, lx=b⁵r, mx=ab⁶r, nx=ab⁶q, ox=b⁷q, px=b⁷p, qx=ab⁸p, rx=ab⁸o, sx=b⁹o, tx=b⁹n, ux=ab¹⁰n, vx=ab¹⁰m, wx=ab²³, x²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, b⁵i, aj, ab²j, ab⁴j, ab⁶j, bk, b³k, b⁵k, b⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, bm, b³m, b⁵m, b⁷m, b⁹m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, ab¹⁰n, bo, b³o, b⁵o, b⁷o, b⁹o, ap, ab²p, ab⁴p, ab⁶p, ab⁸p, bq, b³q, b⁵q, b⁷q, ar, ab²r, ab⁴r, ab⁶r, bs, b³s, b⁵s, at, ab²t, ab⁴t, bu, b³u, av, ab²v, bw, ax}

Phi = 1 a b a b c b c b³ c d abd d e abe e f abf f g abg g h abh h i abi i j abj j k abk k l abl l m abm m n abn n o abo o p abp p q abq q r abr r s abs s t abt t u abu u v abv v w abw w x w x

Monoid Structure